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›8:00 (30min)
8:00 - 8:30 (30min)
Registration
8:30 - 9:30 (1h)
Opening Remarks & Plenary Talk (Room 100): George Karniadakis (Brown University)
›9:30 (30min)
9:30 - 10:00 (30min)
Coffee break
›10:00 (2h)
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 (2h)
› 117
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 (2h)
Physics-Guided & Generative AI for Scientific Computing: Theory, Algorithms and Applications
Session 1 › 207
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)
›12:00 (1h30)
12:00 - 13:30 (1h30)
Lunch (Dining Hall)
›12:00 (1h30)
12:00 - 13:30 (1h30)
Poster Session
13:30 - 14:30 (1h)
Plenary Talk (Room 100): Abba Gumel (University of Maryland)
›14:30 (2h)
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 (2h)
› 117
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 (2h)
Physics-Guided & Generative AI for Scientific Computing: Theory, Algorithms and Applications
Session 2 › 207
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)
›16:30 (30min)
16:30 - 17:00 (30min)
Coffee break
17:00 - 18:00 (1h)
Plenary Talk (Room 100): Noel Walkington (Carnegie Mellon University)
›18:30 (1h30)
18:30 - 20:00 (1h30)
Banquet and Business Meeting
at Nittany Lion INN Ballroom ABC
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