Ioannis G. Kevrekidis

  • Princeton University, Department of Chemical Engineering

According to our database1, Ioannis G. Kevrekidis authored at least 105 papers between 1993 and 2021.

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PhD thesis 


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Equation-free patch scheme for efficient computational homogenisation via self-adjoint coupling.
Numerische Mathematik, 2021

An Operator Theoretic Perspective on Pruning Deep Neural Networks.
CoRR, 2021

On the Parameter Combinations That Matter and on Those That do Not.
CoRR, 2021

On the Correspondence between Gaussian Processes and Geometric Harmonics.
CoRR, 2021

Adaptively detect and accurately resolve macro-scale shocks in an efficient Equation-Free multiscale simulation.
CoRR, 2021

Learning the temporal evolution of multivariate densities via normalizing flows.
CoRR, 2021

Learning effective stochastic differential equations from microscopic simulations: combining stochastic numerics and deep learning.
CoRR, 2021

Personalized Algorithm Generation: A Case Study in Meta-Learning ODE Integrators.
CoRR, 2021

Initializing LSTM internal states via manifold learning.
CoRR, 2021

Helmholtzian Eigenmap: Topological feature discovery & edge flow learning from point cloud data.
CoRR, 2021

Exploring critical points of energy landscapes: From low-dimensional examples to phase field crystal PDEs.
Commun. Nonlinear Sci. Numer. Simul., 2021

Coarse-grained and Emergent Distributed Parameter Systems from Data.
Proceedings of the 2021 American Control Conference, 2021

Applications of Koopman Mode Analysis to 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

On the Koopman Operator of Algorithms.
SIAM J. Appl. Dyn. Syst., 2020

A Geometric Approach to the Transport of Discontinuous Densities.
SIAM/ASA J. Uncertain. Quantification, 2020

Transport Map Accelerated Adaptive Importance Sampling, and Application to Inverse Problems Arising from Multiscale Stochastic Reaction Networks.
SIAM/ASA J. Uncertain. Quantification, 2020

Emergent Spaces for Coupled Oscillators.
Frontiers Comput. Neurosci., 2020

Learning emergent PDEs in a learned emergent space.
CoRR, 2020

Learning Poisson systems and trajectories of autonomous systems via Poisson neural networks.
CoRR, 2020

Particles to Partial Differential Equations Parsimoniously.
CoRR, 2020

Linking Machine Learning with Multiscale Numerics: Data-Driven Discovery of Homogenized Equations.
CoRR, 2020

Transformations between deep neural networks.
CoRR, 2020

LOCA: LOcal Conformal Autoencoder for standardized data coordinates.
CoRR, 2020

Spectral Discovery of Jointly Smooth Features for Multimodal Data.
CoRR, 2020

Correction to: Optimal deterministic algorithm generation.
J. Glob. Optim., 2019

Manifold learning for parameter reduction.
J. Comput. Phys., 2019

Designing networks with resiliency to edge failures using two-stage robust optimization.
Eur. J. Oper. Res., 2019

Large-scale simulation of shallow water waves with computation only on small staggered patches.
CoRR, 2019

Coarse-scale PDEs from fine-scale observations via machine learning.
CoRR, 2019

Optimal Transport on the Manifold of SPD Matrices for Domain Adaptation.
CoRR, 2019

On Matching, and Even Rectifying, Dynamical Systems through Koopman Operator Eigenfunctions.
SIAM J. Appl. Dyn. Syst., 2018

Data-Driven Model Reduction and Transfer Operator Approximation.
J. Nonlinear Sci., 2018

Optimal deterministic algorithm generation.
J. Glob. Optim., 2018

Linking Gaussian Process regression with data-driven manifold embeddings for nonlinear data fusion.
CoRR, 2018

An Emergent Space for Distributed Data With Hidden Internal Order Through Manifold Learning.
IEEE Access, 2018

Synthesizing developmental trajectories.
PLoS Comput. Biol., 2017

A general CFD framework for fault-resilient simulations based on multi-resolution information fusion.
J. Comput. Phys., 2017

A resilient and efficient CFD framework: Statistical learning tools for multi-fidelity and heterogeneous information fusion.
J. Comput. Phys., 2017

Good coupling for the multiscale patch scheme on systems with microscale heterogeneity.
J. Comput. Phys., 2017

