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Methods of topological data analysis have been successfully applied in a wide range of fields to provide useful summaries of the structure of complex data sets in terms of topological descriptors, such as persistence diagrams. While there are many powerfu ...
In our daily lives, people or devices frequently need to learn their location for many reasons as some services depend on the absolute location or the proximity. The outcomes of positioning systems can have critical effects e.g., on military, emergency. Th ...
The invention is related to a method allowing a prover holding a secret key (x) to prove its identity to a verifier and to prove to this verifier that he is within a predetermined distance of this verifier, said method comprising an initialization phase du ...
The class of non-autonomous functionals under study is characterized by the fact that the energy density changes its ellipticity and growth properties according to the point; some regularity results are proved for related minimizers. These results are the ...
The invention is related to a method allowing a prover holding a secret key (x) to prove its identity to a verifier and to prove to this verifier that he is within a predetermined distance of this verifier, said method comprising an initialization phase du ...
In this paper we give a new proof of the ELSV formula. First, we refine an argument of Okounkov and Pandharipande in order to prove (quasi-)polynomiality of Hurwitz numbers without using the ELSV formula (the only way to do that before used the ELSV formul ...
We prove that solutions of a mildly regularized Perona–Malik equation converge, in a slow time scale, to solutions of the total variation flow. The convergence result is global-in-time, and holds true in any space dimension. The proof is based on the gener ...
Indoor scenes are characterized by a high intra-class variability, mainly due to the intrinsic variety of the objects in them, and to the drastic image variations due to (even small) view-point changes. One of the main trends in the literature has been to ...
We consider the problem of comparing several samples of stochastic processes with respect to their second-order structure, and describing the main modes of variation in this second order structure, if present. These tasks can be seen as an Analysis of Vari ...
The existence of minimizers in the fractional isoperimetric problem with multiple volume constraints is proved, together with a partial regularity result. ...