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23 papers · 1 filter
Bayesian Core: The Complete Solution Manual
Christian P. Robert, Jean-Michel Marin
This solution manual contains the unabridged and original solutions to all the exercises proposed in Bayesian Core, along with R programs when necessary.
Ergodic problems and periodic homogenization for fully nonlinear equations in half-space type domains with Neumann boundary conditions
Guy Barles, Francesca Da Lio, Pierre-Louis Lions +1
We study periodic homogenization problems for second-order pde in half-space type domains with Neumann boundary conditions. In particular, we are interested in "singular problems"…
Importance sampling methods for Bayesian discrimination between embedded models
Jean-Michel Marin, Christian P. Robert
This paper surveys some well-established approaches on the approximation of Bayes factors used in Bayesian model choice, mostly as covered in Chen et al. (2000). Our focus here is…
A Modica-Mortola approximation for branched transport
Filippo Santambrogio
The M^αenergy which is usually minimized in branched transport problems among singular 1-dimensional rectifiable vector measures with prescribed divergence is approximated (and con…
Continuity in two dimensions for a very degenerate elliptic equation
Filippo Santambrogio, Vincenzo Vespri
An elliptic equation div(F(Du)) = f whose ellipticity strongly degenerates for small values of Du (say, F = 0 on B(0,1)) is considered. The aim is to prove regularity for F(Du). Th…
A strategy for non-strictly convex transport costs and the example of ||x-y||p in R2
Guillaume Carlier, Luigi De Pascale, Filippo Santambrogio
This paper deals with the existence of optimal transport maps for some optimal transport problems with a convex but non strictly convex cost. We give a decomposition strategy to ad…