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We consider the group lasso penalty for the linear model. We note that the standard algorithm for solving the problem assumes that the model matrices in each group are orthonormal. Here we consider a ...
Non-asymptotic Oracle Inequalities for the Lasso and Group Lasso in high dimensional logistic model
Logistic model Lasso Group Lasso High-dimensional
2012/6/19
We consider the problem of estimating a function $f_{0}$ in logistic regression model. We propose to estimate this function $f_{0}$ by a sparse approximation build as a linear combinaison of elements ...
Approximate group context tree: applications to dynamic programming and dynamic choice models
categorical time series group context tree dynamic discrete choice models dynamic programming model selection VLMC
2011/9/29
Abstract: The paper considers a variable length Markov chain model associated with a group of stationary processes that share the same context tree but potentially different conditional probabilities....
On blocks stably equivalent to a quantum complete intersection of dimension 9 in characteristic 3 and a case of the abelian defect group conjecture
On blocks stably equivalent to a quantum complete intersection of dimension 9 characteristic abelian defect group conjecture
2011/1/17
Using a stable equivalence due to Rouquier, we prove that Brou´e’s abelian defect group conjecture holds for 3-blocks of defect 2 whose Brauer correspondent has a unique isomorphism class of sim...
Combinatorial methods of character enumeration for the unitriangular group
Combinatorial methods of character enumeration unitriangular group
2011/1/20
Let UTn(q) denote the unitriangular group of unipotent n×n upper triangular matrices over
a field with q elements. The numbers which appear as the degrees of the complex irreducible
characters of UT...