Research & Publications

                                      Some of my current projects

• I am the Mathematical Head of Project "PIANICA"  

Other Partners: IDP and LIFO (Laboratoire d’Informatique d'Orléans) & Service Neurologie, CHRO.

• I am the Mathematical Head of Project "COUNIRS"  

Other Partners:  IDP & STAPS & Service Neurologie, CHRO

• I am  Member of the ANR Project BACKUP (starting in 2024), coordinated by I. Castillo 

• I am  Member of the ANR Project AI.iO "Artificial Intelligence in Orléans".  

Partners: BRGM, LIFO, PRISME, IDP.

• I am  Member of the ANR Project MIMOSA "Machine learning and Multimodal Imaging for knee OSteoArthritis prediction". Partners: I3MTO, MEDIMAPS, IDP.

• I was an Associate Member of the ANR Project "Méthodes bayésiennes non paramétriques pour le traitement du signal et de l’image".  

Other Partners:   Lille, Bordeaux, Toulouse, Paris, Oxford, CEA                                                     

                                                                                              A part of our research

 With some of my colloborators, we have been working on the development of statistical Nonparametric Bayesian methods for reconstructing spatial (3D) and space-time (3D+t) Positron Emission Tomography (PET) images.

PET is a medical imaging technique used to visualize functional processes in the body (here, in the brain).

                            We are, we are Bayesians!

                               Publications list

Papers in progress

1. M.D. Fall  et al.,  "A Dependent Nonparametric Model for Spatio-Temporal (4D) Emission Tomography Reconstruction", 

2. M.D. Fall, N. Dobigeon et al., "An efficient Model for VLSM Analysis", in preparation.

3. M.D. Fall and É. Barat, "A New Approach to Mixtures of Polya Trees. Application in Density Estimation", in preparation.

4. M.D. Fall , É. Barat, C. Comtat, T. Dautremer, T. Montagu and S. Stute, "Hierarchical Nonparametric Bayesian Modeling. Application to clinical 3D/4D PET Data Reconstruction", in preparation.

Peer reviewed papers 

1. E.C. Faye, M.D. Fall and N.Dobigeon, "Regularization by denoising: Bayesian model and Langevin-within-split Gibbs sampling",  Submitted. [Paper]

2. E.C. Faye, M.D. Fall and N.Dobigeon, "Regularization by denoising: Bayesian model and Langevin-within-split Gibbs sampling - Supplementary materials", Submitted [Paper]. 

3. M.D. Fall, "Quantifying uncertainty in knee OsteoArthritis diagnosis", Accepted to IEEE Int. Symp.  On Biomedical Imaging (ISBI) 2024 [Paper].

4. E.C. Faye, M.D. Fall  A. Chetouani and N.Dobigeon, "Bayesian formulation of regularization by denoising –Model and Monte Carlo sampling", Submitted [Paper].

5. T. Simonnet, S. Grangeon, F. Claret, N. Maubec, M.D. Fall, R. Harba and B. Galerne "Phase Quantification Using Deep Neural Network Processing of XRD patterns", Submitted [Paper].

6. T. Simonnet, M.D. Fall, B. Galerne, F. Claret and S. Grangeon, "Proportion inference using Deep Neural Networks. Applications to X-ray diffraction and hyperspectral imaging."   Proc. European Signal Processing Conf. (EUSIPCO), Sept 2023 [Paper].

7. M.D. Fall, N. Dobigeon, P. Auzou, "A Bayesian estimation formulation to Voxel-Based Lesion Symptom Mapping",  Proc. European Signal Processing Conf. (EUSIPCO), Belgrade, Serbia, Sept. 2022.  [Paper].

8. M.D. Fall, N. Dobigeon, P. Auzou, "Approche bayésienne à l'estimation de la zone du langage chez des patients ayant eu un AVC", 2021  [Article].

9. M.D. Fall, "Bayesian Nonparametrics and Biostatistics", International Journal of Biostatistics, published, 2019 [Paper].

