activity
20092022
most citedTopological Information Data Analysis

49 citations · 71 across the 8 of their papers we have counts for

collaborators

8 papers

eess.IV2022★ 1 cited

3D-Morphomics, Morphological Features on CT scans for lung nodule malignancy diagnosis

Elias Munoz, Pierre Baudot, Van-Khoa Le +9

Pathologies systematically induce morphological changes, thus providing a major but yet insufficiently quantified source of observables for diagnosis. The study develops a predicti…

cs.IT2022★ 1 cited

Information Decomposition Diagrams Applied beyond Shannon Entropy: A Generalization of Hu's Theorem

Leon Lang, Pierre Baudot, Rick Quax +1

In information theory, one major goal is to find useful functions that summarize the amount of information contained in the interaction of several random variables. Specifically, o…

math.PR2021

On Information (pseudo) Metric

Pierre Baudot

This short note revisit information metric, underlining that it is a pseudo metric on manifolds of observables (random variables), rather than as usual on probability laws. Geodesi…

q-bio.NC2021★ 1 cited

On Information Links

Pierre Baudot

In a joint work with D. Bennequin, we suggested that the (negative) minima of the 3-way multivariate mutual information correspond to Borromean links, paving the way for providing…

q-bio.NC2019

The Poincaré-Boltzmann Machine: from Statistical Physics to Machine Learning and back

Pierre Baudot

This paper presents the computational methods of information cohomology applied to genetic expression in and in the companion paper and proposes its interpretations in terms of sta…

stat.OT2019★ 49 cited

Topological Information Data Analysis

Pierre Baudot, Monica Tapia, Daniel Bennequin +1

This paper presents methods that quantify the structure of statistical interactions within a given data set, and was first used in \cite{Tapia2018}. It establishes new results on t…