Parameter Estimation

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Overview

Parameter estimation uses observed data to infer the unknown settings that govern a model, enabling prediction, scientific explanation, and control. Approaches range from maximum likelihood and Bayesian methods to simulation-based inference, gradient or evolutionary optimization, and physics-informed neural networks that embed known equations. Researchers apply these tools to noisy, incomplete observations in settings such as dynamical systems, medical models, imaging, and scientific simulations, often estimating uncertainty as well as a best-fit value. A central challenge is that good predictions do not guarantee that parameters are uniquely or accurately identified, especially with sparse data, model mismatch, or costly simulations.

Latest papers

CardsList

144 papers20 papers in the last four weeks, up 67% on the four weeks before. 0.1% of all new papers.

  1. KPPax: preprocess differentiable kinetic ODE for machine learning in atmospheric chemistry

    Oct 27, 2026Wenqing Peng, Michael Boy, Zhi-Song LiuDifferentiable ProgrammingParameter Estimation

    Institute for Atmospheric and Earth Systems Research, University of Helsinki, Helsinki, Finland · Atmospheric Modelling Centre Lahti (AMC-Lahti), Lahti, Finland · LUT University, Department of Computational Engineering, Lahti, Finland

  2. Prediction Is Not Calibration: Item Parameter Recovery and Representation Coupling in Knowledge Tracing

    Oct 21, 2026Wenrui Yuan, Stéphanie M. van den Berg, Johannes SteinrückeKnowledge TracingParameter Estimation

    University of Twente, Enschede, The Netherlands

  3. A unified approach for estimation of unnormalized models via Stein operators

    Oct 21, 2026Mitsuki Nagai, Keisuke YanoParameter EstimationProper Scoring Rules

    Graduate Institute for Advanced Studies, SOKENDAI · The Institute of Statistical Mathematics

  4. Rethinking Magnitude Compression in Spectral Losses for DDSP Parameter Estimation

    Oct 16, 2026Byunghoo Park, Jayeon Yi, Minje KimParameter Estimation

    University of Illinois Urbana-Champaign, Siebel School of Computing and Data Science, USA 61801

  5. Inertially Significant Humanoid Teleoperation via Whole Body Model Predictive Control and Online Parameter Estimation

    Oct 15, 2026James Foster, Beomyeong Park, Luigi Penco +1Humanoid Robot ControlRobot Teleoperation

    Robotics Lab, Florida Institute for Human & Machine Cognition, USA · Intelligent Systems & Robotics, University of West Florida, USA

  6. Sequential Learning-Based Physics-Informed Neural Network Modeling for Parameter Estimation on a Power Converter

    Oct 14, 2026Samuela Rokocakau, Panagiotis Kakosimos, Giulia Tresca +1Parameter EstimationPhysics-Informed ML

    ABB Corporate Research Center, Väster˚as, Sweden · Dept. of Electrical, Computer and Biomedical Engineering, University of Pavia, Pavia, Italy

  7. Conformalized Physics-Informed Weak Regression for Parameter Estimation in Epidemic Models

    Oct 13, 2026Allan Peter Engsig-KarupSpatial Epidemic ModelingParameter Estimation

    Department of Applied Mathematics and Computer Science, Technical University of Denmark, Kongens Lyngby, Denmark

  8. Learning Distributions from Samples and Qualities

    Oct 13, 2026Marc Jourdan, Nicolas FlammarionParameter Estimation

    EPFL, Lausanne, Switzerland

  9. TorchSpin: Differentiable Electron Paramagnetic Resonance Simulation in PyTorch

    Oct 12, 2026Alec H. FollmerMagnetic Resonance SpectroscopyDifferentiable Physics

    Department of Chemistry, University of California, Davis, Davis, California 95616, United States · Linac Coherent Light Source, SLAC National Accelerator Laboratory, Menlo Park, California 94025, United States

