Concept

Polish space

Related publications (27)

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Capacities in metric spaces

Marc Troyanov

We discuss the potential theory related to variational capacity and the Sobolev capacity on metric measure spaces. We prove our results within the axiomatic framework. ...

2002

A Unified Framework for Max-Min and Min-Max Fairness with Applications

Jean-Yves Le Boudec

Max-min fairness is widely used in various areas of networking. In every case where it is used, there is a proof of existence and one or several algorithms for computing the max-min fair allocation; in most, but not all cases, they are based on the notion ...

2002

A Unified Framework for Max-Min and Min-Max Fairness with Applications

Jean-Yves Le Boudec

2002

An integral characterization of Hajlasz-Sobolev space

Marc Troyanov

We prove that the pointwise inequality used by P. Hajlasz in his definition of Sobolev spaces on metric spaces is equivalent to an integral (Poincaré-type) inequality. ...

2001

Axiomatic theory of Sobolev spaces

Marc Troyanov

We develop an axiomatic approach to the theory of Sobolev spaces on metric measure spaces and we show that this axiomatic construction covers the main known examples (Hajlasz Sobolev spaces, weighted Sobolev spaces, Upper-radients, etc). We then introduce ...

2001

Decision fusion in a multi-modal identity verification system using a multi-linear classifier

This paper presents the use of a multi-linear classifier allowing to fuse the results of several modalities in a multi-modal person identity verification context. In the considered verification system, each of the d modalities forms an autonomous bloc that ...

IDIAP1997

Stochastic Forward Douglas-Rachford Splitting Method for Monotone Inclusions

Volkan Cevher, Alp Yurtsever, Cong Bang Vu

We propose a stochastic Forward-Douglas-Rachford Splitting framework for finding a zero point of the sum of three maximally monotone operators, one of which is cocoercive, in a real separable Hilbert space. We characterize the rate of convergence in expect ...

Springer, Cham0