Igor Mezic

Orcid: 0000-0002-2873-9013

Affiliations:
  • University of California, Santa Barbara, CA, USA
  • Harvard University, Cambridge, MA, USA
  • University of Warwick, Coventry, UK
  • California Institute of Technology, Pasadena, CA, USA (PhD)


According to our database1, Igor Mezic authored at least 103 papers between 1996 and 2024.

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Bibliography

2024
Koopman-driven grip force prediction through EMG sensing.
CoRR, 2024

Limits and Powers of Koopman Learning.
CoRR, 2024

2023
Spectral Properties of Pullback Operators on Vector Bundles of a Dynamical System.
SIAM J. Appl. Dyn. Syst., December, 2023

Control of soft robots with inertial dynamics.
Sci. Robotics, August, 2023

A data driven Koopman-Schur decomposition for computational analysis of nonlinear dynamics.
CoRR, 2023

Trajectory Estimation in Unknown Nonlinear Manifold Using Koopman Operator Theory.
CoRR, 2023

Koopman Learning with Episodic Memory.
CoRR, 2023

On Numerical Methods for Stochastic SINDy.
CoRR, 2023

On Equivalent Optimization of Machine Learning Methods.
CoRR, 2023

2022
Robust Approximation of the Stochastic Koopman Operator.
SIAM J. Appl. Dyn. Syst., September, 2022

An Operator Theoretic View On Pruning Deep Neural Networks.
Proceedings of the Tenth International Conference on Learning Representations, 2022

Algorithmic (Semi-)Conjugacy via Koopman Operator Theory.
Proceedings of the 61st IEEE Conference on Decision and Control, 2022

2021
Koopman Resolvent: A Laplace-Domain Analysis of Nonlinear Autonomous Dynamical Systems.
SIAM J. Appl. Dyn. Syst., 2021

On the Approximation of Koopman Spectra of Measure-Preserving Flows.
SIAM J. Appl. Dyn. Syst., 2021

Convex Computation of Extremal Invariant Measures of Nonlinear Dynamical Systems and Markov Processes.
J. Nonlinear Sci., 2021

Predicting the Critical Number of Layers for Hierarchical Support Vector Regression.
Entropy, 2021

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

Game Balancing using Koopman-based Learning.
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

Combining Programmable Potentials and Neural Networks for Materials Problems.
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
Optimal Construction of Koopman Eigenfunctions for Prediction and Control.
IEEE Trans. Autom. Control., 2020

On Least Squares Problems with Certain Vandermonde-Khatri-Rao Structure with Applications to DMD.
SIAM J. Sci. Comput., 2020

Invariant Sets in Quasiperiodically Forced Dynamical Systems.
SIAM J. Appl. Dyn. Syst., 2020

Spectrum of the Koopman Operator, Spectral Expansions in Functional Spaces, and State-Space Geometry.
J. Nonlinear Sci., 2020

Koopman Operator Spectrum for Random Dynamical Systems.
J. Nonlinear Sci., 2020

Modeling, Reduction, and Control of a Helically Actuated Inertial Soft Robotic Arm via the Koopman Operator.
CoRR, 2020

Search strategy in a complex and dynamic environment: the MH370 case.
CoRR, 2020

Prediction of the behavior of a pneumatic soft robot based on Koopman operator theory.
Proceedings of the 43rd International Convention on Information, 2020

Extended Dynamic Mode Decomposition with Learned Koopman Eigenfunctions for Prediction and Control.
Proceedings of the 2020 American Control Conference, 2020

2019
Data Driven Koopman Spectral Analysis in Vandermonde-Cauchy Form via the DFT: Numerical Method and Theoretical Insights.
SIAM J. Sci. Comput., 2019

On the Approximation of Koopman Spectra for Measure Preserving Transformations.
SIAM J. Appl. Dyn. Syst., 2019

Control-Oriented, Data-Driven Models of Thermal Dynamics.
CoRR, 2019

Spectral Complexity of Directed Graphs and Application to Structural Decomposition.
Complex., 2019

2018
Data Driven Modal Decompositions: Analysis and Enhancements.
SIAM J. Sci. Comput., 2018

Koopman Operator Family Spectrum for Nonautonomous Systems.
SIAM J. Appl. Dyn. Syst., 2018

On Convergence of Extended Dynamic Mode Decomposition to the Koopman Operator.
J. Nonlinear Sci., 2018