  10. Universal Distributed Feature Extraction Complementary to Side Information via H-Score

    Oct 12, 2026Yuan Xinjie, Dier Tang, Shao-Lun HuangRepresentation LearningParameter Estimation

    Tsinghua Shenzhen International Graduate School, Tsinghua University, Shenzhen, China · Department of Mathematics, The University of Hong Kong, Hong Kong, China

  11. Learning consistent molecular mechanics force fields from first principles

    Oct 6, 2026Berkay Günes, Leif Seute, Jigyasa Nigam +1Parameter EstimationMolecular Dynamics Simulation

    Max Planck Institute for Polymer Research Mainz, Germany · Heidelberg University, Germany · Heidelberg Institute for Theoretical Studies, Germany +1

  12. Parameter Estimation in Machining Dynamics with Regenerative Delay and Nonsmooth Friction using Physics-Informed Neural Networks

    Oct 5, 2026Meiyazhagan Jaganathan, Vikram Pakrashi, Aasifa RounakDynamical SystemsParameter Estimation

    UCD Centre for Mechanics, Dynamical Systems and Risk Laboratory, School of Mechanical and Materials Engineering, University College Dublin, D04 V1W8, Dublin, Ireland

  13. Learning Decision-Stump Thresholds in Context: Dynamics of Softmax Attention

    Oct 5, 2026Hong Ha Le, Jackie Lok, Atsushi Nitanda +1Language Model PretrainingSoftmax Attention

    National University of Singapore · Princeton University · Nanyang Technological University

  14. Data Fusion for Errors-in-Variables

    Oct 5, 2026Huali Zhao, Molei Liu, Tianying WangData FusionParameter Estimation

    School of Mathematics and Statistics, Huazhong University of Science and Technology · Department of Biostatistics, Peking University Health Science Center; Beijing International Center for Mathematical Research, Peking University · Department of Statistics, Colorado State University

  15. Gated Graph Neural Networks for Learning Hidden Independent Cascade Dynamics

    Oct 2, 2026Anubha Goel, Illia Oleksiienko, Mateusz Wilinski +2Parameter EstimationGraph Neural Networks

  16. Inference for stochastic differential equations driven by weighted sub-fractional Brownian motion using neural networks and the Euler approximation

    Sep 30, 2026J. H. Ramirez-GonzalezParameter EstimationStochastic Differential Equations

    Institute of Mathematics and Statistics, University of São Paulo (IME–USP), São Paulo, Brazil

  17. On Parameters of Nonlinear Scalar Dynamics from Video: Invariants, Calibration, and Identifiability

    Sep 30, 2026Wenjie Wang, Yuanyuan Wang, Zixiang Jiang +2Parameter EstimationParameter Identifiability

    University of Melbourne · Mohamed bin Zayed University of Artificial Intelligence · Carnegie Mellon University

  18. Hybrid Joint-Selective Optimization: Reduced-Space Levenberg-Marquardt Refinement of Low-Dimensional Parameters of Interest

    Sep 29, 2026Muhammad Luthfi Shahab, Gabriella Alfa Indahsari, Imam Mukhlash +1Parameter EstimationSecond-Order Optimization

    Department of Mathematics, Institut Teknologi Sepuluh Nopember, Surabaya, 60111, Indonesia · Department of Mathematics, Khalifa University of Science & Technology, Abu Dhabi, PO Box 127788, United Arab Emirates

  19. Explainable Machine Learning for Multilayer Planar Winding Inductance Estimation

    Sep 29, 2026Spyros Rigas, Theofilos Papadopoulos, Georgios Alexandridis +1Parameter EstimationSurrogate Modeling

    Department of Digital Industry Technologies, National and Kapodistrian University of Athens, Greece · School of Electrical and Computer Engineering, National Technical University of Athens, Greece

  20. Simulation-Based Inference for Plate Reverb System Identification

    Sep 28, 2026Dylan Sechet, Marc Evrard, Matthieu KowalskiParameter EstimationBayesian Inverse Problems

