Search results for "computing"
showing 10 items of 25279 documents
Fast Computation by Subdivision of Multidimensional Splines and Their Applications
2016
We present theory and algorithms for fast explicit computations of uni- and multi-dimensional periodic splines of arbitrary order at triadic rational points and of splines of even order at diadic rational points. The algorithms use the forward and the inverse Fast Fourier transform (FFT). The implementation is as fast as FFT computation. The algorithms are based on binary and ternary subdivision of splines. Interpolating and smoothing splines are used for a sample rate convertor such as resolution upsampling of discrete-time signals and digital images and restoration of decimated images that were contaminated by noise. The performance of the rate conversion based spline is compared with the…
ON SOME GENERALIZATION OF SMOOTHING PROBLEMS
2015
The paper deals with the generalized smoothing problem in abstract Hilbert spaces. This generalized problem involves particular cases such as the interpolating problem, the smoothing problem with weights, the smoothing problem with obstacles, the problem on splines in convex sets and others. The theorem on the existence and characterization of a solution of the generalized problem is proved. It is shown how the theorem gives already known theorems in special cases as well as some new results.
Jeu de rôles. La médiation culturelle comme facteur de transformation sociale
2012
International audience
L’écran-palimpseste : cinéma et intertextualité
2011
International audience
Le projet TALIE : présentation et questionnements
2015
International audience
A “Principle-Based” Approach to Intervention by Invitation in Civil Wars
2019
This contribution challenges the idea of the existence of a one-size-fits-all rule that always prohibits or permits outside forcible intervention upon the request of a government engaged in a civil war. Civil wars are complex situations. It seems quite unrealistic to make abstractions of the “topography” of the conflict between the legal principles concretely at stake in each case. Indeed, if self-determination is the main rationale behind the thesis of strict-abstentionism, an important question to ask is whether self-determination always represents an obstacle to external intervention in civil wars to support the established government. Furthermore, the principle of negative equality is s…
Ségrégation spatiale, nouvelles approches, nouveaux résultats
2013
International audience
Large-scale nonlinear dimensionality reduction for network intrusion detection
2017
International audience; Network intrusion detection (NID) is a complex classification problem. In this paper, we combine classification with recent and scalable nonlinear dimensionality reduction (NLDR) methods. Classification and DR are not necessarily adversarial, provided adequate cluster magnification occurring in NLDR methods like $t$-SNE: DR mitigates the curse of dimensionality, while cluster magnification can maintain class separability. We demonstrate experimentally the effectiveness of the approach by analyzing and comparing results on the big KDD99 dataset, using both NLDR quality assessment and classification rate for SVMs and random forests. Since data involves features of mixe…
Platonism, intuition and the nature of mathematics
1988
Platonism is an essential aspect of mathematical method. Mathematicians are learned ability " t o l i v e " in the "world" of mathematical concepts. Here we have the main source of the creative power of mathematics, and of its surprising efficiency in natural sciences and technique. In this way, "living" (sometimes - for many years) in the "world"of their concepts and models, mathematicians are learned to draw a maximum of conclusions from a minimum of premises. Fixed system of basic principles is the distinguishing property of every mathematical theory. Mathematical model of some natural process or technical device is essentially a f i x e d m o d e l which can be investigated indepen…
Les inégalités de mobilité dans les franges périphériques de Belo Horizonte (Brésil) : quelles évolutions ?
2019
International audience