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    PGMO Courses 2023

    15-16 February 2024

    Real algebraic geometry and optimization

    The purpose of the course is to provide a comprehensive access to interesting and important techniques in the interplay of real algebraic geometry and optimization. In the modern developments, these methods are essential for the optimization of polynomials and of exponential sums.

    The lectures provide the background from real algebraic geometry and conic optimization, offer a comprehensive look behind the scenes of current polynomial optimization techniques and discuss recent developments. The topics and aspects include semialgebraic foundations, positive polynomials
    through sum of squares and convexity, polynomial optimization, spectrahedra, hyperbolic optimization, symmetry reduction, relative entropy methods and sums of nonnegative circuit polynomials.

    --- > École Polytechnique

    Schedule : 15 and 16 February 2024 - 10:00-12:45 / 14:15-17:00

    Registration is free of charge but mandatory, registration instructions
    will be given here in due course.



    PGMO Courses History

      Course CORREA José

      published the February 16, 2023
      Correa José (Universidad de Chile) April Tuesday 11th and Thursday 13th, 2023 "Prophet Inequalities" A prophet inequality refers to the existence of an online algorithm for a stochastic optimization problem whose outcome is, in expectation, close to that of a …

      Course STEIDL Gabriele

      published the November 22, 2022
      Gabriele Steidl (Technische Universität Berlin) Website February Tuesday 7th and Thursday 9th, 2023 "Splitting Algorithms and Generalized Normalizing Flows" Variational methods are a quite universal and flexible approach for solving inverse problems, in particular in imaging sciences. Taking into account …

      PGMO Courses 2022

      published the March 7, 2022
      PGMO Courses 2022 François Delarue (Université Côte d'Azur) "Mean field games" March 7-8, 2022 "Mean field games" The objective of this course is to give an overview of the theory of mean field games, initiated by J.M. Lasry et P.L. …

      PGMO Courses 2021

      published the March 8, 2022
      PGMO Course 2021 February 3rd and 10th, 2021 "DYNAMICS IN GAMES: ALGORITHMS AND LEARNING" Sylvain Sorin Game theory studies interactions between agents with specific aims, be they rational actors, genes, or computers. This course is intended to provide the main …

      PGMO Courses 2020

      published the February 6, 2022
      PGMO Course 2020 September 10-11, 2020 PGMO Lecture "Algorithmic game theory : from multi-agent optimization to online learning" Roberto Cominetti (Universidad Adolfo Ibáñez, Santiago) Biography and Panayotis Mertikopoulos (LIG, Grenoble) Biography A satellite event of the SMAI-MODE 2020 conference organized …

      PGMO Courses 2019

      published the February 5, 2022
      PGMO Course 2019 January 14-15, 2019 - " A VU-point of view of nonsmooth optimization " Claudia SAGASTIZABAL (Unicamp, Brazil) - Ensta Abstract Slide 1 Slide 2 PGMO Course 2019 March 20-21, 2019 - STOCHASTIC PROGRAMMING Alexander SHAPIRO (Georgia Tech) …

      PGMO Courses 2018

      published the February 4, 2022
      PGMO Course 2018 January 24-216, 2018 - "Interior Point Methods for Very Large Scale Optimization" Jacek GONDZIO (University of Edinburgh) Biography Abstract Lecture 1 Lecture 2 Lecture 3 Lecture 4 Lecture 5 PGMO Course 2018 March, 13-14, 2018 - "BANDIT …

      PGMO Courses 2017

      published the February 3, 2022
      PGMO Course 2017 January, 25-26, 2017 - "First Order Optimization Methods" Marc TEBOULLE (Tel Aviv University) Abstract Poster PGMO Course 2017 February 21st, 2017 March 7th, 2017 - "Discrete convexity and applications : from stable matchings to quantum groups" Gleb …

      PGMO Courses 2016

      published the February 2, 2022
      PGMO Course 2016 December 13, 2016 - "The technician routing problem with conventional and electric vehicles" Jose A. Montoya Abstract PGMO Course 2016 October 19, 2016 - "Smart Grids and Optimization: A Winning Combination" Miguel F. Anjos Abstract PGMO Course …

      Pgmo Courses 2013-2014

      published the February 1, 2022
      PGMO Course 2014 May 5th, 2014, Ensta - "Bi-level stochastic programming" Georg Pflug (University of Vienna) Quite often, the result of our decisions depend on the action of others. A typical example is the setting of contracts, where the price …