4 papers
On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement
Baptiste Mathevon, Farah Cherfaoui, Amaury Habrard +1
Partial differential equation (PDE) discovery aims to identify from data the governing law of a physical system. Constituting a cornerstone of scientific advancement, it has become…
PAC-Bayesian Bounds on Constrained f-Entropic Risk Measures
Hind Atbir, Farah Cherfaoui, Guillaume Metzler +2
PAC generalization bounds on the risk, when expressed in terms of the expected loss, are often insufficient to capture imbalances between subgroups in the data. To overcome this li…
Recovery and convergence rate of the Frank-Wolfe Algorithm for the m-EXACT-SPARSE Problem
Farah Cherfaoui, Valentin Emiya, Liva Ralaivola +1
We study the properties of the Frank-Wolfe algorithm to solve the m-EXACT-SPARSE reconstruction problem, where a signal y must be expressed as a sparse linear combination of a pred…
Frank-Wolfe Algorithm for the Exact Sparse Problem
Farah Cherfaoui, Valentin Emiya, Liva Ralaivola +1
In this paper, we study the properties of the Frank-Wolfe algorithm to solve the \ExactSparse reconstruction problem. We prove that when the dictionary is quasi-incoherent, at each…