Ordinary Differential Equations

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8 papers in the last four weeks, up 60% on the four weeks before. 0.1% of all new papers.

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  1. Unified Optimality Conditions for Stochastic Optimal Control in the Rough Path and Itô Frameworks

    Sep 29, 2026Thomas LewStochastic Optimal ControlStochastic Differential Equations

    Toyota Research Institute

  2. Identifiability Guarantees for Drivers and Dynamics of Delayed Physical Systems

    Sep 29, 2026Julien Boussard, Antoine Debouchage, Théo SaulusIdentifiabilityOrdinary Differential Equations

    School of Computer Science, McGill University, Canada · Mila - Quebec AI Institute, Canada · LaMMe, Université Évry Paris-Saclay, France +1

  3. Identifying ODEs from Unstructured Data with Causal Representation Learning

    Sep 29, 2026Alessandro Trenta, Riccardo Massidda, Davide Bacciu +1Ordinary Differential EquationsCausal Representation Learning

    Department of Computer Science University of Pisa · Saarland Informatics Campus Saarland University & University of Amsterdam

  4. ALDER: Discovering the Laws of a World by Acting in It

    Sep 27, 2026Teng Cao, Yu Deng, Quentin Delfosse +1World ModelsGoal-Directed Behavior

    Technische Universität Darmstadt · Intrinsic · CS Department, TU Darmstadt +2

  5. TinyUDE: Solver-Free Universal Differential Equations on Microcontrollers via Lie-Taylor Jet Matching

    Sep 22, 2026Pranavanath Balamurali, Hrishi KamireddyOrdinary Differential EquationsTime Discretization

    Department of Electrical and Computer Engineering The University of Texas at Austin · Department of Computer Science The University of Texas at Austin

  6. Enhancing Transformer Representations of Symbolic ODE Expressions

    Sep 21, 2026Xiyue Fan, Adam Prugel-Bennett, Stuart E. MiddletonOrdinary Differential EquationsSymbol-

    University of Southampton

  7. Continuous-Time Acoustic Modelling with Neural Controlled Differential Equations

    Sep 12, 2026Mattias Cross, Minghui Zhao, Anton RagniAutoregressive Text-To-SpeechNeural Audio

    Speech and Hearing Group University of Sheffield Sheffield, United Kingdom

  8. Two-Parameter Flow Map Learning for Continuous-Time Diffeomorphic Image Registration

    Sep 11, 2026Mohammadjavad Matinkia, Nilanjan RayImage RegistrationFlow Map

    University of Alberta, Canada

  9. DeSyR: A Decoupled Symbolic Recovery Framework with PINN-Guided Structure Search and Physics-Informed Coefficient Refinement

    Sep 1, 2026Pancheng Niu, Jun Guo, Qiaolin He +2Ordinary Differential EquationsPhysics-Aware Models

    Chengdu University of Information Technology, College of Applied Mathematics, Chengdu, 610225, China · Sichuan University, School of Mathematics, Chengdu, 610065, China · Hong Kong Polytechnic University, Department of Computing, Hong Kong, 999077, China +1

  10. LLMODE: Aligning ODEs with LLMs via Gated Token Injection for Irregular Spatio-Temporal Forecasting

    Aug 30, 2026Di Zhang, Jingyang Zhang, Ziqian Wang +4Spatio-Temporal ForecastingLatent Trajectories

    Beihang University Beijing, China

  11. Sparse Orthogonal Regression Technique: A Spectral Framework for Equation Discovery, Approximation, and Integration

    Aug 13, 2026Sabin Roman, Ljupco Todorovski, Saso DzeroskiSystem IdentificationSymbolic Regression

    Department of Knowledge Technologies, Jožef Stefan Institute · Faculty of Mathematics and Physics, University of Ljubljana

  12. Robust data-driven discovery of fractional differential equations via weak formulations and Pareto-based subset selection

    Aug 13, 2026Pongpisit Thanasutives, Yoshinobu KawaharaVariational FormulationOne-Dimensional Viscous Burgers Equation

    Center for Advanced Intelligence Project (AIP), RIKEN, Tokyo, Japan. · Graduate School of Information Science and Technology, The University of Osaka, Osaka, Japan.

