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Symmetry Webinar | Research on Nonlinear Analysis and Its Applications

9 Mar 2022, 10:00 (CET)

Differential Equations, Fixed Point, Nonexpansive Mapping, Turnpikes
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Welcome from the Chair

1st Symmetry Webinar

Research on Nonlinear Analysis and Its Applications

This webinar is devoted to recent advances in nonlinear analysis and its applications.

The growing significance of nonlinear analysis and its applications has been realized in the recent years. This is due not only to theoretical achievements in this area but also because of its numerous applications in engineering, economics, biology, behavioral sciences, etc. It has become increasingly evident that nonlinear analysis is of crucial importance in the mathematical sciences. Its ideas and methods have become essential tools in the analysis of nonlinear phenomena in many areas of mathematics. Among these areas, one can mention ordinary differential equations, partial differential equations, nonlinear operator theory, the calculus of variations, optimal control theory, optimization, and mathematical economics.

Our aim is for this webinar to be valuable to mathematicians and applied scientists who are interested in recent developments in nonlinear analysis and its applications.

Date: 9 March 2022

Time: 10:00am CET | 4:00am EST | 5:00pm CST Asia

Webinar ID: 837 8227 1406

Webinar Secretariat: symmetry.webinar@mdpi.com

Chair

Technion – Israel Institute of Technology, Haifa, Israel

DETAILS
Bio
Senior Research Fellow. Ph.D. in Mathematical Analysis, The Institute of Mathematics, Novo-sibirsk, the former USSR, 1983. Co-Editor-in Chief of the journal Pure and Applied Functional Analysis. Co-Editor-in Chief of the journal Communications in Optimization Theory. Author of 23 research monographs and 560 research papers. Co-editor of 46 special issues of journals and edited volumes

Invited Speakers

Department of Mathematics and Computer Science, University of Heidelberg Speyerer, Heidelberg, Germany

DETAILS
Bio
Professor. Short CV: Jun 2001 B.Sc. in Mathematics and Computer Science at Cluj-Napoca University, Romania. Jun 2003 M.Sc. in Mathematics at Cluj-Napoca University. Jul 2006 Ph.D. in Mathematics at University Würzburg. Feb 2007–Dec 2012 Postdoctoral Research Fellow with IPA at Heidel-berg University (former CVGPR Group, University Mannheim). 2013–2015 Junior Research Group Leader in the Faculty of Mathemat-ics and Informatics at the University of Heidelberg, enrolled in the Margarete von Wrangell postdoctoral lecture qualification program. Since 2015 Professor (W2), Mathematics and Computer Science De-partment at Heidelberg University

Program

Speaker/Presentation

Time in CET

Chair Dr. Alexander Zaslavski

Chair Introduction

10:00 - 10:10 am

Prof. Dr. Stefania Petra

Linearized Assignment Flows for Learning Data Labelings on Graphs

In the first part of the talk, I will discuss different viewpoints on local classification of metric data. Next, I will outline how local decisions are aggregated into non-local interacting decisions through regularization. This prepares and motivates the design of a dynamical system on an elementary statistical manifold, called assignment flow, for the contextual classification of metric data given on a graph. In the second part, I will explain recent work on parameter learning from data using a suitable linearization of assignment flows and low-rank exponential integration.

10:10 - 10:30 am

Dr. Alexander Zaslavski

10:30 - 10:50 am

Q&A Session

10:50 - 11:00 am

Closing of Webinar

Chair

11:00 - 11:05 am

Webinar Content

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Relevant SI

Nonlinear Analysis and Its Applications in Symmetry
Guest Editor: Dr. Alexander Zaslavski
Deadline for manuscript submissions: 15 March 2022

Sponsors and Partners

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