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