12 pagesTechnical report on the properties of the L0-constrained least-square minimization problem and the L0-penalized least-square minimization problem: domain of optimization, notion of solution path, properties of the "penalized" solution path..
In [2] S.P. Han proposed a method for finding a least-squares solution for systems of linear inequal...
Following the breakthrough work of Tardos (Oper. Res. '86) in the bit-complexity model, Vavasis and ...
AbstractIn this paper we develop a new method to prove the existence of minimizers for a class of co...
International audienceThis paper is devoted to the analysis of necessary (not sufficient) optimality...
On the properties of the solution path of the constrained and penalized L2-L0 problem
For a bounded system of linear equalities and inequalities we show that the NP-hard ?0 norm minimiza...
International audienceWithin the framework of the l0 regularized least squares problem, we focus, in...
summary:To overcome the somewhat artificial difficulties in classical optimization theory concerning...
We present structural results on solutions to the Diophantine system Ay = b, y ∈ Z t ≥0 with the ...
International audienceNumerous nonconvex continuous penalties have been proposed to approach the l0 ...
In this paper, we have proved that in every underdetermined linear system Ax = b, there corresponds ...
International audienceThis paper presents a new way to address the NP-hard combinatorial l2-l0 probl...
In the design or making of a process (e.g. of evaluation), is it common to face say questions of mul...
Motivated by problems in optimization we study the sparsity of the solutions to systems of linear Di...
AbstractThe basic solutions of the linear equations Ax = b are the solutions of subsystems correspon...
In [2] S.P. Han proposed a method for finding a least-squares solution for systems of linear inequal...
Following the breakthrough work of Tardos (Oper. Res. '86) in the bit-complexity model, Vavasis and ...
AbstractIn this paper we develop a new method to prove the existence of minimizers for a class of co...
International audienceThis paper is devoted to the analysis of necessary (not sufficient) optimality...
On the properties of the solution path of the constrained and penalized L2-L0 problem
For a bounded system of linear equalities and inequalities we show that the NP-hard ?0 norm minimiza...
International audienceWithin the framework of the l0 regularized least squares problem, we focus, in...
summary:To overcome the somewhat artificial difficulties in classical optimization theory concerning...
We present structural results on solutions to the Diophantine system Ay = b, y ∈ Z t ≥0 with the ...
International audienceNumerous nonconvex continuous penalties have been proposed to approach the l0 ...
In this paper, we have proved that in every underdetermined linear system Ax = b, there corresponds ...
International audienceThis paper presents a new way to address the NP-hard combinatorial l2-l0 probl...
In the design or making of a process (e.g. of evaluation), is it common to face say questions of mul...
Motivated by problems in optimization we study the sparsity of the solutions to systems of linear Di...
AbstractThe basic solutions of the linear equations Ax = b are the solutions of subsystems correspon...
In [2] S.P. Han proposed a method for finding a least-squares solution for systems of linear inequal...
Following the breakthrough work of Tardos (Oper. Res. '86) in the bit-complexity model, Vavasis and ...
AbstractIn this paper we develop a new method to prove the existence of minimizers for a class of co...