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- Stéphan Clémençon, Héctor de Arazoza, Fabrice Rossi, Viet-Chi Tran
- ESANN
- 2011

This paper describes a graph visualization methodology based on hierarchical maximal modularity clustering, with interactive and significant coarsening and refining possibilities. An application of this method to HIV epidemic analysis in Cuba is outlined.

- Pauline Lafitte-Godillon, Kilian Raschel, Viet-Chi Tran
- SIAM Journal of Applied Mathematics
- 2013

In this paper, we study a flower population in which self-reproduction is not permitted. Individuals are diploid, that is, each cell contains two sets of chromosomes, and distylous, that is, two alleles, A and a, can be found at the considered locus S. Pollen and ovules of flowers with the same genotype at locus S cannot mate. This prevents the pollen of a… (More)

- Stéphan Clémençon, Héctor de Arazoza, Fabrice Rossi, Viet-Chi Tran
- IWANN
- 2011

We show how an interactive graph visualization method based on maximal modularity clustering can be used to explore a large epidemic network. The visual representation is used to display statistical tests results that expose the relations between the propagation of HIV in a sexual contact network and the sexual orientation of the patients.

- David Coupier, Viet-Chi Tran
- Random Struct. Algorithms
- 2013

We consider the Directed Spanning Forest (DSF) constructed as follows: given a Poisson point process N on the plane, the ancestor of each point is the nearest vertex of N having a strictly larger abscissa. We prove that the DSF is actually a tree. Contrary to other directed forests of the literature, no Markovian process can be introduced to study the paths… (More)

- Stéphan Clémençon, Héctor de Arazoza, Fabrice Rossi, Viet-Chi Tran
- Social Network Analysis and Mining
- 2015

The Cuban contact-tracing detection system set up in 1986 allowed the reconstruction and analysis of the sexual network underlying the epidemic (5389 vertices and 4073 edges, giant component of 2386 nodes and 3168 edges), shedding light onto the spread of HIV and the role of contact-tracing. Clustering based on modularity optimization provides a better… (More)

An individual detected as HIV positive in Cuba is asked to provide a list of his/her sexual contacts for the previous 2 years. This allows one to gather detailed information on the spread of the HIV epidemic. Here we study the evolution of the sexual contact graph of detected individuals and also the directed graph of HIV infections. The study covers the… (More)

When predicting the fate and consequences of recurring deleterious mutations in self-fertilising populations most models developed make the assumption that populations have discrete non-overlapping generations. This makes them biologically irrelevant when considering perennial species with overlapping generations and where mating occurs independently of the… (More)

- Viet-Thi Tran, Raphael Porcher, Viet-Chi Tran, Philippe Ravaud
- Journal of clinical epidemiology
- 2017

OBJECTIVE
Sample size in surveys with open-ended questions relies on the principle of data saturation. Determining the point of data saturation is complex because researchers have information on only what they have found. The decision to stop data collection is solely dictated by the judgment and experience of researchers. In this article, we present how… (More)

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