Koopman operator
This page was last updated on 2024-07-17 08:46:42 UTC
Manually curated articles on Koopman operator
| Abstract | Title | Authors | Publication Date | Journal/ Conference | Citation count | Highest h-index | View recommendations | 
|---|---|---|---|---|---|---|---|
| visibility_off | Hamiltonian Systems and Transformation in Hilbert Space. | B. O. Koopman | 1931-05-01 | Proceedings of the National Academy of Sciences of the United States of America | 1661 | 18 | open_in_new | 
| visibility_off | Applied Koopmanism. | M. Budišić, Ryan Mohr, I. Mezić | 2012-06-14 | Chaos | 724 | 49 | open_in_new | 
| visibility_off | Koopman Invariant Subspaces and Finite Linear Representations of Nonlinear Dynamical Systems for Control | S. Brunton, Bingni W. Brunton, J. Proctor, J. Kutz | 2015-10-11 | PLoS ONE | 451 | 63 | open_in_new | 
| visibility_off | Deep learning for universal linear embeddings of nonlinear dynamics | Bethany Lusch, J. Kutz, S. Brunton | 2017-12-27 | Nature Communications | 986 | 63 | open_in_new | 
| visibility_off | Deep learning models for global coordinate transformations that linearise PDEs | Craig Gin, Bethany Lusch, S. Brunton, J. Kutz | 2019-11-07 | European Journal of Applied Mathematics | 31 | 63 | open_in_new | 
| visibility_off | From Fourier to Koopman: Spectral Methods for Long-term Time Series Prediction | Henning Lange, S. Brunton, N. Kutz | 2020-04-01 | J. Mach. Learn. Res., Journal of machine learning research | 58 | 63 | open_in_new | 
| visibility_off | Modern Koopman Theory for Dynamical Systems | S. Brunton, M. Budišić, E. Kaiser, J. Kutz | 2021-02-24 | SIAM Review, SIAM Rev. | 271 | 63 | open_in_new | 
| visibility_off | Parsimony as the ultimate regularizer for physics-informed machine learning | J. Kutz, S. Brunton | 2022-01-20 | Nonlinear Dynamics | 26 | 63 | open_in_new | 
| Abstract | Title | Authors | Publication Date | Journal/ Conference | Citation count | Highest h-index | View recommendations | 
Recommended articles on Koopman operator
| Abstract | Title | Authors | Publication Date | Journal/Conference | Citation count | Highest h-index | 
|---|---|---|---|---|---|---|
| visibility_off | Data-Driven Linearization of Dynamical Systems | George Haller, B. Kasz'as | 2024-07-11 | ArXiv | 0 | 0 | 
| visibility_off | Limits and Powers of Koopman Learning | Matthew J. Colbrook, Igor Mezi'c, Alexei Stepanenko | 2024-07-08 | ArXiv | 0 | 16 | 
| visibility_off | Koopman-LQR Controller for Quadrotor UAVs from Data | Zeyad M. Manaa, Ayman M. Abdallah, Mohammad A. Abido, Syed S. Azhar Ali | 2024-06-25 | ArXiv | 0 | 1 | 
| visibility_off | Data-Driven Control of Linear Parabolic Systems using Koopman Eigenstructure Assignment | Member Ieee Joachim Deutscher | 2024-06-29 | ArXiv | 0 | 0 | 
| visibility_off | Analytic Extended Dynamic Mode Decomposition | A. Mauroy, Igor Mezic | 2024-05-24 | ArXiv | 0 | 15 | 
| visibility_off | Learning dynamical systems from data: An introduction to physics-guided deep learning | Rose Yu, Rui Wang | 2024-06-24 | Proceedings of the National Academy of Sciences of the United States of America | 1 | 1 | 
| visibility_off | Shallow Recurrent Decoder for Reduced Order Modeling of Plasma Dynamics | J. Kutz, M. Reza, F. Faraji, A. Knoll | 2024-05-20 | ArXiv | 1 | 31 | 
| visibility_off | Principal Component Flow Map Learning of PDEs from Incomplete, Limited, and Noisy Data | Victor Churchill | 2024-07-15 | ArXiv | 0 | 0 | 
| visibility_off | Learning nonlinear operators in latent spaces for real-time predictions of complex dynamics in physical systems | Katiana Kontolati, S. Goswami, G. Em Karniadakis, Michael D Shields | 2024-06-14 | Nature Communications | 0 | 19 | 
| visibility_off | On instabilities in neural network-based physics simulators | Daniel Floryan | 2024-06-18 | ArXiv | 0 | 0 | 
| visibility_off | Recurrent Deep Kernel Learning of Dynamical Systems | N. Botteghi, Paolo Motta, Andrea Manzoni, P. Zunino, Mengwu Guo | 2024-05-30 | ArXiv | 0 | 6 | 
| visibility_off | Linearization Turns Neural Operators into Function-Valued Gaussian Processes | Emilia Magnani, Marvin Pförtner, Tobias Weber, Philipp Hennig | 2024-06-07 | ArXiv | 0 | 3 | 
| visibility_off | System stabilization with policy optimization on unstable latent manifolds | Steffen W. R. Werner, B. Peherstorfer | 2024-07-08 | ArXiv | 0 | 27 | 
| visibility_off | VENI, VINDy, VICI: a variational reduced-order modeling framework with uncertainty quantification | Paolo Conti, Jonas Kneifl, Andrea Manzoni, A. Frangi, Jörg Fehr, S. Brunton, J. Kutz | 2024-05-31 | ArXiv | 0 | 63 | 
| visibility_off | Physically Analyzable AI-Based Nonlinear Platoon Dynamics Modeling During Traffic Oscillation: A Koopman Approach | Kexin Tian, Haotian Shi, Yang Zhou, Sixu Li | 2024-06-20 | ArXiv | 0 | 6 | 
| visibility_off | Continuum Attention for Neural Operators | Edoardo Calvello, Nikola B. Kovachki, Matthew E. Levine, Andrew M. Stuart | 2024-06-10 | ArXiv | 0 | 20 | 
| visibility_off | Data-driven optimal prediction with control | Aleksandr Katrutsa, Ivan V. Oseledets, Sergey Utyuzhnikov | 2024-06-04 | ArXiv | 0 | 4 | 
| visibility_off | Variability of SST through Koopman modes | Antonio Navarra, Joe Tribbia, Stefan Klus, Paula Lorenzo-Sánchez | 2024-06-03 | Journal of Climate | 0 | 0 | 
| visibility_off | Neural empirical interpolation method for nonlinear model reduction | Max Hirsch, F. Pichi, J. Hesthaven | 2024-06-05 | ArXiv | 0 | 64 | 
| visibility_off | Predicting AI Agent Behavior through Approximation of the Perron-Frobenius Operator | Shiqi Zhang, D. Gadginmath, Fabio Pasqualetti | 2024-06-04 | ArXiv | 0 | 3 | 
| visibility_off | Metric-Entropy Limits on Nonlinear Dynamical System Learning | Yang Pan, Clemens Hutter, Helmut Bolcskei | 2024-07-01 | ArXiv | 0 | 2 | 
| visibility_off | Minimum Reduced-Order Models via Causal Inference | Nan Chen, Honghu Liu | 2024-06-29 | ArXiv | 0 | 0 | 
| visibility_off | On the dynamics of convolutional recurrent neural networks near their critical point | Aditi Chandra, M. Magnasco | 2024-05-22 | ArXiv | 1 | 42 | 
| visibility_off | From Biased to Unbiased Dynamics: An Infinitesimal Generator Approach | Timothée Devergne, Vladimir Kostic, Michele Parrinello, Massimiliano Pontil | 2024-06-13 | ArXiv | 0 | 1 | 
| visibility_off | Random features approximation for control-affine systems | Kimia Kazemian, Yahya Sattar, Sarah Dean | 2024-06-10 | ArXiv | 0 | 1 | 
| visibility_off | Entropic Regression DMD (ERDMD) Discovers Informative Sparse and Nonuniformly Time Delayed Models | Christopher W. Curtis, Erik Bollt, D. J. Alford-Lago | 2024-06-17 | ArXiv | 0 | 2 | 
