Branching and interacting particle systems approximations of feynman-kac formulae with applications to non-linear filtering

Genetic algorithms in search, optimization, and machine learning

1989 • 49,726 citations

Adaptation in natural and artificial systems

1975 • 36,178 citations

Novel approach to nonlinear/non-Gaussian Bayesian state estimation

1993 • 7,442 citations

Continuous Martingales and Brownian Motion

1999 • 6,391 citations

Markov Processes: Characterization and Convergence.

1987 • 4,826 citations

Limit Theorems for Stochastic Processes.

1988 • 4,355 citations

Large Deviations Techniques and Applications

2000 • 4,056 citations

Markov Processes

1986 • 3,182 citations

Heat Kernels and Spectral Theory

1989 • 2,554 citations

Trace Ideals and Their Applications

2010 • 2,252 citations

Monte Carlo Filter and Smoother for Non-Gaussian Nonlinear State Space Models

1996 • 2,128 citations

Weak Convergence and Empirical Processes: With Applications to Statistics

1996 • 2,118 citations

Multidimensional Diffusion Processes

1997 • 2,053 citations

Continuous Martingales and Brownian Motion

1991 • 1,960 citations

Probability with martingales

1992 • 1,628 citations

Mathematics and its applications

2005 • 1,578 citations

Probability with Martingales

1991 • 1,543 citations

Reducing bias and inefficiency in the selection algorithm

1987 • 1,378 citations

Limit Theorems for Stochastic Processes

1987 • 1,242 citations

Large deviations

1989 • 1,191 citations

Journal of Computational and Graphical Statistics

2014 • 918 citations

Theory of martingales

1989 • 770 citations

Probability Metrics and the Stability of Stochastic Models

1992 • 769 citations

Probability

1996 • 731 citations

The Simple Genetic Algorithm: Foundations and Theory

1999 • 721 citations

Measure-valued Markov processes

1993 • 620 citations

Weak Convergence

1996 • 570 citations

Sharper Bounds for Gaussian and Empirical Processes

1994 • 513 citations

The Simple Genetic Algorithm

1999 • 450 citations

An Introduction to the Theory of Large Deviations

1984 • 449 citations

Modeling genetic algorithms with Markov chains

1992 • 444 citations

Exact finite-dimensional filters for certain diffusions with nonlinear drift

1981 • 427 citations

Theory of Martingales

1989 • 417 citations

L'hypercontractivité et son utilisation en théorie des semigroupes

1994 • 388 citations

Stochastic differential equations for the non linear filtering problem

1972 • 380 citations

Conditional Markov Processes

1960 • 336 citations

Comptes Rendus de l'Académie des Sciences de Paris

1977 • 332 citations

Central Limit Theorem for Nonstationary Markov Chains. II

1956 • 316 citations

On genetic algorithms

1995 • 315 citations

Simple Genetic Algorithms and the Minimal, Deceptive Problem

1987 • 306 citations

Genetic algorithm solution to the economic dispatch problem

1994 • 305 citations

MARKOV PROCESSES Characterization and Convergence (Wiley Series in Probability and Mathematical Statistics)

1987 • 301 citations

Asymptotic behaviour of some interacting particle systems; McKean-Vlasov and Boltzmann models

1996 • 277 citations

Finite Markov chain analysis of genetic algorithms

1987 • 237 citations

Discretization and simulation of stochastic differential equations

1985 • 204 citations

Asymptotic behavior of the nonlinear filtering errors of Markov processes

1971 • 182 citations

Symmetric Statistics, Poisson Point Processes, and Multiple Wiener Integrals

1983 • 152 citations

Optimal nonlinear filtering in GPS/INS integration

1997 • 151 citations

Stochastic particle approximations for generalized Boltzmann models and convergence estimates

1997 • 148 citations

The Monte-Carlo method for filtering with discrete-time observations

2001 • 137 citations

Measure-valued processes and interacting particle systems. Application to nonlinear filtering problems

1998 • 130 citations

Asymptotic Stability of the Optimal Filter with Respect to Its Initial Condition

1996 • 127 citations

The Weighted Bootstrap

1995 • 116 citations

Exponential stability for nonlinear filtering

1997 • 112 citations

Efficient numerical schemes for the approximation of expectations of functionals of the solution of a S.D.E., and applications

