Tensor analysis and applications

This work is from 2012-2019 with two PhD students in ECE and several UG, MS, PhD (Math, CS), and post-docs at Tufts as well as Purdue University, IN and Columbia University, New York. The work is supported by two grants from NSF CCF including my CAREER grant. This work has had a huge impact and continues to have an impact in terms of advancing multidimensional data analytics. Below is a partial list of publications on this topic.

Zhang, Zemin; Ely, Gregory; Aeron, Shuchin; Hao, Ning; Kilmer, Misha; Novel methods for multilinear data completion and de-noising based on tensor-SVD, Proceedings of the IEEE conference on computer vision and pattern recognition, 3842-3849, 2014
Zhang, Zemin; Aeron, Shuchin; Exact tensor completion using t-SVD, IEEE Transactions on Signal Processing, 65, 6, 1511-1526, 2016
Ely, Gregory; Aeron, Shuchin; Hao, Ning; Kilmer, Misha E; 5D seismic data completion and denoising using a novel class of tensor decompositions,Geophysics, 80 ,4, V83-V95, 2015, Society of Exploration Geophysicists
Zhang, Zemin; Aeron, Shuchin; Denoising and completion of 3D data via multidimensional dictionary learning, IJCAI, 2015
Kernfeld, Eric; Kilmer, Misha; Aeron, Shuchin; Tensor–tensor products with invertible linear transforms, Linear Algebra and its Applications, 485, 545-570, 2015, North-Holland
Liu, Xiao-Yang; Aeron, Shuchin; Aggarwal, Vaneet; Wang, Xiaodong; Low-tubal-rank tensor completion using alternating minimization,IEEE Transactions on Information Theory, 66, 3, 1714-1737, 2019
Zhang, Jiani; Saibaba, Arvind K; Kilmer, Misha E; Aeron, Shuchin; A randomized tensor singular value decomposition based on the t‐product, Numerical Linear Algebra with Applications, 25, 5, e2179, 2018
Wang, Wenqi; Aggarwal, Vaneet; Aeron, Shuchin; Efficient low rank tensor ring completion, Proceedings of the IEEE International Conference on Computer Vision, 5697-5705, 2017
Wang, Wenqi; Aggarwal, Vaneet; Aeron, Shuchin; Tensor train neighborhood preserving embedding, IEEE Transactions on Signal Processing, 66, 10, 2724-2732, 2018