| visibility_off | Data-Driven Computing Methods for Nonlinear Physics Systems with Geometric Constraints | Yunjin Tong | 2024-06-20 | ArXiv | 0 | 0 | 
| visibility_off | Reduced-Order Neural Operators: Learning Lagrangian Dynamics on Highly Sparse Graphs | Hrishikesh Viswanath, Yue Chang, Julius Berner, Peter Yichen Chen, Aniket Bera | 2024-07-04 | ArXiv | 0 | 28 | 
| visibility_off | Analog Data-Driven Theory and Estimation of the Region of Attraction Using Sampled-Data | Karthik Shenoy, Arvind Ragghav, V. Chellaboina | 2024-07-11 | ArXiv | 0 | 30 | 
| visibility_off | CoNO: Complex Neural Operator for Continous Dynamical Physical Systems | Karn Tiwari, N. M. A. Krishnan, P. PrathoshA | 2024-06-01 | ArXiv | 0 | 0 | 
| visibility_off | Sparsifying dimensionality reduction of PDE solution data with Bregman learning | T. J. Heeringa, Christoph Brune, Mengwu Guo | 2024-06-18 | ArXiv | 0 | 1 | 
| visibility_off | WgLaSDI: Weak-Form Greedy Latent Space Dynamics Identification | Xiaolong He, April Tran, David M. Bortz, Youngsoo Choi | 2024-06-29 | ArXiv | 0 | 3 | 
| visibility_off | Deep Bayesian Filter for Bayes-faithful Data Assimilation | Yuta Tarumi, Keisuke Fukuda, Shin-ichi Maeda | 2024-05-29 | ArXiv | 0 | 0 | 
| visibility_off | Sparse identification of quasipotentials via a combined data-driven method | Bo Lin, P. Belardinelli | 2024-07-06 | ArXiv | 0 | 12 | 
| visibility_off | Machine Learning Conservation Laws of Dynamical systems | Meskerem Abebaw Mebratie, Rudiger Nather, Guido Falk von Rudorff, Werner M. Seiler | 2024-05-31 | ArXiv | 0 | 5 | 
| visibility_off | Physics-constrained learning for PDE systems with uncertainty quantified port-Hamiltonian models | Kaiyuan Tan, Peilun Li, Thomas Beckers | 2024-06-17 | DBLP, ArXiv | 0 | 1 | 
| visibility_off | Galerkin Neural Network-POD for Acoustic and Electromagnetic Wave Propagation in Parametric Domains | Philipp Weder, Mariella Kast, Fernando Henr'iquez, J. Hesthaven | 2024-06-19 | ArXiv | 0 | 64 | 
| visibility_off | An overview of systems-theoretic guarantees in data-driven model predictive control | J. Berberich, Frank Allgöwer | 2024-06-06 | ArXiv | 0 | 21 | 
| visibility_off | Spectral-Refiner: Fine-Tuning of Accurate Spatiotemporal Neural Operator for Turbulent Flows | Shuhao Cao, Francesco Brarda, Ruipeng Li, Yuanzhe Xi | 2024-05-27 | ArXiv | 0 | 1 | 
| visibility_off | Identifying the onset and decay of quasi-stationary families of almost-invariant sets with an application to atmospheric blocking events | Aleksandar Badza, Gary Froyland School of Mathematics, Statistics Unsw Sydney Nsw Australia | 2024-07-09 | ArXiv | 0 | 0 | 
| visibility_off | Identification of Recurrent Dynamics in Distributed Neural Populations | R. Osuna-Orozco, Edward Castillo, K. Harris, Samantha R. Santacruz | 2024-06-01 | bioRxiv | 0 | 15 | 
| visibility_off | Modeling Unknown Stochastic Dynamical System Subject to External Excitation | Yuan Chen, Dongbin Xiu | 2024-06-22 | ArXiv | 0 | 1 | 
| visibility_off | From Fourier to Neural ODEs: Flow Matching for Modeling Complex Systems | Xin Li, Jingdong Zhang, Qunxi Zhu, Chengli Zhao, Xue Zhang, Xiaojun Duan, Wei Lin | 2024-05-19 | ArXiv | 0 | 12 | 
| visibility_off | Closed-form Symbolic Solutions: A New Perspective on Solving Partial Differential Equations | Shu Wei, Yanjie Li, Lina Yu, Min Wu, Weijun Li, Meilan Hao, Wenqiang Li, Jingyi Liu, Yusong Deng | 2024-05-23 | ArXiv | 0 | 13 | 
| visibility_off | Machine learning of discrete field theories with guaranteed convergence and uncertainty quantification | Christian Offen | 2024-07-10 | ArXiv | 0 | 0 | 
| visibility_off | Understanding the dynamics of the frequency bias in neural networks | Juan Molina, Mircea Petrache, F. S. Costabal, Mat'ias Courdurier | 2024-05-23 | ArXiv | 0 | 12 | 
| visibility_off | Extended dynamic mode decomposition for model reduction in fluid dynamics simulations | G. Libero, Alessia Chiofalo, V. Ciriello, D. Tartakovsky | 2024-06-01 | Physics of Fluids | 0 | 47 | 
| visibility_off | A new hybrid reduced order modeling for parametrized Navier–Stokes equations in stream-vorticity formulation | Tao Zhang, Hui Xu, Lei Guo, Xinlong Feng | 2024-06-01 | Physics of Fluids | 0 | 2 | 
| visibility_off | Partial observation can induce mechanistic mismatches in data-constrained models of neural dynamics | William Qian, Jacob A. Zavatone-Veth, Benjamin S. Ruben, C. Pehlevan | 2024-05-26 | bioRxiv | 0 | 24 | 
| visibility_off | KAN-ODEs: Kolmogorov-Arnold Network Ordinary Differential Equations for Learning Dynamical Systems and Hidden Physics | Benjamin C. Koenig, Suyong Kim, Sili Deng | 2024-07-05 | ArXiv | 0 | 2 | 
| visibility_off | Iterative Sparse Identification of Nonlinear Dynamics | Jinho Choi | 2024-06-06 | ArXiv | 0 | 0 | 
| visibility_off | Iterative Learning Control of Fast, Nonlinear, Oscillatory Dynamics (Preprint) | John W. Brooks, Christine M. Greve | 2024-05-30 | ArXiv | 0 | 0 | 
| visibility_off | Symmetry-Informed Governing Equation Discovery | Jianwei Yang, Wang Rao, Nima Dehmamy, R. Walters, Rose Yu | 2024-05-27 | ArXiv | 0 | 20 | 
| visibility_off | Combining Neural Networks and Symbolic Regression for Analytical Lyapunov Function Discovery | Jie Feng, Haohan Zou, Yuanyuan Shi | 2024-06-21 | ArXiv | 0 | 0 | 
| visibility_off | Non-intrusive reduced-order model for time-dependent stochastic partial differential equations utilizing dynamic mode decomposition and polynomial chaos expansion. | Shuman Wang, Afshan Batool, Xiang Sun, Xiaomin Pan | 2024-07-01 | Chaos | 0 | 7 | 
| visibility_off | Dynamic Mode Decomposition with Gaussian Process Regression for Control of High-Dimensional Nonlinear Systems | Alexandros Tsolovikos, E. Bakolas, David Goldstein | 2024-05-24 | Journal of Dynamic Systems, Measurement and Control | 1 | 19 | 
| visibility_off | Neural Green's Operators for Parametric Partial Differential Equations | Hugo Melchers, Joost Prins, Michael Abdelmalik | 2024-06-04 | ArXiv | 1 | 0 | 
| visibility_off | Convergence, optimization and stability of singular eigenmaps | Bernard Akwei, Bobita Atkins, Rachel Bailey, Ashka Dalal, Natalie Dinin, Jonathan Kerby-White, Tess McGuinness, Tonya Patricks, Luke Rogers, Genevieve Romanelli, Yiheng Su, Alexander Teplyaev | 2024-06-27 | ArXiv | 0 | 0 | 
| visibility_off | The Internal Model Principle of Time-Varying Optimization | G. Bianchin, Bryan Van Scoy | 2024-07-10 | ArXiv | 0 | 11 | 
| visibility_off | Gaussian Measures Conditioned on Nonlinear Observations: Consistency, MAP Estimators, and Simulation | Yifan Chen, Bamdad Hosseini, H. Owhadi, Andrew M. Stuart | 2024-05-21 | ArXiv | 0 | 36 | 
