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51 papers · 1 filter
A zonotopic framework for functional abstractions
Eric Goubault, Sylvie Putot
This article formalizes an abstraction of input/output relations, based on parameterized zonotopes, which we call affine sets. We describe the abstract transfer functions and prove…
Post-Processing of Discovered Association Rules Using Ontologies
Claudia Marinica, Fabrice Guillet, Henri Briand
In Data Mining, the usefulness of association rules is strongly limited by the huge amount of delivered rules. In this paper we propose a new approach to prune and filter discovere…
Decay of Positive Waves for Hyperbolic Systems of Balance Laws
Paola Goatin, Laurent Gosse
We prove Ole\u ınik-type decay estimates for entropy solutions of strictly hyperbolic systems of balance laws built out of a wave-front tracking procedure inside which…
Detection of Gamma Rays From a Starburst Galaxy
The HESS Collaboration, F. Acero
Starburst galaxies exhibit in their central regions a highly increased rate of supernovae, the remnants of which are thought to accelerate energetic cosmic rays up to energies of ~…
Surveying Diffusion in Complex Geometries. An Essay
Denis Grebenkov
The surrounding world surprises us by the beauty and variety of complex shapes that emerge from nanometric to macroscopic scales. Natural or manufactured materials (sandstones, sed…
Integrated volatility and round-off error
Mathieu Rosenbaum
We consider a microstructure model for a financial asset, allowing for price discreteness and for a diffusive behavior at large sampling scale. This model, introduced by Delattre a…