Markos A. Katsoulakis

发表

Information metrics for improved traffic model fidelity through sensitivity analysis and data assimilation

Alexandros Sopasakis, Markos A. Katsoulakis, M. Katsoulakis, 2016 .

Multilevel coarse graining and nano-pattern discovery in many particle stochastic systems

Dionisios G. Vlachos, Petr Plechác, Evangelia Kalligiannaki, 2012, J. Comput. Phys..

Data-driven uncertainty quantification for systematic coarse-grained models

Evangelia Kalligiannaki, Markos A. Katsoulakis, Tangxin Jin, 2020, 2007.00340.

Numerical and Statistical Methods for the Coarse-Graining of Many-Particle Stochastic Systems

Petr Plechác, Markos A. Katsoulakis, Luc Rey-Bellet, 2008, J. Sci. Comput..

Parametric sensitivity analysis for biochemical reaction networks based on pathwise information theory

Dionisios G. Vlachos, Yannis Pantazis, Markos A. Katsoulakis, 2013, BMC Bioinformatics.

Parallelization, Processor Communication and Error Analysis in Lattice Kinetic Monte Carlo

Petr Plechác, Markos A. Katsoulakis, Giorgos Arampatzis, 2012, SIAM J. Numer. Anal..

Coarse-graining schemes for stochastic lattice systems with short and long-range interactions

Petr Plechác, Markos A. Katsoulakis, Luc Rey-Bellet, 2010, Math. Comput..

Optimizing variational representations of divergences and accelerating their statistical estimation pdf

Yannis Pantazis, Markos A. Katsoulakis, Jeremiah Birrell, 2020, ArXiv.

Path-space variational inference for non-equilibrium coarse-grained systems

Petr Plechác, Evangelia Kalligiannaki, Markos A. Katsoulakis, 2015, J. Comput. Phys..

Coarse-grained stochastic processes and Monte Carlo simulations in lattice systems

Andrew J. Majda, Markos A. Katsoulakis, Dionisios G. Vlachos, 2003 .

Hierarchical fractional-step approximations and parallel kinetic Monte Carlo algorithms

Petr Plechác, Michela Taufer, Markos A. Katsoulakis, 2011, J. Comput. Phys..

Path space force matching and relative entropy methods for coarse-graining molecular systems at transient regimes

Evangelia Kalligiannaki, Markos A. Katsoulakis, Petr Plecháč, 2018 .

Uncertainty quantification for Markov Random Fields pdf

Markos A. Katsoulakis, Panagiota Birmpa, M. Katsoulakis, 2020, SIAM/ASA J. Uncertain. Quantification.

Hyperbolic Systems with Supercharacteristic Relaxations and Roll Waves

Shi Jin, Markos A. Katsoulakis, Shi Jin, 2000, SIAM J. Appl. Math..

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

Petr Plechác, Markos A. Katsoulakis, 2013, The Journal of chemical physics.

Information Theoretic Tools for Parameter Fitting in Coarse Grained Models

Evangelia Kalligiannaki, Markos A. Katsoulakis, Vagelis Harmandaris, 2015 .

Multibody Interactions in Coarse-Graining Schemes for Extended Systems

Petr Plechác, Markos A. Katsoulakis, Luc Rey-Bellet, 2008, SIAM J. Sci. Comput..

Mutual Information for Explainable Deep Learning of Multiscale Systems pdf

Daniel M. Tartakovsky, Markos A. Katsoulakis, Eric J. Hall, 2020, Journal of Computational Physics.

Information Criteria for quantifying loss of reversibility in parallelized KMC

Markos A. Katsoulakis, Luc Rey-Bellet, Konstantinos Gourgoulias, 2016, J. Comput. Phys..

Data-driven, variational model reduction of high-dimensional reaction networks

Pedro Vilanova, Markos A. Katsoulakis, M. Katsoulakis, 2020, J. Comput. Phys..

