82 citations · 324 across the 26 of their papers we have counts for
5 papers · 1 filter
Stochastic variance reduced multiplicative update for nonnegative matrix factorization
Hiroyuki Kasai
Nonnegative matrix factorization (NMF), a dimensionality reduction and factor analysis method, is a special case in which factor matrices have low-rank nonnegative constraints. Con…
Fast online low-rank tensor subspace tracking by CP decomposition using recursive least squares from incomplete observations
Hiroyuki Kasai
We consider the problem of online subspace tracking of a partially observed high-dimensional data stream corrupted by noise, where we assume that the data lie in a low-dimensional…
A Riemannian gossip approach to decentralized matrix completion
Bamdev Mishra, Hiroyuki Kasai, Atul Saroop
In this paper, we propose novel gossip algorithms for the low-rank decentralized matrix completion problem. The proposed approach is on the Riemannian Grassmann manifold that allow…
Online Low-Rank Tensor Subspace Tracking from Incomplete Data by CP Decomposition using Recursive Least Squares
Hiroyuki Kasai
We propose an online tensor subspace tracking algorithm based on the CP decomposition exploiting the recursive least squares (RLS), dubbed OnLine Low-rank Subspace tracking by TEns…
Riemannian preconditioning for tensor completion
Hiroyuki Kasai, Bamdev Mishra
We propose a novel Riemannian preconditioning approach for the tensor completion problem with rank constraint. A Riemannian metric or inner product is proposed that exploits the le…