10. M.D. Fall & P. Auzou,  "Quand Bayes rencontre le langage...",published, [Article].

11. M.D. Fall, E. Lavau and P. Auzou, "Voxel-Based Lesion-Symptom Mapping: a Nonparametric Bayesian Approach", 2018, published, [Paper].

12. M.D. Fall and É. Barat, "Gibbs sampling methods for Pitman-Yor Mixture Models",  first submission in 2012, [V1], revised in 2014 [V2].

13. M.D. Fall et al., "A Bayesian Nonparametric Model for 3D Positron Emission Tomography Reconstruction", revised for Bayesian Analysis, 2011 (first submission), 2012 (revision). [Paper]

14. M.D. Fall , É. Barat, C. Comtat, T. Dautremer, T. Montagu and S. Stute, "Dynamic and clinical PET data reconstruction: a Nonparametric Bayesian approach",  Proceedings of IEEE International Conference on Image Processing (ICIP), 2013. [Paper]

15. M.D. Fall , É. Barat, C. Comtat, T. Dautremer, T. Montagu and S. Stute, "Une approche bayésienne non paramétrique à la reconstruction d’images spatiales 3D en TEP clinique",  actes du colloque GRETSI, Traitement du signal et des images, 2013 [Paper].

16. M.D. Fall , É. Barat, C. Comtat, T. Dautremer, T. Montagu and S. Stute, "Continuous space-time reconstruction in 4D PET", Proceedings of IEEE Nuclear Science Symposium and Medical Imaging Conference (NSS-MIC), pp 2581–2586, 2011. [Paper]

17.  M.D. Fall, É. Barat, C. Comtat, T. Dautremer, T. Montagu and A. Mohammad-Djafari, "A discrete-continuous Bayesian model for Emission Tomography", Proceedings of IEEE International Conference on Image Processing (ICIP), pp 1373–1376, 2011. [Paper] 

18. M.D. Fall, É. Barat, C. Comtat, T. Dautremer, T. Montagu and A. Mohammad-Djafari, " Reconstruction bayésienne non paramé-trique en tomographie par émission de positons", Actes du 23ème colloque GRETSI, Traitement du signal et des images, 2011. [Paper]

19. M.D. Fall, É. Barat, A. Mohammad-Djafari and  C. Comtat, "Spatial emission tomography reconstruction using Pitman-Yor process", Proceedings of the 29th International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering, vol 1193 no 1, pp 194–201, AIP, 2009.

20. É. Barat , C. Comtat, T. Dautremer, T.  Montagu, M.D. Fall, A. Mohammad-Djafari A., and R. Trébossen, "Nonparametric Bayesian Spatial reconstruction for Positron Emission Tomography", Proceedings of IEEE International meeting on fully three-dimensional image reconstruction in radiology and nuclear medecine, 2009.

My Technical reports

1. M.D. Fall  "A Note on Markov Random Field", Research report, Preprint coming soon.

2. M.D. Fall  "The Polya Tree process : basic properties and new ideas", Research report, Preprint coming soon.

3. M.D. Fall and É. Barat,  "Sampling the two-parameter Poisson-Dirichlet distribution: state of the art and a new method", Research report, CEA-LM2S, Mar. 2011. [Paper]

4. M.D. Fall, "Stochastic modelling of pharmaco-kinetic processes, applied to space-time Positron Emission Tomography (PET) reconstruction", Digiteo scientific project report, Oct. 2010.

5. M.D. Fall, "Correction de la réflexion du soleil sur les images MERIS", Master's thesis, Laboratoire d’Océanographie et du Climat : Expérimentations et Approches Numériques (Université Paris 6) et Maison de Recherche en Environnement Naturel (Wimereux), 28 pages, Sept. 2007.

6. M.D. Fall, "Exploration des données de la campagne océanographique Drake par cartes topologiques", Master's thesis, Laboratoire d’Océanographie et du Climat : Expérimentations et Approches Numériques (Université Paris 6), Mars. 2007.

