Exterior Convexity And Classical Calculus Of Variations

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The concentration-mass (c-M) relation encodes key information about the assembly history of dark matter halos. However, its behavior at the high mass end has not been measured precisely in observations yet. In this paper, we report the measurement of the h ...

We consider a statistical model for finite-rank symmetric tensor factorization and prove a single-letter variational expression for its asymptotic mutual information when the tensor is of even order. The proof applies the adaptive interpolation method orig ...

Let G be a simply connected simple algebraic group over an al- gebraically closed ﬁeld k of characteristic p > 0. The category of rationalG-modules is not semisimple. We consider the question of when the tensorproduct of two simple G-modules L(λ) and L(μ) ...

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We consider the problem of finding a saddle point for the convex-concave objective

\min_x \max_y f(x) + \langle Ax, y\rangle - g^*(y)

, where

f

is a convex function with locally Lipschitz gradient and

g

is convex and possibly non-smooth. We propose an ...

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Using arguments developed by De Giorgi in the 1950's, it is possible to prove the regularity of the solutions to a vast class of variational problems in the Euclidean space. The main goal of the present thesis is to extend these results to the more abstrac ...

Exterior Convexity And Classical Calculus Of Variations

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Halo Mass-concentration Relation at the High-mass End

Mutual information for low-rank even-order symmetric tensor estimation

On complete reducibility of tensor products of simple modules over simple algebraic groups

SEEDisCS: I. Molecular gas in galaxy clusters and their large-scale structure: The case of CL1411.1-1148 at z similar to 0.5

Learning convergence prediction of astrobots in multi-object spectrographs

A first-order primal-dual method with adaptivity to local smoothness

Travail artisanal et production de l'espace bruxellois. Prototype d'atlas lisuel

Regularity in metric spaces