2025 SIAM New York-New Jersey-Pennsylvania Section Annual Conference

Registration

Opening Remarks & Plenary Talk (Room 100): George Karniadakis (Brown University)

Coffee break

Minisymposium Sessions
Theory, Computation, and Applications for Nonlocal Models
Advances in the Mathematics of Infectious Diseases
Recent Mathematical and Computational Modeling Advances in Life Sciences
Recent Advances of Innovative Numerical Methods for Nonlinear PDEs
Computational Thermodynamics: Energy and Energy Landscape
Partial Differential Equations: Theory and Computations
Quantifying and Controlling Uncertainty in Complex Systems
Recent Advances in Scientific Machine Learning Arising from PDEs
Recent Developments for Numerical Methods for PDEs
Computational and Probabilistic Methods: From Theory to Practice
Physics-Guided & Generative AI for Scientific Computing: Theory, Algorithms and Applications
Optimal Transport in Biological Sciences
Low-Rank Adaptation for Efficient Fine-Tuning in Foundation Models
Nonlinear Waves in Fluids
Recent advances in quantum machine learning
Advances in Modeling and Computation of Transport Problems
Scientific Machine Learning with Robust Computation
Contributed talks
Contributed talks
Computational Dynamics

10:00 - 12:00 (2h)

Theory, Computation, and Applications for Nonlocal Models

111

Session 1

› Interacting particle dynamics for sampling in high dimensions - Dejan Slepcev, Carnegie Mellon University 10:00-10:24 (24min)

› Compactness Results for a Nonlocal Dirichlet Energy and some applications - Tadele Mengesha, University of Tennessee 10:24-10:48 (24min)

› Recent advances on asymptotically compatible schemes for nonlocal models - Xiaochuan Tian, Department of Mathematics [Univ California San Diego] 10:48-11:12 (24min)

› Nonlocal models with local boundary conditions in semi-supervised learning - James M. Scott, Department of Mathematics and Statistics [Auburn] 11:12-11:36 (24min)

› Data-Driven Particle Dynamics: A Structure-Preserving Method for Emergent Behavior in Nonequilibrium Systems - Max Win, School of Engineering and Applied Science, University of Pennsylvania 11:36-12:00 (24min)

10:00 - 12:00 (2h)

Advances in the Mathematics of Infectious Diseases

112

› Exploring the Feedback Loop Between Behavior and Public Health - Alice Oveson, University System of Maryland 10:00-10:30 (30min)

› Leveraging inter-species competition to improve the effectiveness of the sterile insect technique - Alex Safsten, University of Maryland [College Park] 10:24-10:48 (24min)

› Mathematical assessment of the role of temperature variability on Lyme disease dynamics in Maryland - Salihu Musa, University of Maryland [College Park] 10:48-11:12 (24min)

› Mathematical assessment of the roles of vaccination and Pap screening on the incidence of HPV and related cancers in the Republic of Korea - Soyoung Park, University of Maryland 11:12-11:36 (24min)

› Mathematical modeling of the impact of age-targeted and dose-structured vaccination on malaria dynamics - Arnaja Mitra, University of Maryland 11:36-12:00 (24min)

10:00 - 12:00 (2h)

Recent Mathematical and Computational Modeling Advances in Life Sciences

117

Session 1

› Modeling and nonlinear simulation of solid tumor growth - Shuwang Li, Department of Applied Mathematics 10:00-10:24 (24min)

› Synchronized Optimal Transport - Yanxiang Zhao, George Washington University 10:24-10:48 (24min)

› Evaluate the role of impulsive intervention on some network models - Yanyu Xiao, University of Cincinnati 10:48-11:12 (24min)

› Convergence of the Regularised Immersed Boundary Method - Alexandre Milewski, Courant Institute of Mathematical Sciences [New York] 11:12-11:36 (24min)

› Data-Driven Modeling of Amyloid-beta Targeted Antibodies for Alzheimer's Disease - Kobra Rabiei, Pennsylvania State University 11:36-12:00 (24min)

10:00 - 12:00 (2h)

Recent Advances of Innovative Numerical Methods for Nonlinear PDEs

118

Session 1

› A Locally Conservative Proximal Galerkin Method for Pointwise Bound Constraints - Guosheng Fu, Guosheng Fu 10:00-10:24 (24min)

› Inverse radiative transfer via goal-oriented adaptive mesh refinement - Shukai Du, Syracuse University 10:24-10:48 (24min)

› Simulation of Cascade Gating in Ion Selectivity and Current Regulation - Pei Liu, Florida Institute of Technology 10:48-11:12 (24min)

› Dynamically Regularized Lagrange Multiplier Method for the Incompressible Navier–Stokes Equations: Stability and Convergence - Cao-Kha Doan, Auburn University 11:12-11:36 (24min)

› Energetic Variational Neural Network Discretizations of gradient flows - Yiwei Wang, University of California [Riverside] 11:36-12:00 (24min)

10:00 - 12:00 (2h)

Computational Thermodynamics: Energy and Energy Landscape

119

Session 1

› Entropy as Information: A unified, trajectory-driven route - Qijun Hong, Arizona State University [Tempe] 10:00-10:24 (24min)

› Configurational entropy in solid and liquid silicon - Talid Sinno, University of Pennsylvania 10:24-10:48 (24min)

› Zentropy - Zi-Kui Liu, Department of Materials Science and Engineering, The Pennsylvania State University 10:48-11:12 (24min)

› Energy Landscapes of Electron Hopping in Conductive Polymers: From Single-Chain Dynamics to Device Functionality - Ziyun Miao, Johns Hopkins University 11:12-11:36 (24min)

› ZENN: A Thermodynamics-Inspired Computational Framework for Heterogeneous Data-Driven Modeling - Shun Wang, Department of Mathematics, Penn state University 11:36-12:00 (24min)

10:00 - 12:00 (2h)

Quantifying and Controlling Uncertainty in Complex Systems

121

Session 1

› A Scalable and Extensible Importance Sampling Based Framework for Safety-critical Systems Evaluation - Kostas G. Papakonstantinou, Pennsylvania State University 10:00-10:24 (24min)

› Computing Rare Bifurcations in Dynamical Systems - Anirudh Subramanyam, Pennsylvania State University 10:24-10:48 (24min)

› Reduced-order moment closure models for uncertainty quantification of multiscale complex systems - Di Qi, Department of mathematics Purdue University 10:48-11:12 (24min)

› Conformalized Decision Risk Assessment - Woody Zhu, Carnegie Mellon University [Pittsburgh] 11:12-11:36 (24min)

› A Class of Interpretable and Decomposable Multi-period Convex Risk Measures - Luhao Zhang, Johns Hopkins University 11:36-12:00 (24min)

10:00 - 12:00 (2h)

Recent Advances in Scientific Machine Learning Arising from PDEs

122

Session 1

› Algebraically Precondition a Linear System With Graph Neural Networks - Jie Chen, IBM Research 10:00-10:24 (24min)

› Data-driven discovery of conservation laws, Lax pairs, and system integrability - Wei Zhu, School of Mathematics - Georgia Institute of Technology 10:24-10:48 (24min)

› Adaptive sampling and transfer learning for PDE models - Andreas Aristotelous, University of Akron 10:48-11:12 (24min)

› Multiscale Neural Networks for Approximating Green's Functions - Yahong Yang, School of Mathematics - Georgia Institute of Technology 11:12-11:36 (24min)

› SSBE-PINN: A Sobolev Boundary Scheme Boosting Stability and Accuracy in Elliptic/Parabolic PDE Learning - Chuqi CHEN, the Hong Kong University of Science and Technology 11:36-12:00 (24min)

10:00 - 12:00 (2h)

Recent Developments for Numerical Methods for PDEs

124

Session 1

› Subspace correction methods for semicoercive and nearly semicoercive convex variational problems - Jongho Park, King Abdullah University of Science and Technology [Saudi Arabia] 10:00-10:24 (24min)

› Multiple Solutions of Nonlinear Differential Equations - Sun Lee, The Pennsylvania State University 10:24-10:48 (24min)

› Greedy algorithm based on localized RBFs for solution of fractional convection-diffusion-reaction equation - Reza Mollapourasl, Farmingdale State College - Majid Haghi, Farhangian University 10:48-11:12 (24min)

› Abstract Spectral Approximation Theories and Finite Element Methods for PDE Eigenvalue Problems - Jiguang Sun, Michigan Technological Univeristy 11:12-11:36 (24min)

10:00 - 12:00 (2h)

Computational and Probabilistic Methods: From Theory to Practice

125

Session 1

› A criterion for crystallization in hard-core lattice particle systems - Ian Jauslin, Rutgers University 10:00-10:24 (24min)

› Hydrodynamic limits for interacting particles with two spatial scales - Daniel Chen, Brown University 10:24-10:48 (24min)

› Antithetic Noise in Diffusion Models - Guanyang Wang, Rutgers University 10:48-11:12 (24min)

› Random weights of DNNs and emergence of fixed points - Oleksii Krupchytskyi, Pennsylvania State University 11:12-11:36 (24min)

› Cutoff for the Swendsen-Wang dynamics on the complete graph - Blanca Antonio, Pennsylvania State University 11:36-12:00 (24min)

10:00 - 12:00 (2h)

Optimal Transport in Biological Sciences

208

Session 1

› Optimal transport reveals dynamic gene regulatory networks via gene velocity estimation - Ritambhara Singh, Department of Computer Science 10:00-10:24 (24min)

› Optimal Transport based metrics and statistics for quantifying cell shape heterogeneity - Wenjun Zhao, Wake Forest University 10:24-10:48 (24min)

› Efficient Trajectory Inference in Wasserstein Space Using Consecutive Averaging - Amartya Banerjee, University of North Carolina at Chapel Hill 10:48-11:12 (24min)

› Generative Particle Flows with Force-Matching for Reconstructing Nonlinear Cellular Dynamics - Hyemin Gu, University of Massachusetts [Amherst] 11:12-11:36 (24min)

› Synchronized Optimal Transport for Trajectory Inference in Biological Systems - Jingfeng Wang, North Carolina State University 11:36-12:00 (24min)

10:00 - 12:00 (2h)

Low-Rank Adaptation for Efficient Fine-Tuning in Foundation Models

209

› Bridging Model Heterogeneity via LoRA-Based Knowledge Distillation in Federated Learning - Yujia Wang, Pennsylvania State University 10:00-10:24 (24min)

› Non-Convex Tensor Recovery from Tube-Wise Sensing - Tongle Wu, Department of Electrical Engineering, The Pennsylvania State University. 10:24-10:48 (24min)

› Federated Fine-tuning of Large Language Models under Heterogeneous Tasks and Client Resources - Jiamu Bai, Pennsylvania State University 10:48-11:12 (24min)

› FLoRA: Federated Fine-Tuning Foundation Models with Heterogeneous Low-Rank Adaptations - Ziyao Wang, University of Maryland [College Park] 11:12-11:36 (24min)

› PrunedLoRA: Efficient and Robust Gradient-Based Structural Pruning for Low-rank Adaptation in Fine-tuning - Xin Yu, Xin Yu 11:36-12:00 (24min)

10:00 - 12:00 (2h)

Nonlinear Waves in Fluids

210

Session 1

› Exact solution and integrability of ballistic motion of fluid with free surface - Pavel Lushnikov, University of New Mexico 10:00-10:24 (24min)

› Instabilities of steep Stokes waves - Sergey Dyachenko, State University of New York at Buffalo 10:24-10:48 (24min)

› Well-posedness and stability of the Benjamin-Ono equation with quasiperiodic initial data - Sultan Aitzhan, Drexel University 10:48-11:12 (24min)

› Riemann problems, rarefaction waves, dispersive shocks and soliton refraction in the stationary Kadomtsev-Petviashvili and good Boussinesq equations - Lin Haodong, State University of New York at Buffalo 11:12-11:36 (24min)