| visibility_off | Complex harmonics reveal low-dimensional manifolds of critical brain dynamics | G. Deco, Y. Perl, M. Kringelbach | 2024-06-16 | bioRxiv | 0 | 13 | 
| visibility_off | How Inductive Bias in Machine Learning Aligns with Optimality in Economic Dynamics | Mahdi Ebrahimi Kahou, James Yu, Jesse Perla, Geoff Pleiss | 2024-06-04 | ArXiv | 0 | 2 | 
| visibility_off | Online Time-Informed Kinodynamic Motion Planning of Nonlinear Systems | Fei Meng, Jianbang Liu, Hao-bin Shi, Han Ma, Hongliang Ren, Max Q.-H. Meng | 2024-07-03 | ArXiv | 0 | 13 | 
| visibility_off | Stochastic modeling of stationary scalar Gaussian processes in continuous time from autocorrelation data | Martin Hanke | 2024-06-24 | Advances in Computational Mathematics | 0 | 0 | 
| visibility_off | Beyond Euclid: An Illustrated Guide to Modern Machine Learning with Geometric, Topological, and Algebraic Structures | S. Sanborn, Johan Mathe, Mathilde Papillon, Domas Buracas, Hansen Lillemark, Christian Shewmake, Abby Bertics, Xavier Pennec, Nina Miolane | 2024-07-12 | ArXiv | 0 | 7 | 
| visibility_off | An Advanced Physics-Informed Neural Operator for Comprehensive Design Optimization of Highly-Nonlinear Systems: An Aerospace Composites Processing Case Study | Milad Ramezankhani, A. Deodhar, Rishi Parekh, Dagnachew Birru | 2024-06-20 | ArXiv | 0 | 7 | 
| visibility_off | Long short-term memory (LSTM) neural networks for predicting dynamic responses and application in piezoelectric energy harvesting | Yabin Liao, Feng Qian, Ruiyang Zhang, Priyanshu Kumar | 2024-05-24 | Smart Materials and Structures | 0 | 0 | 
| visibility_off | HiPPO-Prophecy: State-Space Models can Provably Learn Dynamical Systems in Context | Federico Arangath Joseph, K. Haefeli, Noah Liniger, Caglar Gulcehre | 2024-07-12 | ArXiv | 0 | 3 | 
| visibility_off | A Data-Driven Approach to Set-Theoretic Model Predictive Control for Nonlinear Systems | Francesco Giannini, Domenico Famularo | 2024-06-23 | Information | 0 | 0 | 
| visibility_off | Reservoir History Matching of the Norne field with generative exotic priors and a coupled Mixture of Experts - Physics Informed Neural Operator Forward Model | C. Etienam, Juntao Yang, O. Ovcharenko, Issam Said | 2024-06-02 | ArXiv | 0 | 4 | 
| visibility_off | Identifying Ordinary Differential Equations for Data-efficient Model-based Reinforcement Learning | Tobias Nagel, Marco F. Huber | 2024-06-28 | ArXiv | 0 | 2 | 
| visibility_off | Physics-informed deep learning and compressive collocation for high-dimensional diffusion-reaction equations: practical existence theory and numerics | Simone Brugiapaglia, N. Dexter, Samir Karam, Weiqi Wang | 2024-06-03 | ArXiv | 1 | 9 | 
| visibility_off | Identifying latent state transition in non-linear dynamical systems | cCauglar Hizli, cCaugatay Yildiz, Matthias Bethge, ST John, Pekka Marttinen | 2024-06-05 | ArXiv | 0 | 2 | 
| visibility_off | Lagrangian Neural Networks for Reversible Dissipative Evolution | V. Sundararaghavan, Megna N. Shah, Jeff P. Simmons | 2024-05-23 | ArXiv | 0 | 32 | 
| visibility_off | Kronecker-Factored Approximate Curvature for Physics-Informed Neural Networks | Felix Dangel, Johannes Müller, Marius Zeinhofer | 2024-05-24 | ArXiv | 0 | 6 | 
| visibility_off | Expressive Symbolic Regression for Interpretable Models of Discrete-Time Dynamical Systems | Adarsh Iyer, N. Boddupalli, Jeff Moehlis | 2024-06-05 | ArXiv | 0 | 5 | 
| visibility_off | Symmetries in Overparametrized Neural Networks: A Mean-Field View | Javier Maass Mart'inez, Joaquin Fontbona | 2024-05-30 | ArXiv | 0 | 0 | 
| visibility_off | Godunov Loss Functions for Modelling of Hyperbolic Conservation Laws | R. G. Cassia, R. Kerswell | 2024-05-19 | ArXiv | 0 | 44 | 
| visibility_off | Error estimates of physics-informed neural networks for approximating Boltzmann equation | E. Abdo, Lihui Chai, Ruimeng Hu, Xu Yang | 2024-07-11 | ArXiv | 0 | 1 | 
| visibility_off | Stochastic Optimal Control for Diffusion Bridges in Function Spaces | Byoungwoo Park, Jungwon Choi, Sungbin Lim, Juho Lee | 2024-05-31 | ArXiv | 0 | 1 | 
| visibility_off | Nonlinear compressive reduced basis approximation for multi-parameter elliptic problem | Christophe Prud'Homme, Yvon Maday, Hassan Ballout | 2024-07-04 | ArXiv | 0 | 4 | 
| visibility_off | Addressing the Non-perturbative Regime of the Quantum Anharmonic Oscillator by Physics-Informed Neural Networks | Lorenzo Brevi, Antonio Mandarino, Enrico Prati | 2024-05-22 | ArXiv | 0 | 0 | 
| visibility_off | Exploiting Chaotic Dynamics as Deep Neural Networks | Shuhong Liu, Nozomi Akashi, Qingyao Huang, Yasuo Kuniyoshi, Kohei Nakajima | 2024-05-29 | ArXiv | 1 | 8 | 
| visibility_off | Tensor-Based Data-Driven Identification of Partial Differential Equations | Wanting Lin, Xiaofan Lu, Linan Zhang | 2024-06-10 | Journal of Computational and Nonlinear Dynamics | 0 | 1 | 
| visibility_off | MBD-NODE: Physics-informed data-driven modeling and simulation of constrained multibody systems | Jingquan Wang, Shu Wang, H. Unjhawala, Jinlong Wu, D. Negrut | 2024-07-11 | ArXiv | 0 | 28 | 
| visibility_off | Model Updating for Nonlinear Systems with Stability Guarantees | Farhad Ghanipoor, C. Murguia, Peyman Mohajerin Esfahani, N. Wouw | 2024-06-10 | ArXiv | 0 | 47 | 
| visibility_off | Data‐driven variational method for discrepancy modeling: Dynamics with small‐strain nonlinear elasticity and viscoelasticity | Arif Masud, Shoaib A. Goraya | 2024-07-04 | International Journal for Numerical Methods in Engineering | 0 | 3 | 
| visibility_off | Model fusion for efficient learning of nonlinear dynamical systems | Vatsal Kedia, Vivek S. Pinnamaraju, Dinesh Patil | 2024-06-06 | ArXiv | 0 | 2 | 
| visibility_off | Inferring stochastic low-rank recurrent neural networks from neural data | Matthijs Pals, A. E. Saugtekin, Felix Pei, Manuel Gloeckler, J. H. Macke | 2024-06-24 | ArXiv | 0 | 3 | 
| visibility_off | DeepOKAN: Deep Operator Network Based on Kolmogorov Arnold Networks for Mechanics Problems | D. Abueidda, Panos Pantidis, M. Mobasher | 2024-05-29 | ArXiv | 7 | 24 | 
| visibility_off | Fundamental limits of weak learnability in high-dimensional multi-index models | Emanuele Troiani, Yatin Dandi, Leonardo Defilippis, Lenka Zdeborov'a, Bruno Loureiro, Florent Krzakala | 2024-05-24 | ArXiv | 0 | 16 | 
| visibility_off | Survival of the Fittest Representation: A Case Study with Modular Addition | Xiaoman Delores Ding, Zifan Carl Guo, Eric J. Michaud, Ziming Liu, Max Tegmark | 2024-05-27 | ArXiv | 0 | 14 | 
