82 citations · 324 across the 26 of their papers we have counts for
6 papers · 1 filter
SGDLibrary: A MATLAB library for stochastic gradient descent algorithms
Hiroyuki Kasai
We consider the problem of finding the minimizer of a function of the finite-sum form . This problem has…
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 subspace learning on Grassmann manifold
Bamdev Mishra, Hiroyuki Kasai, Pratik Jawanpuria +1
In this paper, we focus on subspace learning problems on the Grassmann manifold. Interesting applications in this setting include low-rank matrix completion and low-dimensional mul…
Riemannian stochastic quasi-Newton algorithm with variance reduction and its convergence analysis
Hiroyuki Kasai, Hiroyuki Sato, Bamdev Mishra
Stochastic variance reduction algorithms have recently become popular for minimizing the average of a large, but finite number of loss functions. The present paper proposes a Riema…
Riemannian stochastic variance reduced gradient algorithm with retraction and vector transport
Hiroyuki Sato, Hiroyuki Kasai, Bamdev Mishra
In recent years, stochastic variance reduction algorithms have attracted considerable attention for minimizing the average of a large but finite number of loss functions. This pape…