› Recent progress on soliton gases in two spatial dimensions - Gino Biondini, State University of New York [Buffalo] 11:36-12:00 (24min)

10:00 - 12:00 (2h)

Recent advances in quantum machine learning

215

Session 1

› Derivative-Free Quasi-Newton Optimization for Variational Quantum Algorithms - Dongwei Shi, Lehigh University [Bethlehem] 10:00-10:24 (24min)

› Operator-Level Quantum Acceleration of Non-Logconcave Sampling - Jiaqi Leng, University of California [Berkeley] 10:24-10:48 (24min)

› Recent Progress in Quantum Eigenvalue Problems - Ruizhe Zhang, Department of Computer Science [Purdue] 10:48-11:12 (24min)

› On the practical boundary of quantum computing advantages - Junyu Liu, University of Pittsburgh 11:12-11:36 (24min)

› Critical Perspectives on Quantum Computing for Power System Computational Problems - Masoud Barati, University of Pittsburgh 11:36-12:00 (24min)

10:00 - 12:00 (2h)

Advances in Modeling and Computation of Transport Problems

216

Session 1

› Reduced Basis Methods for Parametric Steady-State Radiative Transfer Equation - Fengyan Li, Rensselaer Polytechnic Institute 10:00-10:24 (24min)

› A Nodal Discontinuous Galerkin Method with Low-Rank Velocity Space Representation for the Multi-Scale BGK Model - Joseph Nakao, Swarthmore College 10:24-10:48 (24min)

› A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation - Ziyao Xu, Binghamton University 10:48-11:12 (24min)

› Adaptive-Rank Methods for the Multi-Scale BGK Equation via Greedy Sampling - William Sands, University of Delaware 11:12-11:36 (24min)

› Invariant Measures for Data-Driven Dynamical System Identification - Jonah Botvinick-Greenhouse, Cornell University 11:36-12:00 (24min)

10:00 - 12:00 (2h)

Contributed talks

218

Session 1

› A Modified Hermite Radial Basis Function for Accurate Interpolation - Amirhossein Fashamiha, University at Buffalo [SUNY] 10:00-10:24 (24min)

› Cryo-EM images are intrinsically low-dimensional - Luke Evans, Center for Computational Mathematics, Flatiron Institute 10:24-10:48 (24min)

› Dense binary images have large connected components - Kyle Fridberg, Center for Applied Mathematics [Ithaca] 10:48-11:12 (24min)

› HV Metric For Time-Domain Full Waveform Inversion - Matej Neumann, Department of Mathematics [Cornell] 11:12-11:36 (24min)

› Image Registration and Direct Inversion in the Ultrasound Elasticity Imaging Field - Rebecca Rodrigues, Rochester Institute of Technology 11:36-12:00 (24min)

10:00 - 12:00 (2h)

Computational Dynamics

110

› MSE Culpa - Why the mean-squared-error is not enough for machine learning of chaotic dynamical systems - Romit Maulik, Pennsylvania State University 10:00-10:24 (24min)

› Modal Analysis of Quasi-Periodic Systems via Multi-variate Gaussian Process Regression - Jiwoo Song, The Pennsylvania State University 10:24-10:48 (24min)

› Koopman Eigenfunctions, Synchronization, and Arnold Tongues for Coupled Stochastic Oscillators - Maxwell Kreider, Pennsylvania State University 10:48-11:12 (24min)

› Geometric local parameterization for solving Hele-Shaw problems with surface tension - Zengyan Zhang, Pennsylvania State University 11:12-11:36 (24min)

› A Fully Implicit Hybrid Method for Kinetic Equations: Efficient Time Integration via Coarse-Fine Velocity Grid Coupling - Evan Habbershaw, Pennsylvania State University 11:36-12:00 (24min)

Lunch (Dining Hall)
Poster Session

Plenary Talk (Room 100): Abba Gumel (University of Maryland)

Minisymposium Sessions
Recent Advances in Numerical Scheme-Inspired Data-driven Methods
Scientific Machine Learning for Dynamical Systems and Inverse Problems
Recent Developments in Applied Inverse Problems and Imaging
Theory, Computation, and Applications for Nonlocal Models
Mathematical modelling for infectious diseases and interventions
AI for Math
Recent Mathematical and Computational Modeling Advances in Life Sciences
Recent Advances of Innovative Numerical Methods for Nonlinear PDEs
Computational Thermodynamics: Energy and Energy Landscape
Partial Differential Equations: Theory and Computations
Quantifying and Controlling Uncertainty in Complex Systems
Recent Advances in Scientific Machine Learning Arising from PDEs
Recent Developments for Numerical Methods for PDEs
Computational and Probabilistic Methods: From Theory to Practice
Physics-Guided & Generative AI for Scientific Computing: Theory, Algorithms and Applications
Optimal Transport in Biological Sciences
Foundation Models: From Theory to Practice
Nonlinear Waves in Fluids
Recent advances in quantum machine learning
Scientific Machine Learning with Robust Computation
Contributed talks
Contributed talks
New Algorithms and Theory for Reinforcement Learning

14:30 - 16:30 (2h)

Scientific Machine Learning for Dynamical Systems and Inverse Problems

220

› Physics-scaling informed data-driven turbulent inflow generation - Xiang Yang, Pennsylvania State University 14:30-14:54 (24min)

› Bayesian Inversion for Elliptic PDEs on unknown manifolds - John Harlim, The Pennsylvania State University 14:54-15:18 (24min)

› Multimodal Atmospheric Super-Resolution With Deep Generative Models - Haiwen Guan, The Pennsylvania State University 15:18-15:42 (24min)

› Hyperbolic machine learning moment closures for kinetic equations - Juntao Huang, Department of Mathematical Sciences 15:42-16:06 (24min)

› Parametrizing Contact Diffeomorphisms - George Kevrekidis, Johns Hopkins University 16:06-16:30 (24min)

14:30 - 16:30 (2h)

Recent Developments in Applied Inverse Problems and Imaging

110

Session 1

› Extending Qualitative Methods to Biharmonic Scattering - Isaac Harris, Purdue University 14:30-14:54 (24min)

› All-at-once alternating minimization method for an inverse medium scattering problem - Thanh Nguyen 14:54-15:18 (24min)

› Identifying defective units in infinite periodic arrays of sources - Nhung Nguyen, Kansas State University 15:18-15:42 (24min)

› Statistical Inversion using Deep Network and Level Set Methods for Diffuse Optical Imaging - Taufiquar Khan, University of North Carolina at Charlotte 15:42-16:06 (24min)

› Inside-out duality for scattering poles - Jiguang Sun, Michigan Technological Univeristy 16:06-16:30 (24min)

14:30 - 16:30 (2h)

Theory, Computation, and Applications for Nonlocal Models

111

Session 2

› Interplay between Inertia and Viscous Stress in Continuum Defect Dynamics - Kaushik Dayal, Carnegie Mellon University [Pittsburgh] 14:30-14:54 (24min)

› Nonlocal Models for Traffic Flow - Wen Shen, Pennsylvania State University 14:54-15:18 (24min)

› Seamless multiphysics coupling with peridynamics enabled by nodal finite element approximation - Prashant K. Jha, South Dakota School of Mines and Technology 15:18-15:42 (24min)

› Nonlinear Fractional Modeling of Viscoelasticity in Biotissues - Ziwei Yang, Lehigh University [Bethlehem] 15:42-16:06 (24min)

› Monotone Nonlocal Neural Operator for Material Modeling with Conditionally Unique Solutions - Yue Yu, Lehigh University 16:06-16:30 (24min)

14:30 - 16:30 (2h)

Mathematical modelling for infectious diseases and interventions

112

› A General Analytic Approach to Predicting the Best Antibiotic Dosing Regimen - Leah Childers, Pennsylvania State University 14:30-14:54 (24min)

› Inference of asymptomatic carriers of antimicrobial-resistant organisms in healthcare settings using multimodal observations - Sen Pei, Columbia University 14:54-15:18 (24min)

› Multiple Rational Behaviors in a Cholera Intervention Game - Connor Olson, Pennsylvania State University 15:18-15:42 (24min)

› Modeling PrEP-on-demand strategies to prevent HIV transmission - Jessica Conway, Pennsylvania State University 15:42-16:06 (24min)

› Stochastic Models of Viral Replication Dynamics: Extinction of Virus and Host - Rahnuma Islam, University of Pittsburgh, University of Pittsburgh 16:06-16:30 (24min)

14:30 - 16:30 (2h)

Recent Mathematical and Computational Modeling Advances in Life Sciences

117

Session 2

› Virtual Cohorts for Within‑Host Cholera and Immune Dynamics - Harsh Jain, Department of Mathematical Sciences, University of Minnesota [Duluth] 14:30-14:54 (24min)

› Modeling treatment of osteoarthritis with standard therapy and senolytic drugs - Nourridine Siewe, Rochester Institute of Technology 14:54-15:18 (24min)

› Toward Governing Equations for Agent-Based SIR Models: Calibrating Time-Varying Transmission - Erick Anderson, University of Minnesota [Duluth] 15:18-15:42 (24min)

› A Systematic Computational Framework for Practical Identifiability Analysis - Shun Wang, Department of Mathematics, Penn state University 15:42-16:06 (24min)

› Who's In and Who's Out: Leveraging Homogeneous Preclinical Data to Extrapolate Tumor Growth Outcomes Across Heterogeneous Populations - Chloe George 16:06-16:30 (24min)

14:30 - 16:30 (2h)

Recent Advances of Innovative Numerical Methods for Nonlinear PDEs

118

Session 2

› An Efficient, Decoupled, and Linearly Stabilized Scheme for Phase-Field Models with Variable Mobility - Zhiwei Zhang, Department of Applied Mathematics, Illinois Institute of Technology 14:30-14:54 (24min)

› Analysis and Computation of a Generalized Ohta-Kawasaki Model - Yanxiang Zhao, George Washington University 14:54-15:18 (24min)

› Stability and Time-Step Constraints of Exponential Time Differencing Runge–Kutta Discontinuous Galerkin Methods for Advection-Diffusion Equations - Ziyao Xu, Binghamton University 15:18-15:42 (24min)

› Efficient optimization-based invariant-domain-preserving limiter for high-order discontinuous Galerkin methods of solving compressible Euler equations - Chen Liu, University of Arkansas [Fayetteville] 15:42-16:06 (24min)

› Structure-preserving reduced order models for thermodynamically consistent reversible-irreversible PDEs - Zengyan Zhang, The Pennsylvania State University 16:06-16:30 (24min)

14:30 - 16:30 (2h)

Computational Thermodynamics: Energy and Energy Landscape

119

Session 2

› Melting of planetary materials determined by machine learning potentials - Jie Deng, Department of Geosciences [Princeton] 14:30-14:54 (24min)

› Designing selective cell targeting with multivalent interactions - Tine Curk, Johns Hopkins University 14:54-15:18 (24min)

› Zentropy and the Recursive Property of Entropy for the Calculation of Free Energy Landscapes - Luke Myers, Pennsylvania State University 15:18-15:42 (24min)

› Thermoelasticity and the free energy landscape of H-bond disorder and symmetrization: atomistic simulations of δ-AlOOH at high pressure - Chenxing Luo, Columbia University, Department of Geosciences [Princeton] 15:42-16:06 (24min)

› Ab-initio CALPHAD modeling of NaNH2BH3 for solid-state H2 storage applications - Ricardo Amaral, Department of Energy and Mineral Engineering, The Pennsylvania State University 16:06-16:30 (24min)

14:30 - 16:30 (2h)

Partial Differential Equations: Theory and Computations

120

Session 2

› Lᵖ-based theory for PDEs on closed manifolds of minimal regularity: A novel and elementary approach - Gonzalo Benavides, University of Maryland [College Park] 14:30-14:54 (24min)

› Surface Stokes Without Inf-Sup Condition - Mansur Shakipov, University of Maryland [College Park] 14:54-15:18 (24min)

