April 21, 2023 – The Mezić Group is pleased to host James Richard Forbes from McGill University, Canada.
James Richard Forbes, from McGill University, Canada will give a Zoom seminar on April 21, 2023 at 9AM PST.
Title: Data-driven Koopman Operator Approximation
Abstract: Using the Koopman operator, nonlinear systems can be expressed as infinite-dimensional linear systems. Data-driven methods can then be used to approximate a finite-dimensional Koopman operator,...
Read moreMay 20 and June 10, 2022 – The Mezić Group is pleased to host Allan Avila from AIMdyn Inc.
Allan Avila from AIMdyn Inc., USA will give a Zoom seminar on May 20 and June 10, 2022 at 9AM PST.
Title: Spectral Properties of Pullback Operators on Vector Bundles of a Dynamical System
Abstract: The spectrum of the Koopman operator has been shown to encode many important statistical and geometric properties of a dynamical system. In this talk, we consider induced linear...
Read moreApril 8, 2022 – The Mezić Group is pleased to host Mario Sznaier from Northeastern University, USA
Mario Sznaier from Northeastern University, USA will give a Zoom seminar on Friday, April 8, 2022 at 9AM PST.
Title: A Convex Optimization Approach to Learning Koopman Operators from Data
Abstract: Koopman operators provide tractable means of learning linear approximations of non-linear dynamics. Many approaches have been proposed to find these operators, typically ...
Read moreMarch 10, 2022 – The Mezić Group is pleased to host Eduardo Mojica-Nava from Universidad Nacional de Colombia, Bogotá, Colombia
A recording of the talk is on our Youtube channel.
Eduardo Mojica-Nava from Universidad Nacional de Colombia, Bogotá, Colombia will give a Zoom seminar on Thursday, March 10, 2022 at 9AM PST.
Title: Koopman-based Learning in Continuous-time Optimization
Abstract: The operator-theoretic framework has emerged as...
Read moreFebruary 3, 2022 – The Mezić Group pleased to host Petar Bevanda from Technical University of Munich
A recording of the talk is on our Youtube channel.
Petar Bevanda from Technical University of Munich, Germany will give a Zoom seminar on Thursday, February 3, 2022 at 9AM PST.
Title: KoopmanizingFlows: Diffeomorphically Learning Stable Koopman Operators
Abstract: Global...
Read moreAlan graduated from UCSB in 2018 with a B.S. in Electrical Engineering. He has officially finished his M.S. in Electrical and Computer Engineering from UCSB in Winter 2022. Congratulations Alan!
December 15, 2021 – The Mezić Group pleased to host Matt Colbrook from University of Cambridge
A recording of the talk is on our Youtube channel.
Matt Colbrook from University of Cambridge, United Kingdom is going to give a Zoom seminar on Wednesday, December 15, 2021 at 9AM PST. The zoom link is here.
Title: ResDMD: Rigorous data-driven computation of spectral properties of Koopman operators for dynamical...
Read moreDecember 12 - 15, 2022 – Igor Mezić will be co-chairing the 2022 International Symposium on Nonlinear Theory and Its Applications (NOLTA2022)
The 2022 International Symposium on Nonlinear Theory and Its Applications - NOLTA2022, will be held at Conference Park 25/7, Opatija, Croatia, December 12th-15th, 2022. The objective of the symposium is to provide a forum for exchanges of the latest results related to...
Read more
Recordings of our talks are on our Youtube channel linked below.
In the Society for Industrial and Applied Mathematics (SIAM) conference on applied dynamical systems - DS21, held virtually due to COVID-19, experts and researchers...
Read moreIgor Mezić receives the prestigious biennial J. D. Crawford Prize from the Society for Industrial and Applied Mathematics (SIAM) Activity Group on Dynamical Systems (SIAG/DS) for his innovative work on the use of the Koopman Operator in the analysis of dynamical systems. Igor's research and his recent success including this award is featured by an article on the ME website titled "Solving the Unsolvable".
Established in 2000, the ...
Read moreErvin joins the Mezić research group as a Fulbright visiting scholar from the University of Rijeka (UNIRI), Faculty of Engineering, Croatia where he works in the Mechanical Engineering Department. Building upon the previous collaboration between UNIRI and UCSB research groups (developing Koopman-based control for nanometric positioning devices), Ervin will be working on the design, modeling, and control of a pneumatic soft robot arm by using Koopman operator methods.
The...
