1.4k citations · 5.9k across the 68 of their papers we have counts for
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Quadratic Programming Over Ellipsoids (with Applications to Constrained Linear Regression and Tensor Decomposition)
Anh-Huy Phan, Masao Yamagishi, Danilo Mandic +1
A novel algorithm to solve the quadratic programming problem over ellipsoids is proposed. This is achieved by splitting the problem into two optimisation sub-problems, quadratic pr…
Error Preserving Correction for CPD and Bounded-Norm CPD
Anh-Huy Phan, Petr Tichavský, Andrzej Cichocki
In CANDECOMP/PARAFAC tensor decomposition, degeneracy often occurs in some difficult scenarios, e.g., when the rank exceeds the tensor dimension, or when the loading components are…
Best Rank-One Tensor Approximation and Parallel Update Algorithm for CPD
Anh-Huy Phan, Petr Tichavský, Andrzej Cichocki
A novel algorithm is proposed for CANDECOMP/PARAFAC tensor decomposition to exploit best rank-1 tensor approximation. Different from the existing algorithms, our algorithm updates…
Tensor Networks for Dimensionality Reduction and Large-Scale Optimizations. Part 2 Applications and Future Perspectives
A. Cichocki, A-H. Phan, Q. Zhao +4
Part 2 of this monograph builds on the introduction to tensor networks and their operations presented in Part 1. It focuses on tensor network models for super-compressed higher-ord…
Continuous use of ERP-based BCIs with different visual angles in ALS patients
Jing Jin, Brendan Z. Allison, Yu Zhang +5
Objective: Amyotrophic lateral sclerosis (ALS) is a rare disease, but is also one of the most common motor neuron diseases, and people of all races and ethnic backgrounds are affec…
Learning Efficient Tensor Representations with Ring Structure Networks
Qibin Zhao, Masashi Sugiyama, Andrzej Cichocki
Tensor train (TT) decomposition is a powerful representation for high-order tensors, which has been successfully applied to various machine learning tasks in recent years. However,…