› A priori error analysis of the proximal Galerkin method for variational problems with inequality constraints - Masri Rami, Brown University 15:18-15:42 (24min)

› FINITE ELEMENT APPROXIMATION TO LINEAR, SECOND ORDER, PARABOLIC EQUATIONS WITH L1 DATA - Abner Salgado, University of Tennessee System 15:42-16:06 (24min)

› Quasi-neutral limit and the mixer layer problem of Planck-Nernst-Poisson-Navier-Stokes equations for electro-hydrodynamics - Shu Wang, Beijing University of Technology 16:06-16:30 (24min)

14:30 - 16:30 (2h)

Quantifying and Controlling Uncertainty in Complex Systems

121

Session 2

› How to build a consistency model: Learning flow maps via self-distillation - Boffi Nicholas, Machine Learning Department [Carnegie Mellon Univ.] 14:30-14:54 (24min)

› On Over-Parametrized Models and Sobolev Training - Li Matthew, University of Massachusetts [Amherst] 14:54-15:18 (24min)

› Hyperparameter optimization for Gaussian process methods - Nicholas Nelsen, Department of Mathematics [Cornell] 15:18-15:42 (24min)

› Bridging the Model Hierarchy: A Physics-Guided Machine Learning Framework for High-Resolution Climate Simulation Enhancement - Pouria Behnoudfar, University of Wisconsin Madison 15:42-16:06 (24min)

› Spectral Regularized Kernel Two-Sample Tests - Omar Hagrass, Princeton university, department of operations research and financial engineering 16:06-16:30 (24min)

14:30 - 16:30 (2h)

Recent Advances in Scientific Machine Learning Arising from PDEs

122

Session 2

› Neural Approximate Inverse Preconditioners - Yuanzhe Xi, Emory University [Atlanta, GA] 14:30-14:54 (24min)

› A Natural Deep Ritz Method for Essential Boundary Value Problems - Shuo Zhang, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, University of Chinese Academy of Sciences 14:54-15:18 (24min)

› Computing ground states of Bose-Einstein condensation by normalized deep neural network - Zhipeng Chang, Pennsylvania State University 15:18-15:42 (24min)

› Randomized Greedy Algorithms for Neural Network Optimization in Solving PDEs - Xiaofeng Xu, Pennsylvania State University 15:42-16:06 (24min)

› Randomized subspace correction methods for convex optimization - Jongho Park, King Abdullah University of Science and Technology [Saudi Arabia] 16:06-16:30 (24min)

14:30 - 16:30 (2h)

Physics-Guided & Generative AI for Scientific Computing: Theory, Algorithms and Applications

207

Session 2

› Error Analysis of Operator Learning on the Space of Probability Measures - Frank Cole, University of Minnesota [Twin Cities] 14:30-14:54 (24min)

› Constrained Policy Optimization for Large Language Model Alignment - Dongsheng Ding, The University of Tennessee [Knoxville] 14:54-15:18 (24min)

› On exploration of an interior mirror descent flow for stochastic nonconvex constrained problem - Kuangyu Ding, School of Industrial Engineering, Purdue University 15:18-15:42 (24min)

› LoDAdaC: a unified local training-based decentralized framework with Adam-type updates and compressed communication - Yangyang Xu, Rensselaer Polytechnic Institute 15:42-16:06 (24min)

14:30 - 16:30 (2h)

Foundation Models: From Theory to Practice

209

Session 1

› Towards Interpretable Time Series Foundation Models - Tengfei Ma, Stony Brook University 14:30-14:54 (24min)

› Sparse and Low-Dimensional Structures in Deep Networks - Akshay Rangamani, New Jersey Institute of Technology [Newark] 14:54-15:18 (24min)

› A Foundation Model Approach for Learning Causal Graphs - Naiyu Yin, Lehigh University 15:18-15:42 (24min)

› PDE Foundation Model: Generalization, Learning to Learn and more - Jingmin Sun, Johns Hopkins University 15:42-16:06 (24min)

› Toward Universal Foundation Model for Neuroimaging - Huang Haoxu, New York University 16:06-16:30 (24min)

14:30 - 16:30 (2h)

Recent advances in quantum machine learning

215

Session 2

› Quantum DeepONet: Neural operators accelerated by quantum computing - Pengpeng Xiao, Yale University [New Haven] 14:30-14:54 (24min)

› Quantum Machine Learning Applications in High Energy Physics and Beyond - Konstantin Matchev, University of Alabama [Tuscaloosa] 14:54-15:18 (24min)

› Quantum-Assisted Machine Learning for Physics AI and Surrogate Modeling - Alex Khan, BQP 15:18-15:42 (24min)

› Quantum-Inspired Hamiltonian Descent for LLM Sparsification - Yuxiang Peng, Department of Computer Science [Purdue] 15:42-16:06 (24min)

› PolarGrad: A Class of Matrix-Gradient Optimizers from a Unifying Preconditioning Perspective - Weijie Su, University of Pennsylvania 16:06-16:30 (24min)

14:30 - 16:30 (2h)

New Algorithms and Theory for Reinforcement Learning

222

› Explainable reinforcement learning from human feedback to improve language model alignment - Shicheng Liu, Pennsylvania State University 14:30-14:54 (24min)

› Data-Driven Knowledge Transfer in Batch Q* Learning - Wenbo Jing, New York University 14:54-15:18 (24min)

› Federated Online Reinforcement Learning - Zhong Zheng, University of Pennsylvania 15:18-15:42 (24min)

› Robust Decision Making Without Compromising Learning Efficiency - Laixi Shi, Department of Electrical and Computer Engineering [Johns Hopkins University] 15:42-16:06 (24min)

› Gap-Dependent Analysis for Online Q-Learning - Haochen Zhang, Pennsylvania State University 16:06-16:30 (24min)

Coffee break

Plenary Talk (Room 100): Noel Walkington (Carnegie Mellon University)

Banquet and Business Meeting

Registration

Minisymposium Sessions
Recent Developments in Applied Inverse Problems and Imaging
Experimental sciences and mathematical modeling
Multiscale Techniques in Scientific Machine Learning
Advances in Numerical Linear Algebra and Applications
Recent Advances of Innovative Numerical Methods for Nonlinear PDEs
Computational Thermodynamics: Energy and Energy Landscape
Partial Differential Equations: Theory and Computations
Quantifying and Controlling Uncertainty in Complex Systems
Recent Advances in Scientific Machine Learning Arising from PDEs
Recent Developments for Numerical Methods for PDEs
Computational and Probabilistic Methods: From Theory to Practice
Physics-Guided & Generative AI for Scientific Computing: Theory, Algorithms and Applications
Collective Behavior for Biologically Inspired and Social Systems
Foundation Models: From Theory to Practice
Recent advances in low-rank methods and their applications
Contributed talks
Contributed talks
Contributed talks
Advances in Modeling and Computation of Transport Problems

8:30 - 10:30 (2h)

Recent Developments in Applied Inverse Problems and Imaging

110

Session 2

› Integral equations for linear flexural-gravity waves - Hoskins Jeremy, University of Chicago 08:30-08:54 (24min)

› Super-resolution Imaging in Disordered Media - Alexei Novikov, Penn State 08:54-09:18 (24min)

› A fast reconstruction method for radiating sources in Maxwell's equations - Le Thu, University of Wisconsin-Madison 09:18-09:42 (24min)

› Learning Surrogates and Operator-to-Function Maps for Imaging Inverse Problems - Anuj Abhishek, Case Western Reserve University [Cleveland] 09:42-10:06 (24min)

› A nonlocal boundary value method for fractional parabolic equations - Thi-Phong Nguyen, New Jersey Institute of Technology 10:06-10:30 (24min)

8:30 - 10:30 (2h)

Experimental sciences and mathematical modeling

112

› Linear and nonlinear waves in microwave transmission lines - Stephen Sorokanich, Air Force Research Lab 08:30-08:54 (24min)

› Two-Dimensional foams and coagulation equations with particle emission - Joe Klobusicky, University of Scranton 08:54-09:18 (24min)

› Modeling to understand, predict, and control invasive spotted lanternfly populations - Daniel Stroembom, Lafayette College, Department of Biology 09:18-09:42 (24min)

› Capillary Rise Dynamics Through Fully and Partially Saturated Deformable Porous Material - Javed Siddique, JAVED I SIDDIQUE 09:42-10:06 (24min)

› Using Neural Networks and Persistence Homology to Predict Membrane Filter Throughput - Giovanni Nardone, New Jersey Institute of Technology 10:06-10:30 (24min)

8:30 - 10:30 (2h)

Advances in Numerical Linear Algebra and Applications

117

› Kernel Approximation Using the Proxy Point Method via Contour Integration - Mikhail Lepilov 08:30-08:54 (24min)

› Estimating High-Dimensional Covariance Matrices with Hierarchical Rank Structure - 08:54-09:18 (24min)

› A Unified Spectral Approach to Scalar, Linear Volterra Equations - David Darrow, Massachusetts Institute of Technology 09:18-09:42 (24min)

› Modified Lanczos recursions for discrete exterior PDE problems and other large-scale LTI systems with dense spectra - Vladimir Druskin, Worcester Polytechnic Institute, Southern Methodist University [Dallas, TX, USA] 09:42-10:06 (24min)

› Near-optimal Spectral Density Estimation via Explicit and Implicit Deﬂation - Rajarshi Bhattacharjee, University of Massachusetts Amherst 10:06-10:30 (24min)

8:30 - 10:30 (2h)

Recent Advances of Innovative Numerical Methods for Nonlinear PDEs

118

Session 3

› Recent progress in the analysis of the Poisson-Nernst-Planck system - Rolf Ryham, Fordham University [New York] 08:30-08:54 (24min)

› An integral equation method and an asymptotic analysis approach for erosion in porous media - Szu-Pei Fu, Farmingdale State College 08:54-09:18 (24min)

› Solver-in-the-Loop joint operator learning: fractional Laplace-Beltrami features for interface reconstruction - Shuhao Cao, University of Missouri System 09:18-09:42 (24min)

› Surface Navier-Stokes Without Inf-Sup Condition - Mansur Shakipov, University of Maryland [College Park] 09:42-10:06 (24min)

› A general framework to derive linear, decoupled and energy-stable schemes for reversible-irreversible thermodynamically consistent models - Jia Zhao, University of Alabama 10:06-10:30 (24min)

8:30 - 10:30 (2h)

Quantifying and Controlling Uncertainty in Complex Systems

121

Session 3

› Large Deviation Theory-Informed Importance Sampling for Rare Event Estimation and Control - Shanyin Tong, University of Pennsylvania 08:30-08:54 (24min)

› Extreme event estimation for stochastic differential equations via precise large deviation theory - Timo Schorlepp, Courant Institute of Mathematical Sciences [New York] 08:54-09:18 (24min)

› Randomized Algorithms for Optimal Experimental Design - Vishwas Hebbur Venkata Subba Rao, Argonne national laboratory 09:18-09:42 (24min)

› Kernel Density Estimation Adaptive Importance Sampling with Gaussian Processes for Rare-events Probability Estimation - Ashwin Renganathan, Penn State 09:42-10:06 (24min)

› Scaling Scenario-Based Chance-Constrained Optimization for Rare Events - Jaeseok Choi, Pennsylvania State University 10:06-10:30 (24min)

8:30 - 10:30 (2h)

Collective Behavior for Biologically Inspired and Social Systems

208

› Agent-Based Modeling of Collective Foraging and Movement in Bison Herds - Woods Jacob, Temple University [Philadelphia] 08:30-08:54 (24min)

› Neuromorphic Decision Making for Resource Constrained Robot Collectives - Himani Sinhmar, Princeton University 08:54-09:18 (24min)

› Structured heterogeneity leads to group-level selective sensitivity and robustness - Ian Xul Belaustegui, Department of Mechanical and Aerospace Engineering [Princeton] 09:18-09:42 (24min)

