Search Results - "Mailler, Cécile"
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STOCHASTIC APPROXIMATION ON NONCOMPACT MEASURE SPACES AND APPLICATION TO MEASURE-VALUED PÓLYA PROCESSES
Published in The Annals of applied probability (01-10-2020)“…Our main result is to prove almost-sure convergence of a stochastic-approximation algorithm defined on the space of measures on a noncompact space. Our…”
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Dynamical models for random simplicial complexes
Published in The Annals of applied probability (01-08-2022)“…We study a general model of random dynamical simplicial complexes and derive a formula for the asymptotic degree distribution. This asymptotic formula…”
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Finding geodesics on graphs using reinforcement learning
Published in The Annals of applied probability (01-10-2022)“…It is well known in biology that ants are able to find shortest paths between their nest and the food by successive random explorations, without any mean of…”
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NONEXTENSIVE CONDENSATION IN REINFORCED BRANCHING PROCESSES
Published in The Annals of applied probability (01-08-2017)“…We study a class of branching processes in which a population consists of immortal individuals equipped with a fitness value. Individuals produce offspring…”
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Fluctuations of balanced urns with infinitely many colours
Published in Electronic journal of probability (01-01-2023)“…In this paper, we prove convergence and fluctuation results for measure-valued P\'olya processes (MVPPs, also known as P\'olya urns with infinitely many…”
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Competing growth processes with random growth rates and random birth times
Published in Stochastic processes and their applications (01-05-2021)“…Comparing individual contributions in a strongly interacting system of stochastic growth processes can be a very difficult problem. This is particularly the…”
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And/or trees: A local limit point of view
Published in Random structures & algorithms (01-08-2018)“…We present here a new and universal approach for the study of random and/or trees, unifying in one framework many different models, including some novel ones…”
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Strict monotonic trees arising from evolutionary processes: Combinatorial and probabilistic study
Published in Advances in applied mathematics (01-02-2022)“…In this paper we study two models of labelled random trees that generalise the original unlabelled Schröder tree. Our new models can be seen as models for…”
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Scaling limit of critical random trees in random environment
Published in Electronic journal of probability (01-01-2024)Get full text
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Generalised and Quotient Models for Random And/Or Trees and Application to Satisfiability
Published in Algorithmica (01-12-2016)“…This article is motivated by the following satisfiability question: pick uniformly at random an and / or Boolean expression of length n , built on a set of k n…”
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The trace-reinforced ants process does not find shortest paths
Published in Journal de l'École polytechnique. Mathématiques (01-01-2022)“…In this paper, we study a probabilistic reinforcement-learning model for ants searching for the shortest path(s) between their nest and a source of food. In…”
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Condensation and symmetry-breaking in the zero-range process with weak site disorder
Published in Stochastic processes and their applications (01-11-2016)“…Condensation phenomena in particle systems typically occur as one of two distinct types: either as a spontaneous symmetry breaking in a homogeneous system, in…”
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Associative and commutative tree representations for Boolean functions
Published in Theoretical computer science (09-03-2015)“…Since the 1990s, the probability distribution on Boolean functions, induced by some random formulas built upon the connectives And and Or, has been intensively…”
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Random matrices and random graphs
Published in ESAIM. Proceedings and surveys (01-11-2023)“…We collect recent results on random matrices and random graphs. The topics covered are: fluctuations of the empirical measure of random matrices, finite-size…”
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Measure-valued Pólya urn processes
Published in Electronic journal of probability (01-01-2017)Get full text
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A sprouting tree model for random boolean functions
Published in Random structures & algorithms (01-12-2015)“…ABSTRACT We define a new probability distribution for Boolean functions of k variables. Consider the random Binary Search Tree of size n, and label its…”
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Characterising random partitions by random colouring
Published in Electronic communications in probability (01-01-2020)“…Let (X-1, X-2, ...) be a random partition of the unit interval [0, 1], i.e. X-i >= 0 and Sigma(i >= 1) X-i = 1, and let (epsilon(1), epsilon(2), ...) be i.i.d…”
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THE RELATION BETWEEN TREE SIZE COMPLEXITY AND PROBABILITY FOR BOOLEAN FUNCTIONS GENERATED BY UNIFORM RANDOM TREES
Published in Applicable analysis and discrete mathematics (01-10-2016)“…An associative Boolean tree is a plane rooted tree whose internal nodes are labelled by AND or OR and whose leaves are labelled by literals taken from a fixed…”
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Multiple drawing multi-colour urns by stochastic approximation
Published in Journal of applied probability (01-03-2018)“…A classical Pólya urn scheme is a Markov process where the evolution is encoded by a replacement matrix (Ri, j)1 ≤ i, j ≤ d. At every discrete time-step, we…”
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Stochastic approximation on non-compact measure spaces and application to measure-valued P\'olya processes
Published in The Annals of applied probability (01-09-2020)“…Our main result is to prove almost-sure convergence of a stochastic-approximation algorithm defined on the space of measures on a non-compact space. Our…”
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Journal Article