Uniformly Bounded Sets in Quasiperiodically Forced Dynamical Systems.
CoRR, 2018

Linear predictors for nonlinear dynamical systems: Koopman operator meets model predictive control.
Autom., 2018

A Data-Driven Koopman Model Predictive Control Framework for Nonlinear Partial Differential Equations.
Proceedings of the 57th IEEE Conference on Decision and Control, 2018

2017
Ergodicity-Based Cooperative Multiagent Area Coverage via a Potential Field.
IEEE Trans. Cybern., 2017

Ergodic Theory, Dynamic Mode Decomposition, and Computation of Spectral Properties of the Koopman Operator.
SIAM J. Appl. Dyn. Syst., 2017

Applied Koopman Operator Theory for Power Systems Technology.
CoRR, 2017

Whole-Building Fault Detection: A Scalable Approach Using Spectral Methods.
CoRR, 2017

2016
Global Stability Analysis Using the Eigenfunctions of the Koopman Operator.
IEEE Trans. Autom. Control., 2016

On Koopman and dynamic mode decompositions for application to dynamic data with low spatial dimension.
Proceedings of the 55th IEEE Conference on Decision and Control, 2016

An operator-theoretic viewpoint to non-smooth dynamical systems: Koopman analysis of a hybrid pendulum.
Proceedings of the 55th IEEE Conference on Decision and Control, 2016

Uniformization, organization, association and use of metadata from multiple content providers and manufacturers: A close look at the Building Automation System (BAS) sector.
Proceedings of the 2016 IEEE International Conference on Big Data (IEEE BigData 2016), 2016

Pattern recognition and classification of HVAC rule-based faults in commercial buildings.
Proceedings of the 2016 IEEE International Conference on Big Data (IEEE BigData 2016), 2016

2015
Searching for Targets of Nonuniform Size Using Mixing Transformations: Constructive Upper Bounds and Limit Laws.
J. Nonlinear Sci., 2015

A prony approximation of Koopman Mode Decomposition.
Proceedings of the 54th IEEE Conference on Decision and Control, 2015

On applications of the spectral theory of the Koopman operator in dynamical systems and control theory.
Proceedings of the 54th IEEE Conference on Decision and Control, 2015

2014
Global Isochrons and Phase Sensitivity of Bursting Neurons.
SIAM J. Appl. Dyn. Syst., 2014

2013
Performance Study of an Adaptive Controller in the Presence of Uncertainty.
IEEE Trans. Control. Syst. Technol., 2013

Global sensitivity/uncertainty analysis for agent-based models.
Reliab. Eng. Syst. Saf., 2013

Spatial filter averaging approach of probabilistic method to linear second-order partial differential equations of the parabolic type.
J. Comput. Phys., 2013

Efficient Guidance in finite time flow fields.
Proceedings of the 52nd IEEE Conference on Decision and Control, 2013

A spectral operator-theoretic framework for global stability.
Proceedings of the 52nd IEEE Conference on Decision and Control, 2013

2012
Nonlinear Dynamics of Crime and Violence in Urban Settings.
J. Artif. Soc. Soc. Simul., 2012

Uncertainty in the energy dynamics of commercial office buildings.
Proceedings of the 51th IEEE Conference on Decision and Control, 2012

2011
Multiscale Adaptive Search.
IEEE Trans. Syst. Man Cybern. Part B, 2011

Coherent Swing Instability of Power Grids.
J. Nonlinear Sci., 2011

On the architecture of cell regulation networks.
BMC Syst. Biol., 2011

Scalable approach to uncertainty quantification and robust design of interconnected dynamical systems.
Annu. Rev. Control., 2011

2010
Minimum time feedback control of autonomous underwater vehicles.
Proceedings of the 49th IEEE Conference on Decision and Control, 2010

The use of ergodic theory in designing dynamics for search problems.
Proceedings of the 49th IEEE Conference on Decision and Control, 2010

Uniform coverage control of mobile sensor networks for dynamic target detection.
Proceedings of the 49th IEEE Conference on Decision and Control, 2010

2009
Ergodic partition of phase space in continuous dynamical systems.
Proceedings of the 48th IEEE Conference on Decision and Control, 2009

Spectral Multiscale Coverage: A uniform coverage algorithm for mobile sensor networks.
Proceedings of the 48th IEEE Conference on Decision and Control, 2009