› Emergence of cooperative behavior in multi-agent models of thermal huddles - Nicole Zalewski, Temple University 09:42-10:06 (24min)

› Adaptive dynamics of reputation, gossip, and moral norms - Taylor Kessinger, University of Pennsylvania 10:06-10:30 (24min)

8:30 - 10:30 (2h)

Foundation Models: From Theory to Practice

209

Session 2

› Hierarchical Mamba Meets Hyperbolic Geometry: A New Paradigm for Structured Language Embeddings - Mengjia Xu, New Jersey Institute of Technology [Newark] 08:30-08:54 (24min)

› Robust Feature Selection for Trustworthy AI - Anton Xue, University of Texas at Austin [Austin] 08:54-09:18 (24min)

› Surya FM: A foundation model in heliophysics. - Spiridon Kasapis, Department of Astrophysical Sciences, Princeton University 09:18-09:42 (24min)

› In-Context Operator Learning on the Space of Probability Measures - Dixi Wang, Purdue University 09:42-10:06 (24min)

› Multimodal Foundation Model for Accelerating Numerical Simulation of Differential Equations via Error Correction - Jiaxin Yuan, University of Maryland, College Park 10:06-10:30 (24min)

8:30 - 10:30 (2h)

Contributed talks

218

Session 6

› Exact analysis of basis pursuit denoising via differential inclusions and a selection principle - Gabriel Provencher Langlois, New York University 08:30-08:54 (24min)

› Lattice Annotated Temporal (LAT) Logic for Non-Markovian Reasoning - Kaustuv Mukherji, Syracuse University 08:54-09:18 (24min)

› On Healthy, Sick, and Dead Equations of Systems of Linear Algebraic Equations - Isom Jurayev, Retired 09:18-09:42 (24min)

› Orthogonality Spaces over Finite Fields - Thang Nguyen, New Mexico State University 09:42-10:06 (24min)

› Synchronization of coupled oscillators on self-similar sets - Matthew Mizuhara, The College of New Jersey 10:06-10:30 (24min)

8:30 - 10:30 (2h)

Contributed talks

219

Session 7

› Inertial Particle Dynamics of Different Shapes in Fluid Flows - Takashi Yashiro, Montclair State University [USA] 08:30-08:54 (24min)

› The Rayleigh Collapse of Two Spherical Bubbles - Daniel Hobbs, Rochester Institute of Technology 08:54-09:18 (24min)

› Optimizing Peristaltic Pump Shapes for Particle Transport in Stokes Flow - Ruowen Liu, Rider University 09:18-09:42 (24min)

› Dynamics of Ocean Kinematic Properties - Denny Kirwan, University of Delaware 09:42-10:06 (24min)

› The Complexities of Discontinuous Attractor Trajectories: Explorations of Periodic Forcing of the Ocean Vorticity Equation - Helga Huntley, Rowan University 10:06-10:30 (24min)

8:30 - 10:30 (2h)

Advances in Modeling and Computation of Transport Problems

216

Session 2

› DATA COMPLETION FOR ELECTRICAL IMPEDANCE TOMOGRAPHY BY CONDITIONAL DIFFUSION MODELS - Ke Chen, University of Delaware 08:30-08:54 (24min)

› Fast Algorithms for A Linear Four-Field Thermo-Poroelastic Model - Mingchao Cai, Morgan State University 08:54-09:18 (24min)

› Binned Spectral Power Loss for Improved Prediction of Chaotic Systems - Dibyajyoti Chakraborty, Pennsylvania State University 09:18-09:42 (24min)

› Moment-enhanced shallow water equations for non-slip boundary conditions - Shiping Zhou, Michigan State University [East Lansing] 09:42-10:06 (24min)

› Data-driven Whitney forms for structure preserving models - Benjamin Shaffer, University of Pennsylvania 10:06-10:30 (24min)

Coffee break

Plenary Talk (Room 100): Jinchao Xu (KAUST & Penn State University)

