Lower and Upper Bounds on the VC-Dimension of Tensor Network Models

22 June 2021

Papers citing "Lower and Upper Bounds on the VC-Dimension of Tensor Network Models"

28 / 28 papers shown

Title
Quantum Tensor Networks, Stochastic Processes, and Weighted Automata Siddarth Srinivasan Sandesh Adhikary Jacob Miller Guillaume Rabusseau Byron Boots 25 15 0 20 Oct 2020
Supervised Learning with Projected Entangled Pair States Song Cheng Lei Wang Pan Zhang 74 56 0 12 Sep 2020
Learning with tree tensor networks: complexity estimates and model selection Bertrand Michel A. Nouy 36 15 0 02 Jul 2020
Partial Trace Regression and Low-Rank Kraus Decomposition Hachem Kadri Stéphane Ayache Riikka Huusari A. Rakotomamonjy L. Ralaivola 124 4 0 02 Jul 2020
Tensor Networks for Medical Image Classification Raghavendra Selvan Erik Dam 91 37 0 21 Apr 2020
Expressive power of tensor-network factorizations for probabilistic modeling, with applications from hidden Markov models to quantum machine learning I. Glasser R. Sweke Nicola Pancotti Jens Eisert J. I. Cirac 45 125 0 08 Jul 2019
On Low-rank Trace Regression under General Sampling Distribution N. Hamidi Mohsen Bayati 63 14 0 18 Apr 2019
Tensor Ring Decomposition with Rank Minimization on Latent Space: An Efficient Approach for Tensor Completion Longhao Yuan Chong Li Danilo P. Mandic Jianting Cao Qibin Zhao 45 172 0 07 Sep 2018
From probabilistic graphical models to generalized tensor networks for supervised learning I. Glasser Nicola Pancotti J. I. Cirac AI4CE 80 75 0 15 Jun 2018
Wide Compression: Tensor Ring Nets Wenqi Wang Yifan Sun Brian Eriksson Wenlin Wang Vaneet Aggarwal 64 169 0 25 Feb 2018
Learning Relevant Features of Data with Multi-scale Tensor Networks Tayssir Doghri 101 138 0 31 Dec 2017
Expressive power of recurrent neural networks Valentin Khrulkov Alexander Novikov Ivan Oseledets 84 112 0 02 Nov 2017
Tensor Regression Meets Gaussian Processes Rose Yu Max Guangyu Li Yan Liu BDL 41 32 0 31 Oct 2017
Scalable Gaussian Processes with Billions of Inducing Inputs via Tensor Train Decomposition Pavel Izmailov Alexander Novikov D. Kropotov 52 62 0 19 Oct 2017
Tensor-Based Classifiers for Hyperspectral Data Analysis Konstantinos Makantasis Anastasios Doulamis N. Doulamis A. Nikitakis 26 108 0 24 Sep 2017
Unsupervised Generative Modeling Using Matrix Product States Zhaoyu Han Jun Wang H. Fan Lei Wang Pan Zhang 102 271 0 06 Sep 2017
On Tensor Train Rank Minimization: Statistical Efficiency and Scalable Algorithm Masaaki Imaizumi Takanori Maehara K. Hayashi 55 36 0 01 Aug 2017
Efficient Low Rank Tensor Ring Completion Wenqi Wang Vaneet Aggarwal Shuchin Aeron 56 179 0 23 Jul 2017
Tensor-Train Recurrent Neural Networks for Video Classification Yinchong Yang Denis Krompass Volker Tresp 68 243 0 06 Jul 2017
Parallelized Tensor Train Learning of Polynomial Classifiers Zhongming Chen Kim Batselier Johan A. K. Suykens Ngai Wong 52 46 0 20 Dec 2016
Tensor Completion by Alternating Minimization under the Tensor Train (TT) Model Wenqi Wang Vaneet Aggarwal Shuchin Aeron 39 45 0 19 Sep 2016
Tensor Ring Decomposition Qibin Zhao Guoxu Zhou Shengli Xie Liqing Zhang A. Cichocki 64 360 0 17 Jun 2016
Tensorizing Neural Networks Alexander Novikov D. Podoprikhin A. Osokin Dmitry Vetrov 112 882 0 22 Sep 2015
On the Expressive Power of Deep Learning: A Tensor Analysis Nadav Cohen Or Sharir Amnon Shashua 81 471 0 16 Sep 2015
Optimal Estimation of Low Rank Density Matrices V. Koltchinskii Dong Xia 51 41 0 17 Jul 2015
Asymptotic equivalence of quantum state tomography and noisy matrix completion Yazhen Wang 79 26 0 20 Nov 2013
Convex Tensor Decomposition via Structured Schatten Norm Regularization Ryota Tomioka Taiji Suzuki 64 152 0 26 Mar 2013
Guaranteed Minimum-Rank Solutions of Linear Matrix Equations via Nuclear Norm Minimization Benjamin Recht Maryam Fazel P. Parrilo 416 3,768 0 28 Jun 2007