research
∙
05/04/2023
Generalizing Frobenius Inversion to Quaternion Matrices
In this paper we derive and analyze an algorithm for inverting quaternio...
share
research
∙
10/12/2022
Large Models are Parsimonious Learners: Activation Sparsity in Trained Transformers
This paper studies the curious phenomenon for machine learning models wi...
research
∙
05/13/2022
Skew-sparse matrix multiplication
Based on the observation that ℚ^(p-1) × (p-1) is isomorphic to a quotien...
research
∙
01/13/2022
When geometry meets optimization theory: partially orthogonal tensors
Due to the multi-linearity of tensors, most algorithms for tensor optimi...
research
∙
06/25/2020
Heat kernel and intrinsic Gaussian processes on manifolds
There is an increasing interest in the problem of nonparametric regressi...
research
∙
03/22/2020
Symmetric Tensor Decompositions On Varieties
This paper discusses the problem of symmetric tensor decomposition on a ...
research
∙
12/18/2018
Semi-Riemannian Manifold Optimization
We introduce in this paper a manifold optimization framework that utiliz...
research
∙
04/05/2016