HyperSINDy: Deep Generative Modeling of Nonlinear Stochastic Governing Equations

7 October 2023

Steven L. Brunton

Papers citing "HyperSINDy: Deep Generative Modeling of Nonlinear Stochastic Governing Equations"

26 / 26 papers shown

Title
Convergence of uncertainty estimates in Ensemble and Bayesian sparse model discovery Liyao (Mars) Gao Urban Fasel Steven L. Brunton J. Nathan Kutz 58 12 0 30 Jan 2023
Bayesian Spline Learning for Equation Discovery of Nonlinear Dynamics with Quantified Uncertainty Luning Sun Daniel Zhengyu Huang Hao Sun Jian-Xun Wang 64 10 0 14 Oct 2022
PI-VAE: Physics-Informed Variational Auto-Encoder for stochastic differential equations Weiheng Zhong Hadi Meidani DRL 62 38 0 21 Mar 2022
PySINDy: A comprehensive Python package for robust sparse system identification A. Kaptanoglu Brian M. de Silva Urban Fasel Kadierdan Kaheman Andy J. Goldschmidt ... Zachary G. Nicolaou Kathleen P. Champion Jean-Christophe Loiseau J. Nathan Kutz Steven L. Brunton AI4CE 69 149 0 12 Nov 2021
Physics-Integrated Variational Autoencoders for Robust and Interpretable Generative Modeling Naoya Takeishi Alexandros Kalousis DRL AI4CE 64 54 0 25 Feb 2021
Stochastic embeddings of dynamical phenomena through variational autoencoders C. A. García P. Félix J. Presedo A. Otero BDL 48 2 0 13 Oct 2020
Variational Deep Learning for the Identification and Reconstruction of Chaotic and Stochastic Dynamical Systems from Noisy and Partial Observations Duong Nguyen Said Ouala Lucas Drumetz Ronan Fablet 41 13 0 04 Sep 2020
Dynamical Variational Autoencoders: A Comprehensive Review Laurent Girin Simon Leglaive Xiaoyu Bie Julien Diard Thomas Hueber Xavier Alameda-Pineda BDL 81 219 0 28 Aug 2020
Failure Modes of Variational Autoencoders and Their Effects on Downstream Tasks Yaniv Yacoby Weiwei Pan Finale Doshi-Velez CML DRL 60 26 0 14 Jul 2020
Identifying Latent Stochastic Differential Equations Ali Hasan João M. Pereira Sina Farsiu Vahid Tarokh DiffM 46 20 0 12 Jul 2020
Time Series Forecasting With Deep Learning: A Survey Bryan Lim S. Zohren AI4TS AI4CE 88 1,228 0 28 Apr 2020
Decision-Making with Auto-Encoding Variational Bayes Romain Lopez Pierre Boyeau Nir Yosef Michael I. Jordan Jeffrey Regier BDL 393 10,591 0 17 Feb 2020
PyTorch: An Imperative Style, High-Performance Deep Learning Library Adam Paszke Sam Gross Francisco Massa Adam Lerer James Bradbury ... Sasank Chilamkurthy Benoit Steiner Lu Fang Junjie Bai Soumith Chintala ODL 496 42,449 0 03 Dec 2019
A unified sparse optimization framework to learn parsimonious physics-informed models from data Kathleen P. Champion P. Zheng Aleksandr Aravkin Steven L. Brunton J. Nathan Kutz AI4CE 52 118 0 25 Jun 2019
An Introduction to Variational Autoencoders Diederik P. Kingma Max Welling BDL SSL DRL 80 2,354 0 06 Jun 2019
Improved Conditional VRNNs for Video Prediction Lluis Castrejon Nicolas Ballas Aaron Courville VGen DRL 126 163 0 27 Apr 2019
On the Convergence of Adam and Beyond Sashank J. Reddi Satyen Kale Surinder Kumar 93 2,499 0 19 Apr 2019
Physics-Informed Generative Adversarial Networks for Stochastic Differential Equations Siyu Dai Shawn Schaffert Andreas G. Hofmann 120 365 0 05 Nov 2018
Quantifying total uncertainty in physics-informed neural networks for solving forward and inverse stochastic problems Dongkun Zhang Lu Lu Ling Guo George Karniadakis UQCV 105 409 0 21 Sep 2018
A Unified Framework for Sparse Relaxed Regularized Regression: SR3 P. Zheng T. Askham Steven L. Brunton J. Nathan Kutz Aleksandr Aravkin 40 139 0 14 Jul 2018
Sparse learning of stochastic dynamic equations L. Boninsegna Feliks Nuske C. Clementi 42 217 0 06 Dec 2017
Learning Sparse Neural Networks through $L_0$ Regularization Christos Louizos Max Welling Diederik P. Kingma 430 1,144 0 04 Dec 2017
Implicit Weight Uncertainty in Neural Networks Nick Pawlowski Andrew Brock Matthew C. H. Lee Martin Rajchl Ben Glocker BDL UQCV 118 94 0 03 Nov 2017
Categorical Reparameterization with Gumbel-Softmax Eric Jang S. Gu Ben Poole BDL 334 5,364 0 03 Nov 2016
The Concrete Distribution: A Continuous Relaxation of Discrete Random Variables Chris J. Maddison A. Mnih Yee Whye Teh BDL 193 2,533 0 02 Nov 2016
Variational Inference with Normalizing Flows Danilo Jimenez Rezende S. Mohamed DRL BDL 313 4,182 0 21 May 2015