7. M.D. Fall,  "Méthode de Galerkin appliquée à la résolution d’équations aux dérivées Partielles (EDP) linéaires et non linéaires, Master's thesis, Laboratoire Amiénois de Mathématiques Fondamentales et Appliquées (Université de Picardie Jules Verne, Amiens), Jun. 2006 [Manuscript].

My PHD Thesis

 M.D. Fall , "Modélisation stochastique de processus pharmaco-cinétiques, application à la reconstruction tomographique par émission de positrons (TEP) spatio-temporelle)", PH.D. Dissertation, Université Paris Sud, Mar. 2012.  [Slides]   [Manuscript].

    Referees reports:   Judith Rousseau, Professor, Université Paris Dauphine and ENSAE. [Report]

                                              Michel Defrise, Professor, Université Libre de Bruxelles.  [Report]

Refereed abstracts in conference proceedings

1. M.D. Fall and É. Barat, "A New Mixture Model of Polya Trees", Accepted for presentation, 9th Conference on Bayesian Nonparametrics, Amsterdam, Jun. 2013.

2. M.D. Fall and É. Barat, "A New Sampling Method for Pitman-Yor Mixture Models", 8th Workshop on Bayesian Nonparametrics, Veracruz, Mexico, Jun. 2011. [Abstracts book]

3. É. Barat and M.D. Fall, "Bayesian Nonparametric Modelling in Space-Time Emission Tomography", 8th Workshop on Bayesian Nonparametrics, Veracruz, Mexico, Jun. 2011, [Abstracts book].

4. M.D. Fall et al., "Bayesian Nonparametric Modeling in Space-Time Emission Tomography", 9th Valencia International Meeting on Bayesian Statistics, Benidorm, Spain, Jun. 2010.

5. É. Barat, M.D. Fall et al. "Pitman-Yor Mixtures Prior for Nonparametric Spatial Emission Tomography", 7th workshop of Bayesian Nonparametrics, Turin, Italy, Jun. 2009. [Abstracts book]

My Talks and Seminars

My invited Talks

1. Invited Talk, "Introduction to Bayesian Nonparametrics and their applications",  22 Jul 2021, Semaine des jeunes de l'IDP, Nouan Le Fuzelier, France.

2. Talk, "Bayesian estimation to language modelling", 52èmes journées de Statistique, Nice, 09 Jun 2021.

3. Invited Talk "Dependent stochastic processes and applications", Dec 2019, ERCIM, London, UK.

4. Invited Talk on "BNP Hypothesis Testing", L2S, CentraleSupélec, 18 Oct. 2019, Gif-sur-Yvette.

5. Invited Talk on "Bayesian Nonparametric modelling and medical imaging", LMB, 14 Oct. 2019, Besançon.

6. Invited Talk at CFIES, 26 Sept 2019, Strasbourg.


7. Invited Talk "Bayesian approaches for inverse problems in imaging",  École d'été en Statistique et Sciences des Données, Jul. 2019, AIMS Mbour Sénégal.

8. Invited Talk "Mathematics through images", Congrès Maths en Jeans, 30 Mar 2019, Rennes.

9. Invited Talk "Gender equality",Maths sous tous les angles Logis du Roy, 14 Mar 2019, Amiens.

10. Invited Talk "Image Analysis", University of Mayotte, 20 Fev. 2019, Dembeni.

11. Invited Talk, "Polya trees and applications", Laboratoire de Mathématiques Appliquées de Compiègne, 23 Oct 2018, Université Technologique de Compiègne.

12. Invited Talk, "Bayesian Hypothesis Testing", Laboratoire de Mathématique de Versailles,  27 Nov. 2018, Versailles.

13. Talk, "Quand Bayes rencontre le langage", 50èmes journées de Statistique, EDF Paris Saclay, 31 May 2018.

14. Presentation, "Voxel-Based Lesion-Symptom Mapping: a Nonparametric Bayesian Approach", IEEE ICASSP, Calgary, Canada, 20 April 2018.