| visibility_off | STEP: extraction of underlying physics with robust machine learning | Karim K. Alaa El-Din, Alessandro Forte, Muhammad Firmansyah Kasim, Francesco Miniati, Sam M. Vinko | 2024-06-01 | Royal Society Open Science | 0 | 1 | 
| visibility_off | Contraction rates for conjugate gradient and Lanczos approximate posteriors in Gaussian process regression | Bernhard Stankewitz, Botond Szabo | 2024-06-18 | ArXiv | 0 | 2 | 
| visibility_off | Joint Learning of Linear Dynamical Systems under Smoothness Constraints | Hemant Tyagi | 2024-06-03 | ArXiv | 0 | 0 | 
| visibility_off | Data‐driven nonlinear state observation for controlled systems: A kernel method and its analysis | Moritz Woelk, Wentao Tang | 2024-07-08 | The Canadian Journal of Chemical Engineering | 0 | 1 | 
| visibility_off | Tensor Network Space-Time Spectral Collocation Method for Solving the Nonlinear Convection Diffusion Equation | Dibyendu Adak, M. E. Danis, Duc P. Truong, Kim Ø. Rasmussen, B. Alexandrov | 2024-06-04 | ArXiv | 0 | 22 | 
| visibility_off | Identifiability of Differential-Algebraic Systems | A. Montanari, François Lamoline, Robert Bereza, Jorge Gonçalves | 2024-05-22 | ArXiv | 0 | 6 | 
| visibility_off | VAE-Var: Variational-Autoencoder-Enhanced Variational Assimilation | Yi Xiao, Qilong Jia, Wei Xue, Lei Bai | 2024-05-22 | ArXiv | 0 | 1 | 
| visibility_off | Knowledge-Guided Learning of Temporal Dynamics and its Application to Gas Turbines | Pawel Bielski, Aleksandr Eismont, Jakob Bach, Florian Leiser, D. Kottonau, Klemens Böhm | 2024-05-31 | Proceedings of the 15th ACM International Conference on Future and Sustainable Energy Systems | 0 | 8 | 
| visibility_off | Space-Filling Input Design for Nonlinear State-Space Identification | M'at'e Kiss, Roland T'oth, M. Schoukens | 2024-05-28 | ArXiv | 0 | 18 | 
| visibility_off | A brief review of Reduced Order Models using intrusive and non-intrusive techniques | Guglielmo Padula, M. Girfoglio, G. Rozza | 2024-06-01 | ArXiv | 0 | 49 | 
| visibility_off | Physics-Informed Geometric Operators to Support Surrogate, Dimension Reduction and Generative Models for Engineering Design | Shahroz Khan, Zahid Masood, Muhammad Usama, Konstantinos V. Kostas, P. Kaklis, Wei Chen | 2024-07-10 | ArXiv | 0 | 21 | 
| visibility_off | Temporal label recovery from noisy dynamical data | Y. Khoo, Xin T. Tong, Wanjie Wang, Yuguan Wang | 2024-06-19 | ArXiv | 0 | 15 | 
| visibility_off | A Distributed Neural Hybrid System Learning Framework in Modeling Complex Dynamical Systems. | Yejiang Yang, Tao Wang, Weiming Xiang | 2024-06-28 | IEEE transactions on neural networks and learning systems | 0 | 2 | 
| visibility_off | Optimal deep learning of holomorphic operators between Banach spaces | Ben Adcock, N. Dexter, S. Moraga | 2024-06-20 | ArXiv | 0 | 9 | 
| visibility_off | Learning Diffusion at Lightspeed | Antonio Terpin, Nicolas Lanzetti, Florian Dörfler | 2024-06-18 | ArXiv | 0 | 10 | 
| visibility_off | Scaling up Probabilistic PDE Simulators with Structured Volumetric Information | Tim Weiland, Marvin Pförtner, Philipp Hennig | 2024-06-07 | ArXiv | 0 | 1 | 
| visibility_off | Graph Neural PDE Solvers with Conservation and Similarity-Equivariance | Masanobu Horie, Naoto Mitsume | 2024-05-25 | ArXiv | 0 | 0 | 
| visibility_off | Snapshot-driven Rational Interpolation of Parametric Systems | Art J. R. Pelling, Karim Cherifi, I. V. Gosea, E. Sarradj | 2024-06-03 | ArXiv | 0 | 25 | 
| visibility_off | Neural Network Representations of Multiphase Equations of State | George A. Kevrekidis, Daniel A. Serino, Alexander Kaltenborn, J. Gammel, J. Burby, Marc L. Klasky | 2024-06-28 | ArXiv | 0 | 16 | 
| visibility_off | Nonlinear time-series embedding by monotone variational inequality | Jonathan Y. Zhou, Yao Xie | 2024-06-11 | ArXiv | 0 | 0 | 
| visibility_off | Dynamical Measure Transport and Neural PDE Solvers for Sampling | Jingtong Sun, Julius Berner, Lorenz Richter, Marius Zeinhofer, Johannes Muller, K. Azizzadenesheli, A. Anandkumar | 2024-07-10 | ArXiv | 0 | 31 | 
| visibility_off | Separation Power of Equivariant Neural Networks | Marco Pacini, Xiaowen Dong, Bruno Lepri, G. Santin | 2024-06-13 | ArXiv | 0 | 5 | 
| visibility_off | Dynamical Mean-Field Theory of Self-Attention Neural Networks | 'Angel Poc-L'opez, Miguel Aguilera | 2024-06-11 | ArXiv | 0 | 0 | 
| visibility_off | Fast Numerical Approximation of Linear, Second-Order Hyperbolic Problems Using Model Order Reduction and the Laplace Transform | Fernando Henriquez, J. Hesthaven | 2024-05-30 | ArXiv | 1 | 64 | 
| visibility_off | Optimal Recurrent Network Topologies for Dynamical Systems Reconstruction | Christoph Jurgen Hemmer, Manuel Brenner, Florian Hess, Daniel Durstewitz | 2024-06-07 | ArXiv | 0 | 3 | 
| visibility_off | Lattice physics approaches for neural networks | G. Bardella, Simone Franchini, P. Pani, S. Ferraina | 2024-05-20 | ArXiv | 0 | 35 | 
| visibility_off | Transformers as Neural Operators for Solutions of Differential Equations with Finite Regularity | Benjamin Shih, Ahmad Peyvan, Zhongqiang Zhang, G. Karniadakis | 2024-05-29 | ArXiv | 0 | 127 | 
| visibility_off | Data-driven system identification of unknown systems utilising sparse identification of nonlinear dynamics (SINDy) | P. Pandey, H. Haddad Khodaparast, M. Friswell, T. Chatterjee, N. Jamia, T. Deighan | 2024-06-01 | Journal of Physics: Conference Series | 0 | 1 | 
| visibility_off | Learning deformable linear object dynamics from a single trajectory | Shamil Mamedov, A. R. Geist, Ruan Viljoen, Sebastian Trimpe, Jan Swevers | 2024-07-03 | ArXiv | 0 | 6 | 
| visibility_off | Convergence rates for random feature neural network approximation in molecular dynamics | Xin Huang, P. Plecháč, M. Sandberg, A. Szepessy | 2024-06-20 | ArXiv | 0 | 23 | 
| visibility_off | Rank Reduction Autoencoders - Enhancing interpolation on nonlinear manifolds | Jad Mounayer, Sebastian Rodriguez, C. Ghnatios, Charbel Farhat, Francisco Chinesta | 2024-05-22 | ArXiv | 0 | 13 | 
| visibility_off | Learning to Stabilize Unknown LTI Systems on a Single Trajectory under Stochastic Noise | Ziyi Zhang, Yorie Nakahira, Guannan Qu | 2024-05-31 | ArXiv | 0 | 10 | 
| visibility_off | Simultaneous System Identification and Model Predictive Control with No Dynamic Regret | Hongyu Zhou, Vasileios Tzoumas | 2024-07-04 | ArXiv | 0 | 19 | 
| visibility_off | Computation and Control of Unstable Steady States for Mean Field Multiagent Systems | Sara Bicego, D. Kalise, G. Pavliotis | 2024-06-17 | ArXiv | 0 | 32 | 