Closing Remarks

	Fri. 31	Sat. 01	Sun. 02
08:00 09:00 10:00 11:00 12:00 13:00 14:00 15:00 16:00 17:00 18:00 19:00 20:00	Career Panel for Students and Junior Researchers (in McAllister Building) 17:00 - 20:00 (3h) Career Panel for Students and Junior Researchers (in McAllister Building) Career Paths in Industrial and Government Panel, together with Pizza and networking games. This panel will include mathematicians and scientists that will discuss career opportunities in industry and government.	Registration 8:00 - 8:30 (30min) Registration Opening Remarks & Plenary Talk (Room 100): George Karniadakis (Brown University) 8:30 - 9:30 (1h) Opening Remarks & Plenary Talk (Room 100): George Karniadakis (Brown University) Coffee break 9:30 - 10:00 (30min) Coffee break Minisymposium Sessions Theory, Computation, and Applications for Nonlocal Models Advances in the Mathematics of Infectious Diseases Recent Mathematical and Computational Modeling Advances in Life Sciences Recent Advances of Innovative Numerical Methods for Nonlinear PDEs Computational Thermodynamics: Energy and Energy Landscape Partial Differential Equations: Theory and Computations Quantifying and Controlling Uncertainty in Complex Systems Recent Advances in Scientific Machine Learning Arising from PDEs Recent Developments for Numerical Methods for PDEs Computational and Probabilistic Methods: From Theory to Practice Physics-Guided & Generative AI for Scientific Computing: Theory, Algorithms and Applications Optimal Transport in Biological Sciences Low-Rank Adaptation for Efficient Fine-Tuning in Foundation Models Nonlinear Waves in Fluids Recent advances in quantum machine learning Advances in Modeling and Computation of Transport Problems Scientific Machine Learning with Robust Computation Contributed talks Contributed talks Computational Dynamics 10:00 - 12:00 (2h) Minisymposium Sessions 10:00 - 12:00 (2h) Theory, Computation, and Applications for Nonlocal Models 111 Session 1 › Interacting particle dynamics for sampling in high dimensions - Dejan Slepcev, Carnegie Mellon University 10:00-10:24 (24min) › Compactness Results for a Nonlocal Dirichlet Energy and some applications - Tadele Mengesha, University of Tennessee 10:24-10:48 (24min) › Recent advances on asymptotically compatible schemes for nonlocal models - Xiaochuan Tian, Department of Mathematics [Univ California San Diego] 10:48-11:12 (24min) › Nonlocal models with local boundary conditions in semi-supervised learning - James M. Scott, Department of Mathematics and Statistics [Auburn] 11:12-11:36 (24min) › Data-Driven Particle Dynamics: A Structure-Preserving Method for Emergent Behavior in Nonequilibrium Systems - Max Win, School of Engineering and Applied Science, University of Pennsylvania 11:36-12:00 (24min) 10:00 - 12:00 (2h) Advances in the Mathematics of Infectious Diseases 112 › Exploring the Feedback Loop Between Behavior and Public Health - Alice Oveson, University System of Maryland 10:00-10:30 (30min) › Leveraging inter-species competition to improve the effectiveness of the sterile insect technique - Alex Safsten, University of Maryland [College Park] 10:24-10:48 (24min) › Mathematical assessment of the role of temperature variability on Lyme disease dynamics in Maryland - Salihu Musa, University of Maryland [College Park] 10:48-11:12 (24min) › Mathematical assessment of the roles of vaccination and Pap screening on the incidence of HPV and related cancers in the Republic of Korea - Soyoung Park, University of Maryland 11:12-11:36 (24min) › Mathematical modeling of the impact of age-targeted and dose-structured vaccination on malaria dynamics - Arnaja Mitra, University of Maryland 11:36-12:00 (24min) 10:00 - 12:00 (2h) Recent Mathematical and Computational Modeling Advances in Life Sciences 117 Session 1 › Modeling and nonlinear simulation of solid tumor growth - Shuwang Li, Department of Applied Mathematics 10:00-10:24 (24min) › Synchronized Optimal Transport - Yanxiang Zhao, George Washington University 10:24-10:48 (24min) › Evaluate the role of impulsive intervention on some network models - Yanyu Xiao, University of Cincinnati 10:48-11:12 (24min) › Convergence of the Regularised Immersed Boundary Method - Alexandre Milewski, Courant Institute of Mathematical Sciences [New York] 11:12-11:36 (24min) › Data-Driven Modeling of Amyloid-beta Targeted Antibodies for Alzheimer's Disease - Kobra Rabiei, Pennsylvania State University 11:36-12:00 (24min) 10:00 - 12:00 (2h) Recent Advances of Innovative Numerical Methods for Nonlinear PDEs 118 Session 1 › A Locally Conservative Proximal Galerkin Method for Pointwise Bound Constraints - Guosheng Fu, Guosheng Fu 10:00-10:24 (24min) › Inverse radiative transfer via goal-oriented adaptive mesh refinement - Shukai Du, Syracuse University 10:24-10:48 (24min) › Simulation of Cascade Gating in Ion Selectivity and Current Regulation - Pei Liu, Florida Institute of Technology 10:48-11:12 (24min) › Dynamically Regularized Lagrange Multiplier Method for the Incompressible Navier–Stokes Equations: Stability and Convergence - Cao-Kha Doan, Auburn University 11:12-11:36 (24min) › Energetic Variational Neural Network Discretizations of gradient flows - Yiwei Wang, University of California [Riverside] 11:36-12:00 (24min) 10:00 - 12:00 (2h) Computational Thermodynamics: Energy and Energy Landscape 119 Session 1 › Entropy as Information: A unified, trajectory-driven route - Qijun Hong, Arizona State University [Tempe] 10:00-10:24 (24min) › Configurational entropy in solid and liquid silicon - Talid Sinno, University of Pennsylvania 10:24-10:48 (24min) › Zentropy - Zi-Kui Liu, Department of Materials Science and Engineering, The Pennsylvania State University 10:48-11:12 (24min) › Energy Landscapes of Electron Hopping in Conductive Polymers: From Single-Chain Dynamics to Device Functionality - Ziyun Miao, Johns Hopkins University 11:12-11:36 (24min) › ZENN: A Thermodynamics-Inspired Computational Framework for Heterogeneous Data-Driven Modeling - Shun Wang, Department of Mathematics, Penn state University 11:36-12:00 (24min) 10:00 - 12:00 (2h) Partial Differential Equations: Theory and Computations 120 Session 1 › Operator Splitting Method for Gradient Flows of Harmonic Maps - Lucas Bouck, Carnegie Mellon University 10:00-10:24 (24min) › Spline-Based Solution Transfer with Potential Applications for Space-Time Methods - Logan Larose, Penn State University 10:24-10:48 (24min) › Error estimates for the interpolation and approximation of gradients and vector fields on protected Delaunay meshes in R^d - David Williams, Pennsylvania State University 10:48-11:12 (24min) › Fully discrete error analysis of finite element discretizations of time-dependent Stokes equations in a stream-function formulation - Dmitriy Leykekhman 11:12-11:36 (24min) 10:00 - 12:00 (2h) Quantifying and Controlling Uncertainty in Complex Systems 121 Session 1 › A Scalable and Extensible Importance Sampling Based Framework for Safety-critical Systems Evaluation - Kostas G. Papakonstantinou, Pennsylvania State University 10:00-10:24 (24min) › Computing Rare Bifurcations in Dynamical Systems - Anirudh Subramanyam, Pennsylvania State University 10:24-10:48 (24min) › Reduced-order moment closure models for uncertainty quantification of multiscale complex systems - Di Qi, Department of mathematics Purdue University 10:48-11:12 (24min) › Conformalized Decision Risk Assessment - Woody Zhu, Carnegie Mellon University [Pittsburgh] 11:12-11:36 (24min) › A Class of Interpretable and Decomposable Multi-period Convex Risk Measures - Luhao Zhang, Johns Hopkins University 11:36-12:00 (24min) 10:00 - 12:00 (2h) Recent Advances in Scientific Machine Learning Arising from PDEs 122 Session 1 › Algebraically Precondition a Linear System With Graph Neural Networks - Jie Chen, IBM Research 10:00-10:24 (24min) › Data-driven discovery of conservation laws, Lax pairs, and system integrability - Wei Zhu, School of Mathematics - Georgia Institute of Technology 10:24-10:48 (24min) › Adaptive sampling and transfer learning for PDE models - Andreas Aristotelous, University of Akron 10:48-11:12 (24min) › Multiscale Neural Networks for Approximating Green's Functions - Yahong Yang, School of Mathematics - Georgia Institute of Technology 11:12-11:36 (24min) › SSBE-PINN: A Sobolev Boundary Scheme Boosting Stability and Accuracy in Elliptic/Parabolic PDE Learning - Chuqi CHEN, the Hong Kong University of Science and Technology 11:36-12:00 (24min) 10:00 - 12:00 (2h) Recent Developments for Numerical Methods for PDEs 124 Session 1 › Subspace correction methods for semicoercive and nearly semicoercive convex variational problems - Jongho Park, King Abdullah University of Science and Technology [Saudi Arabia] 10:00-10:24 (24min) › Multiple Solutions of Nonlinear Differential Equations - Sun Lee, The Pennsylvania State University 10:24-10:48 (24min) › Greedy algorithm based on localized RBFs for solution of fractional convection-diffusion-reaction equation - Reza Mollapourasl, Farmingdale State College - Majid Haghi, Farhangian University 10:48-11:12 (24min) › Abstract Spectral Approximation Theories and Finite Element Methods for PDE Eigenvalue Problems - Jiguang Sun, Michigan Technological Univeristy 11:12-11:36 (24min) 10:00 - 12:00 (2h) Computational and Probabilistic Methods: From Theory to Practice 125 Session 1 › A criterion for crystallization in hard-core lattice particle systems - Ian Jauslin, Rutgers University 10:00-10:24 (24min) › Hydrodynamic limits for interacting particles with two spatial scales - Daniel Chen, Brown University 10:24-10:48 (24min) › Antithetic Noise in Diffusion Models - Guanyang Wang, Rutgers University 10:48-11:12 (24min) › Random weights of DNNs and emergence of fixed points - Oleksii Krupchytskyi, Pennsylvania State University 11:12-11:36 (24min) › Cutoff for the Swendsen-Wang dynamics on the complete graph - Blanca Antonio, Pennsylvania State University 11:36-12:00 (24min) 10:00 - 12:00 (2h) Physics-Guided & Generative AI for Scientific Computing: Theory, Algorithms and Applications 207 Session 1 › Unsupervised Neural Operators for Optimal Control: Scaling Laws and Applications - Wuzhe Xu, Purdue University 10:24-10:48 (24min) › Learning Hyperbolic Conservation Laws from Data - Lizuo Liu, Dartmouth College 10:48-11:12 (24min) › From Equations to Insights: Unraveling Symbolic Structures in PDEs with LLMs - Ling Liang, The University of Tennessee [Knoxville] 11:12-11:36 (24min) › Variationally stable reduced basis neural operator - Yuan Qiu, Georgia Institute of Technology [Atlanta] 11:36-12:00 (24min) 10:00 - 12:00 (2h) Optimal Transport in Biological Sciences 208 Session 1 › Optimal transport reveals dynamic gene regulatory networks via gene velocity estimation - Ritambhara Singh, Department of Computer Science 10:00-10:24 (24min) › Optimal Transport based metrics and statistics for quantifying cell shape heterogeneity - Wenjun Zhao, Wake Forest University 10:24-10:48 (24min) › Efficient Trajectory Inference in Wasserstein Space Using Consecutive Averaging - Amartya Banerjee, University of North Carolina at Chapel Hill 10:48-11:12 (24min) › Generative Particle Flows with Force-Matching for Reconstructing Nonlinear Cellular Dynamics - Hyemin Gu, University of Massachusetts [Amherst] 11:12-11:36 (24min) › Synchronized Optimal Transport for Trajectory Inference in Biological Systems - Jingfeng Wang, North Carolina State University 11:36-12:00 (24min) 10:00 - 12:00 (2h) Low-Rank Adaptation for Efficient Fine-Tuning in Foundation Models 209 › Bridging Model Heterogeneity via LoRA-Based Knowledge Distillation in Federated Learning - Yujia Wang, Pennsylvania State University 10:00-10:24 (24min) › Non-Convex Tensor Recovery from Tube-Wise Sensing - Tongle Wu, Department of Electrical Engineering, The Pennsylvania State University. 