Depth Creates No Bad Local Minima

27 February 2017

Papers citing "Depth Creates No Bad Local Minima"

22 / 22 papers shown

Title
System Identification and Control Using Lyapunov-Based Deep Neural Networks without Persistent Excitation: A Concurrent Learning Approach Rebecca G. Hart Omkar Sudhir Patil Zachary I. Bell Warren E. Dixon 14 0 0 15 May 2025
Mean-Field Analysis for Learning Subspace-Sparse Polynomials with Gaussian Input Ziang Chen Rong Ge MLT 61 1 0 10 Jan 2025
Function Space and Critical Points of Linear Convolutional Networks Kathlén Kohn Guido Montúfar Vahid Shahverdi Matthew Trager 26 11 0 12 Apr 2023
Critical Points and Convergence Analysis of Generative Deep Linear Networks Trained with Bures-Wasserstein Loss Pierre Bréchet Katerina Papagiannouli Jing An Guido Montúfar 33 3 0 06 Mar 2023
When Expressivity Meets Trainability: Fewer than $n$ Neurons Can Work Jiawei Zhang Yushun Zhang Mingyi Hong Ruoyu Sun Zhi-Quan Luo 29 10 0 21 Oct 2022
Exact Solutions of a Deep Linear Network Liu Ziyin Botao Li Xiangmin Meng ODL 19 21 0 10 Feb 2022
The loss landscape of deep linear neural networks: a second-order analysis El Mehdi Achour Franccois Malgouyres Sébastien Gerchinovitz ODL 24 9 0 28 Jul 2021
Optimization for deep learning: theory and algorithms Ruoyu Sun ODL 25 168 0 19 Dec 2019
Weight-space symmetry in deep networks gives rise to permutation saddles, connected by equal-loss valleys across the loss landscape Johanni Brea Berfin Simsek Bernd Illing W. Gerstner 23 55 0 05 Jul 2019
Interpretable Few-Shot Learning via Linear Distillation Arip Asadulaev Igor Kuznetsov Andrey Filchenkov FedML FAtt 11 1 0 13 Jun 2019
Width Provably Matters in Optimization for Deep Linear Neural Networks S. Du Wei Hu 21 94 0 24 Jan 2019
Non-attracting Regions of Local Minima in Deep and Wide Neural Networks Henning Petzka C. Sminchisescu 29 9 0 16 Dec 2018
Gradient descent aligns the layers of deep linear networks Ziwei Ji Matus Telgarsky 30 248 0 04 Oct 2018
On the loss landscape of a class of deep neural networks with no bad local valleys Quynh N. Nguyen Mahesh Chandra Mukkamala Matthias Hein 16 87 0 27 Sep 2018
Exponential Convergence Time of Gradient Descent for One-Dimensional Deep Linear Neural Networks Ohad Shamir 35 45 0 23 Sep 2018
Deep Neural Networks with Multi-Branch Architectures Are Less Non-Convex Hongyang R. Zhang Junru Shao Ruslan Salakhutdinov 39 14 0 06 Jun 2018
Understanding Batch Normalization Johan Bjorck Carla P. Gomes B. Selman Kilian Q. Weinberger 21 593 0 01 Jun 2018
Mad Max: Affine Spline Insights into Deep Learning Randall Balestriero Richard Baraniuk AI4CE 31 78 0 17 May 2018
The Global Optimization Geometry of Shallow Linear Neural Networks Zhihui Zhu Daniel Soudry Yonina C. Eldar M. Wakin ODL 18 36 0 13 May 2018
Visualizing the Loss Landscape of Neural Nets Hao Li Zheng Xu Gavin Taylor Christoph Studer Tom Goldstein 106 1,848 0 28 Dec 2017
Global optimality conditions for deep neural networks Chulhee Yun S. Sra Ali Jadbabaie 128 117 0 08 Jul 2017
The Loss Surfaces of Multilayer Networks A. Choromańska Mikael Henaff Michaël Mathieu Gerard Ben Arous Yann LeCun ODL 183 1,185 0 30 Nov 2014