Machine Learning from a Continuous Viewpoint

30 December 2019

Chao Ma

Papers citing "Machine Learning from a Continuous Viewpoint"

50 / 61 papers shown

Title
Taming High-Dimensional Dynamics: Learning Optimal Projections onto Spectral Submanifolds Hugo Buurmeijer Luis A. Pabon J. I. Alora Roshan S. Kaundinya George Haller Marco Pavone 31 0 0 04 Apr 2025
CAPEEN: Image Captioning with Early Exits and Knowledge Distillation Divya J. Bajpai M. Hanawal VLM 21 4 0 06 Oct 2024
Operator Learning Using Random Features: A Tool for Scientific Computing Nicholas H. Nelsen Andrew M. Stuart 39 12 0 12 Aug 2024
A rationale from frequency perspective for grokking in training neural network Zhangchen Zhou Yaoyu Zhang Z. Xu 38 2 0 24 May 2024
Accurate Learning of Equivariant Quantum Systems from a Single Ground State Stepán Smíd Roberto Bondesan 37 0 0 20 May 2024
Generalization of Scaled Deep ResNets in the Mean-Field Regime Yihang Chen Fanghui Liu Yiping Lu Grigorios G. Chrysos V. Cevher 33 2 0 14 Mar 2024
Learning Domain-Independent Green's Function For Elliptic Partial Differential Equations Pawan Negi Maggie Cheng Mahesh Krishnamurthy Wenjun Ying Shuwang Li 23 1 0 30 Jan 2024
A convergence result of a continuous model of deep learning via Łojasiewicz--Simon inequality Noboru Isobe 8 2 0 26 Nov 2023
Minimum norm interpolation by perceptra: Explicit regularization and implicit bias Jiyoung Park Ian Pelakh Stephan Wojtowytsch 40 2 0 10 Nov 2023
Model-free tracking control of complex dynamical trajectories with machine learning Zheng-Meng Zhai Mohammadamin Moradi Ling-Wei Kong Bryan Glaz Mulugeta Haile Ying-Cheng Lai 14 35 0 20 Sep 2023
PottsMGNet: A Mathematical Explanation of Encoder-Decoder Based Neural Networks X. Tai Hao Liu Raymond H. F. Chan 30 10 0 18 Jul 2023
Stochastic Modified Flows, Mean-Field Limits and Dynamics of Stochastic Gradient Descent Benjamin Gess Sebastian Kassing Vitalii Konarovskyi DiffM 26 6 0 14 Feb 2023
Selected aspects of complex, hypercomplex and fuzzy neural networks A. Niemczynowicz R. Kycia Maciej Jaworski A. Siemaszko J. Calabuig ... Baruch Schneider Diana Berseghyan Irina Perfiljeva V. Novák Piotr Artiemjew 8 0 0 29 Dec 2022
A Mathematical Framework for Learning Probability Distributions Hongkang Yang 16 7 0 22 Dec 2022
On the symmetries in the dynamics of wide two-layer neural networks Karl Hajjar Lénaïc Chizat 11 11 0 16 Nov 2022
Defects of Convolutional Decoder Networks in Frequency Representation Ling Tang Wen Shen Zhanpeng Zhou YueFeng Chen Quanshi Zhang 33 14 0 17 Oct 2022
Optimal bump functions for shallow ReLU networks: Weight decay, depth separation and the curse of dimensionality Stephan Wojtowytsch 20 1 0 02 Sep 2022
On Feature Learning in Neural Networks with Global Convergence Guarantees Zhengdao Chen Eric Vanden-Eijnden Joan Bruna MLT 25 12 0 22 Apr 2022
A blob method for inhomogeneous diffusion with applications to multi-agent control and sampling Katy Craig Karthik Elamvazhuthi M. Haberland O. Turanova 27 15 0 25 Feb 2022
Provably convergent quasistatic dynamics for mean-field two-player zero-sum games Chao Ma Lexing Ying MLT 24 11 0 15 Feb 2022
Overview frequency principle/spectral bias in deep learning Z. Xu Yaoyu Zhang Tao Luo FaML 25 65 0 19 Jan 2022
Subspace Decomposition based DNN algorithm for elliptic type multi-scale PDEs Xi-An Li Z. Xu Lei Zhang 13 27 0 10 Dec 2021
A Deterministic Sampling Method via Maximum Mean Discrepancy Flow with Adaptive Kernel Yindong Chen Yiwei Wang Lulu Kang Chun Liu 18 1 0 21 Nov 2021