10:24-10:48 (24min) › Federated Fine-tuning of Large Language Models under Heterogeneous Tasks and Client Resources - Jiamu Bai, Pennsylvania State University 10:48-11:12 (24min) › FLoRA: Federated Fine-Tuning Foundation Models with Heterogeneous Low-Rank Adaptations - Ziyao Wang, University of Maryland [College Park] 11:12-11:36 (24min) › PrunedLoRA: Efficient and Robust Gradient-Based Structural Pruning for Low-rank Adaptation in Fine-tuning - Xin Yu, Xin Yu 11:36-12:00 (24min) 10:00 - 12:00 (2h) Nonlinear Waves in Fluids 210 Session 1 › Exact solution and integrability of ballistic motion of fluid with free surface - Pavel Lushnikov, University of New Mexico 10:00-10:24 (24min) › Instabilities of steep Stokes waves - Sergey Dyachenko, State University of New York at Buffalo 10:24-10:48 (24min) › Well-posedness and stability of the Benjamin-Ono equation with quasiperiodic initial data - Sultan Aitzhan, Drexel University 10:48-11:12 (24min) › Riemann problems, rarefaction waves, dispersive shocks and soliton refraction in the stationary Kadomtsev-Petviashvili and good Boussinesq equations - Lin Haodong, State University of New York at Buffalo 11:12-11:36 (24min) › Recent progress on soliton gases in two spatial dimensions - Gino Biondini, State University of New York [Buffalo] 11:36-12:00 (24min) 10:00 - 12:00 (2h) Recent advances in quantum machine learning 215 Session 1 › Derivative-Free Quasi-Newton Optimization for Variational Quantum Algorithms - Dongwei Shi, Lehigh University [Bethlehem] 10:00-10:24 (24min) › Operator-Level Quantum Acceleration of Non-Logconcave Sampling - Jiaqi Leng, University of California [Berkeley] 10:24-10:48 (24min) › Recent Progress in Quantum Eigenvalue Problems - Ruizhe Zhang, Department of Computer Science [Purdue] 10:48-11:12 (24min) › On the practical boundary of quantum computing advantages - Junyu Liu, University of Pittsburgh 11:12-11:36 (24min) › Critical Perspectives on Quantum Computing for Power System Computational Problems - Masoud Barati, University of Pittsburgh 11:36-12:00 (24min) 10:00 - 12:00 (2h) Advances in Modeling and Computation of Transport Problems 216 Session 1 › Reduced Basis Methods for Parametric Steady-State Radiative Transfer Equation - Fengyan Li, Rensselaer Polytechnic Institute 10:00-10:24 (24min) › A Nodal Discontinuous Galerkin Method with Low-Rank Velocity Space Representation for the Multi-Scale BGK Model - Joseph Nakao, Swarthmore College 10:24-10:48 (24min) › A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation - Ziyao Xu, Binghamton University 10:48-11:12 (24min) › Adaptive-Rank Methods for the Multi-Scale BGK Equation via Greedy Sampling - William Sands, University of Delaware 11:12-11:36 (24min) › Invariant Measures for Data-Driven Dynamical System Identification - Jonah Botvinick-Greenhouse, Cornell University 11:36-12:00 (24min) 10:00 - 12:00 (2h) Scientific Machine Learning with Robust Computation 217 Session 1 › An efficient algorithm for computing the stationary statistical solution of some geophysical fluid systems - Daozhi Han, SUNY at Buffalo 10:00-10:24 (24min) › Uncertainty in Uncertainty and Rockafellian Relaxation - Sean Carney, Union College 10:24-10:48 (24min) › Scientific machine learning for blood glucose regulation in type 1 diabetes - Yixiang Deng, Brown University, University of Delaware 10:48-11:12 (24min) › A numerical method for PDEs via stochastic particle trajectories - Jihun Han, University at Albany [SUNY] 11:12-11:36 (24min) 10:00 - 12:00 (2h) Contributed talks 218 Session 1 › A Modified Hermite Radial Basis Function for Accurate Interpolation - Amirhossein Fashamiha, University at Buffalo [SUNY] 10:00-10:24 (24min) › Cryo-EM images are intrinsically low-dimensional - Luke Evans, Center for Computational Mathematics, Flatiron Institute 10:24-10:48 (24min) › Dense binary images have large connected components - Kyle Fridberg, Center for Applied Mathematics [Ithaca] 10:48-11:12 (24min) › HV Metric For Time-Domain Full Waveform Inversion - Matej Neumann, Department of Mathematics [Cornell] 11:12-11:36 (24min) › Image Registration and Direct Inversion in the Ultrasound Elasticity Imaging Field - Rebecca Rodrigues, Rochester Institute of Technology 11:36-12:00 (24min) 10:00 - 12:00 (2h) Contributed talks 219 Session 2 › An Explicit Description of Implementation of 4D, H(div)-conforming Simplicial Finite Elements in MFEM - Saber Patrick, Pennsylvania State University 10:00-10:24 (24min) › Complete and Final Solution to the Problem of Rounding Errors and Their Accumulation in Python - Isom Jurayev, Retired 10:24-10:48 (24min) › Polynomial Extrapolation for Error Mitigation in Quantum Simulation - Pegah Mohammadipour, Pennsylvania State University 10:48-11:12 (24min) › The many faces of stiffness: How a Runge-Kutta method can exhibit multiple convergence orders at the same time - Benjamin Seibold, Temple University [Philadelphia] 11:12-11:36 (24min) 10:00 - 12:00 (2h) Computational Dynamics 110 › MSE Culpa - Why the mean-squared-error is not enough for machine learning of chaotic dynamical systems - Romit Maulik, Pennsylvania State University 10:00-10:24 (24min) › Modal Analysis of Quasi-Periodic Systems via Multi-variate Gaussian Process Regression - Jiwoo Song, The Pennsylvania State University 10:24-10:48 (24min) › Koopman Eigenfunctions, Synchronization, and Arnold Tongues for Coupled Stochastic Oscillators - Maxwell Kreider, Pennsylvania State University 10:48-11:12 (24min) › Geometric local parameterization for solving Hele-Shaw problems with surface tension - Zengyan Zhang, Pennsylvania State University 11:12-11:36 (24min) › A Fully Implicit Hybrid Method for Kinetic Equations: Efficient Time Integration via Coarse-Fine Velocity Grid Coupling - Evan Habbershaw, Pennsylvania State University 11:36-12:00 (24min) Lunch (Dining Hall) Poster Session 12:00 - 13:30 (1h30) Lunch (Dining Hall) 12:00 - 13:30 (1h30) Poster Session Plenary Talk (Room 100): Abba Gumel (University of Maryland) 13:30 - 14:30 (1h) Plenary Talk (Room 100): Abba Gumel (University of Maryland) Minisymposium Sessions Recent Advances in Numerical Scheme-Inspired Data-driven Methods Scientific Machine Learning for Dynamical Systems and Inverse Problems Recent Developments in Applied Inverse Problems and Imaging Theory, Computation, and Applications for Nonlocal Models Mathematical modelling for infectious diseases and interventions AI for Math Recent Mathematical and Computational Modeling Advances in Life Sciences Recent Advances of Innovative Numerical Methods for Nonlinear PDEs Computational Thermodynamics: Energy and Energy Landscape Partial Differential Equations: Theory and Computations Quantifying and Controlling Uncertainty in Complex Systems Recent Advances in Scientific Machine Learning Arising from PDEs Recent Developments for Numerical Methods for PDEs Computational and Probabilistic Methods: From Theory to Practice Physics-Guided & Generative AI for Scientific Computing: Theory, Algorithms and Applications Optimal Transport in Biological Sciences Foundation Models: From Theory to Practice Nonlinear Waves in Fluids Recent advances in quantum machine learning Scientific Machine Learning with Robust Computation Contributed talks Contributed talks New Algorithms and Theory for Reinforcement Learning 14:30 - 16:30 (2h) Minisymposium Sessions 14:30 - 16:30 (2h) Recent Advances in Numerical Scheme-Inspired Data-driven Methods 216 › Convergence and Performance of Finite-Difference-Based Methods for Noisy Black-Box Optimization - Dat Tran, Rowan University 14:30-14:54 (24min) › Neural Networks with Trainable Matrix Activation Functions - Zhengqi Liu 14:54-15:18 (24min) › The Measure Theoretic Koopman Operator - Maria Oprea, Cornell University 15:18-15:42 (24min) › Fine-tuning Spatiotemporal Operator Learning for Turbulent Flows - Shuhao Cao, University of Missouri System 15:42-16:06 (24min) 14:30 - 16:30 (2h) Scientific Machine Learning for Dynamical Systems and Inverse Problems 220 › Physics-scaling informed data-driven turbulent inflow generation - Xiang Yang, Pennsylvania State University 14:30-14:54 (24min) › Bayesian Inversion for Elliptic PDEs on unknown manifolds - John Harlim, The Pennsylvania State University 14:54-15:18 (24min) › Multimodal Atmospheric Super-Resolution With Deep Generative Models - Haiwen Guan, The Pennsylvania State University 15:18-15:42 (24min) › Hyperbolic machine learning moment closures for kinetic equations - Juntao Huang, Department of Mathematical Sciences 15:42-16:06 (24min) › Parametrizing Contact Diffeomorphisms - George Kevrekidis, Johns Hopkins University 16:06-16:30 (24min) 14:30 - 16:30 (2h) Recent Developments in Applied Inverse Problems and Imaging 110 Session 1 › Extending Qualitative Methods to Biharmonic Scattering - Isaac Harris, Purdue University 14:30-14:54 (24min) › All-at-once alternating minimization method for an inverse medium scattering problem - Thanh Nguyen 14:54-15:18 (24min) › Identifying defective units in infinite periodic arrays of sources - Nhung Nguyen, Kansas State University 15:18-15:42 (24min) › Statistical Inversion using Deep Network and Level Set Methods for Diffuse Optical Imaging - Taufiquar Khan, University of North Carolina at Charlotte 15:42-16:06 (24min) › Inside-out duality for scattering poles - Jiguang Sun, Michigan Technological Univeristy 16:06-16:30 (24min) 14:30 - 16:30 (2h) Theory, Computation, and Applications for Nonlocal Models 111 Session 2 › Interplay between Inertia and Viscous Stress in Continuum Defect Dynamics - Kaushik Dayal, Carnegie Mellon University [Pittsburgh] 14:30-14:54 (24min) › Nonlocal Models for Traffic Flow - Wen Shen, Pennsylvania State University 14:54-15:18 (24min) › Seamless multiphysics coupling with peridynamics enabled by nodal finite element approximation - Prashant K. Jha, South Dakota School of Mines and Technology 15:18-15:42 (24min) › Nonlinear Fractional Modeling of Viscoelasticity in Biotissues - Ziwei Yang, Lehigh University [Bethlehem] 15:42-16:06 (24min) › Monotone Nonlocal Neural Operator for Material Modeling with Conditionally Unique Solutions - Yue Yu, Lehigh University 16:06-16:30 (24min) 14:30 - 16:30 (2h) Mathematical modelling for infectious diseases and interventions 112 › A General Analytic Approach to Predicting the Best Antibiotic Dosing Regimen - Leah Childers, Pennsylvania State University 14:30-14:54 (24min) › Inference of asymptomatic carriers of antimicrobial-resistant organisms in healthcare settings using multimodal observations - Sen Pei, Columbia University 14:54-15:18 (24min) › Multiple Rational Behaviors in a Cholera Intervention Game - Connor Olson, Pennsylvania State University 15:18-15:42 (24min) › Modeling PrEP-on-demand strategies to prevent HIV transmission - Jessica Conway, Pennsylvania State University 15:42-16:06 (24min) › Stochastic Models of Viral Replication Dynamics: Extinction of Virus and Host - Rahnuma Islam, University of Pittsburgh, University of Pittsburgh 16:06-16:30 (24min) 14:30 - 16:30 (2h) AI for Math 113 › Can Large Language Models Adequately Perform Symbolic Reasoning Over Time Series? - Zewen Liu, Emory University 14:30-14:54 (24min) › Derivation of physical equations for high-speed laser welding using large language models - Zhengxiao Yu, Pennsylvania State University 14:54-15:18 (24min) › FoVer: Training Step-Level Reasoning Verifiers with Formal Verification Tools - Ryo Kamoi, Pennsylvania State University 15:18-15:42 (24min) › The Quest for Open-Source Olympiad AI - Hamed Mahdavi, Pennsylvania State University 15:42-16:06 (24min) 14:30 - 16:30 (2h) Recent Mathematical and Computational Modeling Advances in Life Sciences 117 Session 2 › Virtual Cohorts for Within‑Host Cholera and Immune Dynamics - Harsh Jain, Department of Mathematical Sciences, University of Minnesota [Duluth] 14:30-14:54 (24min) › Modeling treatment of osteoarthritis with standard therapy and senolytic drugs - Nourridine Siewe, Rochester Institute of Technology 14:54-15:18 (24min) › Toward Governing Equations for Agent-Based SIR Models: Calibrating Time-Varying Transmission - Erick Anderson, University of Minnesota [Duluth] 15:18-15:42 (24min) › A Systematic Computational Framework for Practical Identifiability Analysis - Shun Wang, Department of Mathematics, Penn state University 15:42-16:06 (24min) › Who's In and Who's Out: Leveraging Homogeneous Preclinical Data to Extrapolate Tumor Growth Outcomes Across Heterogeneous Populations - Chloe George 16:06-16:30 (24min) 14:30 - 16:30 (2h) Recent Advances of Innovative Numerical Methods for Nonlinear PDEs 118 Session 2 › An Efficient, Decoupled, and Linearly Stabilized Scheme for Phase-Field Models with Variable Mobility - Zhiwei Zhang, Department of Applied Mathematics, Illinois Institute of Technology 14:30-14:54 (24min) › Analysis and Computation of a Generalized Ohta-Kawasaki Model - Yanxiang Zhao, George Washington University 14:54-15:18 (24min) › Stability and Time-Step Constraints of Exponential Time Differencing Runge–Kutta Discontinuous Galerkin Methods for Advection-Diffusion Equations - Ziyao Xu, Binghamton University 15:18-15:42 (24min) › Efficient optimization-based invariant-domain-preserving limiter for high-order discontinuous Galerkin methods of solving compressible Euler equations - Chen Liu, University of Arkansas [Fayetteville] 15:42-16:06 (24min) › Structure-preserving reduced order models for thermodynamically consistent reversible-irreversible PDEs - Zengyan Zhang, The Pennsylvania State University 16:06-16:30 (24min) 14:30 - 16:30 (2h) Computational Thermodynamics: Energy and Energy Landscape 119 Session 2 › Melting of planetary materials determined by machine learning potentials - Jie Deng, Department of Geosciences [Princeton] 14:30-14:54 (24min) › Designing selective cell targeting with multivalent interactions - Tine Curk, Johns Hopkins University 14:54-15:18 (24min) › Zentropy and the Recursive Property of Entropy