Laboratoire de Probabilités, Statistique et Modélisation
Présentation
Le Laboratoire de Probabilités, Statistique et Modélisation, dans sa forme actuelle, a résulté, au 1er janvier 1999, de la fusion de l'ancien Laboratoire de probabilité de l'université Paris 6 avec l'équipe de Probabilités et statistique de l'université Paris Diderot.
Le laboratoire compte environ 70 enseignants-chercheurs permanents, 50 thésards, une équipe administrative de 6 personnes. Il accueille de plus les activités de deux masters deuxième année, ce qui représente plus de 200 étudiants chaque année.
La thématique du laboratoire s'inscrit dans le domaine des mathématiques appliquées et a pour objet la modélisation, la description et l'estimation des phénomènes aléatoires. Les thèmes de recherche abordés ici concernent des domaines très variés et recouvrent aussi bien des mathématiques fondamentales que des applications dans des domaines aussi divers que la médecine, les sciences humaines, l'astrophysique, les assurances ou la finance...
Thèmes de recherche
1. Théorie ergodique et systèmes dynamiques
2. Modélisation stochastique
3. Mouvement brownien et calcul stochastique
4. Statistiques
Equipes de recherche
Le laboratoire comprend six équipes :
- Théorie ergodique et systèmes dynamiques,
- Modélisation stochastique,
- Mouvement brownien et calcul stochastique,
- Statistique,
- Probabilités numériques et mathématiques financières,
- Probabilités-statistiques-biologie.
[hal-01167837] Statistical clustering of temporal networks through a dynamic stochastic block model
Date: 5 Feb 2016 - 13:56
Desc: Statistical node clustering in discrete time dynamic networks is an emerging field that raises many challenges. Here, we explore statistical properties and frequentist inference in a model that combines a stochastic block model (SBM) for its static part with independent Markov chains for the evolution of the nodes groups through time. We model binary data as well as weighted dynamic random graphs (with discrete or continuous edges values). Our approach, motivated by the importance of controlling for label switching issues across the different time steps, focuses on detecting groups characterized by a stable within group connectivity behavior. We study identifiability of the model parameters , propose an inference procedure based on a variational expectation maximization algorithm as well as a model selection criterion to select for the number of groups. We carefully discuss our initialization strategy which plays an important role in the method and compare our procedure with existing ones on synthetic datasets. We also illustrate our approach on dynamic contact networks, one of encounters among high school students and two others on animal interactions. An implementation of the method is available as a R package called dynsbm.
[hal-00824206] Acceleration of clear cell renal cell carcinoma growth in mice following bevacizumab/Avastin treatment: the role of CXCL cytokines.
Date: 21 May 2013 - 13:11
Desc: The anti-VEGF targeted antibody bevacizumab (BVZ) has been approved for treating renal cell carcinomas (RCCs). Although BVZ increases the progression-free survival of patients with metastatic RCC, the effect on overall survival is poor. To gain insight into the limited efficacy of BVZ on overall survival, we analyzed patient samples of RCC for angiogenic factors that may participate in escape from anti-VEGF therapy. Our study shows that the level of vascular endothelial growth factor (VEGF) in tumors was increased compared with normal tissue. The level of interleukin-8/CXCL8, a pro-angiogenic member of the CXCL family of cytokines, was also increased in tumors. These observations gave us a good reason to analyze the combined effects of BVZ and anti-CXCL8 antibodies on tumor growth. Surprisingly, we report that BVZ accelerates the growth of RCC in nude mice with in vivo selection of tumor cells with an increased growth capacity. Downregulation of receptor tyrosine phosphatase-κ, a phosphatase implicated in EGF receptor regulation, may partly explain this phenomenon. Modification of the vascular network and development of lymphatic vessels through VEGF-C production and compensatory production of pro-angiogenic CXCL cytokines were also observed. The apparent normalization of the vascular network prompted us to associate BVZ with the chemotherapeutic agent paclitaxel. While efficient in vitro, paclitaxel did not reverse the anti-VEGF effects in vivo. Anti-CXCL8-targeting antibodies were promising as they decreased intra-tumor VEGF production; decreased the pro-angiogenic CXCL/anti-angiogenic CXCL ratio and did not induce lymphangiogenesis. These observations hold clinical implication as they highlight putative markers implicated in escape from BVZ treatment. They also recommend proceeding with caution in the use of anti-VEGF therapy alone for treatment of RCC.
[hal-01426652] Revealing the hidden structure of dynamic ecological networks
Date: 5 Jan 2017 - 15:59
Desc: Recent technological advances and long-term data studies provide interaction data that can be modelled through dynamic networks, i.e a sequence of different snapshots of an evolving ecological network. Most often time is the parameter along which these networks evolve but any other one-dimensional gradient (temperature, altitude, depth, humidity, . . . ) could be considered. Here we propose a statistical tool to analyse the underlying structure of these networks and follow its evolution dynamics (either in time or any other one-dimensional factor). It consists in extracting the main features of these networks and summarise them into a high-level view. We analyse a dynamic animal contact network and a seasonal food web and in both cases we show that our approach allows for the identification of a backbone organisation as well as interesting temporal variations at the individual level. Our method, implemented into the R package dynsbm, can handle the largest ecological datasets and is a versatile and promising tool for ecologists that study dynamic interactions.
[hal-01349773] Robustness of the Parsimonious Reconciliation Method in Cophylogeny
Date: 28 Jul 2016 - 17:28
Desc: The aim of this paper is to explore the robustness of the parsimonious host-symbiont tree reconciliation method under editing or small perturbations of the input. The editing involves making different choices of unique symbiont mapping to a host in the case where multiple associations exist. This is made necessary by the fact that no tree reconciliation method is currently able to handle such associations. The analysis performed could however also address the problem of errors. The perturbations are re-rootings of the symbiont tree to deal with a possibly wrong placement of the root specially in the case of fast-evolving species. In order to do this robustness analysis, we introduce a simulation scheme specifically designed for the host-symbiont cophylogeny context, as well as a measure to compare sets of tree reconciliations, both of which are of interest by themselves.
[hal-00481055] Report card and indicators of quality in the Seine Estuary: from a scientific approach to an operational tool.
Date: 5 May 2010 - 19:19
Desc: [...]
Autres contacts
U.F.R. Mathématiques
Sophie-Germain
75013 PARIS