Noisy Tensor Completion for Tensors With a Sparse Canonical Polyadic Factor



Noisy Tensor Completion for Tensors With a Sparse Canonical Polyadic Factor

Noisy Tensor Completion for Tensors With a Sparse Canonical Polyadic Factor
Research Paper / IEEE International Symposium on Information Theory (ISIT) / Feb 2017 / Image Processing, Machine/Deep Learning/AI

“To be considered for the 2017 IEEE Jack Keil Wolf ISIT Student Paper Award.” In this paper we study the problem of noisy tensor completion for tensors that admit a canonical polyadic or CANDE-COMP/PARAFAC (CP) decomposition with one of the factors being sparse. We present general theoretical error bounds for an estimate obtained by using a complexity-regularized maximum likelihood principle and then instantiate these bounds for the case of additive white Gaussian noise. We also provide an ADMM-type algorithm for solving the complexity-regularized maximum likelihood problem and validate the theoretical finding via experiments on synthetic data set.

Download Now


Related Content

An Annotated Video Dataset for Computing Video Memorability
RESEARCH PAPER / Dec 2021 / Image processing
Using a collection of publicly available links to short form video clips of an average of 6 seconds duration each, 1,275 users manually annotated each video multiple times to indicate both longterm and short-term memorability of the videos. The annotations were gathered as part of an online memory game and...
Compact and Adaptive Multiplane Images for View Synthesis
RESEARCH PAPER / Sep 2021 / Video coding, Machine learning/ Deep learning /Artificial Intelligence, Image processing, Computer Graphics
Recently, learning methods have been designed to create Multiplane Images (MPIs) for view synthesis. While MPIs are extremely powerful and facilitate high quality renderings, a great amount of memory is required, making them impractical for many applications. In this paper, we propose a learning method that optimizes the available memory...
Deep learning applied to quad pixel plenoptic sensor
RESEARCH PAPER / Sep 2021 / Optics, Machine learning/ Deep learning /Artificial Intelligence, Image processing
In recent years, we have seen the development of integrated plenoptic sensors, where multiple pixels are placed under one microlens. It is mainly used by cameras and smartphones to drive the autofocus of the main lens, and it often takes the form of dual-pixels with 2 rectangular sub-pixels. We study...
Patent Holdout and the Quest for Balance in SEP Lice...
WEBINAR / Apr 2022
Understanding 3EMS: Energy Efficient Enhanced Media ...
WEBINAR / Dec 2021
The Challenge of Choosing Sustainability in the Vide...
WEBINAR / Apr 2021
Justice Policy Would Erode U.S. Competitiveness
BLOG / May 2022 / Posted By: InterDigital Comms
World IP Day: the power of youth
BLOG / Apr 2022 / Posted By: Simona Popa | Senior Director, Government Relations and Regulatory Affairs
Earth Day 2022: Reflections on InterDigital’s Enviro...
BLOG / Apr 2022 / Posted By: InterDigital Comms

ready to
learn more?

CONTACT INVESTORS
InterDigital logo in white

   © COPYRIGHT 2022 INTERDIGITAL, INC. ALL RIGHTS RESERVED.