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08/27/2023
Information geometric regularization of the barotropic Euler equation
A key numerical difficulty in compressible fluid dynamics is the formati...
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07/21/2023
Sparse Cholesky factorization by greedy conditional selection
Dense kernel matrices resulting from pairwise evaluations of a kernel fu...
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06/20/2023
InRank: Incremental Low-Rank Learning
The theory of greedy low-rank learning (GLRL) aims to explain the impres...
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01/30/2023
Variational sparse inverse Cholesky approximation for latent Gaussian processes via double Kullback-Leibler minimization
To achieve scalable and accurate inference for latent Gaussian processes...
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04/23/2022
Competitive Physics Informed Networks
Physics Informed Neural Networks (PINNs) solve partial differential equa...
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11/16/2021
Polymatrix Competitive Gradient Descent
Many economic games and machine learning approaches can be cast as compe...
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10/25/2021
ZerO Initialization: Initializing Residual Networks with only Zeros and Ones
Deep neural networks are usually initialized with random weights, with a...
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10/11/2021
Sparse recovery of elliptic solvers from matrix-vector products
In this work, we show that solvers of elliptic boundary value problems i...
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08/09/2021
Scalable Bayesian transport maps for high-dimensional non-Gaussian spatial fields
A multivariate distribution can be described by a triangular transport m...
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06/17/2020
Competitive Mirror Descent
Constrained competitive optimization involves multiple agents trying to ...
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04/29/2020
Sparse Cholesky factorization by Kullback-Leibler minimization
We propose to compute a sparse approximate inverse Cholesky factor L of ...
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10/13/2019
Implicit competitive regularization in GANs
Generative adversarial networks (GANs) are capable of producing high qua...
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05/28/2019
Competitive Gradient Descent
We introduce a new algorithm for the numerical computation of Nash equil...
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04/18/2018
An efficient open-source implementation to compute the Jacobian matrix for the Newton-Raphson power flow algorithm
Power flow calculations for systems with a large number of buses, e.g. g...
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09/20/2017