  13. Marrying Optimal Transport and ODEs for Unified Continuous-Time 4D Reconstruction and Tracking

    Aug 10, 2026Liying Yang, Hao Mo, Jialun Liu +74D Reconstruction3D Tracking

    SCSE, Macau University of Science and Technology · The University of Queensland · Great Bay University +3

  14. Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations

    Aug 9, 2026Xiang Rao, Yuxuan ShenHybrid Quantum-Classical PipelineKolmogorov-Arnold Networks

    1. School of Petroleum Engineering, Yangtze University, Wuhan 430100, China · 2. College of Future Technology, Yangtze University, Wuhan 430100, China · 3. School of Computer Science, Yangtze University, Jingzhou 434023, China +2

  15. Parameter-Dependent LMI Synthesis for Semi-Global Differential ISS Trajectory Tracking of Nonholonomic Mobile Robots Under Multiplicative Wheel Slip

    Aug 8, 2026Mohammad SabouriSlipsenseWheel

    Department of Informatics, Bioengineering, Robotics, and Systems Engineering (DIBRIS), University of Genoa, Via Opera Pia 13, Genoa 16145, Italy · Applied Control & Robotics Research Laboratory (ACRRL), Department of Power and Control Engineering, School of Electrical and Computer Engineering, Shiraz University, Shiraz, Iran

  16. Wasserstein Policy Gradient for Entropy-Regularized Linear-Quadratic Control

    Aug 7, 2026Zhaoyu Zhu, Rui Gao, Shuang LiEntropy Regularized Reinforcement LearningLinear Quadratic Regulator

    University of Illinois Urbana-Champaign · The University of Texas at Austin · The Chinese University of Hong Kong, Shenzhen

  17. Stochastic gradient descent with discontinuity across a manifold

    Aug 7, 2026Vivek S. BorkarStochastic Gradient DescentManifolds

    Department of Electrical Engineering, Indian Institute of Technology Bombay, Powai, Mumbai 400076, INDIA.

  18. Flowing Through States: Neural ODE Regularization for Reinforcement Learning

    Aug 6, 2026Mohamed Ghanem, Bernd FinkbeinerNeural Ordinary Differential EquationsLatent Dynamics

    CISPA Helmholtz Center for Information Security · Technical University of Munich

  19. Adaptive Quantum Physics-Informed Neural Networks for Differential Equations with Applications to Fluid Dynamics

    Aug 1, 2026Fabio Pereira dos Santos, Renato Portugal, Júlio de Castro Vargas Fernandes +1Quantum Neural NetworksHybrid Quantum-Classical Pipeline

    Coordination of Mathematical and Computational Methods National Laboratory of Scientific Computing Av. Getúlio Vargas, 333 - Quitandinha, Petrópolis - RJ, 25651-075 · Center for Computation and Technology - Louisiana State University, 888 S. Stadium Dr., Baton Rouge, LA 70808, USA

  20. Reflected UAS: Corrected Deterministic Stability and Direct CTMC Drift Calculation

    Jul 30, 2026Krishna SubediQueue ControlMarkov

    Neryva

  21. A note on the motion representation and configuration update in time stepping schemes for the constrained rigid body

    Jul 27, 2026A. MüllerRigid-Body DynamicsLie Group

    Institute of Robotics, Johannes Kepler University, Altenbergerstr. 69, 4040 Linz, Austria

  22. Beyond Directed Acyclic Graphs: Causal Zeros and Causal Differential Equations

    Jul 24, 2026Sergei V. KalininLocal Causal StructuresDirected Acyclic Graph

    Department of Materials Science and Engineering, University of Tennessee, Knoxville

  23. Spatial Transport of Integration Error in Generative ODEs

    Jul 17, 2026Songheng YinTime DiscretizationDiffusion Models

    Columbia University

  24. RTS Smoother-Guided Learning of Physics-Based Neural Differential Models

    Jul 16, 2026Ahmet Demirkaya, Georgios Stratis, Tales Imbiriba +2Neural Ordinary Differential EquationsOrdinary Differential Equations

    Department of Electrical and Computer Engineering Northeastern University · Department of Computer Science University of Massachusetts Boston · Emory University

  25. Automatic Ordinary Differential Equations Discovery For Biological Systems Using Large Language Model Powered Agentic System

    Jul 15, 2026David Krongauz, Arad Zulti, Eran Segal +1Model DiscoveryOrdinary Differential Equations

    Department of Computer Science and Applied Mathematics, Weizmann Institute of Science, Rehovot, Israel · Department of Molecular Cell Biology, Weizmann Institute of Science, Rehovot, Israel · Mohamed bin Zayed University of Artificial Intelligence, Abu Dhabi, United Arab Emirates +2

