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96 papers · 1 filter
Fast Incremental Expectation Maximization for finite-sum optimization: nonasymptotic convergence
Gersende Fort, P. Gach, E. Moulines
Fast Incremental Expectation Maximization (FIEM) is a version of the EM framework for large datasets. In this paper, we first recast FIEM and other incremental EM type algorithms i…
Minimizing rational functions: a hierarchy of approximations via pushforward measures
Jean Bernard Lasserre, Victor Magron, Swann Marx +1
This paper is concerned with minimizing a sum of rational functions over a compact set of high-dimension. Our approach relies on the second Lasserre's hierarchy (also known as the…
Horospherical two-orbit varieties as zero loci
Boris Pasquier, Laurent Manivel
We present geometric realizations of horospherical two-orbit varieties, by showing that their blow-up along the unique closed-invariant orbit is the zero locus of a general section…
Existence and non-existence for the collision-induced breakage equation
Ankik Kumar Giri, Philippe Laurençot
A mathematical model for collision-induced breakage is considered. Existence of weak solutions to the continuous nonlinear collision-induced breakage equation is shown for a large…
curves with index
Ciro Ciliberto, Thomas Dedieu
Let be the moduli stack of pairs with a surface and a genus curve with divisibility in . In this article…
SONC Optimization and Exact Nonnegativity Certificates via Second-Order Cone Programming
Victor Magron, Jie Wang
The second-order cone (SOC) is a class of simple convex cones and optimizing over them can be done more efficiently than with semidefinite programming. It is interesting both in th…