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SUMMARY:Nelder Fellow Lecture Series – Prof Pierre Del Moral: Advanced Mo
 nte Carlo methods
DESCRIPTION:This course will cover topics in the general area of Monte Carl
 o methods and their application domains. The topics include Markov chain M
 onte Carlo and Sequential Monte Carlo methods\, Genetic algorithms\, Quant
 um and Diffusion Monte Carlo techniques\, as well as branching and interac
 ting particle methodologies. The lectures cover discrete and continuous ti
 me stochastic models\, starting from traditional sampling techniques (perf
 ect simulation\, Metropolis-Hasting\, and Gibbs-Glauber models) to more re
 fined methodologies such as self interacting and mean field type Interacti
 ng Particle Systems methodologies. To name a few\, forward/backward partic
 le filters\, Ensemble Kalman filers\, interacting Kalman filters\, Sequent
 ial Monte Carlo\, genealogical tree based samplers\, particle Gibbs and pa
 rticle Metropolis-Hastings\, interacting Metropolis-Hastings\, multiple-le
 vel splitting\, and many others.\nThe course offers a pedagogical introduc
 tion to the theoretical foundations of these advanced stochastic models\, 
 combined with a series of concrete illustrations taken from different appl
 ication domains. The applications considered in these lectures will range 
 from Bayesian statistical learning (hidden Markov chain\, statistical mach
 ine learning)\, risk analysis and rare event sampling (mathematical financ
 e\, and industrial risk assessment)\, operation research (global optimizat
 ion\, combinatorial counting and ranking)\, advanced signal processing (st
 ochastic nonlinear filtering and control and data association)\, computati
 onal and statistical physics (Feynman-Kac formulae on path spaces\, molecu
 lar dynamics\, Schrodinger’s ground states\, Boltzmann-Gibbs distributio
 ns\, and free energy computation). Some textbooks which can be useful for 
 supplemental reading are: \n\n Stochastic Processes: From Applications to
  Theory. P. Del Moral\, & S. Penev Chapman and Hall/CRC (2016).\nMean fiel
 d simulation for Monte Carlo integration. P. Del Moral. Chapman & Hall/CRC
  Monographs on Statistics & Applied Probability (2013).\n Feynman-Kac for
 mulae. Genealogical and interacting particle approximations. P. Del Moral.
  Springer New York. Series: Probability and Applications (2004).\nBranchin
 g and Interacting Particle Systems Approximations of Feynman-Kac Formulae.
 P. Del Moral & L. Miclo (2000). Seminaire de Probabilities\, Lecture Notes
  in Mathematics.\nFundamentals of Stochastic Filtering. A. Bain and D. Cri
 san. Springer\, Stochastic Modelling and Applied Probability\, Vol. 60 (20
 09).\nInference in Hidden Markov Models. O. Capp_e\, E. Moulines\, and T. 
 Ryden. Springer series in Statistics (2005).\nAn Introduction to Sequentia
 l Monte Carlo. N. Chopin \, O. Papaspiliopoulos\, Springe Series in Statis
 tics (2020).\n\nThe lectures will be held as below:\nWed 13 March 1pm-3pm\
 nWed 20 March 1pm-3pm\nThu 21 March 10am-12pm\nWed 27 March 1pm-3pm\n\nSho
 rt bio:\nSince 2007\, Pierre Del Moral is a Research Director (first class
  since 2011) at INRIA.\nIn 2014-2016\, he was Professor at the School of M
 athematics and Statistics of the University of New South Wales in Sydney\,
  Australia.\nIn 2011-2014\, he also joined the Applied Mathematical Center
  of the Polytechnique School in Paris as a Professor “charge de cours”
 . After a masters degree in pure mathematics in 1989 in the University Pau
 l Sabatier in Toulouse in the field of Cohomology\, Dynamical Systems\, Hy
 perbolic Geometry and Algebraic Geometry\, he joined the LAAS Automation a
 nd Control Institute of the C.N.R.S. (Centre National de la Recherche Scie
 ntifique). He obtained a PhD in 1994 in signal processing with one of the 
 first study on stochastic particle methods in nonlinear filtering and opti
 mal control problems. From 1992 to 1995\, he also served as a lecturer in 
 mathematics at the “Ecole Nationale Superieure de l’Aeronautique et de
  l’Espace”\, and as a research engineer in the company Steria-Digilog\
 , working on particle filters in tracking problems arising in radar and so
 nar signal processing problems.\nIn 1995\, he joined the C.N.R.S. as a jun
 ior research fellow in mathematics and physics at the Probability and Stat
 istical department of the University Paul Sabatier in Toulouse\, and he re
 ceived in 2002 the higher degree of research (H.D.R.) in Mathematics. In 2
 004\, he joined the Lab. J. A. Dieudonne of the University of Nice and Sop
 hia-Antipolis as a full Professor of Mathematics in the field of Probabili
 ty and stochastic processes. He has also been a visiting professor in the 
 russian academy of sciences as well as in several international universiti
 es\, including Beijing\, Cambridge\, Edmonton\, Erlangen\, La Havana\, Hel
 sinki\, Melbourne\, Montreal\, Moscow\, St Petersbourg\, Sydney\, Tokyo\, 
 Oxford\, Princeton\, Purdue\, and Wuhan University.\nPr. Del Moral is one 
 of the principal designers of the modern and the recently developing theor
 y on stochastic particle methods in nonlinear filtering\, numerical physic
 s\, engineering and information theory. He has published over 200 papers i
 n pure and applied probability journals\, and he is the author of the book
 s “Mean field simulation for Monte Carlo integration”\, Chapman and Ha
 ll/CRC Press\, monographs on Stats and Applied Probability (2013)\, and 
 “Feynman-Kac formulae. Genealogical and interacting particle approximati
 ons”\, Springer New York\, Series: Probability and Applications (2004). 
 His current research interests are : bayesian inference and nonlinear filt
 ering\, multiple targets tracking problems\, rare event analysis\, calibra
 tion and uncertainty propagations in numerical codes\, particle absorption
  models\, Monte Carlo methods\, stochastic algorithms\, branching processe
 s and interacting particle systems.\n 
URL:https://www.imperial.ac.uk/events/175277/nelder-fellow-lecture-series-p
 rof-pierre-del-moral-2/
DTSTART;TZID=Europe/London:20240320T130000
DTEND;TZID=Europe/London:20240320T140000
LOCATION:tbc\, Huxley Building\, South Kensington Campus\, Imperial College
  London\, London\, SW7 2AZ\, United Kingdom
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