Papers & talks
Publications and presentations
Research in scientific machine learning, dynamical systems, inverse problems, and numerical analysis. The lists below are current through October 2026.
Papers
Journal articles
- Unified Learning of the Profile Function in Discrete Keller-Segel Models
- Dimension Domain Co-Decomposition: Solving PDEs with Interpretability
- SEDONA-GesaRaT: A Deep Learning Accelerated Radiative Transfer Program for 3D Supernova Simulations
- Stability in Training PINNs for Stiff PDEs: Why Initial Conditions Matter
- A Finite Element Framework for Simulating Residential Burglary in Realistic Urban Geometries
- Attractive and Repulsive Interactions in the One-Dimensional Swarmalator Model
- Stabilized Hyperbolic PDE Solver by Adding Adaptive Localized Artificial Viscosity to Physics-Informed Neural Networks
- The Emergence of Lines of Hierarchy in Collective Motion of Biological Systems
- Learning Theory for Inferring Interaction Kernels in Second-Order Interacting Agent Systems
- On the Sparsity of Lasso Minimizers in Sparse Data Recovery
- Data-Driven Discovery of Emergent Behaviors in Collective Dynamics
- Nonparametric Inference of Interaction Laws in Systems of Agents from Trajectory Data
- A Stochastic Mortar Mixed Finite Element Method for Flow in Porous Media with Multiple Rock Types
Conference and workshop papers
- PINNs-Based Uncertainty Quantification for Transient Stability Analysis
- 3D-PINNS: A Unified Framework for Dimension-Wise Interpretability and Adaptive Domain Decomposition
- Noise-Based Regularized Training for Diffusion Models
- Learning Stochastic Dynamics from Data
- Towards Saner Deep Image Registration
- Learning Interaction Variables and Kernels from Observations of Agent-Based Systems
- Grassmannian Packings: Trust Region Stochastic Tuning for Matrix Incoherence
- Learning Interaction Kernels for Agent Systems on Riemannian Manifolds
Book chapter
- Learning Collective Behaviors from Observation
Manuscripts under review
- Physics-Informed Random Feature Neural Networks for Solving PDEs
- Learning Interaction Kernels from Collective Steady States
- Simultaneous Inference of Environmental and Interaction Forces in Collective Dynamics
- Event-Structured Physics-Informed Neural Networks for Differentiable Critical Clearing Boundaries
- Crime Hotspot Dynamics in Residential Burglary Models with Police Response
- Noise-Aware System Identification for High-Dimensional Stochastic Dynamics
Manuscripts in preparation or revision
- Machine Learning for Discovering Effective Interaction Kernels Between Celestial Bodies from Ephemerides
- Discovery of Hidden Crime Dynamics, Part I: Parametric Structures
- Learning Stochastic Dynamical Systems with Structured Noise
- An Integrated Framework for Learning Stochastic Differential Equations
- Identification of Diffusion and Reaction Functions from Stochastic Diffusion-Reaction PDEs
- Label Propagation for Physics-Informed Neural Networks and Physics-Informed Gaussian Processes
Other preprints and doctoral dissertation
- Using Physics-Informed Neural Networks for Supernova Radiative Transfer Simulation
- Concurrent Emergence of Clustering, Flocking and Synchronization in Systems of Interacting Agents
- Time Relaxation with Iterative Modified Lavrentiev Regularization
- Iterative Refinement of a Modified Lavrentiev Regularization Method for De-Convolution of the Discrete Helmholtz Type Differential Filter
- Hierarchical Reconstruction Method for Solving Ill-Posed Linear Inverse Problems
Talks
Upcoming and recent invited presentations
- Jan. 2027Recent Advances in Learning Collective BehaviorJoint Mathematics Meetings, Chicago, Illinois · scheduled
- Nov. 2026Understanding Collective BehaviorsSIAM Mathematics of Data Science, Salt Lake City, Utah · scheduled
- Oct. 2026Modeling, Simulation, and Data-Driven Discovery of Crime DynamicsSIAM NY-NJ-PA Sectional Meeting, Piscataway, New Jersey · scheduled
- Oct. 2026Enhanced Training Methods for PINNs for Solving Stiff PDEs and Hyperbolic PDEsSIAM Central States, Jackson, Mississippi
- Jul. 2026Discover Dynamics from Static PatternsEquation-Based Learning at SIAM Life Sciences, Cleveland, Ohio
- May 2026Structure-Aware Physics-Informed Random Feature NetworksSIAM Conference on Waves and Coherence Structures, Montréal, Canada
- May 2026Discover Dynamics from Static Patterns9th International Conference on Computational Harmonic Analysis, Vanderbilt University
- Sep. 2025Discover Dynamics from Static PatternsSIAM TX-LA Sectional Meeting, University of Texas at Austin
- May 2025Recent Advances in Efficient Learning from High-Dimensional DataNSF CompMath PIs Meeting, University of Utah
- May 2025Learning Stochastic Dynamics from Structured NoiseAMS Spring Southeastern Sectional Meeting, Clemson University
- Apr. 2024Learning Collective Variables and Kernels from ObservationsIMSI, University of Chicago
- Apr. 2024Learning Collective Behaviors from ObservationMidwest Numerical Day, University of Iowa
Invited conference and workshop talks, 2015–2023
- Oct. 2023Machine Learning of Collective BehaviorsSIAM Great Lakes, Michigan State University; and SIAM Central States, University of Nebraska-Lincoln
