**See the Google Agenda of the seminar, and add the iCal url to your calenda**

## CANCELED Pierre-Cyril Aubin-Frankowski (Mines ParisTech)

*Thursday, April 30th, 10h — Salle de séminaire du CERMICS
*

Kernel Regression with Hard Shape Constraints

Regression problems in control or machine learning typically involve shape constraints, such as positivity or monotonicity on a prescribed compact set. Such constraints stem from qualitative priors or physical constraints, and can often be written as an infinite number of pointwise inequalities. In the context of optimization over reproducing kernel Hilbert spaces of smooth functions, I will describe how to solve a strengthened problem with a finite number of second-order cone constraints and compute a priori and a posteriori bounds. This approach relies on coverings of compact sets in Hilbert spaces. It has been applied to non-crossing joint quantile regression, to Engel’s law in economics and to analyze or reconstruct vehicle trajectories. The second part of the talk will be devoted to the design of kernels of Sobolev spaces (through Green’s functions) to tackle linear-quadratic optimal control problems with state constraints.

## CANCELED Nathalie Ayi (Sorbonne Université)

*Thursday, May 28th, 10h — Salle de séminaire du CERMICS
*

TBA

## CANCELED Charles Dapogny (LJK, Grenoble)

*Thursday, June 11th, 10h — Salle de séminaire du CERMICS
*

TBA

## CANCELED Olivier Zahm (Inria Grenoble)

*Thursday, June 25th, 10h — Salle de séminaire du CERMICS
*

TBA

Archive of past seminars: here

Organizers: Antoine Levitt, Julien Reygner.