Large-time asymptotics in deep learning

6 August 2020

Papers citing "Large-time asymptotics in deep learning"

23 / 23 papers shown

Title
Residual Connections and Normalization Can Provably Prevent Oversmoothing in GNNs Michael Scholkemper Xinyi Wu Ali Jadbabaie Michael T. Schaub 117 7 0 05 Jun 2024
On Dissipativity of Cross-Entropy Loss in Training ResNets Jens Püttschneider T. Faulwasser 50 0 0 29 May 2024
Analysis of the Geometric Structure of Neural Networks and Neural ODEs via Morse Functions Christian Kuehn Sara-Viola Kuntz 36 0 0 15 May 2024
Interplay between depth and width for interpolation in neural ODEs Antonio Álvarez-López Arselane Hadj Slimane Enrique Zuazua 54 7 0 18 Jan 2024
Normalizing flows as approximations of optimal transport maps via linear-control neural ODEs A. Scagliotti Sara Farinelli 43 3 0 02 Nov 2023
From NeurODEs to AutoencODEs: a mean-field control framework for width-varying Neural Networks Cristina Cipriani M. Fornasier Alessandro Scagliotti AI4CE 31 5 0 05 Jul 2023
Learning via nonlinear conjugate gradients and depth-varying neural ODEs George Baravdish Gabriel Eilertsen Rym Jaroudi B. Johansson Lukávs Malý Jonas Unger 38 3 0 11 Feb 2022
Sparsity in long-time control of neural ODEs C. Yagüe Borjan Geshkovski 31 8 0 26 Feb 2021
On the Turnpike to Design of Deep Neural Nets: Explicit Depth Bounds T. Faulwasser Arne-Jens Hempel S. Streif 37 5 0 08 Jan 2021
Control on the Manifolds of Mappings with a View to the Deep Learning A. Agrachev A. Sarychev AI4CE 16 6 0 28 Aug 2020
Universal Approximation Power of Deep Residual Neural Networks via Nonlinear Control Theory Paulo Tabuada Bahman Gharesifard 39 26 0 12 Jul 2020
Mean-Field Neural ODEs via Relaxed Optimal Control Jean-François Jabir D. vSivska Lukasz Szpruch MLT 11 39 0 11 Dec 2019
A Machine Learning Framework for Solving High-Dimensional Mean Field Game and Mean Field Control Problems Lars Ruthotto Stanley Osher Wuchen Li L. Nurbekyan Samy Wu Fung AI4CE 48 217 0 04 Dec 2019
Neural ODEs as the Deep Limit of ResNets with constant weights B. Avelin K. Nystrom ODL 54 31 0 28 Jun 2019
Neural Stochastic Differential Equations: Deep Latent Gaussian Models in the Diffusion Limit Belinda Tzen Maxim Raginsky DiffM 89 207 0 23 May 2019
Nonlinear Approximation and (Deep) ReLU Networks Ingrid Daubechies Ronald A. DeVore S. Foucart Boris Hanin G. Petrova 33 139 0 05 May 2019
Augmented Neural ODEs Emilien Dupont Arnaud Doucet Yee Whye Teh BDL 75 622 0 02 Apr 2019
FFJORD: Free-form Continuous Dynamics for Scalable Reversible Generative Models Will Grathwohl Ricky T. Q. Chen J. Bettencourt Ilya Sutskever David Duvenaud DRL 55 861 0 02 Oct 2018
A Tour of Reinforcement Learning: The View from Continuous Control Benjamin Recht 43 623 0 25 Jun 2018
Neural Ordinary Differential Equations T. Chen Yulia Rubanova J. Bettencourt David Duvenaud AI4CE 225 5,024 0 19 Jun 2018
Deep Neural Networks Motivated by Partial Differential Equations Lars Ruthotto E. Haber AI4CE 59 488 0 12 Apr 2018
Optimal Approximation with Sparsely Connected Deep Neural Networks Helmut Bölcskei Philipp Grohs Gitta Kutyniok P. Petersen 115 256 0 04 May 2017
Invariant Scattering Convolution Networks Joan Bruna S. Mallat 70 1,272 0 05 Mar 2012