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ORCIDIgor Mezic
Igor Mezić
Person information
- unicode name: Igor Mezić
- affiliation: University of California, Santa Barbara, CA, USA
- affiliation: Harvard University, Cambridge, MA, USA
- affiliation: University of Warwick, Coventry, UK
- affiliation (PhD): California Institute of Technology, Pasadena, CA, USA
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Journal Articles
- 2023
[j39]David A. Haggerty
, Michael J. Banks, Ervin Kamenar, Alan B. Cao, Patrick C. Curtis, Igor Mezic, Elliot W. Hawkes:
Control of soft robots with inertial dynamics. Sci. Robotics 8(81) (2023)- [j38]Allan M. Avila, Igor Mezic:
Spectral Properties of Pullback Operators on Vector Bundles of a Dynamical System. SIAM J. Appl. Dyn. Syst. 22(4): 3059-3092 (2023) - 2022
- [j37]Mathias Wanner, Igor Mezic:
Robust Approximation of the Stochastic Koopman Operator. SIAM J. Appl. Dyn. Syst. 21(3): 1930-1951 (2022) - 2021
- [j36]Ryan Mohr, Maria Fonoberova, Zlatko Drmac, Iva Manojlovic, Igor Mezic:
Predicting the Critical Number of Layers for Hierarchical Support Vector Regression. Entropy 23(1): 37 (2021) - [j35]Milan Korda, Didier Henrion, Igor Mezic:
Convex Computation of Extremal Invariant Measures of Nonlinear Dynamical Systems and Markov Processes. J. Nonlinear Sci. 31(1): 14 (2021) - [j34]Nithin Govindarajan, Ryan Mohr, Shivkumar Chandrasekaran, Igor Mezic:
On the Approximation of Koopman Spectra of Measure-Preserving Flows. SIAM J. Appl. Dyn. Syst. 20(1): 232-261 (2021) - [j33]Yoshihiko Susuki, Alexandre Mauroy, Igor Mezic:
Koopman Resolvent: A Laplace-Domain Analysis of Nonlinear Autonomous Dynamical Systems. SIAM J. Appl. Dyn. Syst. 20(4): 2013-2036 (2021) - 2020
- [j32]Nelida Crnjaric-Zic, Senka Macesic, Igor Mezic:
Koopman Operator Spectrum for Random Dynamical Systems. J. Nonlinear Sci. 30(5): 2007-2056 (2020) - [j31]Igor Mezic:
Spectrum of the Koopman Operator, Spectral Expansions in Functional Spaces, and State-Space Geometry. J. Nonlinear Sci. 30(5): 2091-2145 (2020) - [j30]Yoshihiko Susuki, Igor Mezic:
Invariant Sets in Quasiperiodically Forced Dynamical Systems. SIAM J. Appl. Dyn. Syst. 19(1): 329-351 (2020) - [j29]Zlatko Drmac, Igor Mezic, Ryan Mohr:
On Least Squares Problems with Certain Vandermonde-Khatri-Rao Structure with Applications to DMD. SIAM J. Sci. Comput. 42(5): A3250-A3284 (2020) - [j28]Milan Korda, Igor Mezic:
Optimal Construction of Koopman Eigenfunctions for Prediction and Control. IEEE Trans. Autom. Control. 65(12): 5114-5129 (2020) - 2019
- [j27]Igor Mezic, Vladimir A. Fonoberov, Maria Fonoberova, Tuhin Sahai:
Spectral Complexity of Directed Graphs and Application to Structural Decomposition. Complex. 2019: 9610826:1-9610826:18 (2019) - [j26]Nithin Govindarajan, Ryan Mohr, Shivkumar Chandrasekaran, Igor Mezic:
On the Approximation of Koopman Spectra for Measure Preserving Transformations. SIAM J. Appl. Dyn. Syst. 18(3): 1454-1497 (2019) - [j25]Zlatko Drmac, Igor Mezic, Ryan Mohr:
Data Driven Koopman Spectral Analysis in Vandermonde-Cauchy Form via the DFT: Numerical Method and Theoretical Insights. SIAM J. Sci. Comput. 41(5): A3118-A3151 (2019) - 2018
