Symbolic regression

This page was last updated on 2026-08-24 06:20:43 UTC

Manually curated articles on Symbolic regression

Abstract Title Authors Publication Date Journal/ Conference Citation count Highest h-index View recommendations
visibility_off Discovering governing equations from data by sparse identification of nonlinear dynamical systems S. Brunton, J. Proctor, J. Kutz 2015-09-11 Proceedings of the National Academy of Sciences, Proceedings of the National Academy of Sciences of the United States of America 5341 80 open_in_new
visibility_off Robust learning from noisy, incomplete, high-dimensional experimental data via physically constrained symbolic regression Patrick A. K. Reinbold, Logan Kageorge, M. Schatz, R. Grigoriev 2021-02-24 Nature Communications 152 26 open_in_new
visibility_off Data-driven discovery of coordinates and governing equations Kathleen P. Champion, Bethany Lusch, J. Kutz, S. Brunton 2019-03-29 Proceedings of the National Academy of Sciences of the United States of America 1047 80 open_in_new
visibility_off Chaos as an intermittently forced linear system S. Brunton, Bingni W. Brunton, J. Proctor, E. Kaiser, J. Kutz 2016-08-18 Nature Communications 656 80 open_in_new
visibility_off Sparse identification of nonlinear dynamics for model predictive control in the low-data limit E. Kaiser, J. Kutz, S. Brunton 2017-11-15 Proceedings of the Royal Society A, Proceedings. Mathematical, Physical, and Engineering Sciences 694 80 open_in_new
visibility_off Inferring Biological Networks by Sparse Identification of Nonlinear Dynamics N. Mangan, S. Brunton, J. Proctor, J. Kutz 2016-05-26 IEEE Transactions on Molecular, Biological and Multi-Scale Communications, IEEE Transactions on Molecular Biological and Multi-Scale Communications 436 80 open_in_new
visibility_off SINDy-PI: a robust algorithm for parallel implicit sparse identification of nonlinear dynamics Kadierdan Kaheman, J. Kutz, S. Brunton 2020-04-05 Proceedings of the Royal Society A, Proceedings. Mathematical, Physical, and Engineering Sciences 391 80 open_in_new
visibility_off Multidimensional Approximation of Nonlinear Dynamical Systems Patrick Gelß, Stefan Klus, J. Eisert, Christof Schutte 2018-09-07 Journal of Computational and Nonlinear Dynamics 84 27 open_in_new
visibility_off Learning Discrepancy Models From Experimental Data Kadierdan Kaheman, E. Kaiser, B. Strom, J. Kutz, S. Brunton 2019-09-18 ArXiv, arXiv.org 59 80 open_in_new
visibility_off Discovery of Physics From Data: Universal Laws and Discrepancies Brian M. de Silva, D. Higdon, S. Brunton, J. Kutz 2019-06-19 Frontiers in Artificial Intelligence 104 80 open_in_new
visibility_off Ensemble-SINDy: Robust sparse model discovery in the low-data, high-noise limit, with active learning and control Urban Fasel, J. Kutz, Bingni W. Brunton, S. Brunton 2021-11-22 Proceedings of the Royal Society A, Proceedings. Mathematical, Physical, and Engineering Sciences 389 80 open_in_new
visibility_off Learning sparse nonlinear dynamics via mixed-integer optimization D. Bertsimas, Wes Gurnee 2022-06-01 Nonlinear Dynamics 74 99 open_in_new
visibility_off A Unified Framework for Sparse Relaxed Regularized Regression: SR3 P. Zheng, T. Askham, S. Brunton, J. Kutz, A. Aravkin 2018-07-14 IEEE Access 185 80 open_in_new
Abstract Title Authors Publication Date Journal/ Conference Citation count Highest h-index View recommendations

Abstract Title Authors Publication Date Journal/Conference Citation count Highest h-index
visibility_off An Introduction to Sparse Identification of Nonlinear Dynamics for Engineering Applications Y. Li, A. Larrañaga, Steven L. Brunton, Urban Fasel 2026-07-16 ArXiv 0 10
visibility_off Dynamics-aware identification of governing equations from sparse and noisy data Pongpisit Thanasutives, Yoshinobu Kawahara 2026-07-31 ArXiv 0 11
