Quantum machine learning: a classical perspective

C Ciliberto, M Herbster, AD Ialongo… - … of the Royal …, 2018 - royalsocietypublishing.org
Recently, increased computational power and data availability, as well as algorithmic
advances, have led machine learning (ML) techniques to impressive results in regression …

Low-rank tensor methods for partial differential equations

M Bachmayr - Acta Numerica, 2023 - cambridge.org
Low-rank tensor representations can provide highly compressed approximations of
functions. These concepts, which essentially amount to generalizations of classical …

Low-rank high-order tensor completion with applications in visual data

W Qin, H Wang, F Zhang, J Wang… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
Recently, tensor Singular Value Decomposition (t-SVD)-based low-rank tensor completion
(LRTC) has achieved unprecedented success in addressing various pattern analysis issues …

Tensor robust principal component analysis: Exact recovery of corrupted low-rank tensors via convex optimization

C Lu, J Feng, Y Chen, W Liu, Z Lin… - Proceedings of the IEEE …, 2016 - cv-foundation.org
This paper studies the Tensor Robust Principal Component (TRPCA) problem which
extends the known Robust PCA to the tensor case. Our model is based on a new tensor …

Tensor decompositions for signal processing applications: From two-way to multiway component analysis

A Cichocki, D Mandic, L De Lathauwer… - IEEE signal …, 2015 - ieeexplore.ieee.org
The widespread use of multisensor technology and the emergence of big data sets have
highlighted the limitations of standard flat-view matrix models and the necessity to move …

Tensor factorization for low-rank tensor completion

P Zhou, C Lu, Z Lin, C Zhang - IEEE Transactions on Image …, 2017 - ieeexplore.ieee.org
Recently, a tensor nuclear norm (TNN) based method was proposed to solve the tensor
completion problem, which has achieved state-of-the-art performance on image and video …

Tensor completion algorithms in big data analytics

Q Song, H Ge, J Caverlee, X Hu - ACM Transactions on Knowledge …, 2019 - dl.acm.org
Tensor completion is a problem of filling the missing or unobserved entries of partially
observed tensors. Due to the multidimensional character of tensors in describing complex …

Bayesian CP factorization of incomplete tensors with automatic rank determination

Q Zhao, L Zhang, A Cichocki - IEEE transactions on pattern …, 2015 - ieeexplore.ieee.org
CANDECOMP/PARAFAC (CP) tensor factorization of incomplete data is a powerful
technique for tensor completion through explicitly capturing the multilinear latent factors. The …

Guaranteed tensor recovery fused low-rankness and smoothness

H Wang, J Peng, W Qin, J Wang… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
Tensor recovery is a fundamental problem in tensor research field. It generally requires to
explore intrinsic prior structures underlying tensor data, and formulate them as certain forms …

Tensor-based formulation and nuclear norm regularization for multienergy computed tomography

O Semerci, N Hao, ME Kilmer… - IEEE Transactions on …, 2014 - ieeexplore.ieee.org
The development of energy selective, photon counting X-ray detectors allows for a wide
range of new possibilities in the area of computed tomographic image formation. Under the …