Coarse-Grained Descriptions of Dynamics for Networks with Both Intrinsic and Structural Heterogeneities.
Frontiers Comput. Neurosci., 2017

An Exploration Algorithm for Stochastic Simulators Driven by Energy Gradients.
Entropy, 2017

Accuracy of Patch Dynamics with Mesoscale Temporal Coupling for Efficient Massively Parallel Simulations.
SIAM J. Sci. Comput., 2016

Data-Driven Reduction for a Class of Multiscale Fast-Slow Stochastic Dynamical Systems.
SIAM J. Appl. Dyn. Syst., 2016

Coarse-Graining and Simplification of the Dynamics Seen in Bursting Neurons.
SIAM J. Appl. Dyn. Syst., 2016

Designing networks: A mixed-integer linear optimization approach.
Networks, 2016

No equations, no parameters, no variables: data, and the reconstruction of normal forms by learning informed observation geometries.
CoRR, 2016

Data mining when each data point is a network.
CoRR, 2016

A Data-Driven Approximation of the Koopman Operator: Extending Dynamic Mode Decomposition.
J. Nonlinear Sci., 2015

Equation-free analysis of spike-timing-dependent plasticity.
Biol. Cybern., 2015

Time varying radial basis functions.
J. Comput. Appl. Math., 2014

A hybrid stochastic-deterministic algorithm for lattice-gas models of catalytic reactions and the computation of TPD spectra.
Comput. Chem. Eng., 2014

Simulating Stochastic Inertial Manifolds by a Backward-Forward Approach.
SIAM J. Appl. Dyn. Syst., 2013

Simple Urban Simulation Atop Complicated Models: Multi-Scale Equation-Free Computing of Sprawl Using Geographic Automata.
Entropy, 2013

Analysis of data in the form of graphs.
CoRR, 2013

Noisy dynamic simulations in the presence of symmetry: Data alignment and model reduction.
Comput. Math. Appl., 2013

State reduction in molecular simulations.
Comput. Chem. Eng., 2013

Accelerating agent-based computation of complex urban systems.
Int. J. Geogr. Inf. Sci., 2012

An equation-free approach to coarse-graining the dynamics of networks
CoRR, 2012

Mathematical modeling and steady-state analysis of a co-ionic-conducting solid oxide fuel cell.
Proceedings of the American Control Conference, 2012

Analysis and Computation of a Discrete KdV-Burgers Type Equation with Fast Dispersion and Slow Diffusion.
SIAM J. Numer. Anal., 2011

Generation of networks with prescribed degree-dependent clustering.
Optim. Lett., 2011

A common approach to the computation of coarse-scale steady states and to consistent initialization on a slow manifold.
Comput. Chem. Eng., 2011

Equation-free modeling.
Scholarpedia, 2010

Coarse-grained computation for particle coagulation and sintering processes by linking Quadrature Method of Moments with Monte-Carlo.
J. Comput. Phys., 2010

Reduced models for binocular rivalry.
J. Comput. Neurosci., 2010

Equation-Free Multiscale Computations in Social Networks: from Agent-Based Modeling to Coarse-Grained Stability and bifurcation Analysis.
Int. J. Bifurc. Chaos, 2010

Bifurcations of lurching waves in a thalamic neuronal network.
Biol. Cybern., 2010

Analysis of a Stochastic Chemical System Close to a SNIPER Bifurcation of Its Mean-Field Model.
SIAM J. Appl. Math., 2009

An Efficient Newton-Krylov Implementation of the Constrained Runs Scheme for Initializing on a Slow Manifold.
J. Sci. Comput., 2009

Uncertainty Quantification for Atomistic Reaction Models: An Equation-Free Stochastic Simulation Algorithm Example.
Multiscale Model. Simul., 2008

Multiscale Integration Schemes for Jump-Diffusion Systems.
Multiscale Model. Simul., 2008

Diffusion Maps, Reduction Coordinates, and Low Dimensional Representation of Stochastic Systems.
Multiscale Model. Simul., 2008

General Tooth Boundary Conditions for Equation Free Modeling.
SIAM J. Sci. Comput., 2007

Deciding the Nature of the Coarse Equation through Microscopic Simulations: The Baby-Bathwater Scheme.
SIAM Rev., 2007

