Robust Training and Initialization of Deep Neural Networks: An Adaptive
Basis Viewpoint

Robust Training and Initialization of Deep Neural Networks: An Adaptive Basis Viewpoint

10 December 2019

Mamikon A. Gulian

Papers citing "Robust Training and Initialization of Deep Neural Networks: An Adaptive Basis Viewpoint"

17 / 17 papers shown

Title
Anant-Net: Breaking the Curse of Dimensionality with Scalable and Interpretable Neural Surrogate for High-Dimensional PDEs Sidharth S. Menon Ameya D. Jagtap PINN 130 0 0 06 May 2025
Fourier PINNs: From Strong Boundary Conditions to Adaptive Fourier Bases Madison Cooley Varun Shankar Robert M. Kirby Shandian Zhe 24 2 0 04 Oct 2024
Polynomial-Augmented Neural Networks (PANNs) with Weak Orthogonality Constraints for Enhanced Function and PDE Approximation Madison Cooley Shandian Zhe Robert M. Kirby Varun Shankar 54 1 0 04 Jun 2024
Graph Neural Networks and Applied Linear Algebra Nicholas S. Moore Eric C. Cyr Peter Ohm C. Siefert R. Tuminaro 22 4 0 21 Oct 2023
Training-Free Neural Active Learning with Initialization-Robustness Guarantees Apivich Hemachandra Zhongxiang Dai Jasraj Singh See-Kiong Ng K. H. Low AAML 30 6 0 07 Jun 2023
Solving Elliptic Problems with Singular Sources using Singularity Splitting Deep Ritz Method Tianhao Hu Bangti Jin Zhi Zhou 23 6 0 07 Sep 2022
Sparse Deep Neural Network for Nonlinear Partial Differential Equations Yuesheng Xu T. Zeng 30 5 0 27 Jul 2022
Anisotropic, Sparse and Interpretable Physics-Informed Neural Networks for PDEs A. A. Ramabathiran P. Ramachandran AI4CE 19 0 0 01 Jul 2022
Numerical Computation of Partial Differential Equations by Hidden-Layer Concatenated Extreme Learning Machine Naxian Ni S. Dong 22 20 0 24 Apr 2022
Numerical Approximation of Partial Differential Equations by a Variable Projection Method with Artificial Neural Networks S. Dong Jielin Yang 34 17 0 24 Jan 2022
slimTrain -- A Stochastic Approximation Method for Training Separable Deep Neural Networks Elizabeth Newman Julianne Chung Matthias Chung Lars Ruthotto 39 6 0 28 Sep 2021
Exact imposition of boundary conditions with distance functions in physics-informed deep neural networks N. Sukumar Ankit Srivastava PINN AI4CE 41 241 0 17 Apr 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
Partition of unity networks: deep hp-approximation Kookjin Lee N. Trask Ravi G. Patel Mamikon A. Gulian E. Cyr 14 30 0 27 Jan 2021
Deep Neural Networks Are Effective At Learning High-Dimensional Hilbert-Valued Functions From Limited Data Ben Adcock Simone Brugiapaglia N. Dexter S. Moraga 34 29 0 11 Dec 2020
A block coordinate descent optimizer for classification problems exploiting convexity Ravi G. Patel N. Trask Mamikon A. Gulian E. Cyr ODL 22 7 0 17 Jun 2020
Data-driven learning of robust nonlocal physics from high-fidelity synthetic data Huaiqian You Yue Yu Nathaniel Trask Mamikon A. Gulian M. DÉlia 17 35 0 17 May 2020