Nonconvex optimization meets low-rank matrix factorization: An overview

Y Chi, YM Lu, Y Chen - IEEE Transactions on Signal …, 2019 - ieeexplore.ieee.org
… Suppose we observe partial entries of a low-rank matrix M⋆ ∈ Rn1×n2 of rank r, indexed
by the sampling location set Ω. It is convenient to introduce a projection operator PΩ : Rn1×n2 …

Low-rank matrix factorization for deep neural network training with high-dimensional output targets

TN Sainath, B Kingsbury, V Sindhwani… - … on acoustics, speech …, 2013 - ieeexplore.ieee.org
… a low-rank matrix factorization of the final weight layer. We apply this low-rank technique to
… 50-400 hrs, that a low-rank factorization reduces the number of parameters of the network …

Structured low-rank matrix factorization: Optimality, algorithm, and applications to image processing

B Haeffele, E Young, R Vidal - International conference on …, 2014 - proceedings.mlr.press
… display other structures beyond simply being low-rank. For example, images and videos …
current low-rank methods. In this paper we explore a matrix factorization technique suitable for …

[PDF][PDF] Semi-orthogonal low-rank matrix factorization for deep neural networks.

D Povey, G Cheng, Y Wang, K Li, H Xu… - Interspeech, 2018 - academia.edu
… We use low-rank factorized layers in TDNN acoustic models trained with lattice-free maximum
mutual information (LFMMI) criterion [5]. Furthermore, we use an idea– skip connections– …

Structured low-rank matrix factorization: Global optimality, algorithms, and applications

BD Haeffele, R Vidal - IEEE transactions on pattern analysis …, 2019 - ieeexplore.ieee.org
… by standard low-rank methods. In this paper we study a matrix factorization technique that
is … A few practical algorithms are also provided to solve the matrix factorization problem, and …

Rank matrix factorisation

T Le Van, M van Leeuwen, S Nijssen… - Advances in Knowledge …, 2015 - Springer
… It is shown that rank matrix factorisations can provide useful insights by revealing the rankings
… In this section we formally define rank matrices and introduce the rank matrix factorisation

Total-variation-regularized low-rank matrix factorization for hyperspectral image restoration

W He, H Zhang, L Zhang, H Shen - IEEE transactions on …, 2015 - ieeexplore.ieee.org
… between the lowrank matrix factorization and the rank-constrained RPCA, which … rank
matrix factorization from a probabilistic perspective and build up the low-rank matrix factorization

Low-rank matrix factorization under general mixture noise distributions

X Cao, Y Chen, Q Zhao, D Meng… - Proceedings of the …, 2015 - openaccess.thecvf.com
… For each experiment, we first randomly generated 30 low rank matrices with size 40 × 20
and rank 4. Each of these matrices was generated by the multiplication of two low-rank matrices

Robust low-rank matrix factorization under general mixture noise distributions

X Cao, Q Zhao, D Meng, Y Chen… - IEEE Transactions on …, 2016 - ieeexplore.ieee.org
Many computer vision problems can be posed as learning a low-dimensional subspace from
high-dimensional data. The low rank matrix factorization (LRMF) represents a commonly …

List-wise learning to rank with matrix factorization for collaborative filtering

Y Shi, M Larson, A Hanjalic - Proceedings of the fourth ACM conference …, 2010 - dl.acm.org
… extension to the matrix factorization approach … -rank technique to rank items for each user,
in which users and items are represented as latent features learned using matrix factorization (…