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07/03/2023
Butterfly factorization by algorithmic identification of rank-one blocks
Many matrices associated with fast transforms posess a certain low-rank ...
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06/05/2023
Does a sparse ReLU network training problem always admit an optimum?
Given a training set, a loss function, and a neural network architecture...
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05/23/2023
A Block-Coordinate Approach of Multi-level Optimization with an Application to Physics-Informed Neural Networks
Multi-level methods are widely used for the solution of large-scale prob...
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07/28/2022
Self-supervised learning with rotation-invariant kernels
A major paradigm for learning image representations in a self-supervised...
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05/24/2022
Approximation speed of quantized vs. unquantized ReLU neural networks and beyond
We consider general approximation families encompassing ReLU neural netw...
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12/01/2021
Spurious Valleys, Spurious Minima and NP-hardness of Sparse Matrix Factorization With Fixed Support
The problem of approximating a dense matrix by a product of sparse facto...
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10/04/2021
Identifiability in Exact Two-Layer Sparse Matrix Factorization
Sparse matrix factorization is the problem of approximating a matrix Z b...
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10/04/2021
Identifiability in Exact Multilayer Sparse Matrix Factorization
Many well-known matrices Z are associated to fast transforms correspondi...
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10/31/2019
On the iterative solution of systems of the form A^T A x=A^Tb+c
Given a full column rank matrix A ∈R^m× n (m≥ n), we consider a special ...
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04/09/2019