Quantification of Model Uncertainty on Path-Space via Goal-Oriented Relative Entropy

Markos A. Katsoulakis, Luc Rey-Bellet, Jeremiah Birrell, 2019 .

Variational Representations and Neural Network Estimation of Rényi Divergences

Paul Dupuis, Markos A. Katsoulakis, Luc Rey-Bellet, 2020, SIAM J. Math. Data Sci..

How Biased Is Your Model? Concentration Inequalities, Information and Model Bias

Jie Wang, Markos A. Katsoulakis, Luc Rey-Bellet, 2017, IEEE Transactions on Information Theory.

$(f,\Gamma)$-Divergences: Interpolating between $f$-Divergences and Integral Probability Metrics

Paul Dupuis, Yannis Pantazis, Markos A. Katsoulakis, 2020 .

Computational Design of Complex Materials Using Information Theory: From Physics- to Data-driven Multi-scale Molecular Models

Evangelia Kalligiannaki, Markos A. Katsoulakis, Vagelis Harmandaris, 2018, ERCIM News.

Accelerated Sensitivity Analysis in High-Dimensional Stochastic Reaction Networks

Yannis Pantazis, Markos A. Katsoulakis, Georgios Arampatzis, 2014, PloS one.

Information Metrics For Long-Time Errors in Splitting Schemes For Stochastic Dynamics and Parallel Kinetic Monte Carlo

Markos A. Katsoulakis, Luc Rey-Bellet, Konstantinos Gourgoulias, 2016, SIAM J. Sci. Comput..

Special Issue: Predictive multiscale materials modeling

Markos A. Katsoulakis, Nicholas Zabaras, 2017, J. Comput. Phys..

ISAP-MATLAB Package for Sensitivity Analysis of High-Dimensional Stochastic Chemical Networks

Yannis Pantazis, Markos A. Katsoulakis, Weilong Hu, 2018 .

Mathematical Foundations for Uncertainty Quantification in Materials Design. Final Report

Markos A. Katsoulakis, Luc Rey-Bellet, 2018 .

Long-time integration methods for mesoscopic models of pattern-forming systems

Nasser Mohieddin Abukhdeir, Dionisios G. Vlachos, Michael Plexousakis, 2011, J. Comput. Phys..

Scalable information inequalities for uncertainty quantification pdf

Jie Wang, Markos A. Katsoulakis, Luc Rey-Bellet, 2016, J. Comput. Phys..

Stochastic Modeling and Simulation of Traffic Flow: Asymmetric Single Exclusion Process with Arrhenius look-ahead dynamics

Alexandros Sopasakis, Markos A. Katsoulakis, M. Katsoulakis, 2006, SIAM J. Appl. Math..

GINNs: Graph-Informed Neural Networks for Multiscale Physics pdf

Daniel M. Tartakovsky, Markos A. Katsoulakis, Eric J. Hall, 2020, ArXiv.

Parametric Sensitivity Analysis for Stochastic Molecular Systems using Information Theoretic Metrics

Yannis Pantazis, Markos A. Katsoulakis, Vagelis Harmandaris, 2014, The Journal of chemical physics.

Spatial Two-Level Interacting Particle Simulations and Information Theory-Based Error Quantification

Petr Plechác, Evangelia Kalligiannaki, Markos A. Katsoulakis, 2014, SIAM J. Sci. Comput..

Model Uncertainty and Correctability for Directed Graphical Models pdf

Jinchao Feng, Markos A. Katsoulakis, Luc Rey-Bellet, 2021, SIAM/ASA J. Uncertain. Quantification.

Graph-Informed Neural Networks

Daniel M. Tartakovsky, Markos A. Katsoulakis, Søren Taverniers, 2021, AAAI Spring Symposium: MLPS.

Mutual Information for Explainable Deep Learning of Multiscale Systems

Daniel M. Tartakovsky, Markos A. Katsoulakis, Soren Taverniers, 2021, J. Comput. Phys..

