The second author wish to acknowledge support form CONACyT under project 166306, support from PAPIIT-UNAM under project IN112614.

Given a simplicial complex and a collection of subcomplexes covering it, the nerve theorem, a fundamental tool in topological combinatorics, guarante…

We start by observing that σhτ|K×In=∑a∈VKσa,nhτ|K×In, and thus

We consider the a posteriori error analysis of fully discrete approximations of parabolic problems based on conforming $hp$-finite element methods in…

Optimization methods are at the core of many problems in signal/image processing, computer vision, and machine learning. For a long time, it has been…

In this paper, we study the effects of both the amount of open cell walls and their aperture sizes on solid foams permeability. FEM flow simulations …

We introduce and test an algorithm that adaptively estimates large deviation functions characterizing the fluctuations of additive functionals of Mar…

The notion of polytopal map between two polytopal complexes is defined. Surprisingly, this definition is quite simple and extends naturally those of …

We use the scattering network as a generic and fixed ini-tialization of the first layers of a supervised hybrid deep network. We show that early laye…

Carath\'eodory's, Helly's and Radon's theorems are three basic results in discrete geometry. Their max-plus counterparts have been proved by various …

Over the last years, deep convolutional neural networks (ConvNets) have transformed the field of computer vision thanks to their unparalleled capacit…

This section is dedicated to the proof of Theorem 2. The existence of an invariant measure is proven in Subsection 3.2 using the Krylov-Bogoliubov theorem, whereas the uniqueness is addressed through a coupling argument relying on the L10(T)-contrac…

We are interested in viscous scalar conservation laws with a white-in-time but spatially correlated stochastic forcing. The equation is assumed to be…

A thorough comprehension of image content demands a complex grasp of the interactions that may occur in the natural world. One of the key issues is t…

The behaviour of a space-modulated, so-called "argumental" oscillator is studied, which is represented by a model having an even-parity space-modulat…

In this paper we study the application of convolutional neural networks for jointly detecting objects depicted in still images and estimating their 3…

In this article we investigate the outcomes of the standard Least Angle Regression (LAR) algorithm in high dimensions under the Gaussian noise assump…

In man-made environments such as indoor scenes, when point-based 3D reconstruction fails due to the lack of texture, lines can still be detected and …

Random geometric graphs are a popular choice for a latent points generative model for networks. Their definition is based on a sample of $n$ points $…

We propose a certified reduced basis approach for the strong- and weak-constraint four-dimensional variational (4D-Var) data assimilation problem for…

Attention plays a critical role in human visual experience. Furthermore, it has recently been demonstrated that attention can also play an important …

Saint-Venant equations can be generalized to account for a viscoelastic rheology in shallow flows. A Finite-Volume discretization for the 1D Saint-Ve…

We propose a novel object localization methodology with the purpose of boosting the localization accuracy of state-of-the-art object detection system…

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