2005 • 105 citations

Central limit theorem for a system of Markovian particles with mean field interactions

1985 • 103 citations

The Weighted Bootstrap

1995 • 102 citations

Laplace approximations for sums of independent random vectors

1986 • 89 citations

Central limit theorem for nonlinear filtering and interacting particle systems

1999 • 89 citations

Convergence of a Branching Particle Method to the Solution of the Zakai Equation

1998 • 83 citations

An analysis of reproduction and crossover in a binary-coded genetic algorithm

1987 • 79 citations

A fast-weighted Bayesian bootstrap filter for nonlinear model state estimation

1997 • 78 citations

Filtrage Non Lineaire Et Equations Aux Derivees Partielles Stochastiques Associees

1991 • 77 citations

Lyapunov Exponents for Finite State Nonlinear Filtering

1997 • 76 citations

A particle approximation of the solution of the Kushner–Stratonovitch equation

1999 • 74 citations

Nonlinear filtering and measure-valued processes

1997 • 63 citations

Nonlinear Filtering of One-Dimensional Diffusions in the Case of a High Signal-to-Noise Ratio

1986 • 61 citations

Exponential stability of discrete-time filters for bounded observation noise

1997 • 59 citations

On the Convergence and Applications of Generalized Simulated Annealing

1999 • 56 citations

Topics in Nonlinear Filtering Theory.

1980 • 55 citations

Central Limit Theorems

1997 • 53 citations

Stochastic Differential Equations Occurring in the Estimation of Continuous Parameter Stochastic Processes

1969 • 52 citations

An approximation for the nonlinear filtering problem, with error bound^†

1985 • 52 citations

On invariant measures of filtering processes

2006 • 46 citations

A Moran particle system approximation of Feynman–Kac formulae

2000 • 46 citations

Large deviations for interacting particle systems: Applications to non-linear filtering

1998 • 46 citations

On the stability of measure valued processes with applications to filtering

1999 • 46 citations

Spatial Stochastic Processes

1991 • 41 citations

Interacting Particle Filtering With Discrete Observations

2001 • 41 citations

Interacting particle systems approximations of the Kushner-Stratonovitch equation

1999 • 40 citations

Gibbs measures for mean field potentials

1984 • 36 citations

Approximation of nonlinear filtering problems and order of convergence

2005 • 36 citations

Genetic algorithms in electromagnetics

2002 • 35 citations

Methode de laplace: etude variationnelle des fluctuations de diffusions de type

1990 • 31 citations

Lectures on Discrete Time Filtering

1994 • 29 citations

Une théorie asymptotique des algorithmes génétiques

1994 • 29 citations

Mechanical inclusions identification by evolutionary computation

1996 • 26 citations

Genetic Algorithms for Automatic Regrouping of Air Traffic Control Sectors

1995 • 24 citations

A uniform convergence theorem for the numerical solving of the nonlinear filtering problem

1998 • 24 citations

Filtering for nonlinear systems driven by nonwhite noises:an approximation scheme

1993 • 22 citations

Some central limit theorems for ℓ∞-valued semimartingales and their applications

1997 • 20 citations

Algorithms for index tracking

1992 • 18 citations

Untitled

2000 • 18 citations

Invariant measures of the pair: state, approximate filtering process

1991 • 17 citations

New approach to filtering for nonlinear systems

1981 • 12 citations

Addendum: On Stochastic Equations in the Theory of Conditional Markov Processes

1967 • 11 citations

Large Deviations for Interacting Particle Systems

1999 • 11 citations

1 - Résolution particulaire et traitement non-linéaire du signal : applications RADAR/SONAR

1995 • 11 citations

Asymptotic ergodicity for the Zakai filtering equation.

1995 • 9 citations

Identification of Mechanical Inclusions

1997 • 9 citations

A uniform convergence theorem for the numerical solving of the nonlinear filtering problem

1998 • 6 citations

Modelization and filtering of discrete systems and discrete approximation of continuous systems

2005 • 5 citations

Monte-Carlo methods in nonlinear filtering and importance sampling

1984 • 2 citations

Deleted Work

1955 • 0 citations