Read moreMezić research group reports on the 3rd year of research on the ARO MURI project "From Data-Driven Operator Theoretic Schemes to Prediction, Inference, and Control of Systems" on March 10 - 12, via a teleconference. The participants include researchers from Caltech, MIT, University of Michigan, University of Washington, and UCSB, as well as researchers from the Army Research Laboratory that are interested in the progress and outcomes of the programs. The successful completion of the first three years of the project has led to the award of...
Read moreWe are pleased to announce that Allan Avila has successfully defended his PhD Thesis “Theory and Applications of Pull-back Operators in Dynamical Systems”.
Mathias graduated from Villanova University in 2018 with a B.S. in Mechanical Engineering. He has officially finished his M.S. in Mechanical Engineering from UCSB in Summer 2020 and will be continuing for his Ph.D. Congratulations Mathias!
Michael received his B.S. and M.S. in aerospace engineering from the University of Illinois at Urbana-Champaign. Welcome Michael!
February 13, 2019 – Visiting researcher Corbinian Schlosser heads back to Austria
Corbinian, originally from Germany, is a mathematics Master's student studying at the University of Innsbruck in Austria. He has been with us since late summer 2018 and is now back at his home university to finish his Master's thesis. We'll miss you Corbi!
February 11 - 15, 2019 – Igor Mezić and colleagues host a workshop at IPAM
Igor Mezić, as part of an orgainizing committee including Didier Henrion (CNRS, LAAS), Senka Macesic (University of Rijeka), and Mihai Putinar (UCSB), hosted a workshop titled "Operator Theoretic Methods in Dynamic Data Analysis and Control" at the Institute for Pure and Applied Mathematics (IPAM) on the UCLA campus.
October 2018 – Postdoctoral researcher Milan Korda leaves the Mezić Group for new position
Milan has been with the Mezić Group since September of 2016 publishing seven papers as first author in that time! Milan is now a researcher at LAAS-CNRS in Toulouse, France. We'll miss you Milan!
September 24, 2018 – Congratulations to Nithin for successfully defending his PhD!
We are pleased to announce that Nithin Govindarajan has successfully defended his PhD Thesis "Periodic Approximations and Spectral Analysis of the Koopman Operator: Theory and Applications."
August 21 - 22, 2018 – Mezić Group Hosts ARO MURI Combustion Conference
UC Santa Barbara welcomes government project leaders and researchers from around the country for two days to discuss and present new findings. Key speakers included Igor Mezić (UCSB), Beverley McKeon (Cal Tech), Yannis Kevrekidis (Princeton), Themis Sapsis (MIT), Steven Brunton (U Washington), and Shai Revzen (U Michigan).
January 15, 2018 – Congratulations to Hassan for successfully defending his PhD!
Hassan Arbabi successfully defended his PhD dissertation titled "Koopman Spectral Analysis and Mixing in Incompressible Flows". His dissertation will be soon available through ProQuest and the UCSB digitial library (Alexandria).
May 20, 2017 – Igor Mezić and his co-workers win a $6.25M DoD MURI award!
Igor Mezić is leading the team that won the 2017 MURI research award to initiate a project titled "From Data‐Driven Operator Theoretic Schemes to Prediction, Inference and Control of Systems". The award, which amounts to 6.25 million dollars, will fund researchers across UCSB, Caltech, University of Washington, University of Michigan and MIT. Igor's research and his recent success including this award is featured by an article on the ME website titled...
Read moreMay 21 - 25, 2017 – SIAM Conference on Applications of Dynamical Systems (DS17)
In the Society for Industrial and Applied Mathematics (SIAM) conference on applied dynamical systems - DS17, held at Snowbird, experts and researchers from all over the world presented their recent findings in the area of applied mathematics and nonlinear dynamics. The Mezić research group from UCSB had a strong presence by unveiling their most recent discoveries centered around Koopman-operator theoretic treatment of complex...
Read moreMarch 31, 2017 – Igor Mezić elected SIAM fellow!
This week, the Society for Industrial and Applied Mathematics (SIAM) announced the class of 2017 SIAM fellows. This fellowship "honors SIAM members who are recognized by their peers as distinguished for their contributions to the discipline". Igor Mezić was elected among ~30 other applied mathematicians for "his sustained innovation at the dynamical systems theory/applications interface; notably for advances in the use of Koopman...
Read moreProfessor Takashi Hikihara from University of Tokyo visits the Mezić Group on Thursday, September 15 and Friday, September 16. Welcome Professor Hikihara!
Our manuscript "Programmable Potentials: Approximate N-body potentials via coarse-level logic", co-authored by Gunjan Thakur, Ryan Mohr, and Igor Mezić, has been accepted for publications by Scientific Reports.
