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Publications associées (52)
Koopman-based Data-driven Robust Control of Nonlinear Systems Using Integral Quadratic Constraints
This paper introduces a novel method for data-driven robust control of nonlinear systems based on the Koopman operator, utilizing Integral Quadratic Constraints (IQCs). The Koopman operator theory facilitates the linear representation of nonlinear system d ...
2024Invariant integrals on topological groups
We generalize the fixed-point property for discrete groups acting on convex cones given by Monod in [23] to topological groups. At first, we focus on describing this fixed-point property from a functional point of view, and then we look at the class of gro ...
ACADEMIC PRESS INC ELSEVIER SCIENCE2022Atomic length in Weyl groups
We define a new statistic on Weyl groups called the atomic length and investigate its combinatorial and representation-theoretic properties. In finite types, we show a number of properties of the atomic length which are reminiscent of the properties of the ...
2022A b-symplectic slice theorem
In this article, motivated by the study of symplectic structures on manifolds with boundary and the systematic study of b-symplectic manifolds started in Guillemin, Miranda, and Pires Adv. Math. 264 (2014), 864-896, we prove a slice theorem for Lie group a ...
WILEY2022Spectra of non-regular elements in irreducible representations of simple algebraic groups
We study the spectra of non-regular semisimple elements in irreducible representations of simple algebraic groups. More precisely, we prove that if G is a simply connected simple linear algebraic group and φ : G → GL(V ) is a non-trivial irreducible repres ...
2021Contextual semantic interpretability
Devis Tuia, Sylvain Lobry, Nicolas Courty
Convolutional neural networks (CNN) are known to learn an image representation that captures concepts relevant to the task, but do so in an implicit way that hampers model interpretability. However, one could argue that such a representation is hidden in t ...
LNCS2020Principal Component Analysis By Optimization Of Symmetric Functions Has No Spurious Local Optima
Principal component analysis (PCA) finds the best linear representation of data and is an indispensable tool in many learning and inference tasks. Classically, principal components of a dataset are interpreted as the directions that preserve most of its "e ...
SIAM PUBLICATIONS2020A new kind of atlas of zeolite building blocks
Michele Ceriotti, Benjamin Aaron Helfrecht, Rocio Semino Barbaresi, Giovanni Pireddu
We have analyzed structural motifs in the Deem database of hypothetical zeolites to investigate whether the structural diversity found in this database can be well-represented by classical descriptors, such as distances, angles, and ring sizes, or whether ...
2019Peripersonal space (PPS) as a multisensory interface between the individual and the environment, defining the space of the self
Our brain has developed a specific system to represent the space closely surrounding the body, termed pen personal space (PPS). This space has a key functional role as it is where all physical interactions with objects in the environment occur. Here I desc ...
PERGAMON-ELSEVIER SCIENCE LTD2019