59 citations · 100 across the 12 of their papers we have counts for
5 papers · 1 filter
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 …
Detection of Review Abuse via Semi-Supervised Binary Multi-Target Tensor Decomposition
Anil R. Yelundur, Vineet Chaoji, Bamdev Mishra
Product reviews and ratings on e-commerce websites provide customers with detailed insights about various aspects of the product such as quality, usefulness, etc. Since they influe…
Low-rank approximations of hyperbolic embeddings
Pratik Jawanpuria, Mayank Meghwanshi, Bamdev Mishra
The hyperbolic manifold is a smooth manifold of negative constant curvature. While the hyperbolic manifold is well-studied in the literature, it has gained interest in the machine…
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…
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…