Patrimony

The Louis Bachelier Group's patrimony has been defined as all the publications produced by academic researchers thanks to Group funding (ILB, FdR, IEF, Labex) or via the use of EquipEx data (BEDOFIH, EUROFIDAI).


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Some problems related to statistical error in stochastic homogenization.

Equations aux dérivées partielles, Homogenization, Homogénéisation, Inverse problem, Matériaux aléatoires, Monte Carlo methods, Méthodes de Monte Carlo, Partial differential equations, Problème inverse, Random materials, Réduction de variance, Variance reduction

Variational methods for tomographic reconstruction with few views.

Fractional order Hilbert, Inverse problem, Needlets, Optimal, Radon operator, Spaces, Tomographic reconstruction, Transport, Variational method

Variational Methods for Tomographic Reconstruction with Few Views.

Fractional order Hilbert, Inverse problem, Needlets, Optimal, Radon operator, Spaces, Tomographic reconstruction, Transport, Variational method

Individual and population approaches for calibrating division rates in population dynamics: Application to the bacterial cell cycle.

Adder model, Asymptotic behaviour, Bacterial growth, Cell division cycle, Eigenvalue problem, Gowth-fragmentation equation, Growth-fragmentation process, Incremental model, Inverse problem, Kernel density estimation, Long-term dynamics, Malthusian parameter, Nonparametric statistical inference, Renewal equation, Renewal process

Modeling and analysis of cell population dynamics : application to the early development of ovarian follicles.

Calibration de paramètres, Cell population dynamics, Comportement en temps long, Dynamique de populations cellulaires, First hitting time, Inverse problem, Long time behavior, Multi-type deterministic and stochastic renewal process, Parameter calibration, Premier temps d'atteinte, Problème inverse, Processus de renouvellement multi-Type stochastique et déterministe

Adaptive parameter selection for block wavelet-thresholding deconvolution.

Coloured noise, Deconvolution, Estimation parameters, Inverse problem, Signal reconstruction

Fokker-Planck equations with terminal condition and related McKean probabilistic representation.

35R30, 60H30, 60J60, And phrases Inverse problem, Fokker Planck equation, Fokker Planck equation 2020 AMS-classification 60H10, Inverse problem, McKean stochastic differential equation, Probabilistic represen- tation of PDEs, Probabilistic representation of PDEs, Time-reversed diffusion

Model Consistency of Partly Smooth Regularizers.

Convexity, Inverse problem, Low-rank, Partial smoothness, Sensitivity analysis, Sparsity

Statistical deconvolution of the free Fokker-Planck equation at fixed time.

Dyson Brownian motion, Fourier transform, Free deconvolution, Inverse problem, Kernel estimation, Mean integrated square error, PDE with random initial condition