  26. DSSMs: State Space Models with Explicit Memory via Delay Differential Equations

    Jul 11, 2026Yixiao Qian, Song Chen, Jiaxu Liu +2State Space ModelsSequence Modeling

    College of Control Science and Engineering, Zhejiang University · Department of Mathematics, National University of Singapore · School of Mathematical Sciences, Zhejiang University

  27. PDEFlow: Autonomous Agentic PDE Pipelines for Neural Operator Learning and Solver-Free Inference

    Jul 6, 2026Akshat Jani, Prathamesh Gadekar, Sakhinana Sagar Srinivas +1Neural Partial Differential Equation SolversNeural Operators

    Tata Research Development and Design Center, Pune, India 411057

  28. LLM-Guided ODE Discovery and Parameter Inference from Small-Cohort Aggregate Data

    Jul 1, 2026Hanning Yang, Meropi Karakioulaki, Lennart Purucker +3Rare DiseaseModel Discovery

    Institute of Medical Biometry and Statistics, Faculty of Medicine and Medical Center, University of Freiburg, Germany · Department of Dermatology, Medical Faculty and Medical Center, University of Freiburg, Germany · Prior Labs, University of Freiburg, Germany

  29. Introduction to Stochastic Differential Equations for Generative Machine Learning: A Variational Perspective

    Jun 30, 2026Ole Winther, Paul Jeha, Sander Dieleman +3Stochastic Differential EquationsVariational

    Department of Biology, University of Copenhagen, 2200, Copenhagen, Denmark · Department of Applied Mathematics and Computer Science, Technical University of Denmark, Kgs. Lyngby, Denmark · Google DeepMind, London, UK +2

  30. Interventional Flow Matching: Prospective Dose-Response Forecasting with Velocity-Field Jacobian Regularization

    Jun 28, 2026Amirreza Dolatpour Fathkouhi, Justin Lee, Heman ShakeriContinuous Glucose MonitoringConditional Flow Matching

    Department of Computer Science · School of Data Science

  31. Recovering Governing Equations from Solution Data: Identifiability Bounds for Linear and Nonlinear ODEs

    Jun 25, 2026Yang Pan, Helmut BölcskeiOrdinary Differential EquationsIdentifiability

  32. A Latent ODE Approach to Spatiotemporal Modeling of Cine Cardiac MRI

    Jun 25, 2026David Brüggemann, Ekaterina Krymova, Firat Özdemir +6Cardiac Magnetic Resonance ImagingCardiac Motion

    Swiss Data Science Center, EPFL and ETH Zürich, Switzerland · Diagnostic and Interventional Radiology, University Hospital Zürich, Switzerland · Institute for Biomedical Engineering, University and ETH Zürich, Switzerland +2

  33. INDEQS: Informed Neural controlled Differential EQuationS

    Jun 17, 2026Michael Detzel, Gabriel Nobis, Kristiyan Blagov +3Neural Ordinary Differential EquationsTemporal Graph Neural Networks

    Fraunhofer Heinrich Hertz Institute · Technische Universität Berlin

  34. Attention is Just Another Name for Coupling? A Fast-Slow ODE Perspective on Hierarchical Pretraining

    Jun 15, 2026Zhengyuan GaoTransformer AttentionPretraining

    Independent scholar

  35. Nonlocal Bayesian Modeling of Continuous Spatio-Temporal Dynamics

    Jun 12, 2026Jaeyeong Lee, Heeyoung KimSpatio-Temporal ForecastingBayesian Inference

    Department of Industrial and Systems Engineering, Korea Advanced Institute of Science and Technology (KAIST), Daejeon, Republic of Korea

  36. Hierarchical ODE: Learning Continuous-Time Physical Prototypes for Early Link Failure Detection

    Jun 12, 2026Jiaen Lv, Leran Qi, Shaowei WangNeural Ordinary Differential EquationsEarly Failure Prediction

    School of Electronic Science and Engineering, Nanjing University, Nanjing, China.