- [j24]Milan Korda, Igor Mezic:
Linear predictors for nonlinear dynamical systems: Koopman operator meets model predictive control. Autom. 93: 149-160 (2018) - [j23]Milan Korda, Igor Mezic:
On Convergence of Extended Dynamic Mode Decomposition to the Koopman Operator. J. Nonlinear Sci. 28(2): 687-710 (2018) - [j22]Senka Macesic, Nelida Crnjaric-Zic, Igor Mezic:
Koopman Operator Family Spectrum for Nonautonomous Systems. SIAM J. Appl. Dyn. Syst. 17(4): 2478-2515 (2018) - [j21]Zlatko Drmac, Igor Mezic, Ryan Mohr:
Data Driven Modal Decompositions: Analysis and Enhancements. SIAM J. Sci. Comput. 40(4): A2253-A2285 (2018) - 2017
- [j20]Hassan Arbabi, Igor Mezic:
Ergodic Theory, Dynamic Mode Decomposition, and Computation of Spectral Properties of the Koopman Operator. SIAM J. Appl. Dyn. Syst. 16(4): 2096-2126 (2017) - [j19]Stefan Ivic, Bojan Crnkovic, Igor Mezic:
Ergodicity-Based Cooperative Multiagent Area Coverage via a Potential Field. IEEE Trans. Cybern. 47(8): 1983-1993 (2017) - 2016
- [j18]Alexandre Mauroy, Igor Mezic:
Global Stability Analysis Using the Eigenfunctions of the Koopman Operator. IEEE Trans. Autom. Control. 61(11): 3356-3369 (2016) - 2015
- [j17]Ryan Mohr, Igor Mezic:
Searching for Targets of Nonuniform Size Using Mixing Transformations: Constructive Upper Bounds and Limit Laws. J. Nonlinear Sci. 25(3): 741-777 (2015) - 2014
- [j16]Alexandre Mauroy, Blane Rhoads, Jeff Moehlis, Igor Mezic:
Global Isochrons and Phase Sensitivity of Bursting Neurons. SIAM J. Appl. Dyn. Syst. 13(1): 306-338 (2014) - 2013
- [j15]Sophie Loire, Igor Mezic:
Spatial filter averaging approach of probabilistic method to linear second-order partial differential equations of the parabolic type. J. Comput. Phys. 233: 175-191 (2013) - [j14]Maria Fonoberova, Vladimir A. Fonoberov, Igor Mezic:
Global sensitivity/uncertainty analysis for agent-based models. Reliab. Eng. Syst. Saf. 118: 8-17 (2013) - [j13]Sophie Loire, Vladimir A. Fonoberov, Igor Mezic:
Performance Study of an Adaptive Controller in the Presence of Uncertainty. IEEE Trans. Control. Syst. Technol. 21(3): 1039-1043 (2013) - 2012
- [j12]Maria Fonoberova, Vladimir A. Fonoberov, Igor Mezic, Jadranka Mezic, P. Jeffrey Brantingham:
Nonlinear Dynamics of Crime and Violence in Urban Settings. J. Artif. Soc. Soc. Simul. 15(1) (2012) - 2011
- [j11]Andrzej Banaszuk, Vladimir A. Fonoberov, Thomas A. Frewen, Marin Kobilarov, George Mathew, Igor Mezic, Alessandro Pinto, Tuhin Sahai, Harshad S. Sane, Alberto Speranzon, Amit Surana:
Scalable approach to uncertainty quantification and robust design of interconnected dynamical systems. Annu. Rev. Control. 35(1): 77-98 (2011) - [j10]Yueheng Lan, Igor Mezic:
On the architecture of cell regulation networks. BMC Syst. Biol. 5: 37 (2011) - [j9]Yoshihiko Susuki, Igor Mezic, Takashi Hikihara:
Coherent Swing Instability of Power Grids. J. Nonlinear Sci. 21(3): 403-439 (2011) - [j8]Alice Hubenko, Vladimir A. Fonoberov, George Mathew, Igor Mezic:
Multiscale Adaptive Search. IEEE Trans. Syst. Man Cybern. Part B 41(4): 1076-1087 (2011) - 2008
