Journal Paper (the
available pdf files are close to the published version)
- S. Le Corff and G. Fort. Convergence of a particle-based
approximation of the Block online Expectation Maximization
algorithm, Accepted in
Transactions on Modeling and Computer Simulation, 2012.
- G. Fort, E. Moulines, P. Priouret and P. Vandekerkhove. A
simple
variance inequality for U-statistics of a Markov
chain, with applications. Accepted
for publication, Stat. and Prob. Letters, 2012, arXiv
math.ST 1107-2576
- G. Fort, E. Moulines and P. Priouret. Convergence
of
adaptive
and interacting Markov chain Monte Carlo algorithms. Ann. Statist. 39(6):3262-3289, 2012.
- Y. Atchadé and G. Fort. Limit
theorems for some adaptive MCMC algorithms with
subgeometric kernels, part II. Accepted in Bernoulli 2011.
- M. Kilbinger, D. Wraith, C.
P. Robert, K.
Benabed, O. Cappé, J.F.Cardoso, G. Fort, S. Prunet, and
F.R.Bouchet. Bayesian model comparison in cosmology with Population
Monte Carlo. MNRAS 405(4):2381-2390, 2010. ArXiv
astro-ph.CO/0912.1614
- P. Etoré, G. Fort, B.
Jourdain and E. Moulines. On
adaptive
stratification. Annals
of Operations Research 189(1):127-154, 2011. ArXiv
math.PR/0809.1135
- Y. Atchadé and G.
Fort. Limit
theorems
for some adaptive MCMC algorithms with
subgeometric kernels.
Bernoulli 16(1):116-154, 2010. ArXiv
math.PR/0807.2952
- S. Connor and G. Fort. State-dependent
Foster-Lyapunov criteria for subgeometric convergence of Markov chains.
Stochastic Processes Appl. 119:4176-4193, 2009
ArXiv math.PR/0901.2453
- D. Wraith, M. Kilbinger, K.
Benabed, O. Cappé, J.F.Cardoso, G. Fort, S. Prunet and C.
P. Robert. Estimation
of
cosmological parameters using adaptive
importance sampling. Phys.Rev.
D. 80(2), 2009. ArXiv stat.CO/0903.0837
- R.
Douc, G. Fort, E. Moulines and
P. Priouret. Forgetting
of
the initial distribution for Hidden Markov
Models. Stoch.
Process Appl, 119(4): 1235-1256, 2009. ArXiv
math.ST/0703836
- R. Douc, G. Fort
and A. Guillin. Subgeometric
rates
of
convergence of f-ergodic strong Markov processes. Stoch.
Process Appl, 119(3):897-923, 2009. ArXiv math.ST/0605791
- G.
Fort,
S. Meyn, E.
Moulines and P.
Priouret. The
ODE
method for the stability of skip-free Markov Chains
with
applications to MCMC. Ann. Appl. Probab. 18(2) :664-707, 2008.
- F. Forbes and G. Fort. A
convergence theorem for
Variational
EM-like algorithms : application to image segmentation. IEEE
Transactions on Image Processing, 16(3):824-837,2007
MATLAB Codes
- G. Fort, S. Lambert-Lacroix,
J. Peyre. Réduction
de
dimension
dans les modèles généralisés
: Application à la classification de données issues des
biopuces. Journal de la SFDS, 146(1-2):117-152,2005. Matlab codes
and Data set. Erratum
on the research report TR0471
- G. Fort and S.
Lambert-Lacroix. Classification
using
Partial
Least
Squares with Penalized Logistic Regression. Bioinformatics, 21(7):1104-1111,
2005. Matlab codes
and Data set.
- G. Fort and G. O. Roberts. Subgeometric
ergodicity
of strong Markov processes. Ann. Appl. Probab. 15(2):1565-1589, 2005.
- R. Douc, G. Fort, E. Moulines
and P. Soulier. Practical
drift
conditions
for subgeometric rates of convergence. Ann. Appl. Probab. 14(3) :1353-1377, 2004.
- G. Fort, E. Moulines, G.O.
Roberts and J.S.
Rosenthal. On
the
geometric ergodicity of hybrid samplers. J.
Appl. Probab. 40(1):123-146, 2003.
- G. Fort and E. Moulines. Polynomial
ergodicity
of Markov
transition kernels. Stochastic Processes Appl. 103(1):57-99,
2003.
- G. Fort and E. Moulines. Convergence
of
the Monte-Carlo EM
for
curved exponential families. Ann. Stat.
31(4):1220-1259,
2003.
- G. Fort and E. Moulines.
V-subgeometric ergodicity for a
Hastings-Metropolis algorithm. Stat. Probab. Lett.
49(4):401-410,2000.
Chapters in books
- Y. Atchadé, G. Fort,
E. Moulines and P. Priouret. In D.
Barber, A. T. Cemgil and S. Chiappia, editors. Bayesian Time Series Models, Cambridge Univ. Press,
2011.
Chapter 2 : Adaptive
Markov chain Monte Carlo : Theory
and Methods, 33-53.
- G. Fort, E. Moulines and P.
