Tensor networks for dimensionality reduction and large-scale optimization: Part 1 low-rank tensor decompositions

A Cichocki, N Lee, I Oseledets, AH Phan… - … and Trends® in …, 2016 - nowpublishers.com
Modern applications in engineering and data science are increasingly based on
multidimensional data of exceedingly high volume, variety, and structural richness …

Low-rank tensor networks for dimensionality reduction and large-scale optimization problems: Perspectives and challenges part 1

A Cichocki, N Lee, IV Oseledets, AH Phan… - arxiv preprint arxiv …, 2016 - arxiv.org
Machine learning and data mining algorithms are becoming increasingly important in
analyzing large volume, multi-relational and multi--modal datasets, which are often …

A survey on tensor techniques and applications in machine learning

Y Ji, Q Wang, X Li, J Liu - IEEE Access, 2019 - ieeexplore.ieee.org
This survey gives a comprehensive overview of tensor techniques and applications in
machine learning. Tensor represents higher order statistics. Nowadays, many applications …

Network decoupling: From regular to depthwise separable convolutions

J Guo, Y Li, W Lin, Y Chen, J Li - arxiv preprint arxiv:1808.05517, 2018 - arxiv.org
Depthwise separable convolution has shown great efficiency in network design, but requires
time-consuming training procedure with full training-set available. This paper first analyzes …

Differentiable learning-to-group channels via groupable convolutional neural networks

Z Zhang, J Li, W Shao, Z Peng… - Proceedings of the …, 2019 - openaccess.thecvf.com
Group convolution, which divides the channels of ConvNets into groups, has achieved
impressive improvement over the regular convolution operation. However, existing models …

Dominant Z-Eigenpairs of Tensor Kronecker Products Decouple

C Colley, H Nassar, DF Gleich - SIAM Journal on Matrix Analysis and …, 2023 - SIAM
Tensor Kronecker products, the natural generalization of the matrix Kronecker product, are
independently emerging in multiple research communities. Like their matrix counterpart, the …

A Tensor Network Kalman filter with an application in recursive MIMO Volterra system identification

K Batselier, Z Chen, N Wong - Automatica, 2017 - Elsevier
This article introduces a Tensor Network Kalman filter, which can estimate state vectors that
are exponentially large without ever having to explicitly construct them. The Tensor Network …

A Deep‐Learning Model with Learnable Group Convolution and Deep Supervision for Brain Tumor Segmentation

H Liu, Q Li, IC Wang - Mathematical Problems in Engineering, 2021 - Wiley Online Library
The segmentation of brain tumors in medical images is a crucial step of clinical treatment.
Manual segmentation is time consuming and labor intensive, and existing automatic …

Position: Tensor Networks are a Valuable Asset for Green AI

E Memmel, C Menzen, J Schuurmans, F Wesel… - arxiv preprint arxiv …, 2022 - arxiv.org
For the first time, this position paper introduces a fundamental link between tensor networks
(TNs) and Green AI, highlighting their synergistic potential to enhance both the inclusivity …

A method to pan-sharpen SAR amplitude data via electromagnetic reflectance similarities

A Salehi, A Estiri, MM Salehi… - … Journal of Remote …, 2023 - Taylor & Francis
For a long time, the idea of fusing synthetic radar imagery (SAR) and higher-resolution
panchromatic imagery, with the aim of increasing the spatial resolution of radar imagery, has …