Recursion at the crossroads of sequence modeling, random trees, stochastic algorithms and martingales
type: Distribution
access URL: https://theses.hal.science/tel-00954528
format: HTML
issued: 2026-05-06T04:14:47.408401
modified: 2026-05-06T04:14:47.328204

test_moissonnage_selune
type: Agent

Recursion at the crossroads of sequence modeling, random trees, stochastic algorithms and martingales
type: Dataset
contact point: Organization
  fn: CCSD
keyword: infoeu-reposemanticsother
keyword: dynamical-system
keyword: habilitation-a-diriger-des-recherches
keyword: algorithmes-de-gradient-stochastiques
keyword: trie-des-suffixes
keyword: lois-fortes-de-martingales-discretes
keyword: digital-search-trees
keyword: variable-length-markov-chain
keyword: modeles-auto-regressifs
keyword: estimation-and-prediction-error
keyword: stochastic-optimization
keyword: auto-regressive-models
keyword: statthstatistics-statstatistics-theory-statth
keyword: mathmath-stmathematics-mathstatistics-mathst
keyword: systeme-dynamique
keyword: erreur-destimation-et-de-prediction
keyword: occurrences-time
keyword: chaine-de-markov-a-memoire-variable
keyword: strong-laws-for-discrete-martingales
keyword: stochastic-gradient-algorithms
keyword: suffix-trie
keyword: optimisation-stochastique
keyword: arbres-digitaux-de-recherche
keyword: temps-doccurrences-de-motifs
keyword: mathmath-prmathematics-mathprobability-mathpr
landing page: https://theses.hal.science/tel-00954528
description: This monograph synthesizes several studies spanning from dynamical systems in the statistical analysis of sequences, to analysis of algorithms in random trees and discrete stochastic processes. These works find applications in various fields ranging from biological sequences to linear regression models, branching processes, through functional statistics and estimates of risk indicators for insurances. All the established results use, in one way or another, the recursive property of the structure under study, by highlighting invariants such as martingales, which are at the heart of this monograph, as tools as well as objects of study.
issued: 2026-05-06T04:14:47.368317
language: fr
modified: 2026-05-06T04:14:47.368321