- [j7]Igor Mezic, Thordur Runolfsson:
Uncertainty propagation in dynamical systems. Autom. 44(12): 3003-3013 (2008) - 2004
- [j6]Gregory Hagen, Igor Mezic, Bassam Bamieh:
Distributed control design for parabolic evolution equations: application to compressor stall control. IEEE Trans. Autom. Control. 49(8): 1247-1258 (2004) - 2003
- [j5]Gregory Hagen, Igor Mezic:
Spillover Stabilization in Finite-Dimensional Control and Observer Design for Dissipative Evolution Equations. SIAM J. Control. Optim. 42(2): 746-768 (2003) - 2002
- [j4]Domenico D'Alessandro, Igor Mezic, Mohammed Dahleh:
Statistical properties of controlled fluid flows with applications to control of mixing. Syst. Control. Lett. 45(4): 249-256 (2002) - 1999
- [j3]M. Ashhab, Murti V. Salapaka, Mohammed Dahleh, Igor Mezic:
Dynamical analysis and control of microcantilevers. Autom. 35(10): 1663-1670 (1999) - [j2]Domenico D'Alessandro, Mohammed Dahleh, Igor Mezic:
Control of mixing in fluid flow: a maximum entropy approach. IEEE Trans. Autom. Control. 44(10): 1852-1863 (1999) - 1996
- [j1]Igor Mezic, John F. Brady, Stephen Wiggins:
Maximal Effective Diffusivity for Time-Periodic Incompressible Fluid Flows. SIAM J. Appl. Math. 56(1): 40-56 (1996)
Conference and Workshop Papers
- 2022
- [c50]William T. Redman, Maria Fonoberova, Ryan Mohr, Ioannis G. Kevrekidis, Igor Mezic:
Algorithmic (Semi-)Conjugacy via Koopman Operator Theory. CDC 2022: 6006-6011 - [c49]William T. Redman, Maria Fonoberova, Ryan Mohr, Yannis G. Kevrekidis, Igor Mezic:
An Operator Theoretic View On Pruning Deep Neural Networks. ICLR 2022 - 2021
- [c48]Ryan Mohr, Allan M. Avila, Soham Ghosh, Ananta Bhattarai, Muqiao Yang, Xintian Feng, Martin Head-Gordon, Ruslan Salakhutdinov, Maria Fonoberova, Igor Mezic:
Combining Programmable Potentials and Neural Networks for Materials Problems. AAAI Spring Symposium: MLPS 2021 - [c47]Ryan Mohr, Maria Fonoberova, Iva Manojlovic, Aleksandr Andrejcuk, Zlatko Drmac, Yannis G. Kevrekidis, Igor Mezic:
Applications of Koopman Mode Analysis to Neural Networks. AAAI Spring Symposium: MLPS 2021 - [c46]Allan M. Avila, Maria Fonoberova, João P. Hespanha, Igor Mezic, Daniel Clymer, Jonathan Goldstein, Marco A. Pravia, Daniel Javorsek:
Game Balancing using Koopman-based Learning. ACC 2021: 710-717 - 2020
- [c45]Carl Folkestad, Daniel Pastor, Igor Mezic, Ryan Mohr, Maria Fonoberova, Joel Burdick:
Extended Dynamic Mode Decomposition with Learned Koopman Eigenfunctions for Prediction and Control. ACC 2020: 3906-3913 - [c44]Ervin Kamenar, Nelida Crnjaric-Zic, David A. Haggerty, Sasa Zelenika, Elliot W. Hawkes, Igor Mezic:
Prediction of the behavior of a pneumatic soft robot based on Koopman operator theory. MIPRO 2020: 1169-1173 - 2018
- [c43]Hassan Arbabi, Milan Korda, Igor Mezic:
A Data-Driven Koopman Model Predictive Control Framework for Nonlinear Partial Differential Equations. CDC 2018: 6409-6414 - 2016
- [c42]Bradford Littooy, Sophie Loire, Michael Georgescu, Igor Mezic:
Pattern recognition and classification of HVAC rule-based faults in commercial buildings. IEEE BigData 2016: 1412-1421 - [c41]Thibaud Nesztler, Don Kasper, Michael Georgescu, Sophie Loire, Igor Mezic:
Uniformization, organization, association and use of metadata from multiple content providers and manufacturers: A close look at the Building Automation System (BAS) sector. IEEE BigData 2016: 1633-1638 - [c40]Nithin Govindarajan, Hassan Arbabi, Louis van Blargian, Timothy Matchen, Emma Tegling, Igor Mezic:
An operator-theoretic viewpoint to non-smooth dynamical systems: Koopman analysis of a hybrid pendulum. CDC 2016: 6477-6484 - [c39]Fredrik Raak, Yoshihiko Susuki, Igor Mezic, Takashi Hikihara:
On Koopman and dynamic mode decompositions for application to dynamic data with low spatial dimension. CDC 2016: 6485-6491 - 2015
- [c38]Yoshihiko Susuki, Igor Mezic:
A prony approximation of Koopman Mode Decomposition. CDC 2015: 7022-7027 - [c37]Igor Mezic:
On applications of the spectral theory of the Koopman operator in dynamical systems and control theory. CDC 2015: 7034-7041 - 2013
- [c36]Alexandre Mauroy, Igor Mezic:
A spectral operator-theoretic framework for global stability. CDC 2013: 5234-5239 - [c35]Blane Rhoads, Igor Mezic, Andrew Poje:
Efficient Guidance in finite time flow fields. CDC 2013: 6182-6189 - 2012
- [c34]Bryan Eisenhower, Igor Mezic:
Uncertainty in the energy dynamics of commercial office buildings. CDC 2012: 6945-6950 - 2010
- [c33]Blane Rhoads, Igor Mezic, Andrew Poje:
Minimum time feedback control of autonomous underwater vehicles. CDC 2010: 5828-5834 - [c32]George Mathew, Amit Surana, Igor Mezic:
Uniform coverage control of mobile sensor networks for dynamic target detection. CDC 2010: 7292-7299 - [c31]Ryan Mohr, Igor Mezic:
The use of ergodic theory in designing dynamics for search problems. CDC 2010: 7300-7307 - 2009
- [c30]Yoshihiko Susuki, Igor Mezic, Takashi Hikihara:
Global swing instability in the New England power grid model. ACC 2009: 3446-3451 - [c29]Marko Budisic, Igor Mezic:
An approximate parametrization of the ergodic partition using time averaged observables. CDC 2009: 3162-3168 - [c28]Yoshihiko Susuki, Igor Mezic:
Ergodic partition of phase space in continuous dynamical systems. CDC 2009: 7497-7502 - [c27]George Mathew, Igor Mezic:
Spectral Multiscale Coverage: A uniform coverage algorithm for mobile sensor networks. CDC 2009: 7872-7877 - 2008
- [c26]Bryan Eisenhower, Igor Mezic:
Actuation requirements in high dimensional oscillator systems. ACC 2008: 177-182 - [c25]Yoshihiko Susuki, Igor Mezic, Takashi Hikihara:
Global swing instability of multimachine power systems. CDC 2008: 2487-2492 - 2007
- [c24]Bryan Eisenhower, Igor Mezic:
A mechanism for energy transfer leading to conformation change in networked nonlinear systems. CDC 2007: 3976-3981 - [c23]Gregory Hagen, Troy Smith, Andrzej Banaszuk, Ronald R. Coifman, Igor Mezic:
Validation of low-dimensional models using diffusion maps and harmonic averaging. CDC 2007: 5353-5357 - 2006
- [c22]Thomas John, Igor Mezic, Umesh G. Vaidya, M. Lelic:
Low order modeling, dynamics and control of an inert gas based fire protection system. ACC 2006 - 2005
- [c21]Umesh Vaidya, Gregory Hagen, Stéphane Lafon, Andrzej Banaszuk, Igor Mezic, Ronald R. Coifman:
