Markos A. Katsoulakis

Orcid: 0000-0003-4354-1766

According to our database1, Markos A. Katsoulakis authored at least 49 papers between 2000 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
Equivariant score-based generative models provably learn distributions with symmetries efficiently.
CoRR, 2024

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

Score-based generative models are provably robust: an uncertainty quantification perspective.
CoRR, 2024

Nonlinear denoising score matching for enhanced learning of structured distributions.
CoRR, 2024

Learning heavy-tailed distributions with Wasserstein-proximal-regularized α-divergences.
CoRR, 2024

Wasserstein proximal operators describe score-based generative models and resolve memorization.
CoRR, 2024

2023
Cumulant GAN.
IEEE Trans. Neural Networks Learn. Syst., November, 2023

Statistical Guarantees of Group-Invariant GANs.
CoRR, 2023

A mean-field games laboratory for generative modeling.
CoRR, 2023

Sample Complexity of Probability Divergences under Group Symmetry.
Proceedings of the International Conference on Machine Learning, 2023

Function-space regularized Rényi divergences.
Proceedings of the Eleventh International Conference on Learning Representations, 2023

2022
Optimizing Variational Representations of Divergences and Accelerating Their Statistical Estimation.
IEEE Trans. Inf. Theory, 2022

Model Uncertainty and Correctability for Directed Graphical Models.
SIAM/ASA J. Uncertain. Quantification, 2022

(f, Gamma)-Divergences: Interpolating between f-Divergences and Integral Probability Metrics.
J. Mach. Learn. Res., 2022

Lipschitz regularized gradient flows and latent generative particles.
CoRR, 2022

Structure-preserving GANs.
Proceedings of the International Conference on Machine Learning, 2022

2021
Variational Representations and Neural Network Estimation of Rényi Divergences.
SIAM J. Math. Data Sci., 2021

Uncertainty Quantification for Markov Random Fields.
SIAM/ASA J. Uncertain. Quantification, 2021

Mutual information for explainable deep learning of multiscale systems.
J. Comput. Phys., 2021

GINNs: Graph-Informed Neural Networks for multiscale physics.
J. Comput. Phys., 2021

Graph-Informed Neural Networks.
Proceedings of the AAAI 2021 Spring Symposium on Combining Artificial Intelligence and Machine Learning with Physical Sciences, Stanford, CA, USA, March 22nd - to, 2021

2020
How Biased Is Your Model? Concentration Inequalities, Information and Model Bias.
IEEE Trans. Inf. Theory, 2020

Data-driven, variational model reduction of high-dimensional reaction networks.
J. Comput. Phys., 2020

(f, Γ)-Divergences: Interpolating between f-Divergences and Integral Probability Metrics.
CoRR, 2020

A Variational Formula for Rényi Divergences.
CoRR, 2020

2019
Causality and Bayesian Network PDEs for multiscale representations of porous media.
J. Comput. Phys., 2019

Robustness of Dynamical Quantities of Interest via Goal-Oriented Information Theory.
CoRR, 2019

2018
Robust Information Divergences for Model-Form Uncertainty Arising from Sparse Data in Random PDE.
SIAM/ASA J. Uncertain. Quantification, 2018

Computational Design of Complex Materials Using Information Theory: From Physics- to Data-driven Multi-scale Molecular Models.
ERCIM News, 2018

2017
Special Issue: Predictive multiscale materials modeling.
J. Comput. Phys., 2017

Scalable information inequalities for uncertainty quantification.
J. Comput. Phys., 2017

Information criteria for quantifying loss of reversibility in parallelized KMC.
J. Comput. Phys., 2017

2016
Information Metrics For Long-Time Errors in Splitting Schemes For Stochastic Dynamics and Parallel Kinetic Monte Carlo.
SIAM J. Sci. Comput., 2016

Path-Space Information Bounds for Uncertainty Quantification and Sensitivity Analysis of Stochastic Dynamics.
SIAM/ASA J. Uncertain. Quantification, 2016

Path-space variational inference for non-equilibrium coarse-grained systems.
J. Comput. Phys., 2016

2014
Spatial Two-Level Interacting Particle Simulations and Information Theory-Based Error Quantification.
SIAM J. Sci. Comput., 2014

Parallelization, Processor Communication and Error Analysis in Lattice Kinetic Monte Carlo.
SIAM J. Numer. Anal., 2014

Coarse-graining schemes for stochastic lattice systems with short and long-range interactions.
Math. Comput., 2014

Parametric Sensitivity Analysis for Stochastic Molecular Systems using Information Theoretic Metrics.
CoRR, 2014

2013
Information-theoretic tools for parametrized coarse-graining of non-equilibrium extended systems
CoRR, 2013

Parametric sensitivity analysis for biochemical reaction networks based on pathwise information theory.
BMC Bioinform., 2013

2012
Multilevel coarse graining and nano-pattern discovery in many particle stochastic systems.
J. Comput. Phys., 2012

Hierarchical fractional-step approximations and parallel kinetic Monte Carlo algorithms.
J. Comput. Phys., 2012

2011
Long-time integration methods for mesoscopic models of pattern-forming systems.
J. Comput. Phys., 2011

2008
Multibody Interactions in Coarse-Graining Schemes for Extended Systems.
SIAM J. Sci. Comput., 2008

Numerical and Statistical Methods for the Coarse-Graining of Many-Particle Stochastic Systems.
J. Sci. Comput., 2008

2006
Error Analysis of Coarse-Graining for Stochastic Lattice Dynamics.
SIAM J. Numer. Anal., 2006

Stochastic Modeling and Simulation of Traffic Flow: Asymmetric Single Exclusion Process with Arrhenius look-ahead dynamics.
SIAM J. Appl. Math., 2006

2000
Hyperbolic Systems with Supercharacteristic Relaxations and Roll Waves.
SIAM J. Appl. Math., 2000


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