On the Expressive Power of Deep Learning: A Tensor Analysis

16 September 2015

Papers citing "On the Expressive Power of Deep Learning: A Tensor Analysis"

46 / 246 papers shown

Title
On Data-Driven Saak Transform C.-C. Jay Kuo Yueru Chen AI4TS 21 93 0 11 Oct 2017
The Expressive Power of Neural Networks: A View from the Width Zhou Lu Hongming Pu Feicheng Wang Zhiqiang Hu Liwei Wang 22 880 0 08 Sep 2017
Unsupervised Generative Modeling Using Matrix Product States Zhaoyu Han Jun Wang H. Fan Lei Wang Pan Zhang 24 268 0 06 Sep 2017
Tensor Networks for Dimensionality Reduction and Large-Scale Optimizations. Part 2 Applications and Future Perspectives A. Cichocki Anh-Huy Phan Qibin Zhao Namgil Lee Ivan Oseledets Masashi Sugiyama Danilo P. Mandic 26 296 0 30 Aug 2017
Multi-Layer Convolutional Sparse Modeling: Pursuit and Dictionary Learning Jeremias Sulam Vardan Papyan Yaniv Romano Michael Elad 29 111 0 29 Aug 2017
On the Compressive Power of Deep Rectifier Networks for High Resolution Representation of Class Boundaries Senjian An Bennamoun F. Boussaïd 20 2 0 24 Aug 2017
Newton-Type Methods for Non-Convex Optimization Under Inexact Hessian Information Peng Xu Farbod Roosta-Khorasani Michael W. Mahoney 34 210 0 23 Aug 2017
Tensor Regression Networks Jean Kossaifi Zachary Chase Lipton Arinbjorn Kolbeinsson Aran Khanna Tommaso Furlanello Anima Anandkumar 3DV 43 145 0 26 Jul 2017
Do Neural Nets Learn Statistical Laws behind Natural Language? Shuntaro Takahashi Kumiko Tanaka-Ishii 38 27 0 16 Jul 2017
Between Homomorphic Signal Processing and Deep Neural Networks: Constructing Deep Algorithms for Polyphonic Music Transcription Li Su 10 21 0 26 Jun 2017
Neural networks and rational functions Matus Telgarsky 22 81 0 11 Jun 2017
Recovery Guarantees for One-hidden-layer Neural Networks Kai Zhong Zhao Song Prateek Jain Peter L. Bartlett Inderjit S. Dhillon MLT 34 336 0 10 Jun 2017
Tensor Contraction Layers for Parsimonious Deep Nets Jean Kossaifi Aran Khanna Zachary Chase Lipton Tommaso Furlanello Anima Anandkumar 29 60 0 01 Jun 2017
Fast learning rate of deep learning via a kernel perspective Taiji Suzuki 18 6 0 29 May 2017
The power of deeper networks for expressing natural functions David Rolnick Max Tegmark 36 174 0 16 May 2017
Analysis and Design of Convolutional Networks via Hierarchical Tensor Decompositions Nadav Cohen Or Sharir Yoav Levine Ronen Tamari David Yakira Amnon Shashua 20 38 0 05 May 2017
Optimal Approximation with Sparsely Connected Deep Neural Networks Helmut Bölcskei Philipp Grohs Gitta Kutyniok P. Petersen 32 255 0 04 May 2017
Deep Learning and Quantum Entanglement: Fundamental Connections with Implications to Network Design Yoav Levine David Yakira Nadav Cohen Amnon Shashua 26 126 0 05 Apr 2017
From Deep to Shallow: Transformations of Deep Rectifier Networks Senjian An F. Boussaïd Bennamoun Jiankun Hu 21 2 0 30 Mar 2017
Deep Radial Kernel Networks: Approximating Radially Symmetric Functions with Deep Networks B. McCane Lech Szymanski 41 6 0 09 Mar 2017