| visibility_off | Regularity-Conforming Neural Networks (ReCoNNs) for solving Partial Differential Equations | Jamie M. Taylor, David Pardo, J. Muñoz‐Matute | 2024-05-23 | ArXiv | 0 | 7 | 
| visibility_off | Worst-Case Learning under a Multi-fidelity Model | Simon Foucart, Nicolas Hengartner | 2024-06-20 | ArXiv | 0 | 0 | 
| visibility_off | Last-iterate Convergence Separation between Extra-gradient and Optimism in Constrained Periodic Games | Yi Feng, Ping Li, Ioannis Panageas, Xiao Wang | 2024-06-15 | ArXiv | 0 | 16 | 
| visibility_off | Learning-Based Verification of Stochastic Dynamical Systems with Neural Network Policies | Thom S. Badings, Wietze Koops, Sebastian Junges, Nils Jansen | 2024-06-02 | ArXiv | 0 | 7 | 
| visibility_off | Feedback control of recurrent dynamics constrains learning timescales during motor adaptation | Harsha Gurnani, Weixuan Liu, BW Brunton | 2024-06-25 | bioRxiv | 0 | 5 | 
| visibility_off | Realizability-Informed Machine Learning for Turbulence Anisotropy Mappings | R. McConkey, Eugene Yee, F. Lien | 2024-06-17 | ArXiv | 0 | 36 | 
| visibility_off | Keep the Momentum: Conservation Laws beyond Euclidean Gradient Flows | Sibylle Marcotte, R'emi Gribonval, Gabriel Peyr'e | 2024-05-21 | ArXiv | 0 | 2 | 
| visibility_off | Low-rank plus diagonal approximations for Riccati-like matrix differential equations | Silvère Bonnabel, Marc Lambert, Francis Bach | 2024-07-01 | ArXiv | 0 | 3 | 
| visibility_off | Topological Generalization Bounds for Discrete-Time Stochastic Optimization Algorithms | R. Andreeva, Benjamin Dupuis, Rik Sarkar, Tolga Birdal, Umut cSimcsekli | 2024-07-11 | ArXiv | 0 | 6 | 
| visibility_off | Discovery of differential equations using sparse state and parameter regression | Teddy Meissner, Karl Glasner | 2024-06-10 | ArXiv | 0 | 0 | 
| visibility_off | A novel discretized physics-informed neural network model applied to the Navier–Stokes equations | Amirhossein Khademi, Steven Dufour | 2024-06-07 | Physica Scripta | 0 | 1 | 
| visibility_off | BrowNNe: Brownian Nonlocal Neurons&Activation Functions | Sriram Nagaraj, Truman Hickok | 2024-06-21 | ArXiv | 0 | 0 | 
| visibility_off | Reconstruction of unknown nonlinear operators in semilinear elliptic models using optimal inputs | Jan Bartsch, S. Buchwald, G. Ciaramella, Stefan Volkwein | 2024-05-20 | ArXiv | 0 | 2 | 
| visibility_off | Prediction Accuracy of Learning in Games : Follow-the-Regularized-Leader meets Heisenberg | Yi Feng, G. Piliouras, Xiao Wang | 2024-06-15 | ArXiv | 0 | 33 | 
| visibility_off | Finite Operator Learning: Bridging Neural Operators and Numerical Methods for Efficient Parametric Solution and Optimization of PDEs | Shahed Rezaei, Reza Najian Asl, Kianoosh Taghikhani, Ahmad Moeineddin, Michael Kaliske, Markus Apel | 2024-07-04 | ArXiv | 0 | 18 | 
| visibility_off | Approximating Multi-Dimensional and Multiband Signals | Yuhan Li, Tianyao Huang, Yimin Liu, Xiqin Wang | 2024-05-20 | ArXiv | 0 | 26 | 
| visibility_off | Infusing Self-Consistency into Density Functional Theory Hamiltonian Prediction via Deep Equilibrium Models | Zun Wang, Chang Liu, Nianlong Zou, He Zhang, Xinran Wei, Lin Huang, Lijun Wu, Bin Shao | 2024-06-06 | ArXiv | 0 | 6 | 
| visibility_off | Randomized Gradient Descents on Riemannian Manifolds: Almost Sure Convergence to Global Minima in and beyond Quantum Optimization | Emanuel Malvetti, Christian Arenz, G. Dirr, Thomas Schulte-Herbruggen | 2024-05-20 | ArXiv | 0 | 16 | 
| visibility_off | Newton Informed Neural Operator for Computing Multiple Solutions of Nonlinear Partials Differential Equations | Wenrui Hao, Xinliang Liu, Yahong Yang | 2024-05-23 | ArXiv | 0 | 1 | 
| visibility_off | Efficient, Multimodal, and Derivative-Free Bayesian Inference With Fisher-Rao Gradient Flows | Yifan Chen, Daniel Zhengyu Huang, Jiaoyang Huang, Sebastian Reich, Andrew M. Stuart | 2024-06-25 | ArXiv | 0 | 2 | 
| visibility_off | Data-driven discovery of self-similarity using neural networks | Ryota Watanabe, Takanori Ishii, Yuji Hirono, Hirokazu Maruoka | 2024-06-06 | ArXiv | 0 | 0 | 
| visibility_off | A discretization-free deep neural network-based approach for advection-dispersion-reaction mechanisms | Hande Uslu Tuna, Murat Sari, Tahir Cosgun | 2024-05-30 | Physica Scripta | 0 | 3 | 
| visibility_off | Stochastic Reservoir Computers | Peter J. Ehlers, H. Nurdin, Daniel Soh | 2024-05-20 | ArXiv | 0 | 22 | 
| visibility_off | A blended physics-based and black-box identification approach for spacecraft inertia estimation - EXTENDED VERSION | Martina Mammarella, Cesare Donati, F. Dabbene, C. Novara, C. Lagoa | 2024-05-28 | ArXiv | 0 | 24 | 
| visibility_off | Nonlinear Eigen-approach ADMM for Sparse Optimization on Stiefel Manifold | Jiawei Wang, Rencang Li, Richard Yi Da Xu | 2024-06-04 | ArXiv | 0 | 0 | 
| visibility_off | Benchmarking various nonadiabatic semiclassical mapping dynamics methods with tensor-train thermo-field dynamics. | Zengkui Liu, Ningyi Lyu, Zhubin Hu, Hao Zeng, Victor S. Batista, Xiang Sun | 2024-07-09 | The Journal of chemical physics | 0 | 12 | 
| visibility_off | Optimal Control of Agent-Based Dynamics under Deep Galerkin Feedback Laws | Frederik Kelbel | 2024-06-13 | ArXiv | 0 | 0 | 
| visibility_off | Active search for Bifurcations | Y. M. Psarellis, T. Sapsis, I. G. Kevrekidis | 2024-06-17 | ArXiv | 0 | 37 | 
| visibility_off | Nonlinear denoising score matching for enhanced learning of structured distributions | Jeremiah Birrell, M. Katsoulakis, Luc Rey-Bellet, Benjamin J. Zhang, Wei Zhu | 2024-05-24 | ArXiv | 0 | 31 | 
| visibility_off | Discrete-Time Conewise Linear Systems with Finitely Many Switches | J. Daafouz, J'erome Loh'eac, Constantin Morarescu, R. Postoyan | 2024-06-18 | ArXiv | 0 | 42 | 
| visibility_off | Enhancing lattice kinetic schemes for fluid dynamics with Lattice-Equivariant Neural Networks | Giulio Ortali, Alessandro Gabbana, Imre Atmodimedjo, Alessandro Corbetta | 2024-05-22 | ArXiv | 0 | 17 | 
| visibility_off | Data-driven identification of port-Hamiltonian DAE systems by Gaussian processes | Peter Zaspel, Michael Gunther | 2024-06-26 | ArXiv | 0 | 0 | 
| visibility_off | Low-dimensional approximations of the conditional law of Volterra processes: a non-positive curvature approach | Reza Arabpour, John Armstrong, Luca Galimberti, Anastasis Kratsios, Giulia Livieri | 2024-05-30 | ArXiv | 0 | 6 | 
| visibility_off | Grokfast: Accelerated Grokking by Amplifying Slow Gradients | Jaerin Lee, Bong Gyun Kang, Kihoon Kim, Kyoung Mu Lee | 2024-05-30 | ArXiv | 1 | 3 | 
| visibility_off | From high-dimensional committors to reactive insights | Nils E. Strand, Schuyler B. Nicholson, Hadrien Vroylandt, Todd R. Gingrich | 2024-06-03 | ArXiv | 0 | 17 | 