Comparison of Systems using Diffusion Maps. CDC/ECC 2005: 7931-7936 - 2004
- [c20]Igor Mezic, Thordur Runolfsson:
Uncertainty analysis of complex dynamical systems. ACC 2004: 2659-2664 - [c19]Igor Mezic:
Coupled nonlinear dynamical systems: asymptotic behavior and uncertainty propagation. CDC 2004: 1778-1783 - [c18]Subbarao Varigonda, Tamás Kalmár-Nagy, Bob LaBarre, Igor Mezic:
Graph decomposition methods for uncertainty propagation in complex, nonlinear interconnected dynamical systems. CDC 2004: 1794-1798 - [c17]Oliver Junge, Jerrold E. Marsden, Igor Mezic:
Uncertainty in the dynamics of conservative maps. CDC 2004: 2225-2230 - [c16]Andrzej Banaszuk, Prashant G. Mehta, Igor Mezic:
Spectral balance: a frequency domain framework for analysis of nonlinear dynamical systems. CDC 2004: 2244-2249 - 2003
- [c15]Umesh Vaidya, Igor Mezic:
Controllability for a class of discrete-time Hamiltonian systems. CDC 2003: 1351-1356 - [c14]George Mathew, Igor Mezic, Linda R. Petzold:
A multiscale measure for mixing and its applications. CDC 2003: 2314-2321 - [c13]Prashant G. Mehta, Marios C. Soteriou, Andrzej Banaszuk, Igor Mezic:
Fuel control of a ducted bluffbody flame. CDC 2003: 2340-2345 - [c12]Igor Mezic:
Controllability of Hamiltonian systems with drift: action-angle variables and ergodic partition. CDC 2003: 2585-2592 - [c11]Umesh G. Vaidya, Domenico D'Alessandro, Igor Mezic:
Control of Heisenberg spin systems; Lie algebraic decompositions and action-angle variables. CDC 2003: 4174-4178 - [c10]Dmitri Vainchtein, Igor Mezic:
Capture into resonance: A novel method of efficient control. ECC 2003: 3022-3027 - 2002
- [c9]Umesh Vaidya, Igor Mezic:
Controllability of twist maps. ACC 2002: 4648-4653 - 2001
- [c8]Igor Mezic:
Controllability of group translations. ACC 2001: 4058-4060 - [c7]Gregory Hagen, Igor Mezic:
Finite-dimensional decentralized control of semilinear dissipative parabolic PDEs. CDC 2001: 555-560 - [c6]André Valente, Igor Mezic:
Observability and controllability in systems with moving averages. CDC 2001: 2671-2673 - [c5]Bassam Bamieh, Igor Mezic, Makan Fardad:
A framework for destabilization of dynamical systems and mixing enhancement. CDC 2001: 4980-4983 - 2000
- [c4]Gregory Hagen, Igor Mezic:
Control spillover in dissipative evolution equations. ACC 2000: 3783-3787 - [c3]Igor Mezic, Andrzej Banaszuk:
Comparison of systems with complex behavior: spectral methods. CDC 2000: 1224-1231 - [c2]Igor Mezic, S. Narayanan:
Overview of some theoretical and experimental results on modeling and control of shear flows. CDC 2000: 1709-1715 - [c1]Bernd R. Noack, Igor Mezic, Andrzej Banaszuk:
Controlling vortex motion and chaotic advection. CDC 2000: 1716-1723
Informal and Other Publications
- 2023
- [i19]William T. Redman, Juan M. Bello-Rivas, Maria Fonoberova, Ryan Mohr, Ioannis G. Kevrekidis, Igor Mezic:
On Equivalent Optimization of Machine Learning Methods. CoRR abs/2302.09160 (2023) - [i18]Mathias Wanner, Igor Mezic:
On Numerical Methods for Stochastic SINDy. CoRR abs/2306.17814 (2023) - [i17]William T. Redman, Dean Huang, Maria Fonoberova, Igor Mezic:
