- KU Leuven, 24th of November 2023
Low-Rank Univariate Sum-of-Squares Has No Spurious Local Minima
slides - Julia and Optimization Days 2023, 6th of October 2023
Synergy between Macaulay and Sum-of-Squares frameworks
slides - JuMP-dev 2023, 28th of July 2023
Polynomial Optimization
slides - JuliaCon 2023, 26th of July 2023
Polyhedral Computation
slides - SIAM Conference on Optimization (OP23), May 31 - June 3, 2023
Low-Rank Nonconvex Solver for Sum-of-Squares
slides - SIAM Conference on Applications of Dynamical Systems (DS23), May 14 - 18 2023
Exploiting the Structure of a Polynomial Optimization Problem
slides - JuMP-dev 2022, July 2022
Complex number support in JuMP - JuliaCon 2022, July 2022
Multivariate polynomials in Julia
slides - 7th International Conference on Continuous Optimization (ICCOPT), July 2022
Complex numbers in JuMP - Summer School of the 7th International Conference on Continuous Optimization (ICCOPT), July 2022
Mathematical Optimization in Julia with JuMP
code - TraDE-OPT Workshop on Algorithmic and Continuous Optimization, July 2022
Implementation of a solver in Julia / Introduction to JuMP
code - TraDE-OPT Workshop on Algorithmic and Continuous Optimization, July 2022
Low-Rank Univariate Sum-of-Squares Has No Spurious Local Minima
slides - INFORMS Computing Society Conference, January 2022
First-order methods for Sum-of-Squares programs - INFORMS Computing Society Conference, January 2022
Symmetry Reduction for Sum-of-Squares Optimization
slides - 2021 INFORMS Annual Meeting, October 2021
Matrix representations for MathOptInterface
slides - 2nd POEMA Learning Week, September 2021
Sum-of-Squares optimization with JuMP in Julia
slides - JuliaCon 2021, July 2021
MutableArithmetics: An API for mutable operations
slides live video - JuMP-dev 2021, July 2021
Symmetry reduction for Sum-of-Squares programming
slides live video - 18th European Conference in Operational Research (EUROPT), July 2021
Polynomial optimization applied to set computation
slides - 7th IFAC Conference on Analysis and Design of Hybrid Systems (ADHS), July 2021
Geometric control of algebraic systems
slides - 59th IEEE Conference on Decision and Control (CDC), December 2020
Stability of Planar Switched Systems under Delayed Event Detection
slides - 59th IEEE Conference on Decision and Control (CDC), December 2020
Piecewise semi-ellipsoidal control invariant sets
slides - 2020 INFORMS Annual Meeting, November 2020
MathOptInterface: A Data Structure for Mathematical Optimization Problems
slides - 2020 INFORMS Annual Meeting, November 2020
SumOfSquares: A Julia package for Polynomial Optimization
slides - N-SIDE, October 2019
Julia for Operations Research
slides - Berlin Julia Users Group, August 2019
Extending JuMP and MathOptInterface
slides - 6th International Conference on Continuous Optimization (ICCOPT), August 2019
Computing polynomial controlled invariant sets using Sum-of-Squares Programming
slides - JuliaCon 2019, July 2019
Polynomial and Moment Optimization in Julia and JuMP
slides video - Los Alamos National Institute (LANL), Center for Nonlinear Studies (CNLS) 2019, July 2019
Automatic reformulation using optimization bridges
slides - 17th European Conference in Operational Research (EUROPT), June 2019
JuMP and MathOptInterface: An optimization framework extensible by design
slides - juliaday Nantes 2019, June 2019
JuMP extension to Sum-of-Squares Programming
slides - 3rd Annual JuMP-dev Workshop, March 2019
Set Programming with JuMP
slides video - 3rd Annual JuMP-dev Workshop, March 2019
Advanced JuMP and MathOptInterface tutorial
notebooks video - 57th IEEE Conference on Decision and Control (CDC), December 2018
Minimally Constrained Stable Switched Systems and Application to Co-simulation
slides - Summer School on Numerical Computing in Algebraic Geometry, August 2018
Computing semialgebraic invariant sets for dynamical systems
slides - IFAC Conference on Analysis and Design of Hybrid Systems (ADHS), July 2018
Computing controlled invariant sets for hybrid systems with applications to model-predictive control
slides code - 23rd International Symposium on Mathematical Programming (ISMP), July 2018
Computing ellipsoidal controlled invariant sets for stochastic programming
slides code - 2nd Annual JuMP-dev Workshop, June 2018
Automatic reformulation using constraint bridges
slides code - 37th Benelux Meeting on Systems and Control, March 2018
Computing controlled invariant sets using semidefinite programming
slides - UAntwerpen, February 2018
Optimal Stabilization of Constrained Switched Systems and Application to (Co-)simulation
slides - 1st Annual JuMP-dev Workshop, June 2017
Sum-of-squares optimization in Julia
slides video - Ecole des Ponts, June 2017
Parallel optimization on the Entropic Cone
slides - 36th Benelux Meeting on Systems and Control, March 2017
Certifying unstability of Switched Systems using Sum of Squares Programming
pdf slides - UCLA Electrical Engineering Dept., March 2017
Certifying unstability of Switched Systems using Sum of Squares Programming
slides - Czech Technical University in Prague, November 2016
Generating unstable trajectories for Switched Systems via Dual Sum-Of-Squares techniques
slides - 37rd Symposium on Information Theory in the Benelux, May 2016
Parallel optimization on the Entropic Cone
slides - 19th ACM International Conference on Hybrid Systems: Computation and Control (HSCC), April 2016
Generating unstable trajectories for Switched Systems via Dual Sum-Of-Squares techniques
slides