Soulier. In O. Cappe, E.
Moulines and
T. Ryden, editors. Inference in
Hidden Markov Models, Springer 2005. Chapter 14: Elements
of
Markov Chain Theory, 511-562.
Conference Proceedings
- R. Bardenet, O. Cappé, G. Fort and B. Kegl. Adaptive
Metropolis with online relabeling. (Supplementary
paper). JMLR Workshop and
Conference Proceedings Vol 22, p.91-99, AISTATS 2012
- S. Le Corff, G. Fort and E. Moulines. New
Online-EM
algorithms for general Hidden Markov models. Application to the SLAM,LVA-ICA 2012, Springer
pages131--138.
- P. Bianchi, G. Fort, W. Hachem and J. Jakubowicz. Performance
Analysis
of a Distributed On-Line Estimator for Sensor Networks, 2011. Accepted, EUSIPCO 2011.
- S. Le Corff, G. Fort and E. Moulines. Un
algorithme
EM
récursif pour le SLAM, 2011. Accepted,
GRETSI 2011.
- P. Bianchi, G. Fort, W. Hachem and J. Jakubowicz. Sur
un
algorithme de Robbins-Monro distribué, 2011. Accepted, GRETSI 2011.
- S. Le Corff, G. Fort and E. Moulines.
Online
Expectation-Maximization
algorithm to solve the SLAM problem, 2011. Accepted, SSP 2011.
- S. Le Corff and G. Fort. Block Online EM for Hidden Markov
Models with general state space, 2011. Accepted, ASMDA 2011.
- P. Bianchi, G. Fort, W. Hachem and J. Jakubowicz. Convergence
of
a distributed parameter estimator for sensor network with local
averaging of the estimates. Accepted, ICASSP 2011.
- G. Fort, S. Meyn, E. Moulines and P.
Priouret.
ODE
methods for Markov chain stability with applications to MCMC.
Proceedings of the 1st International Conference on Performance
Evaluation Methodologies and Tools, Valuetools, Art. 42, 2006.
- G. Fort and S.
Lambert-Lacroix. Ridge-Partial
Least
Squares for Generalized Linear
Models with binary response. COMPSTAT'04, Proceedings in Computational Statistics,
pages
1019-1026, 2004.
- G. Fort and E.
Moulines, and P. Soulier. On the convergence of iterated random maps
with applications to the MCEM algorithm. Computational Statistics,
August,
1998.
- G. Fort, O. Cappé, E. Moulines, and P.
Soulier.
Optimization via simulation for maximum likelihood estimation in
incomplete
data models. In Proc. IEEE Workshop on Stat. Signal and Array Proc.,
pages
80-83, 1998.
Technical Report
- G. Fort. Central
Limit Theorems for stochastic approximation algorithms. March 2012
- P. Bianchi, G. Fort and W. Hachem. Performance of a
Distributed Stochastic Approximation Algorithm, Submitted, March 2012.
- A. Schreck, G. Fort and E. Moulines. Adaptive
Equi-energy
sampler : convergence and illustration. Submitted, October 2011. Revised in March 2012.
- S. Le Corff and G. Fort. Online Expectation
Maximization-based algorithms for inference in Hidden Markov Models. Submitted, August 2011, arXiv
math.ST 1108-3968. Supplement paper, math.ST
1108-4130. Revised in Jan 2012
- G. Fort, E. Moulines, P. Priouret and P. Vandekerkhove. A
Central
Limit Theorem for Adaptive and Interacting Markov Chains. Submitted, July 2011,
arXiv math.ST 1107-2574 Supplement
paper Revised in Nov
2011.
- G. Fort. Fluid
limit-based
tuning of some hybrid MCMC samplers. Dec 2007.
- C. Andrieu and G. Fort. Explicit
control
of subgeometric
ergodicity. Rapport de Recherche, 05:17, 2005.
- G. Fort. Partial
Least
Squares for classification and
feature
selection in Microarray gene expression data. Dec. 2004.
- G. Fort. Computable
bounds
for
V-geometric ergodicity of
Markov
transition kernels. Rapport de Recherche, Univ. J. Fourier, RR
1047-M.
Works in progress
- with A. Schreck, A. Garivier, E. Moulines and M. Vihola -
about interacting and tempering Monte Carlo algorithms.
- with B. Miazojedow - about interacting methods for
Particle filtering.
- with R. Bardenet, O.Cappé, B. Kegl - about a new
MCMC sampler robust to
the label-switching problem, with applications to statistical signal
processing of Auger experiments.
- with B. Jourdain, T. Lelièvre, G. Stoltz -
about theoretical properties of Wang-Landau types
algorithms.
PhD Thesis and HDR
- G. Fort. Habilitation à Diriger les Recherches "Méthodes
de
Monte Carlo et
Chaînes de Markov pour la simulation". Univ. Paris
Dauphine, Feb. 2010. (website)
- G. Fort. PhD thesis. "Contrôle
explicite d'ergodicité de chaînes de Markov : application
à l'analyse de convergence de l'algorithme Monte Carlo EM".
Univ.
Paris VI, June 2001. Inist Number : T139824