Spectral methods for mesoscopic models of pattern formation

Markos A. Katsoulakis, Dionisios G. Vlachos, David J. Horntrop, 2001 .

Stochastic curvature flows: asymptotic derivation, level set formulation and numerical experiments

Markos A. Katsoulakis, Alvin T. Kho, A. Kho, 2001 .

Numerical Assessment of Theoretical Error Estimates in Coarse-Grained Kinetic Monte Carlo Simulations: Application to Surface Diffusion

Abhijit Chatterjee, Markos A. Katsoulakis, Dionisios G. Vlachos, 2005 .

COARSE-GRAINING SCHEMES AND A POSTERIORI ERROR ESTIMATES FOR STOCHASTIC LATTICE SYSTEMS

Markos A. Katsoulakis, Luc Rey-Bellet, Dimitrios K. Tsagkarogiannis, 2006, math/0608007.

Mathematical strategies in the coarse-graining of extensive systems: Error quantification and adaptivity

Markos A. Katsoulakis, Luc Rey-Bellet, Petr Plecháč, 2008 .

Stochastic Ising models and anisotropic front propagation

Panagiotis E. Souganidis, Markos A. Katsoulakis, P. Souganidis, 1997 .

The geometry of generalized force matching in coarse-graining and related information metrics

Evangelia Kalligiannaki, Markos A. Katsoulakis, Petr Plechac, 2015, 1504.02152.

Mesoscopic Modeling for Continuous Spin Lattice Systems: Model Problems and Micromagnetics Applications

Markos A. Katsoulakis, Petr Plecháč, Dimitrios K. Tsagkarogiannis, 2005 .

Viscosity solutions of monotone systems for Dirichlet problems

Markos A. Katsoulakis, Shigeaki Koike, 1994 .

Global sensitivity analysis of multiscale properties of porous materials

Daniel M. Tartakovsky, Markos A. Katsoulakis, Kimoon Um, 2018 .

Noise regularization and computations for the 1-dimensional stochastic Allen-Cahn problem

Omar Lakkis, Markos A. Katsoulakis, O. Lakkis, 2007, 1111.6312.

Bridging the gap of multiple scales: From microscopic, to mesoscopic, to macroscopic models

Markos A. Katsoulakis, Preeti Aghalayam, Dionisios G. Vlachos, 2001 .

Stochastic hydrodynamical limits of particle systems

Markos A. Katsoulakis, Anders Szepessy, M. Katsoulakis, 2006 .

Error control and analysis in coarse-graining of stochastic lattice dynamics

Alexandros Sopasakis, Markos A. Katsoulakis, Petr Plecháč, 2005 .

Multiscale couplings in prototype hybrid deterministic/stochastic systems: Part II, Stochastic closures

Andrew J. Majda, Alexandros Sopasakis, Markos A. Katsoulakis, 2004 .

Mesoscopic modeling of transport and reaction in microporous crystalline membranes

Markos A. Katsoulakis, Dionisios G. Vlachos, Mark Snyder, 2003 .

Coarse-grained stochastic processes and kinetic Monte Carlo simulators for the diffusion of interacting particles

Markos A. Katsoulakis, Dionisios G. Vlachos, D. Vlachos, 2003 .

Information Loss in Coarse-Graining of Stochastic Particle Dynamics

Markos A. Katsoulakis, José Trashorras, M. Katsoulakis, 2006 .

Intermittency, metastability and coarse graining for coupled deterministic–stochastic lattice systems

Andrew J. Majda, Alexandros Sopasakis, Markos A. Katsoulakis, 2006 .

Sensitivity analysis for rare events based on Rényi divergence

Yannis Pantazis, Paul Dupuis, Markos A. Katsoulakis, 2018, The Annals of Applied Probability.

Contractive relaxation systems and interacting particles for scalar conservation laws

Athanasios E. Tzavaras, Markos A. Katsoulakis, 1996 .