Journées Julia et Optimisation

Session

Julia & Scientific Computing

5 oct. 2023, 14:00

Jean-Baptiste Say (CNAM Paris)

9. Data clustering with Julia

Claire Brécheteau (Ecole Centrale Nantes), Pierre Navaro (CNRS)

05/10/2023 14:00

Topological Data Analysis (TDA) is an analysis method that aims to identify patterns and structures underlying complex data sets. TDA can be used to extract important information about the data, such as groupings and clusters. I'm going to describe an example of how to implement this method and explain why we chose the Julia language.

6. Shine of multiple dispatch: the `Copulas.jl` case.

Oskar Laverny (UCLouvain)

05/10/2023 14:30

Since half a century, the notion of Copulas, introduced by Sklar in 1959, is the standard approach to model complex dependence structures in multivariate random vectors. In a broad range of domains, multivariate statistics and dependence structure modeling is an important part of the statistical treatment of the information, and therefore many applied domains have widely adopted copulas...

13. From non-differentiability to discrete geometry: B-differential, hyperplanes and matroids

Baptiste Plaquevent-Jourdain (Inria Paris (Sorbonne U) / Université de Sherbrooke (Québec))

05/10/2023 15:30

Systems of nonsmooth nonlinear equations of the form H(x) = 0 can often be solved by the semismooth Newton method. An adaptation of the classic Newton method, it yields fast local convergence with little cost per iteration, provided the B-differential of H has only nonsingular Jacobians at the solution. Such setting of nonsmooth H is encountered when complementarity problems are reformulated...

3. Seleroute.jl, a generic package for network-routing optimisation

Thibaut Cuvelier (Google)

05/10/2023 16:00

Seleroute.jl is an implementation of many state-of-the-art algorithms to compute optimum computer-network routing. These include oblivious routing to take into account the demand uncertainty into the routing or variants of fair routing. The possibilities of Julia have had a decisive impact on design decisions.

29. Improving the accuracy of LP storage models: a systematic approach using XPORTA.jl

Maaike Elgersma (Delft University of Technology)

05/10/2023 16:30

Energy storage systems have become a promising option to increase power system flexibility and harness larger shares of variable renewable energy. To get a full picture of their potential operation and benefits, a realistic representation of their characteristics is essential in power system models. Energy storage models require binary variables to correctly model reserves and to ensure that...

28. Dionysos.jl: a Modular Platform for Smart Symbolic Control

Adrien Banse (UCLouvain)

05/10/2023 17:00

We introduce Dionysos, a highly modular package for solving optimal control problems for complex dynamical systems using state-of-the-art and experimental techniques from symbolic control, optimization, and learning. More often than not with Cyber-Physical systems, the only sensible way of developing a controller is by discretizing the different variables, thus transforming the model into a...