    Laboratoire Interdisciplinaire des Sciences du Numérique Université Paris-Saclay, Inria, CNRS, CentraleSupélec

  21. Uncertainty Quantification in Cardiac Model Personalisation from Ultrafast Ultrasound

    Sep 28, 2026Camilla Ferrario, Maelys Venet, Olivier Villemain +1Parameter EstimationUncertainty Quantification

    CHU Bordeaux · EPIONE

  22. Synth-JEPA: Joint Embedding Prediction for Renderer-Free Synthesizer Parameter Search

    Sep 25, 2026Ben Hayes, Haokun Tian, Stefan LattnerAudio Representation LearningJoint-Embedding Predictive Architecture

    Sony Computer Science Laboratories, Paris, France · Queen Mary University of London, UK

  23. Parameter Estimation for Unnormalized Discrete Models via Empirically Localized Deformed Bregman Divergence

    Sep 25, 2026Takashi TakenouchiParameter Estimation

    National Graduate Institute for Policy Studies (GRIPS) and Riken AIP

  24. Error Bounds for Statistical Estimators in BTL Model with Parametric Multivariate Utility Functions

    Sep 22, 2026Yicheng Li, Huifu XuParameter EstimationMinimax Estimation

    Department of Systems Engineering and Engineering Management, The Chinese University of Hong Kong.

  25. Statistical Gains from Looped Estimation under Parameter Budgets

    Sep 22, 2026Xinyu Tian, Xiaotong ShenParameter EstimationParameter Sharing

    School of Statistics, University of Minnesota

  26. One Intervention per Component is Enough: Towards Identifiability in Linear Stochastic Dynamics from Steady State

    Sep 17, 2026Saber SalehkaleybarParameter EstimationStochastic Differential Equations

    Leiden Institute of Advanced Computer Science, Leiden University, The Netherlands

  27. Evaluation of optimisation and Bayesian inference methods for reaction rates in atmospheric chemical mechanisms

    Sep 13, 2026Valery Ashu, Wenqing Peng, Zhi-Song Liu +7Parameter EstimationBayesian Inverse Problems

    Department of Computational Engineering, LUT University, 15210, Lahti, Finland · Atmospheric Modelling Center-Lahti, 15140, 15140, Lahti, Finland · Institute for Atmospheric and Earth System Research / Physics, Faculty of Science, University of Helsinki, 00014, Helsinki, Finland +2

  28. Differentiable Digital Signal Processing Mixture Model-Guided Diffusion for Synthesis Parameter Estimation from Harmonic Sound Mixtures

    Sep 13, 2026Kengo Takemoto, Tomohiko Nakamura, Hiroshi SaruwatariParameter EstimationAudio Source Separation

    The University of Tokyo, Tokyo, Japan · National Institute of Advanced Industrial Science and Technology (AIST), Tokyo, Japan

  29. Parameter Estimation of Ringdown Quasinormal Modes with Autoencoder

    Sep 13, 2026Momoka Iida, Hayato Motohashi, Hirotaka TakahashiParameter EstimationGravitational-Wave Astronomy

    Graduate School of Integrative Science and Engineering, Tokyo City University, 1-28-1 Tamazutsumi, Setagaya-ku, Tokyo 158-8557, Japan · Research Center for Space Science, Advanced Research Laboratories, Tokyo City University, 1-28-1 Tamazutsumi, Setagaya-ku, Tokyo 158-8557, Japan · Department of Physics, Graduate School of Science, Tokyo Metropolitan University, 1-1 Minami-Osawa, Hachioji, Tokyo 192-0397, Japan +2

  30. Generalised Score Matching on Convex Domains

    Sep 10, 2026Nishanth Shetty, Saisuchith Mahajan, Chandra Sekhar SeelamantulaScore MatchingParameter Estimation

    Department of Electrical Engineering Indian Institute of Science, Bengaluru 560012