Operator Splitting Methods in Data Analysis

Location

This workshop took place at SAMSI in Research Triangle Park, NC.

Description

Monotone operator splitting methods, which originated in the late 1970’s in the context of partial differential equations, have started to be highly effective for modeling and solving a wide range of data analysis and processing problems, in particular high-dimensional statistical data analysis.

This SAMSI workshop brought together experts from nonlinear analysis, optimization, data analysis and statistics.
to advance the field of operator splitting methods. Specific topics included:
(i) general forms of equilibria that are captured by monotone inclusions,
(ii) nonconvex/nonmonotone splitting methods,
(iii) scaling up of splitting strategies as the numbers of observations and features grow, and
(iv) robustness of splitting methods under perturbations and modeling errors.
The event had a strong focus on presentations that illuminated technical difficulties and highlighted open problems in the field of study.

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Supporting Media

Printable Schedule
Participant List

Wednesday, March 21, 2018
SAMSI in Research Triangle Park, NC.

Description	Speaker	Slides
Welcome/SAMSI	David Banks, SAMSI Director
20-Minute Talk Sessions
	Terry Rockafellar, University of Washington
	Vianney Perchet, École Normale Supérieure Paris-Saclay, Criteo Research
	Massimiliano Pontil, Istituto Italiano di Tecnologia, University College London
20-Minute Talk Sessions
	Radu Bot, Universität Wien
	Yiyuan She, Florida State University
	Silvia Villa, Politecnico di Milano
20-Minute Talk Sessions
	Noah Simon, University of Washington
	Isao Yamada, Tokyo Institute of Technology
20-Minute Talk Sessions
	Kazufumi Ito, North Carolina State University
	Charles Dossal, INSA de Toulouse, Institut de Mathématiques de Toulouse
	Aleksandr Aravkin, University of Washington
	Azam Asl, New York University
	Farid Benmouffok, North Carolina State University

Thursday, March 22, 2018
SAMSI in Research Triangle Park, NC.

Description	Speaker	Slides
20-Minute Talk Sessions
	Hamid Krim, North Carolina State University
	Irina Gaynanova, Texas A&M University
	Saverio Salzo, Istituto Italiano di Tecnologia
20-Minute Talk Session
	Jonathan Eckstein, Rutgers University
20-Minute Talk Sessions
	Khai Nguyen, North Carolina State University
	Gersende Fort, Institut de Mathématiques de Toulouse, Centre National de la Recherche Scientifique
	Aditya Mishra, Flatiron Institute
	Lorena Bociu, North Carolina State University
	Jacob Bien, University of Southern California
20-Minute Talk Sessions
	Lilian Glaudin, Université Pierre et Marie Curie, Laboratoire Jacques-Louis Lions
	Minh Nhut Bui, University of British Columbia
	Zev Woodstock, North Carolina State University
Discussion

Friday, March 23, 2018
SAMSI in Research Triangle Park, NC.

Description	Speaker	Slides
20-Minute Talk Sessions
	Heinz Bauschke, University of British Columbia
	Jean-Christophe Pesquet, CentraleSupélec, Université Paris Saclay
	Marcelo Pereyra, Heriot-Watt University
Discussion
LUNCH/Adjourn