- Aug. 2023Machine Learning of Self-Organization from ObservationICIAM 2023, Tokyo, Japan
- July 2023Physics-Informed Machine Learning for Solving Stiff and Nonlinear PDEs17th U.S. National Congress on Computational Mechanics, Albuquerque, New Mexico
- June 2023Learning Collective Behaviors in NetworksIDEAL Get Ready for Research Workshop, University of Illinois Chicago
- June 2023Making Scientific Discoveries with Scientific Machine LearningTexas A&M Research Computing Symposium
- May 2023Machine Learning of Self-Organization from ObservationBIRS Workshop: Emergent Collective Behaviors, Banff, Canada
- May 2023Machine Learning of Collective Behaviors from ObservationSIAM DS23, Portland, Oregon
- Apr. 2023Machine Learning of Collective Behaviors from ObservationMidwest Numerical Analysis Day, Iowa State University; and Shanks Workshop, Vanderbilt University
- Apr. 2022Machine Learning of Self-Organization from ObservationThematic Einstein Semester Workshop, Berlin, Germany
- Nov. 2021Machine Learning for Discovering Effective Interaction Kernels Between Celestial Bodies from EphemeridesSIAM TX-LA Sectional Meeting
- May 2021Data-Driven Modeling of Celestial MechanicsSIAM Conference on Applications of Dynamical Systems
- Apr. 2021Data-Driven Modeling of Celestial MechanicsEast Coast Optimization Meeting, George Mason University
- Apr. 2021Data-Driven Modeling of Collective DynamicsSayas Numerics Day, University of Maryland
- 2019Data-Driven Discovery of Emergent States in Collective DynamicsMid-Atlantic Numerical Analysis Day; Young Researchers Workshop on Kinetic Theory; SIAM SEAS
- May 2019Data-Driven Approaches for Scientific DiscoveriesConference on Applied Mathematics, George Washington University
- 2018Learning Interaction Laws from ObservationsMid-Atlantic Numerical Analysis Day; International Conference on Mathematics of Data Science; Young Researchers Workshop; CMS–AMS Joint Meeting
- Apr. 2017Hierarchical Reconstruction Method for De-Convolution on Discrete Helmholtz FilterConference on Applied Mathematics, George Washington University
- Nov. 2015Hierarchical Reconstruction of Sparse Solutions from Under-Determined Linear SystemsMid-Atlantic Numerical Analysis Day, Temple University
Colloquia, seminars, and industry talks
- Mar. 2026Discover Dynamics from Static PatternsApplied Math Seminar, University of California, Riverside
- Aug. 2024Recent Advances in Structured Learning from High-Dimensional DataData-Enabled Science Seminar, University of Houston
- Apr. 2024Learning Collective Behaviors from ObservationPyData Chicago
- Sep. 2023Machine Learning of Collective BehaviorsApplied Math Seminar, University at Buffalo
- Sep. 2023Learning Collective Behaviors from ObservationData Science Colloquium, Rush University
- Feb. 2023Machine Learning of Self-Organization from ObservationUniversity of Notre Dame; University of South Carolina; Illinois Institute of Technology
- Oct. 2022Scientific Machine Learning for Knowledge DiscoveryChemical and Biological Engineering Seminar, Illinois Tech
- Apr. 2022Machine Learning of Self-Organization from ObservationComputational Science Seminar, UMass Dartmouth
- Mar. 2022Machine Learning of Self-Organization from ObservationUniversity of Houston; Lawrence Livermore National Laboratory
- Jan. 2022Machine Learning of Self-Organization from ObservationApplied Physics Seminar, University of Nevada-Las Vegas
- 2021Machine Learning of Collective Behaviors from ObservationBaylor University; Texas A&M University; University of Notre Dame; Oak Ridge National Laboratory
- Mar. 2021Data-Driven Modeling of Collective DynamicsUniversity of New South Wales; Syracuse University; University of Georgia; University of Oklahoma
- 2020Learning Collective Dynamics from Trajectory DataDartmouth College; Clarkson University; Illinois Tech
- 2019Emergent Behaviors and Interaction Laws in Collective DynamicsUniversity of Maryland; UMBC; George Washington University
- Oct. 2018Discovering Governing Laws of Interaction in Heterogeneous Agent DynamicsUniversity of Maryland
- Nov. 2012Hierarchical Reconstruction of Sparse SignalsStone Ridge Technology, Bel Air, Maryland
Poster presentations
- June 2023Learning Collective Behaviors from ObservationModern Applied and Computational Analysis at ICERM
- Mar. 2023Learning Collective Behaviors from ObservationAAAI Spring Symposium on Computational Approaches to Scientific Discovery
- Aug. 2022Making Scientific Discoveries with Scientific Machine LearningAI + Science Summer School, University of Chicago
- July 2021Learning Interaction Kernels for Agent Systems on Riemannian ManifoldsICML 2021
- May 2021Physics-Informed Machine Learning of Collective Behaviors from ObservationICERM Workshop on Hyperbolic Conservation Laws
- 2020Learning Collective Dynamics and Emergent BehaviorsIMA Workshop; ICERM Algorithms for Dimension and Complexity Reduction; ICERM Mathematics of Reduced Order Models
- Apr. 2019Learning Interaction Laws in Heterogeneous Agent DynamicsNature Conference on Emergent Materials and Devices, Chengdu, China
- 2018Learning Interaction Laws in Heterogeneous Agent DynamicsCISMMS Workshop and IDIES Annual Symposium, Baltimore
- Aug. 2017Learning Dynamical Interactions on Multiple Classes of AgentsICERM Workshop on Pedestrian Dynamics