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05/22/2023
Statistical Guarantees of Group-Invariant GANs
Group-invariant generative adversarial networks (GANs) are a type of GAN...
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04/26/2023
A mean-field games laboratory for generative modeling
In this paper, we demonstrate the versatility of mean-field games (MFGs)...
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02/03/2023
Sample Complexity of Probability Divergences under Group Symmetry
We rigorously quantify the improvement in the sample complexity of varia...
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10/31/2022
Lipschitz regularized gradient flows and latent generative particles
Lipschitz regularized f-divergences are constructed by imposing a bound ...
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10/10/2022
Function-space regularized Rényi divergences
We propose a new family of regularized Rényi divergences parametrized no...
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02/02/2022
Structure-preserving GANs
Generative adversarial networks (GANs), a class of distribution-learning...
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07/17/2021
Model Uncertainty and Correctability for Directed Graphical Models
Probabilistic graphical models are a fundamental tool in probabilistic m...
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11/11/2020
(f,Γ)-Divergences: Interpolating between f-Divergences and Integral Probability Metrics
We develop a general framework for constructing new information-theoreti...
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09/07/2020
Mutual Information for Explainable Deep Learning of Multiscale Systems
Timely completion of design cycles for multiscale and multiphysics syste...
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08/31/2020
Uncertainty quantification for Markov Random Fields
We present an information-based uncertainty quantification method for ge...
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07/07/2020
A Variational Formula for Rényi Divergences
We derive a new variational formula for the Rényi family of divergences,...
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07/01/2020
Data-driven Uncertainty Quantification for Systematic Coarse-grained Models
In this work, we present methodologies for the quantification of confide...
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06/26/2020
GINNs: Graph-Informed Neural Networks for Multiscale Physics
We introduce the concept of a Graph-Informed Neural Network (GINN), a hy...
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06/15/2020
Optimizing variational representations of divergences and accelerating their statistical estimation
Variational representations of distances and divergences between high-di...
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01/06/2019