Nearly-tight VC-dimension and pseudodimension bounds for piecewise linear neural networks Peter L. Bartlett Nick Harvey Christopher Liaw Abbas Mehrabian 16 425 0 08 Mar 2017
On the Expressive Power of Overlapping Architectures of Deep Learning Or Sharir Amnon Shashua 21 10 0 06 Mar 2017
How ConvNets model Non-linear Transformations Dipan K. Pal Marios Savvides 21 0 0 24 Feb 2017
On the ability of neural nets to express distributions Holden Lee Rong Ge Tengyu Ma Andrej Risteski Sanjeev Arora BDL 18 84 0 22 Feb 2017
Equivalence of restricted Boltzmann machines and tensor network states Martín Arjovsky Song Cheng Haidong Xie Léon Bottou Tao Xiang 24 225 0 17 Jan 2017
Deep Learning and Hierarchal Generative Models Elchanan Mossel BDL GAN 25 23 0 29 Dec 2016
An Overview on Data Representation Learning: From Traditional Feature Learning to Recent Deep Learning G. Zhong Lina Wang Junyu Dong AI4TS 36 180 0 25 Nov 2016
The Shallow End: Empowering Shallower Deep-Convolutional Networks through Auxiliary Outputs Yong Guo Jian Chen Qingyao Wu Anton Van Den Hengel Javen Qinfeng Shi Mingkui Tan 19 13 0 06 Nov 2016
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 16 573 0 02 Nov 2016
Depth-Width Tradeoffs in Approximating Natural Functions with Neural Networks Itay Safran Ohad Shamir 28 174 0 31 Oct 2016
TensorLy: Tensor Learning in Python Jean Kossaifi Yannis Panagakis Anima Anandkumar M. Pantic 29 351 0 29 Oct 2016
Tensorial Mixture Models Or Sharir Ronen Tamari Nadav Cohen Amnon Shashua TPM 21 25 0 13 Oct 2016
Error bounds for approximations with deep ReLU networks Dmitry Yarotsky 42 1,223 0 03 Oct 2016
Understanding Convolutional Neural Networks with A Mathematical Model C.-C. Jay Kuo FAtt 21 371 0 14 Sep 2016
AdaNet: Adaptive Structural Learning of Artificial Neural Networks Corinna Cortes X. Gonzalvo Vitaly Kuznetsov M. Mohri Scott Yang 29 282 0 05 Jul 2016
On the Expressive Power of Deep Neural Networks M. Raghu Ben Poole Jon M. Kleinberg Surya Ganguli Jascha Narain Sohl-Dickstein 29 777 0 16 Jun 2016
Spectral Methods for Correlated Topic Models Forough Arabshahi Anima Anandkumar OOD 28 2 0 30 May 2016
Robust Large Margin Deep Neural Networks Jure Sokolić Raja Giryes Guillermo Sapiro M. Rodrigues 26 307 0 26 May 2016
Inductive Bias of Deep Convolutional Networks through Pooling Geometry Nadav Cohen Amnon Shashua 22 132 0 22 May 2016
Learning to Discover Sparse Graphical Models Eugene Belilovsky Kyle Kastner Gaël Varoquaux Matthew Blaschko CML 20 30 0 20 May 2016
Convolutional Rectifier Networks as Generalized Tensor Decompositions Nadav Cohen Amnon Shashua 20 152 0 01 Mar 2016
On Complex Valued Convolutional Neural Networks Nitzan Guberman CVBM 25 133 0 29 Feb 2016
Efficient Representation of Low-Dimensional Manifolds using Deep Networks Ronen Basri David Jacobs 3DPC 6 44 0 15 Feb 2016
The Power of Depth for Feedforward Neural Networks Ronen Eldan Ohad Shamir 65 731 0 12 Dec 2015
Representation Benefits of Deep Feedforward Networks Matus Telgarsky 11 242 0 27 Sep 2015
A Clustering Approach to Learn Sparsely-Used Overcomplete Dictionaries Alekh Agarwal Anima Anandkumar Praneeth Netrapalli 60 50 0 08 Sep 2013