Depth separation beyond radial functions

Depth separation beyond radial functions

2 February 2021

Joan Bruna

Papers citing "Depth separation beyond radial functions"

16 / 16 papers shown

Title
Spectral complexity of deep neural networks Simmaco Di Lillo Domenico Marinucci Michele Salvi Stefano Vigogna BDL 103 2 0 15 May 2024
On the Approximation Power of Two-Layer Networks of Random ReLUs Daniel J. Hsu Clayton Sanford Rocco A. Servedio Emmanouil-Vasileios Vlatakis-Gkaragkounis 48 25 0 03 Feb 2021
Depth separation for reduced deep networks in nonlinear model reduction: Distilling shock waves in nonlinear hyperbolic problems Donsub Rim Luca Venturi Joan Bruna Benjamin Peherstorfer 72 9 0 28 Jul 2020
Expressivity of Deep Neural Networks Ingo Gühring Mones Raslan Gitta Kutyniok 64 51 0 09 Jul 2020
Neural Networks with Small Weights and Depth-Separation Barriers Gal Vardi Ohad Shamir 45 18 0 31 May 2020
Depth-Width Trade-offs for ReLU Networks via Sharkovsky's Theorem Vaggos Chatziafratis Sai Ganesh Nagarajan Ioannis Panageas Tianlin Li 44 21 0 09 Dec 2019
Deep ReLU Networks Have Surprisingly Few Activation Patterns Boris Hanin David Rolnick 81 227 0 03 Jun 2019
On the Spectral Bias of Neural Networks Nasim Rahaman A. Baratin Devansh Arpit Felix Dräxler Min Lin Fred Hamprecht Yoshua Bengio Aaron Courville 152 1,439 0 22 Jun 2018
Optimal Approximation with Sparsely Connected Deep Neural Networks Helmut Bölcskei Philipp Grohs Gitta Kutyniok P. Petersen 197 255 0 04 May 2017
Depth Separation for Neural Networks Amit Daniely MDE 37 74 0 27 Feb 2017
Why and When Can Deep -- but Not Shallow -- Networks Avoid the Curse of Dimensionality: a Review T. Poggio H. Mhaskar Lorenzo Rosasco Brando Miranda Q. Liao 97 576 0 02 Nov 2016
Why Deep Neural Networks for Function Approximation? Shiyu Liang R. Srikant 132 385 0 13 Oct 2016
Exponential expressivity in deep neural networks through transient chaos Ben Poole Subhaneil Lahiri M. Raghu Jascha Narain Sohl-Dickstein Surya Ganguli 90 591 0 16 Jun 2016
The Power of Depth for Feedforward Neural Networks Ronen Eldan Ohad Shamir 216 732 0 12 Dec 2015
On the Number of Linear Regions of Deep Neural Networks Guido Montúfar Razvan Pascanu Kyunghyun Cho Yoshua Bengio 88 1,254 0 08 Feb 2014
On the number of response regions of deep feed forward networks with piece-wise linear activations Razvan Pascanu Guido Montúfar Yoshua Bengio FAtt 117 257 0 20 Dec 2013