11 citations · 11 across the 6 of their papers we have counts for
6 papers
MAGDiff: Covariate Data Set Shift Detection via Activation Graphs of Deep Neural Networks
Charles Arnal, Felix Hensel, Mathieu Carrière +4
Despite their successful application to a variety of tasks, neural networks remain limited, like other machine learning methods, by their sensitivity to shifts in the data: their p…
Coefficients of almost-degenerate density matrix perturbation theory for eigenvalue problems
Charles Arnal, Louis Garrigue
We investigate almost-degenerate perturbation theory of eigenvalue problems, using spectral projectors, also named density matrices. When several eigenvalues are close to each othe…
Complex conjugation and simplicial algebraic hypersurfaces
Charles Arnal
We call a real algebraic hypersurface in simplicial if it is given by a real Laurent polynomial in -variables that has exactly monomials with non-zero c…
Convolution of a symmetric log-concave distribution and a symmetric bimodal distribution can have any number of modes
Charles Arnal
In this note, we show that the convolution of a discrete symmetric log-concave distribution and a discrete symmetric bimodal distribution can have any strictly positive number of m…
Patchworking real algebraic hypersurfaces with asymptotically large Betti numbers
Charles Arnal
In this article, we describe a recursive method for constructing a family of real projective algebraic hypersurfaces in ambient dimension from families of such hypersurfaces in…
Lefschetz section theorems for tropical hypersurfaces
Charles Arnal, Arthur Renaudineau, Kristin Shaw
We establish variants of the Lefschetz hyperplane section theorem for the integral tropical homology groups of tropical hypersurfaces of toric varieties. It follows from these theo…