for the Calculation of Free Energy Landscapes - Luke Myers, Pennsylvania State University 15:18-15:42 (24min) › Thermoelasticity and the free energy landscape of H-bond disorder and symmetrization: atomistic simulations of δ-AlOOH at high pressure - Chenxing Luo, Columbia University, Department of Geosciences [Princeton] 15:42-16:06 (24min) › Ab-initio CALPHAD modeling of NaNH2BH3 for solid-state H2 storage applications - Ricardo Amaral, Department of Energy and Mineral Engineering, The Pennsylvania State University 16:06-16:30 (24min) 14:30 - 16:30 (2h) Partial Differential Equations: Theory and Computations 120 Session 2 › Lᵖ-based theory for PDEs on closed manifolds of minimal regularity: A novel and elementary approach - Gonzalo Benavides, University of Maryland [College Park] 14:30-14:54 (24min) › Surface Stokes Without Inf-Sup Condition - Mansur Shakipov, University of Maryland [College Park] 14:54-15:18 (24min) › A priori error analysis of the proximal Galerkin method for variational problems with inequality constraints - Masri Rami, Brown University 15:18-15:42 (24min) › FINITE ELEMENT APPROXIMATION TO LINEAR, SECOND ORDER, PARABOLIC EQUATIONS WITH L1 DATA - Abner Salgado, University of Tennessee System 15:42-16:06 (24min) › Quasi-neutral limit and the mixer layer problem of Planck-Nernst-Poisson-Navier-Stokes equations for electro-hydrodynamics - Shu Wang, Beijing University of Technology 16:06-16:30 (24min) 14:30 - 16:30 (2h) Quantifying and Controlling Uncertainty in Complex Systems 121 Session 2 › How to build a consistency model: Learning flow maps via self-distillation - Boffi Nicholas, Machine Learning Department [Carnegie Mellon Univ.] 14:30-14:54 (24min) › On Over-Parametrized Models and Sobolev Training - Li Matthew, University of Massachusetts [Amherst] 14:54-15:18 (24min) › Hyperparameter optimization for Gaussian process methods - Nicholas Nelsen, Department of Mathematics [Cornell] 15:18-15:42 (24min) › Bridging the Model Hierarchy: A Physics-Guided Machine Learning Framework for High-Resolution Climate Simulation Enhancement - Pouria Behnoudfar, University of Wisconsin Madison 15:42-16:06 (24min) › Spectral Regularized Kernel Two-Sample Tests - Omar Hagrass, Princeton university, department of operations research and financial engineering 16:06-16:30 (24min) 14:30 - 16:30 (2h) Recent Advances in Scientific Machine Learning Arising from PDEs 122 Session 2 › Neural Approximate Inverse Preconditioners - Yuanzhe Xi, Emory University [Atlanta, GA] 14:30-14:54 (24min) › A Natural Deep Ritz Method for Essential Boundary Value Problems - Shuo Zhang, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, University of Chinese Academy of Sciences 14:54-15:18 (24min) › Computing ground states of Bose-Einstein condensation by normalized deep neural network - Zhipeng Chang, Pennsylvania State University 15:18-15:42 (24min) › Randomized Greedy Algorithms for Neural Network Optimization in Solving PDEs - Xiaofeng Xu, Pennsylvania State University 15:42-16:06 (24min) › Randomized subspace correction methods for convex optimization - Jongho Park, King Abdullah University of Science and Technology [Saudi Arabia] 16:06-16:30 (24min) 14:30 - 16:30 (2h) Recent Developments for Numerical Methods for PDEs 124 Session 2 › Structure-preserving Discretization of the Poisson-Nernst-Planck Equations via the Onsager Principle - Hailiang Liu, Iowa State University 14:30-14:54 (24min) › Discretization analysis for a convection-diffusion problem - Constantin Bacuta, Constantin Bacuta 14:54-15:18 (24min) › Numerical Approximation for Equations with Line Dirac Sources - Hengguang Li, Wayne State University 15:18-15:42 (24min) › Hierarchical Preconditioning for Stochastic Optimal Control Problems - Zhendong Li, Lehigh University - Bedřich Sousedík, University of Maryland [Baltimore County] - Akwum Onwunta, Lehigh University 16:06-16:30 (24min) 14:30 - 16:30 (2h) Computational and Probabilistic Methods: From Theory to Practice 125 Session 2 › Spin system dynamics beyond worst-case initialization - Gheissari Reza, Northwestern University [Evanston] 14:30-14:54 (24min) › Facilitating Efficiency of Deep Neural Networks using Marchenko-Pastur Distribution - Mariia Kiyashko, Pennsylvania State University 14:54-15:18 (24min) › Percolation and Criticality in Hyperuniform Networks - Yongyi Wang, Pennsylvania State University 15:18-15:42 (24min) › Markov chain resetting: a general view - Yuri Suhov, Penn State 15:42-16:06 (24min) 14:30 - 16:30 (2h) Physics-Guided & Generative AI for Scientific Computing: Theory, Algorithms and Applications 207 Session 2 › Error Analysis of Operator Learning on the Space of Probability Measures - Frank Cole, University of Minnesota [Twin Cities] 14:30-14:54 (24min) › Constrained Policy Optimization for Large Language Model Alignment - Dongsheng Ding, The University of Tennessee [Knoxville] 14:54-15:18 (24min) › On exploration of an interior mirror descent flow for stochastic nonconvex constrained problem - Kuangyu Ding, School of Industrial Engineering, Purdue University 15:18-15:42 (24min) › LoDAdaC: a unified local training-based decentralized framework with Adam-type updates and compressed communication - Yangyang Xu, Rensselaer Polytechnic Institute 15:42-16:06 (24min) 14:30 - 16:30 (2h) Optimal Transport in Biological Sciences 208 Session 2 › Cryo-EM as a Stochastic Inverse Problem - Diego Balam Sanchez Espinosa, Cornell University [Ithaca] 14:30-14:48 (18min) › Robust Molecular Structure Comparison via Optimal Transport - Xiaoqi Wei, North Carolina State University [Raleigh] 14:54-15:18 (24min) › Machine-Learning Interatomic Potentials for Long-Range Systems - Yajie Ji, Yale University 15:18-15:42 (24min) › Optimal Transport Modeling of Cellular Differentiation: From Low-Rank Structure to Temporal Dynamics - Peter Halmos, Computer Science Department [Princeton] 15:42-16:06 (24min) 14:30 - 16:30 (2h) Foundation Models: From Theory to Practice 209 Session 1 › Towards Interpretable Time Series Foundation Models - Tengfei Ma, Stony Brook University 14:30-14:54 (24min) › Sparse and Low-Dimensional Structures in Deep Networks - Akshay Rangamani, New Jersey Institute of Technology [Newark] 14:54-15:18 (24min) › A Foundation Model Approach for Learning Causal Graphs - Naiyu Yin, Lehigh University 15:18-15:42 (24min) › PDE Foundation Model: Generalization, Learning to Learn and more - Jingmin Sun, Johns Hopkins University 15:42-16:06 (24min) › Toward Universal Foundation Model for Neuroimaging - Huang Haoxu, New York University 16:06-16:30 (24min) 14:30 - 16:30 (2h) Nonlinear Waves in Fluids 210 Session 2 › Stokes Waves and Their New Secondary Bifurcations - Anastassiya Semenova, Rochester Institute of Technology 14:30-14:54 (24min) › Breather interactions in the discrete Manakov system - Nicholas Ossi, State University of New York at Buffalo 14:54-15:18 (24min) › Generalized Constantin-Lax-Majda Equation with Dissipation - Denis Silantyev, University of Colorado [Colorado Springs] 15:18-15:42 (24min) 14:30 - 16:30 (2h) Recent advances in quantum machine learning 215 Session 2 › Quantum DeepONet: Neural operators accelerated by quantum computing - Pengpeng Xiao, Yale University [New Haven] 14:30-14:54 (24min) › Quantum Machine Learning Applications in High Energy Physics and Beyond - Konstantin Matchev, University of Alabama [Tuscaloosa] 14:54-15:18 (24min) › Quantum-Assisted Machine Learning for Physics AI and Surrogate Modeling - Alex Khan, BQP 15:18-15:42 (24min) › Quantum-Inspired Hamiltonian Descent for LLM Sparsification - Yuxiang Peng, Department of Computer Science [Purdue] 15:42-16:06 (24min) › PolarGrad: A Class of Matrix-Gradient Optimizers from a Unifying Preconditioning Perspective - Weijie Su, University of Pennsylvania 16:06-16:30 (24min) 14:30 - 16:30 (2h) Scientific Machine Learning with Robust Computation 217 Session 2 › Data-Driven Modeling with the Koopman Operator - Andrew Horning, Rensselaer Polytechnic Institute 14:30-14:54 (24min) › Data Uniformity Improves Training Efficiency and More, with a Convergence Framework Beyond the NTK Regime - Yuqing Wang, Johns Hopkins University 14:54-15:18 (24min) › Neural Correction Operator: solving EIT with operator learning and conditional diffusion model - Ke Chen, University of Delaware 15:18-15:42 (24min) 14:30 - 16:30 (2h) Contributed talks 218 Session 3 › Modeling Regulatory Crosstalk among Cellular Pathways in Colorectal Cancer - Pascal Kingsley Kataboh, Swarthmore College 14:54-15:18 (24min) › Persistence of Lotka-Volterra Food Chains Using an Averaged Rate Model - Sepideh Vafaie, Montclair State University [USA] 15:18-15:42 (24min) › Quantification of the Economic and Environmental Value of a Green Hydrogen Energy Market in the United States - Ashira Mawji, Cornell University 15:42-16:06 (24min) › Estimation of Degradation rate in Biological cells - Lan Trinh, Department of Mathematics [Tulane, New Orleans] 16:06-16:30 (24min) 14:30 - 16:30 (2h) Contributed talks 219 Session 4 › Asymptotic Expansion of the Iterated Solution in the Case of Multiple Scattering Configurations - Souaad Lazergui, New Jersey Institute of Technology [Newark] 14:30-14:54 (24min) › Modeling and Simulation of the Cholesteric Landau–de Gennes model - Andrew Hicks, Carnegie Mellon University [Pittsburgh] 14:54-15:18 (24min) › The Phase Space of the Three-Vortex Problem and Its Application to Vortex-Dipole Scattering - Roy Goodman, New Jersey Institute of Technology 15:18-15:42 (24min) 14:30 - 16:30 (2h) New Algorithms and Theory for Reinforcement Learning 222 › Explainable reinforcement learning from human feedback to improve language model alignment - Shicheng Liu, Pennsylvania State University 14:30-14:54 (24min) › Data-Driven Knowledge Transfer in Batch Q* Learning - Wenbo Jing, New York University 14:54-15:18 (24min) › Federated Online Reinforcement Learning - Zhong Zheng, University of Pennsylvania 15:18-15:42 (24min) › Robust Decision Making Without Compromising Learning Efficiency - Laixi Shi, Department of Electrical and Computer Engineering [Johns Hopkins University] 15:42-16:06 (24min) › Gap-Dependent Analysis for Online Q-Learning - Haochen Zhang, Pennsylvania State University 16:06-16:30 (24min) Coffee break 16:30 - 17:00 (30min) Coffee break Plenary Talk (Room 100): Noel Walkington (Carnegie Mellon University) 17:00 - 18:00 (1h) Plenary Talk (Room 100): Noel Walkington (Carnegie Mellon University) Banquet and Business Meeting 18:30 - 20:00 (1h30) Banquet and Business Meeting at Nittany Lion INN Ballroom ABC	Registration 8:00 - 8:30 (30min) Registration Minisymposium Sessions Recent Developments in Applied Inverse Problems and Imaging Experimental sciences and mathematical modeling Multiscale Techniques in Scientific Machine Learning Advances in Numerical Linear Algebra and Applications Recent Advances of Innovative Numerical Methods for Nonlinear PDEs Computational Thermodynamics: Energy and Energy Landscape Partial Differential Equations: Theory and Computations Quantifying and Controlling Uncertainty in Complex Systems Recent Advances in Scientific Machine Learning Arising from PDEs Recent Developments for Numerical Methods for PDEs Computational and Probabilistic Methods: From Theory to Practice Physics-Guided & Generative AI for Scientific Computing: Theory, Algorithms and Applications Collective Behavior for Biologically Inspired and Social Systems Foundation Models: From Theory to Practice Recent advances in low-rank methods and their applications Contributed talks Contributed talks Contributed talks Advances in Modeling and Computation of Transport Problems 8:30 - 10:30 (2h) Minisymposium Sessions 8:30 - 10:30 (2h) Recent Developments in Applied Inverse Problems and Imaging 110 Session 2 › Integral equations for linear flexural-gravity waves - Hoskins Jeremy, University of Chicago 08:30-08:54 (24min) › Super-resolution Imaging in Disordered Media - Alexei Novikov, Penn State 08:54-09:18 (24min) › A fast reconstruction method for radiating sources in Maxwell's equations - Le Thu, University of Wisconsin-Madison 09:18-09:42 (24min) › Learning Surrogates and Operator-to-Function Maps for Imaging Inverse Problems - Anuj Abhishek, Case Western Reserve University [Cleveland] 09:42-10:06 (24min) › A nonlocal boundary value method for fractional parabolic equations - Thi-Phong Nguyen, New Jersey Institute of Technology 10:06-10:30 (24min) 8:30 - 10:30 (2h) Experimental sciences and mathematical modeling 112 › Linear and nonlinear waves in microwave transmission lines - Stephen Sorokanich, Air Force Research Lab 08:30-08:54 (24min) › Two-Dimensional foams and coagulation equations with particle emission - Joe Klobusicky, University of Scranton 08:54-09:18 (24min) › Modeling to understand, predict, and control invasive spotted lanternfly populations - Daniel Stroembom, Lafayette College, Department of Biology 09:18-09:42 (24min) › Capillary Rise Dynamics Through Fully and Partially Saturated Deformable Porous Material - Javed Siddique, JAVED I SIDDIQUE 09:42-10:06 (24min) › Using Neural Networks and Persistence Homology to Predict Membrane Filter Throughput - Giovanni Nardone, New Jersey Institute of Technology 10:06-10:30 (24min) 8:30 - 10:30 (2h) Multiscale Techniques in Scientific Machine Learning 113 › Hybrid Iterative Solvers with Geometry-Aware Neural Preconditioners for Parametric PDEs - Youngkyu Lee, Brown University 08:30-08:54 (24min) › Deep Neural Networks with General Activations: Super-Convergence in Sobolev Norms - Yahong Yang, School of Mathematics - Georgia Institute of Technology 08:54-09:18 (24min) › Integral Representations of Sobolev Spaces via ReLU^k Activation Function and Optimal Error Estimates for Linearized Networks - Tong Mao 09:18-09:42 (24min) › Dualization: from subspace correction to operator splitting and alternating direction methods of multipliers - Boou Jiang, King Abdullah University of Science and Technology [Saudi Arabia] 09:42-10:06 (24min) 8:30 - 10:30 (2h) Advances in Numerical Linear Algebra and Applications 117 › Kernel Approximation Using the Proxy Point Method via Contour Integration - Mikhail Lepilov 08:30-08:54 (24min) › Estimating High-Dimensional Covariance Matrices with Hierarchical Rank Structure - 08:54-09:18 (24min) › A Unified Spectral Approach to Scalar, Linear Volterra Equations - David Darrow, Massachusetts Institute of Technology 09:18-09:42 (24min) › Modified Lanczos recursions for discrete exterior PDE problems and other large-scale LTI systems with dense spectra - Vladimir Druskin, Worcester Polytechnic Institute, Southern Methodist University [Dallas, TX, USA] 09:42-10:06 (24min) › Near-optimal Spectral Density Estimation via Explicit and Implicit Deﬂation - Rajarshi Bhattacharjee, University of Massachusetts Amherst 10:06-10:30 (24min) 8:30 - 10:30 (2h) Recent Advances of Innovative Numerical Methods for Nonlinear PDEs 118 Session 3 › Recent progress in the analysis of the Poisson-Nernst-Planck system - Rolf Ryham, Fordham University [New York] 08:30-08:54 (24min) › An integral equation method and an asymptotic analysis approach for erosion in porous media - Szu-Pei Fu, Farmingdale State College 08:54-09:18 (24min) › Solver-in-the-Loop joint operator learning: fractional Laplace-Beltrami features for interface reconstruction - Shuhao Cao, University of Missouri System 09:18-09:42 (24min) › Surface Navier-Stokes Without Inf-Sup Condition - Mansur Shakipov, University of Maryland [College Park] 09:42-10:06 (24min) › A general framework to derive linear, decoupled and energy-stable schemes for reversible-irreversible thermodynamically consistent models - Jia Zhao, University of Alabama 10:06-10:30 (24min) 8:30 - 10:30 (2h) Computational Thermodynamics: Energy and Energy Landscape 119 Session 3 › Accelerating Energy Solutions with High-Entropy Materials: Leveraging Disorder, Computation, and AI - Corey Oses, Johns Hopkins University 08:30-08:54 (24min) › Thermodynamics of Mg2SiO4 under extreme pressures: Implications for super-Earths' interiors - Donghao Zheng 08:54-09:18 (24min) › Ferroelastic Hysteresis and Shear-Modulus Softening in CaSiO3 Perovskite - Tianqi Wan, Lamont-Doherty Earth Observatory 09:18-09:42 (24min) › PyZentropy: Implementing recursive entropy for first-principles thermodynamics in Python - Nigel Hew, Pennsylvania State University 09:42-10:06 (24min) 8:30 - 10:30 (2h) Partial Differential Equations: Theory and Computations 120 Session 3 › Continuous data assimilation by non-interpolant observables - Vladimir Yushutin, The University of Tennessee [Knoxville] 08:30-08:54 (24min) › Explicit corrector in homogenization of monotone operators and its application to nonlinear dielectric elastomer composites - Yuliya Gorb, National Science Foundation [Alexandria, VA] 08:54-09:18 (24min) › Unified spatiotemporal formulations for time-dependent convection-diffusion problems - Seulip Lee, Tufts University 09:18-09:42 (24min) › Reduced Krylov Basis Methods for Parametric Partial Differential Equations - Cheng Zuo, Department of Mathematics, The Pennsylvania State University 09:42-10:06 (24min) 8:30 - 10:30 (2h) Quantifying and Controlling Uncertainty in Complex Systems 121 Session 3 › Large Deviation Theory-Informed Importance Sampling for Rare Event Estimation and Control - Shanyin Tong, University of Pennsylvania 08:30-08:54 (24min) › Extreme event estimation for stochastic differential equations via precise large deviation theory - Timo Schorlepp, Courant Institute of Mathematical Sciences [New York] 08:54-09:18 (24min) › Randomized Algorithms for Optimal Experimental Design - Vishwas Hebbur Venkata Subba Rao, Argonne national laboratory 09:18-09:42 (24min) › Kernel Density Estimation Adaptive Importance Sampling with Gaussian Processes for Rare-events Probability Estimation - Ashwin Renganathan, Penn State 09:42-10:06 (24min) › Scaling Scenario-Based Chance-Constrained Optimization for Rare Events - Jaeseok Choi, Pennsylvania State University 10:06-10:30 (24min) 8:30 - 10:30 (2h) Recent Advances in Scientific Machine Learning Arising from PDEs 122 Session 3 › Physics-Informed Neural Networks for Solving Two-Phase Flow and Fluid-Structure Interaction Problems with Moving Interfaces - Pengtao Sun, University of Nevada [Las Vegas] 08:30-08:54 (24min) › Long-Horizon PDE Prediction via Energy-Stable Evolutionary KANs - Guang Lin, Department of mathematics Purdue University 08:54-09:18 (24min) › Operator learning for hyperbolic PDEs - Christopher Wang, Cornell University 09:18-09:42 (24min) › Barron Approximation and locally optimal shallow neural networks - Gerrit Welper, University of Central Florida [Orlando] 09:42-10:06 (24min) 8:30 - 10:30 (2h) Recent Developments for Numerical Methods for PDEs 124 Session 3 › Liquid Crystal Networks preasymptotic energy and its approximation via a Local Discontinuous Galerkin method - Gonzalo Benavides, University of Maryland [College Park] 08:30-08:54 (24min) › Quantum algorithms for solving PDEs - Xiantao Li, Xiantao Li 08:54-09:18 (24min) › Advanced Numerical Methodologies for Fluid-Structure Interactions - Pengtao Sun, University of Nevada [Las Vegas] 09:18-09:42 (24min) › Adaptive Preconditioning of Sparse Linear Systems using Successive Over-Relaxation with Reinforcement Learning - Soha Yusuf 09:42-10:06 (24min) 8:30 - 10:30 (2h) Computational and Probabilistic Methods: From Theory to Practice 125 Session 3 › Computational and probabilistic methods to understand the dynamics of biological networks - Reka Albert, Penn State System 08:30-09:18 (48min) › Probabilistic Analysis of Gaussian Elimination - Konstantin Tikhomirov, Department of Mathematical Sciences 09:18-10:06 (48min) › Random sphere-packing on lattices - Izabella Stuhl, Penn State University 10:06-10:30 (24min) 8:30 - 10:30 (2h) Physics-Guided & Generative AI for Scientific Computing: Theory, Algorithms and Applications 207 Session 3 › FunDiff: Diffusion models over function spaces for physics-informed generative modeling - Lu Lu, Yale University [New Haven] 08:54-09:18 (24min) › Quantitative Clustering in Mean-Field Transformer Models - Shi Chen, Department of Mathematics, Massachusetts Institute of Technology 09:18-09:42 (24min) › A supervised learning scheme for the Hamilton-Jacobi equation via density coupling - Haomin Zhou, Georgia Institute of Technology 10:06-10:30 (24min) 8:30 - 10:30 (2h) Collective Behavior for Biologically Inspired and Social Systems 208 › Agent-Based Modeling of Collective Foraging and Movement in Bison Herds - Woods Jacob, Temple University [Philadelphia] 08:30-08:54 (24min) › Neuromorphic Decision Making for Resource Constrained Robot Collectives - Himani Sinhmar, Princeton University 08:54-09:18 (24min) › Structured heterogeneity leads to group-level selective sensitivity and robustness - Ian Xul Belaustegui, Department of Mechanical and Aerospace Engineering [Princeton] 09:18-09:42 (24min) › Emergence of cooperative behavior in multi-agent models of thermal huddles - Nicole Zalewski, Temple University 09:42-10:06 (24min) › Adaptive dynamics of reputation, gossip, and moral norms - Taylor Kessinger, University of Pennsylvania 10:06-10:30 (24min) 8:30 - 10:30 (2h) Foundation Models: From Theory to Practice 209 Session 2 › Hierarchical Mamba Meets Hyperbolic Geometry: A New Paradigm for Structured Language Embeddings - Mengjia Xu, New Jersey Institute of Technology [Newark] 08:30-08:54 (24min) › Robust Feature Selection for Trustworthy AI - Anton Xue, University of Texas at Austin [Austin] 08:54-09:18 (24min) › Surya FM: A foundation model in heliophysics. - Spiridon Kasapis, Department of Astrophysical Sciences, Princeton University 09:18-09:42 (24min) › In-Context Operator Learning on the Space of Probability Measures - Dixi Wang, Purdue University 09:42-10:06 (24min) › Multimodal Foundation Model for Accelerating Numerical Simulation of Differential Equations via Error Correction - Jiaxin Yuan, University of Maryland, College Park 10:06-10:30 (24min) 8:30 - 10:30 (2h) Recent advances in low-rank methods and their applications 210 › A Sampling-Based Adaptive Rank Approach to the Wigner-Poisson System - Sining Gong, Michigan State University [East Lansing] 08:30-08:54 (24min) › Discrepancies are Virtue: Weak-to-Strong Generalization through Lens of Intrinsic Dimension - Yijun Dong, Courant Institute of Mathematical Sciences [New York] 08:54-09:18 (24min) › Why machine learning researchers should care about low-rank structures? - Annan Yu, Cornell University 09:18-09:42 (24min) › Efficient oversampled Tensor-Train Cross approximation for large data - Daniel Hayes, University of Delaware [Newark] 09:42-10:06 (24min) 8:30 - 10:30 (2h) Contributed talks 217 Session 5 › A generalized reduction scheme for the Stochastic Weighted Particle Method - John Zweck, New York Institute of Technology 08:30-08:54 (24min) › Convergence of Markov Chains for Stochastic Gradient Descent with Separable Functions - Zaleski Philip, New Jersey Institute of Technology 08:54-09:18 (24min) › Polynomial complexity sampling from multimodal distributions using Sequential Monte Carlo - Ruiyu Han, Carnegie Mellon University [Pittsburgh] 09:18-09:42 (24min) › Rescuing double robustness: safe estimation under complete misspecification - Lorenzo Testa, Carnegie Mellon University [Pittsburgh] 09:42-10:06 (24min) 8:30 - 10:30 (2h) Contributed talks 218 Session 6 › Exact analysis of basis pursuit denoising via differential inclusions and a selection principle - Gabriel Provencher Langlois, New York University 08:30-08:54 (24min) › Lattice Annotated Temporal (LAT) Logic for Non-Markovian Reasoning - Kaustuv Mukherji, Syracuse University 08:54-09:18 (24min) › On Healthy, Sick, and Dead Equations of Systems of Linear Algebraic Equations - Isom Jurayev, Retired 09:18-09:42 (24min) › Orthogonality Spaces over Finite Fields - Thang Nguyen, New Mexico State University 09:42-10:06 (24min) › Synchronization of coupled oscillators on self-similar sets - Matthew Mizuhara, The College of New Jersey 10:06-10:30 (24min) 8:30 - 10:30 (2h) Contributed talks 219 Session 7 › Inertial Particle Dynamics of Different Shapes in Fluid Flows - Takashi Yashiro, Montclair State University [USA] 08:30-08:54 (24min) › The Rayleigh Collapse of Two Spherical Bubbles - Daniel Hobbs, Rochester Institute of Technology 08:54-09:18 (24min) › Optimizing Peristaltic Pump Shapes for Particle Transport in Stokes Flow - Ruowen Liu, Rider University 09:18-09:42 (24min) › Dynamics of Ocean Kinematic Properties - Denny Kirwan, University of Delaware 09:42-10:06 (24min) › The Complexities of Discontinuous Attractor Trajectories: Explorations of Periodic Forcing of the Ocean Vorticity Equation - Helga Huntley, Rowan University 10:06-10:30 (24min) 8:30 - 10:30 (2h) Advances in Modeling and Computation of Transport Problems 216 Session 2 › DATA COMPLETION FOR ELECTRICAL IMPEDANCE TOMOGRAPHY BY CONDITIONAL DIFFUSION MODELS - Ke Chen, University of Delaware 08:30-08:54 (24min) › Fast Algorithms for A Linear Four-Field Thermo-Poroelastic Model - Mingchao Cai, Morgan State University 08:54-09:18 (24min) › Binned Spectral Power Loss for Improved Prediction of Chaotic Systems - Dibyajyoti Chakraborty, Pennsylvania State University 09:18-09:42 (24min) › Moment-enhanced shallow water equations for non-slip boundary conditions - Shiping Zhou, Michigan State University [East Lansing] 09:42-10:06 (24min) › Data-driven Whitney forms for structure preserving models - Benjamin Shaffer, University of Pennsylvania 10:06-10:30 (24min) Coffee break 10:30 - 11:00 (30min) Coffee break Plenary Talk (Room 100): Jinchao Xu (KAUST & Penn State University) 11:00 - 12:00 (1h) Plenary Talk (Room 100): Jinchao Xu (KAUST & Penn State University) Closing Remarks 12:00 - 12:15 (15min) Closing Remarks