Toward Understanding Convolutional Neural Networks from Volterra Convolution Perspective Tenghui Li Guoxu Zhou Yuning Qiu Qianchuan Zhao FAtt 16 2 0 19 Oct 2021
A Riemannian Mean Field Formulation for Two-layer Neural Networks with Batch Normalization Chao Ma Lexing Ying MLT 14 2 0 17 Oct 2021
On the Global Convergence of Gradient Descent for multi-layer ResNets in the mean-field regime Zhiyan Ding Shi Chen Qin Li S. Wright MLT AI4CE 30 11 0 06 Oct 2021
On Procedural Adversarial Noise Attack And Defense Jun Yan Xiaoyang Deng Huilin Yin Wancheng Ge AAML 8 2 0 10 Aug 2021
Data-informed Deep Optimization Lulu Zhang Z. Xu Yaoyu Zhang AI4CE 19 3 0 17 Jul 2021
Generalization Error of GAN from the Discriminator's Perspective Hongkang Yang Weinan E GAN 38 13 0 08 Jul 2021
Shallow Representation is Deep: Learning Uncertainty-aware and Worst-case Random Feature Dynamics Diego Agudelo-España Yassine Nemmour Bernhard Schölkopf Jia-Jie Zhu OOD BDL 14 0 0 24 Jun 2021
Overparameterization of deep ResNet: zero loss and mean-field analysis Zhiyan Ding Shi Chen Qin Li S. Wright ODL 14 24 0 30 May 2021
An Upper Limit of Decaying Rate with Respect to Frequency in Deep Neural Network Tao Luo Zheng Ma Zhiwei Wang Z. Xu Yaoyu Zhang 4 4 0 25 May 2021
Deep limits and cut-off phenomena for neural networks B. Avelin A. Karlsson AI4CE 30 2 0 21 Apr 2021
Exact Gap between Generalization Error and Uniform Convergence in Random Feature Models Zitong Yang Yu Bai Song Mei 8 17 0 08 Mar 2021
SPINN: Sparse, Physics-based, and partially Interpretable Neural Networks for PDEs A. A. Ramabathiran P. Ramachandran PINN AI4CE 27 76 0 25 Feb 2021
Noisy Recurrent Neural Networks S. H. Lim N. Benjamin Erichson Liam Hodgkinson Michael W. Mahoney 4 52 0 09 Feb 2021
Frequency Principle in Deep Learning Beyond Gradient-descent-based Training Yuheng Ma Zhi-Qin John Xu Jiwei Zhang 19 7 0 04 Jan 2021
Fourier-domain Variational Formulation and Its Well-posedness for Supervised Learning Tao Luo Zheng Ma Zhiwei Wang Zhi-Qin John Xu Yaoyu Zhang OOD 25 4 0 06 Dec 2020
Generalization and Memorization: The Bias Potential Model Hongkang Yang E. Weinan 17 11 0 29 Nov 2020
On the exact computation of linear frequency principle dynamics and its generalization Tao Luo Zheng Ma Z. Xu Yaoyu Zhang 11 19 0 15 Oct 2020
Machine Learning and Computational Mathematics Weinan E PINN AI4CE 21 61 0 23 Sep 2020
Towards a Mathematical Understanding of Neural Network-Based Machine Learning: what we know and what we don't E. Weinan Chao Ma Stephan Wojtowytsch Lei Wu AI4CE 14 133 0 22 Sep 2020
Hierarchical Deep Learning of Multiscale Differential Equation Time-Steppers Yuying Liu N. Kutz Steven L. Brunton AI4TS 10 75 0 22 Aug 2020
A Dynamical Central Limit Theorem for Shallow Neural Networks Zhengdao Chen Grant M. Rotskoff Joan Bruna Eric Vanden-Eijnden 8 29 0 21 Aug 2020
Large-time asymptotics in deep learning Carlos Esteve Borjan Geshkovski Dario Pighin Enrique Zuazua 11 34 0 06 Aug 2020
On the Banach spaces associated with multi-layer ReLU networks: Function representation, approximation theory and gradient descent dynamics E. Weinan Stephan Wojtowytsch MLT 13 53 0 30 Jul 2020
Deep frequency principle towards understanding why deeper learning is faster Zhi-Qin John Xu Hanxu Zhou 8 44 0 28 Jul 2020
Understanding Recurrent Neural Networks Using Nonequilibrium Response Theory S. H. Lim 24 16 0 19 Jun 2020
Representation formulas and pointwise properties for Barron functions E. Weinan Stephan Wojtowytsch 20 79 0 10 Jun 2020
Machine Learning and Control Theory A. Bensoussan Yiqun Li Dinh Phan Cao Nguyen M. Tran S. Yam Xiang Zhou AI4CE 24 12 0 10 Jun 2020