3 papers
math.NA2019
Accurate Computation of the Log-Sum-Exp and Softmax Functions
Pierre Blanchard, Desmond J. Higham, Nicholas J. Higham
Evaluating the log-sum-exp function or the softmax function is a key step in many modern data science algorithms, notably in inference and classification. Because of the exponentia…
cs.CG2018
Nonlinear Mapping and Distance Geometry
Alain Franc, Pierre Blanchard, Olivier Coulaud
Distance Geometry Problem (DGP) and Nonlinear Mapping (NLM) are two well established questions: Distance Geometry Problem is about finding a Euclidean realization of an incomplete…
stat.CO2018
A geometric view of Biodiversity: scaling to metagenomics
Pierre Blanchard, Philippe Chaumeil, Jean-Marc Frigerio +5
We have designed a new efficient dimensionality reduction algorithm in order to investigate new ways of accurately characterizing the biodiversity, namely from a geometric point of…