| visibility_off | Gradients of Functions of Large Matrices | Nicholas Krämer, Pablo Moreno-Munoz, Hrittik Roy, Søren Hauberg | 2024-05-27 | ArXiv | 0 | 8 | 
| visibility_off | There is HOPE to Avoid HiPPOs for Long-memory State Space Models | Annan Yu, Michael W. Mahoney, N. Benjamin Erichson | 2024-05-22 | ArXiv | 1 | 22 | 
| visibility_off | Constrained or Unconstrained? Neural-Network-Based Equation Discovery from Data | Grant Norman, Jacqueline Wentz, H. Kolla, K. Maute, Alireza Doostan | 2024-05-30 | ArXiv | 0 | 51 | 
| visibility_off | Application of physics encoded neural networks to improve predictability of properties of complex multi-scale systems | M. Meinders, Jack Yang, Erik van der Linden | 2024-07-01 | Scientific Reports | 0 | 29 | 
| visibility_off | Stable Weight Updating: A Key to Reliable PDE Solutions Using Deep Learning | A. Noorizadegan, R. Cavoretto, D. Young, C. S. Chen | 2024-07-10 | ArXiv | 0 | 4 | 
| visibility_off | Data Complexity Estimates for Operator Learning | Nikola B. Kovachki, S. Lanthaler, H. Mhaskar | 2024-05-25 | ArXiv | 0 | 40 | 
| visibility_off | Information support to solve direct dynamic problem for the previouslydisturbed electromechanicalsystems | Roman Voliansky, Oleksandr V. Sadovoi, Olga I. Tolochko, Yurii Shramko | 2024-05-27 | Herald of Advanced Information Technology | 0 | 5 | 
| visibility_off | Trivialized Momentum Facilitates Diffusion Generative Modeling on Lie Groups | Yuchen Zhu, Tianrong Chen, Lingkai Kong, Evangelos A. Theodorou, Molei Tao | 2024-05-25 | ArXiv | 0 | 42 | 
| visibility_off | Stability and Generalizability in SDE Diffusion Models with Measure-Preserving Dynamics | Weitong Zhang, Chengqi Zang, Liu Li, Sarah Cechnicka, Ouyang Cheng, Bernhard Kainz | 2024-06-19 | ArXiv | 0 | 1 | 
| visibility_off | Data-driven strategy synthesis for stochastic systems with unknown nonlinear disturbances | Ibon Gracia, Dimitris Boskos, Luca Laurenti, Morteza Lahijanian | 2024-06-14 | ArXiv | 0 | 17 | 
| visibility_off | Exploring the Global Dynamics of Networks Trained through Equilibrium Propagation | Gianluca Zoppo, F. Corinto, M. Gilli | 2024-05-19 | 2024 IEEE International Symposium on Circuits and Systems (ISCAS) | 0 | 26 | 
| visibility_off | Revealing trends and persistent cycles of non-autonomous systems with autonomous operator-theoretic techniques | G. Froyland, Dimitrios Giannakis, Edoardo Luna, J. Slawinska | 2024-05-20 | Nature Communications | 0 | 42 | 
| visibility_off | Bayesian Entropy Neural Networks for Physics-Aware Prediction | R. Rathnakumar, Jiayu Huang, Hao Yan, Yongming Liu | 2024-07-01 | ArXiv | 0 | 3 | 
| visibility_off | Actor-critic algorithms for fiber sampling problems | Ivan Gvozdanovi'c, Sonja Petrovi'c | 2024-05-22 | ArXiv | 0 | 0 | 
| visibility_off | Automatic Differentiation is Essential in Training Neural Networks for Solving Differential Equations | Chuqi Chen, Yahong Yang, Yang Xiang, Wenrui Hao | 2024-05-23 | ArXiv | 0 | 1 | 
| visibility_off | Bounds on the approximation error for deep neural networks applied to dispersive models: Nonlinear waves | Claudio Munoz, Nicol'as Valenzuela | 2024-05-22 | ArXiv | 0 | 2 | 
| visibility_off | Calibrating Neural Networks' parameters through Optimal Contraction in a Prediction Problem | Valdes Gonzalo | 2024-06-15 | ArXiv | 0 | 0 | 
| visibility_off | Modeling Randomly Observed Spatiotemporal Dynamical Systems | V. Iakovlev, Harri Lähdesmäki | 2024-06-01 | ArXiv | 0 | 2 | 
| visibility_off | Scaling Laws in Linear Regression: Compute, Parameters, and Data | Licong Lin, Jingfeng Wu, S. Kakade, Peter L. Bartlett, Jason D. Lee | 2024-06-12 | ArXiv | 0 | 87 | 
| visibility_off | Continuous Attractor Networks for Laplace Neural Manifolds | Bryan C. Daniels, Marc W. Howard | 2024-06-06 | ArXiv | 0 | 0 | 
| visibility_off | Assessment of Uncertainty Quantification in Universal Differential Equations | Nina Schmid, David Fernandes del Pozo, Willem Waegeman, Jan Hasenauer | 2024-06-13 | ArXiv | 0 | 0 | 
| visibility_off | Bond Graphs for multi-physics informed Neural Networks for multi-variate time series | Alexis-Raja Brachet, Pierre-Yves Richard, C'eline Hudelot | 2024-05-22 | ArXiv | 0 | 1 | 
| visibility_off | Differentiability and Optimization of Multiparameter Persistent Homology | Luis Scoccola, Siddharth Setlur, David Loiseaux, Mathieu Carrière, Steve Oudot | 2024-06-11 | ArXiv | 1 | 13 | 
| visibility_off | Structure-preserving formulations for data-driven analysis of coupled multi-physics systems | Alba Muixí, David González, Francisco Chinesta, Elías Cueto | 2024-06-07 | Computational Mechanics | 0 | 13 | 
| visibility_off | Pi-fusion: Physics-informed diffusion model for learning fluid dynamics | Jing Qiu, Jiancheng Huang, Xiangdong Zhang, Zeng Lin, Minglei Pan, Zengding Liu, F. Miao | 2024-06-06 | ArXiv | 1 | 20 | 
| visibility_off | Amortized Equation Discovery in Hybrid Dynamical Systems | Yongtuo Liu, Sara Magliacane, Miltiadis Kofinas, E. Gavves | 2024-06-06 | ArXiv | 0 | 36 | 
| visibility_off | An approach to non-equilibrium statistical physics using variational Bayesian inference | M. Ramstead, D. A. R. Sakthivadivel, K. Friston | 2024-06-17 | ArXiv | 0 | 23 | 
| visibility_off | Optimal Control of the Nonlinear Stochastic Fokker--Planck Equation | Ben Hambly, Philipp Jettkant | 2024-06-24 | ArXiv | 0 | 1 | 
| visibility_off | Information limits and Thouless-Anderson-Palmer equations for spiked matrix models with structured noise | Jean Barbier, Francesco Camilli, Marco Mondelli, Yizhou Xu | 2024-05-31 | ArXiv | 0 | 5 | 
| visibility_off | On PI Controllers for Updating Lagrange Multipliers in Constrained Optimization | Motahareh Sohrabi, Juan Ramirez, Tianyue H. Zhang, Simon Lacoste-Julien, Jose Gallego-Posada | 2024-06-07 | ArXiv | 0 | 6 | 
| visibility_off | Exploring localization in nonlinear oscillator systems through network-based predictions | Charlotte Geier, Norbert Hoffmann . Hamburg University of Technology, I. -. London | 2024-07-07 | ArXiv | 0 | 30 | 
| visibility_off | Impact of Measurement Noise on Escaping Saddles in Variational Quantum Algorithms | Eriko Kaminishi, Takashi Mori, M. Sugawara, Naoki Yamamoto | 2024-06-14 | ArXiv | 0 | 9 | 
| visibility_off | Constructive Function Approximation with Local Models | Christos N. Mavridis, K. H. Johansson | 2024-06-11 | 2024 32nd Mediterranean Conference on Control and Automation (MED) | 0 | 0 | 
| visibility_off | Entropy annealing for policy mirror descent in continuous time and space | Deven Sethi, David Siska, Yufei Zhang | 2024-05-30 | ArXiv | 1 | 2 | 