Koopman Learning with Episodic Memory. CoRR abs/2311.12615 (2023) - [i16]Yanran Wang, Michael J. Banks, Igor Mezic, Takashi Hikihara:
Trajectory Estimation in Unknown Nonlinear Manifold Using Koopman Operator Theory. CoRR abs/2312.05428 (2023) - [i15]Zlatko Drmac, Igor Mezic:
A data driven Koopman-Schur decomposition for computational analysis of nonlinear dynamics. CoRR abs/2312.15837 (2023) - 2022
- [i14]William T. Redman, Maria Fonoberova, Ryan Mohr, Ioannis G. Kevrekidis, Igor Mezic:
Algorithmic (Semi-)Conjugacy via Koopman Operator Theory. CoRR abs/2209.06374 (2022) - 2021
- [i13]William T. Redman, Maria Fonoberova, Ryan Mohr, Ioannis G. Kevrekidis, Igor Mezic:
An Operator Theoretic Perspective on Pruning Deep Neural Networks. CoRR abs/2110.14856 (2021) - 2020
- [i12]Stefan Ivic, Bojan Crnkovic, Hassan Arbabi, Sophie Loire, Patrick Clary, Igor Mezic:
Search strategy in a complex and dynamic environment: the MH370 case. CoRR abs/2004.14110 (2020) - [i11]Iva Manojlovic, Maria Fonoberova, Ryan Mohr, Aleksandr Andrejcuk, Zlatko Drmac, Yannis G. Kevrekidis, Igor Mezic:
Applications of Koopman Mode Analysis to Neural Networks. CoRR abs/2006.11765 (2020) - [i10]Yoshihiko Susuki, Alexandre Mauroy, Igor Mezic:
Koopman Resolvent: A Laplace-Domain Analysis of Nonlinear Autonomous Dynamical Systems. CoRR abs/2009.11544 (2020) - [i9]David A. Haggerty, Michael J. Banks, Patrick C. Curtis, Igor Mezic, Elliot W. Hawkes:
Modeling, Reduction, and Control of a Helically Actuated Inertial Soft Robotic Arm via the Koopman Operator. CoRR abs/2011.07939 (2020) - [i8]Ryan Mohr, Maria Fonoberova, Zlatko Drmac, Iva Manojlovic, Igor Mezic:
Predicting the Critical Number of Layers for Hierarchical Support Vector Regression. CoRR abs/2012.11734 (2020) - 2019
- [i7]Carl Folkestad, Daniel Pastor, Igor Mezic, Ryan Mohr, Maria Fonoberova, Joel Burdick:
Extended Dynamic Mode Decomposition with Learned Koopman Eigenfunctions for Prediction and Control. CoRR abs/1911.08751 (2019) - [i6]Ljuboslav Boskic, Milan Korda, Igor Mezic:
Control-Oriented, Data-Driven Models of Thermal Dynamics. CoRR abs/1912.03860 (2019) - 2018
- [i5]Yoshihiko Susuki, Igor Mezic:
Uniformly Bounded Sets in Quasiperiodically Forced Dynamical Systems. CoRR abs/1808.08340 (2018) - [i4]Zlatko Drmac, Igor Mezic, Ryan Mohr:
On least squares problems with certain Vandermonde-Khatri-Rao structure with applications to DMD. CoRR abs/1811.12562 (2018) - 2017
- [i3]Michael Georgescu, Sophie Loire, Don Kasper, Igor Mezic:
Whole-Building Fault Detection: A Scalable Approach Using Spectral Methods. CoRR abs/1703.07048 (2017) - [i2]Yoshihiko Susuki, Igor Mezic, Fredrik Raak, Takashi Hikihara:
Applied Koopman Operator Theory for Power Systems Technology. CoRR abs/1706.00159 (2017) - 2011
- [i1]Andrzej Banaszuk, Vladimir A. Fonoberov, Thomas A. Frewen, Marin Kobilarov, George Mathew, Igor Mezic, Alessandro Pinto, Tuhin Sahai, Harshad S. Sane, Alberto Speranzon, Amit Surana:
Scalable Approach to Uncertainty Quantification and Robust Design of Interconnected Dynamical Systems. CoRR abs/1103.0733 (2011)
Coauthor Index
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