Condition Estimates for Pseudo-Arclength Continuation.
SIAM J. Numer. Anal., 2007

Bistability and Oscillations in the Huang-Ferrell Model of MAPK Signaling.
PLoS Comput. Biol., 2007

Variance Reduction for the Equation-Free Simulation of Multiscale Stochastic Systems.
Multiscale Model. Simul., 2007

Template-Based Stabilization of Relative Equilibria in Systems with Continuous Symmetry.
J. Nonlinear Sci., 2007

Projective and coarse projective integration for problems with continuous symmetries.
J. Comput. Phys., 2007

A Computer-Assisted Study of Global Dynamic Transitions for a Noninvertible System.
Int. J. Bifurc. Chaos, 2007

The Moment Map: Nonlinear Dynamics of Density Evolution via a Few Moments.
SIAM J. Appl. Dyn. Syst., 2006

Patch dynamics with buffers for homogenization problems.
J. Comput. Phys., 2006

An equation-Free Approach to Nonlinear Control: Coarse Feedback Linearization with Pole-Placement.
Int. J. Bifurc. Chaos, 2006

An equation-Free Approach to Coupled oscillator Dynamics: the Kuramoto Model Example.
Int. J. Bifurc. Chaos, 2006

A systems-based approach to multiscale computation: Equation-free detection of coarse-grained bifurcations.
Comput. Chem. Eng., 2006

Projecting to a Slow Manifold: Singularly Perturbed Systems and Legacy Codes.
SIAM J. Appl. Dyn. Syst., 2005

Equation-Free, Multiscale Computation for Unsteady Random Diffusion.
Multiscale Model. Simul., 2005

Application of Coarse Integration to Bacterial Chemotaxis.
Multiscale Model. Simul., 2005

The Gap-Tooth Scheme for Homogenization Problems.
Multiscale Model. Simul., 2005

Constraint-Defined Manifolds: a Legacy Code Approach to Low-Dimensional Computation.
J. Sci. Comput., 2005

Equation-Free, Effective Computation for Discrete Systems: a Time stepper Based Approach.
Int. J. Bifurc. Chaos, 2005

An equation-free, multiscale approach to uncertainty quantification.
Comput. Sci. Eng., 2005

Equation-free gaptooth-based controller design for distributed complex/multiscale processes.
Comput. Chem. Eng., 2005

Diffusion Maps, Spectral Clustering and Eigenfunctions of Fokker-Planck Operators.
Proceedings of the Advances in Neural Information Processing Systems 18 [Neural Information Processing Systems, 2005

Coarse bifurcation Diagrams via Microscopic Simulators: a State-Feedback Control-Based Approach.
Int. J. Bifurc. Chaos, 2004

Bifurcation analysis of nonlinear reaction-diffusion problems using wavelet-based reduction techniques.
Comput. Chem. Eng., 2004

Optimal sensor location and reduced order observer design for distributed process systems.
Comput. Chem. Eng., 2004

Projective Methods for Stiff Differential Equations: Problems with Gaps in Their Eigenvalue Spectrum.
SIAM J. Sci. Comput., 2003

Enabling stability analysis of tubular reactor models using PDE/PDAE integrators.
Comput. Chem. Eng., 2003

The Oseberg Transition: Visualization of Global bifurcations for the Kuramoto-Sivashinsky equation.
Int. J. Bifurc. Chaos, 2001

Unsteady Two-Dimensional Flows in Complex Geometries: Comparative Bifurcation Studies with Global Eigenfunction Expansions.
SIAM J. Sci. Comput., 1997

Two-dimensional invariant manifolds and global bifurcations: some approximation and visualization studies.
Numer. Algorithms, 1997

Identification of Continuous-Time Dynamical Systems: Neural Network Based Algorithms and Parallel Implementation.
Proceedings of the Sixth SIAM Conference on Parallel Processing for Scientific Computing, 1993

Noninvertibility in neural networks.
Proceedings of International Conference on Neural Networks (ICNN'88), San Francisco, CA, USA, March 28, 1993

Continuous time modeling of nonlinear systems: a neural network-based approach.
Proceedings of International Conference on Neural Networks (ICNN'88), San Francisco, CA, USA, March 28, 1993