visibility_off Robust Sparse Identification of Nonlinear Dynamics via Least Trimmed Squares F. Amaral, G. N. Grapiglia, C. Oishi 2026-06-26 ArXiv 0 17
visibility_off From data chaos to physically interpretable deterministic mapping Dongni Jia, Shuai Li, Xinyi Zuo, Haibo Shi, Junyi Wang, Xiaofeng Zhou 2026-07-13 Nature Communications 0 16
visibility_off Data-driven linear analysis of dynamical systems via nonlinearity-subtracted dynamic mode decomposition Benjamín Herrmann, Katherine Cao, S. Brunton, B. McKeon 2026-08-13 ArXiv 0 80
visibility_off Joint discovery of governing partial differential equations from multi-source datasets by competitive optimization Hao Xu, Siyu Lou, Yuntian Chen, Dongxiao Zhang 2026-06-29 ArXiv 0 19
visibility_off Dynamic mode decomposition with multiple initial conditions for linearizing nonlinear partial differential equations Kanav Singh Rana, Nitu Kumari 2026-08-03 Engineering with Computers 0 19
visibility_off Attractor Geometry Determines the Identifiability Limits of System Discovery Matteo Gallo, Fabio Anselmi, Paolo Lazzari 2026-07-20 ArXiv 2 4
visibility_off Sparse Identification of Systems with Both Abrupt and Slowly Varying Nonlinear Dynamics * Tore Gude, L. Imsland 2026-07-07 2026 European Control Conference (ECC) 0 1
visibility_off Learning dynamical systems from noisy data with Weak-form Kernel Ridge Regression Max Kreider, John Harlim, Daning Huang 2026-06-30 ArXiv 2 3
visibility_off Identifying nonlinear dynamical systems using subset regression. Weizhen Li, Qiang Fu, Yifan Hong, Haojian Lu 2026-07-15 Scientific reports 0 16
visibility_off CBINN: Cancer Biology-Informed Neural Network for Unknown Parameter Estimation and Missing Physics Identification Bishal Chhetri, B. Kumar 2025-10-20 Bulletin of Mathematical Biology 0 1
visibility_off Neural Discovery of Memory and Nonlocal Kernels in Integro-Differential Equations with Constrained Kolmogorov--Arnold Networks Aruzhan Tleubek, Salah A. Faroughi 2026-07-13 ArXiv 0 2
visibility_off Weak form Scientific Machine Learning for Systems Biology: A Tutorial on WENDy N. Heitzman-Breen, Rainey Lyons, Paras Jain, M. Jolly, David M. Bortz 2026-07-03 bioRxiv 0 61
visibility_off Semi-analytical hierarchical Bayesian inference of nonlinear model structure in stochastic dynamics: Applied to compartmental models of infectious diseases B. Robinson, Philippe Bisaillon, R. Sandhu, Mohammad Khalil, J. Edwards, T. Kendzerska, Thomas Walker, Shirley Mills, C. Pettit, D. Poirel, A. Sarkar 2026-07-10 PLOS One 0 30
visibility_off Differential-Embedding Reconstruction of Dynamical Systems from Scalar Time Series A. Shaa, C. Guet 2026-08-17 ArXiv 0 10
visibility_off Discovering Latent Response Laws in Forced Physical Systems Yi Zhu, Su Chen, Xiaojun Li, Xiuli Du 2026-07-09 ArXiv 0 6
visibility_off Origins and mitigation of double descent in reduced order modeling A. Klishin, J. Kutz, Krithika Manohar 2026-07-29 ArXiv 1 15
visibility_off PRONE: Petrov-Galerkin Operator Learning Unifies DMD, SINDy&Koopmanism Matthew J. Colbrook, April Herwig, J. Kutz 2026-06-26 ArXiv 1 7
visibility_off On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement Baptiste Mathevon, Farah Cherfaoui, Amaury Habrard, M. Sebban 2026-07-26 ArXiv 0 28
visibility_off PDE Identification Using Noise Adaptive Differentiation in Strong Form (S-IDENT) Roy Y. He, S. Kang 2026-06-30 ArXiv 0 3
visibility_off An interpretable data-driven identification of dynamical systems via universal neural ordinary differential equations Qing-Tong Dong 2026-08-03 Engineering Research Express 0 0
visibility_off Learning network topology from partial observations in nonlinear dynamical systems Mingming Xiao, Chengpu Yu 2026-07-01 Nonlinear Dynamics 0 3