An approximate parametrization of the ergodic partition using time averaged observables.
Proceedings of the 48th IEEE Conference on Decision and Control, 2009

Global swing instability in the New England power grid model.
Proceedings of the American Control Conference, 2009

2008
Uncertainty propagation in dynamical systems.
Autom., 2008

Global swing instability of multimachine power systems.
Proceedings of the 47th IEEE Conference on Decision and Control, 2008

Actuation requirements in high dimensional oscillator systems.
Proceedings of the American Control Conference, 2008

2007
Validation of low-dimensional models using diffusion maps and harmonic averaging.
Proceedings of the 46th IEEE Conference on Decision and Control, 2007

A mechanism for energy transfer leading to conformation change in networked nonlinear systems.
Proceedings of the 46th IEEE Conference on Decision and Control, 2007

2006
Low order modeling, dynamics and control of an inert gas based fire protection system.
Proceedings of the American Control Conference, 2006

2005
Comparison of Systems using Diffusion Maps.
Proceedings of the 44th IEEE IEEE Conference on Decision and Control and 8th European Control Conference Control, 2005

2004
Distributed control design for parabolic evolution equations: application to compressor stall control.
IEEE Trans. Autom. Control., 2004

Graph decomposition methods for uncertainty propagation in complex, nonlinear interconnected dynamical systems.
Proceedings of the 43rd IEEE Conference on Decision and Control, 2004

Coupled nonlinear dynamical systems: asymptotic behavior and uncertainty propagation.
Proceedings of the 43rd IEEE Conference on Decision and Control, 2004

Uncertainty in the dynamics of conservative maps.
Proceedings of the 43rd IEEE Conference on Decision and Control, 2004

Spectral balance: a frequency domain framework for analysis of nonlinear dynamical systems.
Proceedings of the 43rd IEEE Conference on Decision and Control, 2004

Uncertainty analysis of complex dynamical systems.
Proceedings of the 2004 American Control Conference, 2004

2003
Spillover Stabilization in Finite-Dimensional Control and Observer Design for Dissipative Evolution Equations.
SIAM J. Control. Optim., 2003

Capture into resonance: A novel method of efficient control.
Proceedings of the 7th European Control Conference, 2003

Controllability for a class of discrete-time Hamiltonian systems.
Proceedings of the 42nd IEEE Conference on Decision and Control, 2003

Control of Heisenberg spin systems; Lie algebraic decompositions and action-angle variables.
Proceedings of the 42nd IEEE Conference on Decision and Control, 2003

Controllability of Hamiltonian systems with drift: action-angle variables and ergodic partition.
Proceedings of the 42nd IEEE Conference on Decision and Control, 2003

Fuel control of a ducted bluffbody flame.
Proceedings of the 42nd IEEE Conference on Decision and Control, 2003

A multiscale measure for mixing and its applications.
Proceedings of the 42nd IEEE Conference on Decision and Control, 2003

2002
Statistical properties of controlled fluid flows with applications to control of mixing.
Syst. Control. Lett., 2002

Controllability of twist maps.
Proceedings of the American Control Conference, 2002

2001
Observability and controllability in systems with moving averages.
Proceedings of the 40th IEEE Conference on Decision and Control, 2001

Finite-dimensional decentralized control of semilinear dissipative parabolic PDEs.
Proceedings of the 40th IEEE Conference on Decision and Control, 2001

A framework for destabilization of dynamical systems and mixing enhancement.
Proceedings of the 40th IEEE Conference on Decision and Control, 2001

Controllability of group translations.
Proceedings of the American Control Conference, 2001

2000
Controlling vortex motion and chaotic advection.
Proceedings of the 39th IEEE Conference on Decision and Control, 2000

Overview of some theoretical and experimental results on modeling and control of shear flows.
Proceedings of the 39th IEEE Conference on Decision and Control, 2000

Comparison of systems with complex behavior: spectral methods.
Proceedings of the 39th IEEE Conference on Decision and Control, 2000

Control spillover in dissipative evolution equations.
Proceedings of the American Control Conference, 2000

1999
Control of mixing in fluid flow: a maximum entropy approach.
IEEE Trans. Autom. Control., 1999

Dynamical analysis and control of microcantilevers.
Autom., 1999

1996
Maximal Effective Diffusivity for Time-Periodic Incompressible Fluid Flows.
SIAM J. Appl. Math., 1996


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