| visibility_off | A software framework for stochastic model predictive control of nonlinear continuous-time systems (GRAMPC-S) | D. Landgraf, Andreas Volz, Knut Graichen | 2024-07-12 | ArXiv | 0 | 2 | 
| visibility_off | Cubic regularized subspace Newton for non-convex optimization | Jim Zhao, Aurélien Lucchi, N. Doikov | 2024-06-24 | ArXiv | 0 | 39 | 
| visibility_off | ElastoGen: 4D Generative Elastodynamics | Yutao Feng, Yintong Shang, Xiang Feng, Lei Lan, Shandian Zhe, Tianjia Shao, Hongzhi Wu, Kun Zhou, Hao Su, Chenfanfu Jiang, Yin Yang | 2024-05-23 | ArXiv | 1 | 21 | 
| visibility_off | Co-evolutionary dynamics for two adaptively coupled Theta neurons | Felix Augustsson, E. A. Martens | 2024-07-01 | ArXiv | 0 | 21 | 
| visibility_off | Higher order approximation of nonlinear SPDEs with additive space-time white noise | Ana Djurdjevac, M'at'e Gerencs'er, Helena Kremp | 2024-06-05 | ArXiv | 0 | 4 | 
| visibility_off | Functional Control of Network Dynamical Systems: An Information Theoretic Approach | Moirangthem Sailash Singh, R. Pasumarthy, Umesh Vaidya, Steffen Leonhardt | 2024-06-17 | bioRxiv | 0 | 14 | 
| visibility_off | A generalized neural tangent kernel for surrogate gradient learning | Luke Eilers, Raoul-Martin Memmesheimer, Sven Goedeke | 2024-05-24 | ArXiv | 0 | 22 | 
| visibility_off | Partially Observed Trajectory Inference using Optimal Transport and a Dynamics Prior | Anming Gu, Edward Chien, K. Greenewald | 2024-06-11 | ArXiv | 0 | 20 | 
| visibility_off | Rise and Fall of Anderson Localization by Lattice Vibrations: A Time-Dependent Machine Learning Approach | Yoel Zimmermann, J. Keski-Rahkonen, A. M. Graf, E. J. Heller | 2024-05-27 | Entropy | 0 | 4 | 
| visibility_off | Learnable & Interpretable Model Combination in Dynamic Systems Modeling | Tobias Thummerer, Lars Mikelsons | 2024-06-12 | ArXiv | 0 | 11 | 
| visibility_off | Latent Neural Operator for Solving Forward and Inverse PDE Problems | Tian Wang, Chuang Wang | 2024-06-06 | ArXiv | 0 | 0 | 
| visibility_off | Recurrent Stochastic Configuration Networks for Temporal Data Analytics | Dianhui Wang, Gang Dang | 2024-06-21 | ArXiv | 0 | 1 | 
| visibility_off | Dropout MPC: An Ensemble Neural MPC Approach for Systems with Learned Dynamics | Spyridon Syntakas, K. Vlachos | 2024-06-04 | ArXiv | 0 | 8 | 
| visibility_off | Sign Gradient Descent-based Neuronal Dynamics: ANN-to-SNN Conversion Beyond ReLU Network | Hyunseok Oh, Youngki Lee | 2024-07-01 | ArXiv | 0 | 3 | 
| visibility_off | Neural Optimal Transport with Lagrangian Costs | Aram-Alexandre Pooladian, Carles Domingo-Enrich, Ricky T. Q. Chen, Brandon Amos | 2024-06-01 | ArXiv | 5 | 8 | 
| visibility_off | Learning dynamical models from stochastic trajectories | Pierre Ronceray | 2024-06-04 | ArXiv | 0 | 0 | 
| visibility_off | Distribution Steering for Discrete-Time Uncertain Ensemble Systems | Guangyu Wu, Panagiotis Tsiotras, Anders Lindquist | 2024-05-20 | ArXiv | 0 | 5 | 
| visibility_off | An Intrinsic Vector Heat Network | Alexander Gao, Maurice Chu, Mubbasir Kapadia, Ming C. Lin, Hsueh-Ti Derek Liu | 2024-06-14 | ArXiv | 0 | 29 | 
| visibility_off | Learning Regularities from Data using Spiking Functions: A Theory | Canlin Zhang, Xiuwen Liu | 2024-05-19 | ArXiv | 0 | 4 | 
| visibility_off | A Generative Approach to Control Complex Physical Systems | Long Wei, Peiyan Hu, Ruiqi Feng, Haodong Feng, Yixuan Du, Tao Zhang, Rui Wang, Yue Wang, Zhi-Ming Ma, Tailin Wu | 2024-07-09 | ArXiv | 0 | 1 | 
| visibility_off | Online Training of Hopfield Networks using Predictive Coding | Ehsan Ganjidoost, Mallory A. Snow, Jeff Orchard | 2024-06-20 | ArXiv | 0 | 0 | 
| visibility_off | Ergodic optimization for continuous functions on non-Markov shifts | Mao Shinoda, Hiroki Takahasi, Kenichiro Yamamoto | 2024-06-03 | ArXiv | 1 | 1 | 
| visibility_off | Optimal Reconstruction of Vector Fields from Data for Prediction and Uncertainty Quantification | Sean P. McGowan, William S. P. Robertson, Chantelle Blachut, Sanjeeva Balasuriya | 2024-06-13 | J. Nonlinear Sci. | 0 | 18 | 
| visibility_off | A few-shot identification method for stochastic dynamical systems based on residual multipeaks adaptive sampling. | Xiao-Kai An, Lin Du, Feng Jiang, Yu-jia Zhang, Zi-Chen Deng, Jürgen Kurths | 2024-07-01 | Chaos | 0 | 6 | 
| visibility_off | Stochastic Differential Equations models for Least-Squares Stochastic Gradient Descent | Adrien Schertzer, Loucas Pillaud-Vivien | 2024-07-02 | ArXiv | 0 | 10 | 
| visibility_off | Robust parameter estimation and identifiability analysis with Hybrid Neural Ordinary Differential Equations in Computational Biology | Stefano Giampiccolo, Federico Reali, Anna Fochesato, Giovanni Iacca, Luca Marchetti | 2024-06-12 | bioRxiv | 0 | 6 | 
| visibility_off | Flatness-Based Identification of Nonlinear Dynamics | Alexander M. Kopp, Lisa Fuchs, Christoph Ament | 2024-06-11 | 2024 32nd Mediterranean Conference on Control and Automation (MED) | 0 | 0 | 
| visibility_off | An SDE Perspective on Stochastic Inertial Gradient Dynamics with Time-Dependent Viscosity and Geometric Damping | Rodrigo Maulen-Soto, Jalal Fadili, H. Attouch, Peter Ochs | 2024-07-05 | ArXiv | 0 | 50 | 
| visibility_off | Tensor networks enable the calculation of turbulence probability distributions | Nikita Gourianov, P. Givi, Dieter Jaksch, Stephen B. Pope | 2024-07-12 | ArXiv | 0 | 31 | 
| visibility_off | Optimization of Approximate Maps for Linear Systems Arising in Discretized PDEs | Rishad Islam, Arielle Carr, Colin Jacobs | 2024-06-25 | ArXiv | 0 | 0 | 
| visibility_off | Extremum Seeking Control for Scalar Maps with Distributed Diffusion PDEs | Pedro Henrique Silva Coutinho, Tiago Roux Oliveira, Miroslav Krstic | 2024-06-03 | ArXiv | 0 | 1 | 
| visibility_off | Injecting Hamiltonian Architectural Bias into Deep Graph Networks for Long-Range Propagation | Simon Heilig, Alessio Gravina, Alessandro Trenta, Claudio Gallicchio, Davide Bacciu | 2024-05-27 | ArXiv | 0 | 4 | 
| visibility_off | Learning tensor networks with tensor cross interpolation: new algorithms and libraries | Yuriel N'unez Fern'andez, Marc K. Ritter, Matthieu Jeannin, Jheng-Wei Li, Thomas Kloss, Thibaud Louvet, Satoshi Terasaki, O. Parcollet, J. Delft, H. Shinaoka, Xavier Waintal | 2024-07-02 | ArXiv | 0 | 40 | 
| visibility_off | Regression Trees Know Calculus | Nathan Wycoff | 2024-05-22 | ArXiv | 0 | 0 | 
| visibility_off | Stochastic Inference of Plate Bending from Heterogeneous Data: Physics-informed Gaussian Processes via Kirchhoff-Love Theory | I. Kavrakov, Gledson Rodrigo Tondo, Guido Morgenthal | 2024-05-21 | ArXiv | 0 | 11 | 
