Title
Performance Analysis for Tensor-Train Decomposition to Deep Neural Network Based Vector-to-Vector Regression
Abstract
This work focuses on a performance analysis of tensor-train decomposition applied to the deep neural network (DNN) based vector-to-vector regression. Tensor-train Network (TTN), obtained through tensor-train decomposition, converts a DNN based vector-to-vector regression into a tensor-to-vector mapping with fewer parameters. We can therefore build an over-parametrized DNN with the tensor-train representation such that the optimization error can be significantly reduced, while the upper bounds on the approximation and estimation errors can be maintained. We compare TTN-based neural architecture against an over-parametrized DNN on the MNIST dataset, and the experimental evidence demonstrates the validity of our conjectures on our proposed performance bounds.
Year
DOI
Venue
2020
10.1109/CISS48834.2020.1570617364
2020 54th Annual Conference on Information Sciences and Systems (CISS)
Keywords
DocType
ISBN
Tensor-train decomposition,deep neural network,vector-to-vector regression,over-parameterization,tensorto-vector regression
Conference
978-1-7281-8831-7
Citations 
PageRank 
References 
0
0.34
6
Authors
5
Name
Order
Citations
PageRank
Jun Qi1113.96
Xiaoli Ma21412105.25
Chin-Hui Lee36101852.71
Jun Du47617.84
Sabato Marco Siniscalchi531030.21