82 citations · 324 across the 26 of their papers we have counts for
Showing 2019Show all
3 papers · 1 filter
math.OC2019★ 4 cited
Riemannian optimization on the simplex of positive definite matrices
Bamdev Mishra, Hiroyuki Kasai, Pratik Jawanpuria
In this work, we generalize the probability simplex constraint to matrices, i.e., , where …
cs.CV2019
Riemannian joint dimensionality reduction and dictionary learning on symmetric positive definite manifold
Hiroyuki Kasai, Bamdev Mishra
Dictionary leaning (DL) and dimensionality reduction (DR) are powerful tools to analyze high-dimensional noisy signals. This paper presents a proposal of a novel Riemannian joint d…
cs.LG2019★ 23 cited
Riemannian adaptive stochastic gradient algorithms on matrix manifolds
Hiroyuki Kasai, Pratik Jawanpuria, Bamdev Mishra
Adaptive stochastic gradient algorithms in the Euclidean space have attracted much attention lately. Such explorations on Riemannian manifolds, on the other hand, are relatively ne…