  37. COGENT: Continuous Graph Emulators with Neural Ordinary Differential Equations for Long-Term Physical Forecasting

    Jun 9, 2026Zesheng Liu, Maryam RahnemoonfarLong-Horizon ForecastingNeural Ordinary Differential Equations

    Lehigh University · Bethlehem, Pennsylvania, USA

  38. Data-driven discovery of governing differential equations across physical systems

    Jun 8, 2026Siyu Lou, Hao Xu, Wenguan Wang +6Ordinary Differential EquationsModel Discovery

    School of Computer Science, Shanghai Jiao Tong University, Shanghai, China · Ningbo Key Laboratory of Advanced Manufacturing Simulation, Eastern Institute of Technology, Ningbo, Ningbo, China · The State Key Lab of Brain-Machine Intelligence, Zhejiang University, Hangzhou, China. +5

  39. Learning to Solve Generative ODEs Beyond the Linear Span

    Jun 7, 2026Sihyeon Kim, Seunghun Lee, Vikas Singh +1Generative ModelsOrdinary Differential Equations

    Korea University · KAIST · University of Wisconsin–Madison

  40. Stable and Scalable Probabilistic Numerical Solvers for Stiff and High-Dimensional ODEs

    Jun 6, 2026Nathanael BoschSolver IterationsOrdinary Differential Equations

    EPFL, Lausanne, Switzerland

  41. Mitigating the Contractivity Trap in Diffusion ODEs via Stein Stabilization

    Jun 5, 2026Shigui Li, Delu ZengDiffusion ModelsWasserstein Gradient Flows

    School of Mathematics, South China University of Technology, Guangzhou, China · School of Electronic and Information Engineering, South China University of Technology, Guangzhou, China

  42. A Data-Free Symbolic Regression Approach for Solving Equations

    Jun 5, 2026Sergei Garmaev, Vinay Sharma, Olga FinkSymbolic RegressionOrdinary Differential Equations

    Intelligent Maintenance and Operations Systems Laboratory, EPFL, Lausanne, CH-1015, Switzerland

  43. Learning Manifold and Itô Dynamics with Branched Neural Rough Differential Equations

    Jun 3, 2026Luke Thompson, Dai Shi, Lequan Lin +2Neural Ordinary Differential EquationsOrdinary Differential Equations

    University of Sydney, Australia · Cambridge University, United Kingdom.

  44. Learning effective models from network dynamics data with multiple initial conditions using weak form SINDy

    May 28, 2026Moyi Tian, Daniel A. Messenger, Vanja Dukic +2System IdentificationNetwork Science

    Department of Applied Mathematics, University of Colorado, Boulder, CO 80309 United States · Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM 87545 United States

  45. Physics from Video: Identifiability of Time-Invariant Second-Order ODEs under Minimal Trajectory Conditions

    May 27, 2026Yuanyuan Wang, Wenjie Wang, Kun Zhang +1IdentifiabilityOrdinary Differential Equations

    Mohamed bin Zayed University of Artificial Intelligence, Abu Dhabi, UAE · University of Melbourne, Melbourne, Australia · Carnegie Mellon University, Pittsburgh, USA

  46. Branched Signature Kernel Solvers for ODEs with rough Single-Trajectory signals

    May 25, 2026Munawar Ali, Qi Feng, Charlie Pyle +1Ordinary Differential EquationsKernel Method

    Department of Mathematics, Florida State University, Tallahassee, FL 32306 · Department of Mathematics, Texas A&M University, College Station, TX 77843 · Department of Mathematics, Rutgers University, Piscataway, NJ 08854

  47. A Tutorial on Diffusion Theory: From Differential Equations to Diffusion Models

    May 21, 2026Jiayi Fu, Yuxia WangScore-Based Diffusion ModelDiffusion Dynamics

    INSAIT, Sofia University “St. Kliment Ohridski”, Bulgaria

  48. Unlocking the Potential of Continual Model Merging: An ODE Perspective

    May 19, 2026Lihong Lin, Haidong KangContinual Model MergingReplay-Based Continual Learning

    Northeastern University, Shenyang, China

  49. Understanding Dynamics of Adam in Zero-Sum Games: An ODE Approach

    May 19, 2026Yi Feng, Weiming Ou, Xiao WangAdamImperfect-Information Games

    Aarhus University, Aarhus, Denmark · Shanghai University of Finance and Economics, Shanghai, China · MoE Key Laboratory of Interdisciplinary Research of Computation and Economics, Shanghai University of Finance and Economics, Shanghai, China

  50. StableHand: Quality-Aware Flow Matching for World-Space Dual-Hand Motion Estimation from Egocentric Video

    May 18, 2026Huajian Zeng, Chaohua Yao, Yuantai Zhang +33D HandEgocentric Motion Generation

