119 citations · 119 across the 3 of their papers we have counts for
3 papers
math.OC2017
A polynomial time algebraic solution to exact marginal inference in Markov Random Field models
Ikhlef Bechar
This paper develops on algebraic grounds a polynomial time exact linear solution to the hard combinatorial problem of marginal inference in Markov random field (MRF) models under g…
math.ST2009★ 119 cited
A Bernstein-type inequality for stochastic processes of quadratic forms of Gaussian variables
Ikhlef Bechar
We introduce a Bernstein-type inequality which serves to uniformly control quadratic forms of gaussian variables. The latter can for example be used to derive sharp model selection…
math.ST2009
Non-asymptotic model selection for linear non least-squares estimation in regression models and inverse problems
Ikhlef Bechar
We propose to address the common problem of linear estimation in linear statistical models by using a model selection approach via penalization. Depending then on the framework in…