Concept
Univariate
Publications associées (15)
A Novel Approach for Classification and Forecasting of Time Series in Particle Accelerators
The beam interruptions (interlocks) of particle accelerators, despite being necessary safety measures, lead to abrupt operational changes and a substantial loss of beam time. A novel time series classification approach is applied to decrease beam time loss ...
2021Four-Variable Expanders Over The Prime Fields
Adrian Claudiu Valculescu, Van Thang Pham
Let F-p be a prime field of order p > 2, and let A be a set in F-p with very small size in terms of p. In this note, we show that the number of distinct cubic distances determined by points in A x A satisfies vertical bar(A - A)(3) + (A - A)(3 vertical bar ...
AMER MATHEMATICAL SOC2018New Algorithmic Paradigms for Discrete Problems using Dynamical Systems and Polynomials
Optimization is a fundamental tool in modern science. Numerous important tasks in biology, economy, physics and computer science can be cast as optimization problems. Consider the example of machine learning: recent advances have shown that even the most s ...
EPFL2018Scalable Low-rank Matrix and Tensor Decomposition on Graphs
In many signal processing, machine learning and computer vision applications, one often has to deal with high dimensional and big datasets such as images, videos, web content, etc. The data can come in various forms, such as univariate or multivariate time ...
EPFL2017Multivariate Markov-type and Nikolskii-type inequalities for polynomials associated with downward closed multi-index sets
We present novel Markov-type and Nikolskii-type inequalities for multivariate polynomials associated with arbitrary downward closed multi-index sets in any dimension. Moreover, we show how the constant of these inequalities changes, when the polynomial is ...
Elsevier2015Discrete least squares polynomial approximation with random evaluations − application to parametric and stochastic elliptic PDEs
Fabio Nobile, Giovanni Migliorati
Motivated by the numerical treatment of parametric and stochastic PDEs, we analyze the least-squares method for polynomial approximation of multivariate functions based on random sampling according to a given probability measure. Recent work has shown that ...
2015MATHICSE Technical Report : Discrete least squares polynomial approximation with random evaluations – application to parametric and stochastic elliptic PDES
Fabio Nobile, Giovanni Migliorati
Motivated by the numerical treatment of parametric and stochastic PDEs, we analyze the least-squares method for polynomial approximation of multivariate func- tions based on random sampling according to a given probability measure. Recent work has shown th ...
MATHICSE2014Multimodal graph theoretical analysis of functional brain connectivity using adaptive two-step strategy
Dimitri Nestor Alice Van De Ville, Djalel Eddine Meskaldji
Recently, we proposed a two-step adaptive strategy for the statistical analysis of brain connectivity that is based on a first screening at the subnetwork level and a filtering at the connection/node level. The method was shown to guarantee strong control ...
2014Modelling Time Series Extremes
Anthony Christopher Davison, Valérie Chavez
The need to model rare events of univariate time series has led to many recent advances in theory and methods. In this paper, we review telegraphically the literature on extremes of dependent time series and list some remaining challenges. ...
2012On the optimal polynomial approximation of stochastic PDEs by Galerkin and Collocation methods
Fabio Nobile, Lorenzo Tamellini
In this work we focus on the numerical approximation of the solution u of a linear elliptic PDE with stochastic coefficients. The problem is rewritten as a parametric PDE and the functional dependence of the solution on the parameters is approximated by mu ...
World Scientific Publ Co Pte Ltd2012