    Mohamed bin Zayed University of Artificial Intelligence · University of Illinois at Urbana-Champaign · Imperial College London

  51. Bayesian Nonparametric Mixed-Effect ODEs with Gaussian Processes

    May 13, 2026Julien Martinelli, Maksim Sinelnikov, Harri Lähdesmäki +2Ordinary Differential EquationsGaussian Process

    Aalto University · Inria SISTM team · Univ. Bordeaux, INSERM BPH, U1219, Inria SISTM team, VRI, France

  52. Steerable Neural ODEs on Homogeneous Spaces

    May 11, 2026Emma Andersdotter, Daniel Persson, Fredrik OhlssonNeural Ordinary Differential EquationsOrdinary Differential Equations

    Department of Mathematics and Mathematical Statistics Umeå University Umeå SE-901 87, Sweden · Department of Mathematical Sciences2026 Chalmers University of Technology and Gothenburg University Gothenburg SE-412 96, Sweden · Department of Mathematics and Mathematical Statistics 11 Umeå University Umeå SE-901 87, Sweden

  53. A general classification of the replication dynamics with a unique fixed point in the interior of simplex SNS_N

    May 11, 2026Hongju Daisy Chen, Bin Yi, Zhanshan Sam MaSimplexOrdinary Differential Equations

    School of Mathematics and Statistics, Guilin University of Technology, Guilin, Guangxi, China · Guangxi Colleges and Universities Key Laboratory of Applied Statistics, Guilin, Guangxi, China · Computational Biology and Medical Ecology Lab Biostatistics and Image Genetics Lab Kunming Institute of Zoology, Chinese Academy of Sciences, Kunming, China +2

  54. Physics-Informed Neural PDE Solvers via Spatio-Temporal MeanFlow

    May 9, 2026Hanru Bai, Yuncheng Zhou, Difan ZouNeural Partial Differential Equation SolversTime Discretization

    1Fudan University · 2The University of Hong Kong.

  55. Discovering Ordinary Differential Equations with LLM-Based Qualitative and Quantitative Evaluation

    May 8, 2026Sum Kyun Song, Bong Gyun Shin, Jae Yong LeeOrdinary Differential EquationsSymbolic Regression

    Department of Artificial Intelligence, Chung-Ang University, Seoul, Republic of Korea · Department of AI Big Data, Daejin University, Pocheon-si, Republic of Korea.

  56. PyCC.id: A package for hypothesis-driven equation discovery with structural identifiability

    May 7, 2026Federico J. GonzalezOrdinary Differential EquationsSystem Identification

    Physics Institute of Rosario (IFIR), CONICET-UNR, Blvd. 27 de Febrero 210 Bis, Rosario, S2000EZP, Argentina.

  57. Differentiable Parameter Optimization for DAEs with State-Dependent Events

    May 6, 2026Ion Matei, Maksym Zhenirovskyy, Anthony WongDifferentiable OptimizationOrdinary Differential Equations

    Fujitsu Research of America

  58. Gradient Scaling Effects in Adaptive Spectral PINNs for Stiff Nonlinear ODEs

    May 6, 2026Isabela M. Yepes, Pavlos ProtopapasParametric Physics-Informed Neural NetworkOrdinary Differential Equations

    Harvard University

  59. Reentrant value fields as delayed coupled reaction-diffusion systems on finite graphs

    May 5, 2026Karsten BohlenOrdinary Differential EquationsAttractors

    arXiv:2605.03940v4

  60. Meta-Inverse Physics-Informed Neural Networks for High-Dimensional Ordinary Differential Equations

    May 5, 2026Zhao Wei, Kenneth Hor Cheng Koh, Sheng Yuan Chin +3Parametric Physics-Informed Neural NetworkOrdinary Differential Equations

    Centre for Frontier AI Research (CFAR) and the Institute of High Performance Computing (IHPC), Agency for Science, Technology and Research (A*STAR), 1 Fusionopolis Way, #16-16 Connexis, Singapore 138632, Singapore · Singapore Institute of Food and Biotechnology Innovation (SIFBI), Agency for Science, Technology and Research (A*STAR), 31 Biopolis Way, Nanos, Singapore 138669, Singapore · A*STAR Skin Research Labs (A*SRL), Agency for Science, Technology and Research (A*STAR), 8A Biomedical Grove, Immunos, Singapore 138648, Singapore +1