visibility_off Freeze, Then Select: Structured Field Adapters and Stability-Validated Weak Selection for PDE Discovery from Sparse Observations Juncheng Zhong, Chen Shen, Jianfeng Liu, Z. Xiao, Longjiu Luo, Qianrong Wang, Wenjun Xu, Wenlian Lu 2026-07-31 ArXiv 0 5
visibility_off Data-Driven Discovery of Multiscale Power System Oscillation Governing Equations Using SINDy-SENDAI Andrea Pomarico, Y. Bao, L. Marš, Salvatore Gao, Tessitore Giorgio Maria, Alberto Giannuzzi, J. Berizzi, Nathan Kutz 2026-07-03 ArXiv 0 14
visibility_off A Data-Assimilation-Augmented Optimization Framework for Parameter Estimation in Dynamical Systems Muhammad Jalil Ahmad, A. Biswas, Kathleen Hoffman 2026-06-28 ArXiv 1 20
visibility_off Structured Neural Chaos: An Adaptive Surrogate Modeling Framework for Functional Uncertainty Quantification and Global Sensitivity Analysis Isabel Corona Guevara, Yeping Hu 2026-07-31 ArXiv 0 2
visibility_off A Mathematical Model for Predicting Complex Dynamic Systems Using Hybrid Computational Approaches G. Em Karniadakis, E. Torfs, Luca Marchetti 2026-07-28 Global Synthesis in Education Journal 0 18
visibility_off Physics-Guided Spectral Parametric Reduced-Order Modeling for Transient Prediction of Controlled Dynamical Systems Ao Zhang, Tianmin Zhang, A. Cammi, Xiang Wang 2026-07-20 ArXiv 0 38
visibility_off Augmented-state-space-based nonparametric dynamical modeling of non-autonomous nonlinear systems Pengpeng Liu, Yang Guo, Yegao Qu 2026-07-01 Nonlinear Dynamics 0 6
visibility_off Hybrid Analytical Numerical and Machine Learning Frameworks for Solving Deterministic and Stochastic Differential Equations with Stability, Convergence, and Uncertainty Quantification Suresh Kumar Sahani 2026-07-23 Journal of Intelligent Decision Making and Information Science 2 3
visibility_off KOOPMAN-Luenberger Observer Design for Nonlinear Systems with Application to the Monitoring of a Latent Thermal Energy Storage M. Habib, Dario Aguiar, Esther Kieseritzky, T. Barz, Qian Wang 2026-08-11 ArXiv 0 22
visibility_off Physics informed bidirectional LSTM for Bayesian guided grey box modeling of nonlinear dynamical systems L. J, V. T., Gayathri S. Menon 2026-07-14 Engineering Research Express 0 4
visibility_off RTS Smoother-Guided Learning of Physics-Based Neural Differential Models Ahmet Demirkaya, Georgios Stratis, Tales Imbiriba, Zachary C. Danziger, Deniz Erdoğmuş 2026-07-16 ArXiv 0 18
visibility_off Koopman operator theory: fundamentals, control, and applications Igor Mezic, Jorge Cort'es, K. Worthmann, Mircea Lazar, Armin Lederer 2026-07-02 ArXiv 2 19
visibility_off Robustness of data assimilation algorithms for reconstructing and forecasting the flow over a surface-mounted prism from sparse data Shengqi Lu, G. Papadakis 2026-07-23 Data-Centric Engineering 0 30
visibility_off Data-Adaptive Learning of Dynamical Systems by Matching Transfer Operators and Invariant Measures Yinong Huang, Jonah Botvinick-Greenhouse, Yunan Yang 2026-07-01 ArXiv 0 4
visibility_off Manifold-adapted radial basis functions for reduced-order modelling of chaotic flows Miguel Pérez Cuadrado, Giorgio Maria Cavallazzi, Alfredo Pinelli 2026-07-09 ArXiv 0 2
visibility_off Learning piecewise-smooth dynamical systems D. Murari, Erik Jansson, Chris Budd Obe, C. Schönlieb 2026-08-20 ArXiv 0 52
visibility_off Modelisation of chaotic systems with a latent Stochastic Differential Equation Ismaël Zighed, Nicolas Thome, Patrick Gallinari, T. Sayadi 2026-08-04 ArXiv 0 14
visibility_off Overcoming error-in-variable or stiffness problem in SINDy-like data-driven model discovery L. Fung 2026-07-18 ACM Transactions on AI for Science 0 7
visibility_off Data-driven reconstruction of dynamical systems using Takens'Theorem, manifold learning, and universal function approximators Maximilian Topel, Andrew L. Ferguson 2026-08-05 ArXiv 0 13
Abstract Title Authors Publication Date Journal/Conference Citation count Highest h-index