| visibility_off | A physics-constrained and data-driven method for modeling supersonic flow | Tong Zhao, Jian An, Yuming Xu, Guoqiang He, Fei Qin | 2024-06-01 | Physics of Fluids | 0 | 0 | 
| visibility_off | A multigrid reduction framework for domains with symmetries | À. Alsalti-Baldellou, Carlo Janna, Xavier 'Alvarez-Farr'e, F. Trias | 2024-07-08 | ArXiv | 0 | 28 | 
| visibility_off | On Regularization via Early Stopping for Least Squares Regression | Rishi Sonthalia, Jackie Lok, E. Rebrova | 2024-06-06 | ArXiv | 0 | 9 | 
| visibility_off | High Rank Path Development: an approach of learning the filtration of stochastic processes | Jiajie Tao, Hao Ni, Chong Liu | 2024-05-23 | ArXiv | 0 | 1 | 
| visibility_off | Equivariant Spatio-Temporal Attentive Graph Networks to Simulate Physical Dynamics | Liming Wu, Zhichao Hou, Jirui Yuan, Yu Rong, Wenbing Huang | 2024-05-21 | ArXiv | 0 | 1 | 
| visibility_off | Oscillations enhance time-series prediction in reservoir computing with feedback | Yuji Kawai, Takashi Morita, Jihoon Park, Minoru Asada | 2024-06-05 | ArXiv | 0 | 7 | 
| visibility_off | A Multiscale Perspective on Maximum Marginal Likelihood Estimation | O. D. Akyildiz, M. Ottobre, I. Souttar | 2024-06-06 | ArXiv | 2 | 11 | 
| visibility_off | Robust and highly scalable estimation of directional couplings from time-shifted signals | Luca Ambrogioni, Louis Rouillard, Demian Wassermann | 2024-06-04 | ArXiv | 0 | 2 | 
| visibility_off | Schr\"{o}dinger Bridge with Quadratic State Cost is Exactly Solvable | Alexis M. H. Teter, Wenqing Wang, Abhishek Halder | 2024-06-01 | ArXiv | 0 | 2 | 
| visibility_off | Cascade of phase transitions in the training of Energy-based models | Dimitrios Bachtis, Giulio Biroli, A. Decelle, Beatriz Seoane | 2024-05-23 | ArXiv | 2 | 14 | 
| visibility_off | On Computation of Approximate Solutions to Large-Scale Backstepping Kernel Equations via Continuum Approximation | Jukka-Pekka Humaloja, N. Bekiaris-Liberis | 2024-06-19 | ArXiv | 0 | 31 | 
| visibility_off | Evolving reservoir computers reveals bidirectional coupling between predictive power and emergent dynamics | Hanna M. Tolle, A. Luppi, Anil K. Seth, P. Mediano | 2024-06-27 | ArXiv | 0 | 25 | 
| visibility_off | On examining the predictive capabilities of two variants of PINN in validating localised wave solutions in the generalized nonlinear Schr\"{o}dinger equation | K. Thulasidharan, N. Sinthuja, N. VishnuPriya, M. Senthilvelan | 2024-07-10 | ArXiv | 0 | 3 | 
| visibility_off | Poseidon: Efficient Foundation Models for PDEs | Maximilian Herde, Bogdan Raoni'c, Tobias Rohner, R. Käppeli, Roberto Molinaro, Emmanuel de B'ezenac, Siddhartha Mishra | 2024-05-29 | ArXiv | 1 | 11 | 
| visibility_off | Novel Kernel Models and Exact Representor Theory for Neural Networks Beyond the Over-Parameterized Regime | A. Shilton, Sunil Gupta, Santu Rana, S. Venkatesh | 2024-05-24 | ArXiv | 0 | 24 | 
| visibility_off | Entrywise dynamics and universality of general first order methods | Qiyang Han | 2024-06-27 | ArXiv | 0 | 0 | 
| visibility_off | Sparse Spectral Training and Inference on Euclidean and Hyperbolic Neural Networks | Jialin Zhao, Yingtao Zhang, Xinghang Li, Huaping Liu, C. Cannistraci | 2024-05-24 | ArXiv | 0 | 33 | 
| visibility_off | Development of data-driven modeling method for nonlinear coupling components | Taesan Ryu, Seunghun Baek | 2024-06-27 | Scientific Reports | 0 | 0 | 
| visibility_off | A meshless method to compute the proper orthogonal decomposition and its variants from scattered data | Iacopo Tirelli, M. A. Mendez, A. Ianiro, S. Discetti | 2024-07-03 | ArXiv | 0 | 24 | 
| visibility_off | Learning dynamical behaviors in physical systems | R. Mandal, Rosalind Huang, Michel Fruchart, P. Moerman, Suriyanarayanan Vaikuntanathan, Arvind Murugan, Vincenzo Vitelli | 2024-06-12 | ArXiv | 0 | 25 | 
| visibility_off | System-Aware Neural ODE Processes for Few-Shot Bayesian Optimization | Jixiang Qing, Becky D Langdon, Robert M. Lee, B. Shafei, Mark van der Wilk, Calvin Tsay, Ruth Misener | 2024-06-04 | ArXiv | 0 | 22 | 
| visibility_off | Functional Principal Component Analysis for Truncated Data | Caitrin Murphy, Eric Laber, Rhonda Merwin, Brian Reich | 2024-07-08 | ArXiv | 0 | 0 | 
| visibility_off | SDPRLayers: Certifiable Backpropagation Through Polynomial Optimization Problems in Robotics | Connor T. Holmes, F. Dümbgen, Tim D. Barfoot | 2024-05-29 | ArXiv | 0 | 7 | 
| visibility_off | A moment-based Kalman filtering approach for estimation in ensemble systems. | A. L. P. de Lima, Jr-Shin Li | 2024-06-01 | Chaos | 0 | 1 | 
| visibility_off | Proximal Interacting Particle Langevin Algorithms | Paula Cordero Encinar, F. R. Crucinio, O. D. Akyildiz | 2024-06-20 | ArXiv | 1 | 6 | 
| visibility_off | PhyGICS – A Physics-informed Graph Neural Network-based Intelligent HVAC Controller for Open-plan Spaces | S. Nagarathinam, Arunchandar Vasan | 2024-05-31 | Proceedings of the 15th ACM International Conference on Future and Sustainable Energy Systems | 0 | 15 | 
| visibility_off | Characterizing Complex Spatiotemporal Patterns from Entropy Measures | Luan O. Barauna, Rubens Andreas Sautter, R. Rosa, E. Rempel, Alejandro C. Frery | 2024-06-01 | Entropy | 0 | 20 | 
| visibility_off | Exact Gradients for Stochastic Spiking Neural Networks Driven by Rough Signals | Christian Holberg, C. Salvi | 2024-05-22 | ArXiv | 0 | 12 | 
| visibility_off | Multivariate extreme values for dynamical systems | Romain Aimino, A. C. Freitas, J. Freitas, Mike Todd | 2024-06-21 | ArXiv | 0 | 19 | 
| visibility_off | An Accelerated Dual-Integral Structure Zeroing Neural Network Resistant to Linear Noise for Dynamic Complex Matrix Inversion | Feixiang Yang, Tinglei Wang, Yun Huang | 2024-06-02 | Axioms | 0 | 0 | 
| visibility_off | Computationally Efficient RL under Linear Bellman Completeness for Deterministic Dynamics | Runzhe Wu, Ayush Sekhari, Akshay Krishnamurthy, Wen Sun | 2024-06-17 | ArXiv | 1 | 11 | 
| visibility_off | Evolutionary and Sparse Regression Approach for Data-Driven Modelling of an Overhead Crane Dynamics | Tom Kusznir, Jarosław Smoczek, Bolesław Karwat | 2024-08-01 | Advances in Science and Technology Research Journal | 0 | 3 | 
| visibility_off | Exploiting residual errors in nonlinear online prediction | Emirhan Ilhan, Ahmet B. Koc, S. Kozat | 2024-05-29 | Machine Learning | 0 | 26 | 
| Abstract | Title | Authors | Publication Date | Journal/Conference | Citation count | Highest h-index |