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Markos A. Katsoulakis

Probabilistic operator learning: generative modeling and uncertainty quantification for foundation models of differential equations

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Sep 05, 2025
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Proximal optimal transport divergences

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May 17, 2025
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Equivariant score-based generative models provably learn distributions with symmetries efficiently

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Oct 02, 2024
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Combining Wasserstein-1 and Wasserstein-2 proximals: robust manifold learning via well-posed generative flows

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Jul 16, 2024
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Score-based generative models are provably robust: an uncertainty quantification perspective

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May 24, 2024
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Nonlinear denoising score matching for enhanced learning of structured distributions

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May 24, 2024
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Learning heavy-tailed distributions with Wasserstein-proximal-regularized $α$-divergences

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May 22, 2024
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Wasserstein proximal operators describe score-based generative models and resolve memorization

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Feb 09, 2024
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Statistical Guarantees of Group-Invariant GANs

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May 22, 2023
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A mean-field games laboratory for generative modeling

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May 06, 2023
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