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Bayesian tensorized neural networks with automatic rank selection

Journal Article · · Neurocomputing
 [1];  [1]
  1. University of California, Santa Barbara, CA (United States)
Tensor decomposition is an effective approach to compress over-parameterized neural networks and to enable their deployment on resource-constrained hardware platforms. However, directly applying tensor compression in the training process is a challenging task due to the difficulty of choosing a proper tensor rank. In order to address this challenge, this paper proposes a low-rank Bayesian tensorized neural network. Our Bayesian method performs automatic model compression via an adaptive tensor rank determination. We also present approaches for posterior density calculation and maximum a posteriori (MAP) estimation for the end-to-end training of our tensorized neural network. Here, we provide experimental validation on a two-layer fully connected neural network, a 6-layer CNN and a 110-layer residual neural network where our work produces 7.4x to 137x more compact neural networks directly from the training while achieving high prediction accuracy.
Research Organization:
University of California, Santa Barbara, CA (United States)
Sponsoring Organization:
National Science Foundation (NSF); USDOE
Grant/Contract Number:
SC0021323
OSTI ID:
2875828
Journal Information:
Neurocomputing, Journal Name: Neurocomputing Vol. 453; ISSN 0925-2312
Publisher:
Elsevier BVCopyright Statement
Country of Publication:
United States
Language:
English

References (16)

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Tensor completion and low-n-rank tensor recovery via convex optimization journal January 2011
Wide Compression: Tensor Ring Nets conference June 2018
Bayesian Robust Tensor Factorization for Incomplete Multiway Data journal April 2016
Tensor Completion for Estimating Missing Values in Visual Data journal January 2013
Bayesian CP Factorization of Incomplete Tensors with Automatic Rank Determination journal September 2015
Rank Regularization and Bayesian Inference for Tensor Completion and Extrapolation journal November 2013
Guaranteed Minimum-Rank Solutions of Linear Matrix Equations via Nuclear Norm Minimization journal January 2010
Tensor Decompositions and Applications journal August 2009
Tensor-Train Decomposition journal January 2011
The Alternating Linear Scheme for Tensor Optimization in the Tensor Train Format journal January 2012
Alternating Minimal Energy Methods for Linear Systems in Higher Dimensions journal January 2014
Keeping the neural networks simple by minimizing the description length of the weights conference January 1993
Most Tensor Problems Are NP-Hard journal November 2013

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