15. Invited talk, "Statistical study of cerebral data from stroke patients", ANR BNPSI Centrale Lille, 12 June 2017.

16. Invited talk at Rencontres APSA, "Statistics in Medicine", Paris, 2 Dec. 2016.

17. Invited talk at AWMA West Africa regional, "Using statistics in real life", AIMS Senegal, 9 July 2016.

18. Invited talk, "Reconstruction d'images dynamiques", University of Poitiers, 12 May 2016.

19. Invited talk "Reconstruction TEP spatio-temporelle par approche bayésienne non paramétrique", Université Libre de Bruxelles, Belgium, 21 May 2015.

20. Invited talk "Méthodes bayésiennes pour la reconstruction d'images TEP", Colloque Recherche "From bench to bedside", Centre Hospitalier Régional d'Orléans, France, 12 Jan. 2015.

21. Invited talk "A Bayesian Nonparametric approach to reconstruction of dynamic and clinical PET data",  7th ERCIM International Conference on Computational and Methodological Statistics, Pisa, Italy, 6-8 December 2014. 

22. Tutorial talk "Nonparametric Bayesian inference for PET reconstruction", 6th school of the Society for Imprecise Probability: Theories and Applications, Montpellier, France, 21-25 July 2014.

23. Talk titled "A Nonparametric Bayesian approach to PET reconstruction", Journée Fédération Denis Poisson, Orléans, Dec 2013.

24. Talk titled "Une approche bayésienne non paramétrique à la reconstruction d’images spatiales 3D en TEP clinique",  Brest, France, Sept 2013.

25. Talk titled "BNP method for medical imaging reconstruction", Séminaire de Statistique, AgroParisTEch, May 2013.

26. Talk titled "3D/4D Image reconstruction in PET", Séminaire, Université technologique de Troyes, May 2013.

27. Talk titled "Modeling with Bayesian Nonparametrics. Application to emission tomography reconstruction." Séminaire, Équipes Traitement de l'information, ETIS-ENSEA Cergy, Mar. 2013.

28. Talk on Bayesian Nonparametric modeling for 4D PET, Séminaire de Statistique, Université Paris Dauphine, Mar. 2013.

29. Talk titled "Sampling the Dirichlet Process Mixture model",  GDR ISIS, Workshop on Bayesian Nonparametric methods for signal and image processing, Telecom ParisTech, Paris, Sept. 2012. [Slides]

30. Talk titled "Bayesian Nonparametrics for indirect density estimation : An example in PET imaging", Workshop on Bayesian Statistics organized by CIMPA-UCAD-IRD, Université Cheikh Anta Diop, Dakar, Sénégal, Feb. 2011. [Slides]

31. Talk titled  "Inférence bayésienne non paramétrique pour la reconstruction d’images 3D en TEP", GDR ISIS, Méthodes de Monte Carlo pour les problèmes inverses bayésiens en traitement des signaux et des images, Telecom ParisTech, Paris, Nov. 2011.

32. Talk titled "Reconstruction bayésienne non paramétrique d’images dynamiques en TEP", Réunion du groupe Quantification en Imagerie Moléculaire Nucléaire, CHU Pitié-Salpêtrière, Paris, Jan. 2011

33. Talk titled "Spatial emission tomography reconstruction using Pitman-Yor process", University of Oxford, USA, July 2009.

34. "Mélange par processus de Dirichlet, application à la reconstruction d’images TEP", séminaire du groupe Probabilités et théorie ergodique, Laboratoire de Mathématiques, Université de Picardie Jules Verne, Amiens, Mar. 2009.

35. Talk titled "Une approche bayésienne non paramétrique pour la reconstruction tomographique", Journée Méthodes probabilistes pour l’imagerie, Laboratoire de Mathématiques, Paul Painlevé, Université Lille1, Lille, Nov. 2008.

My Talks at local seminars

1.  Talk titled "A statistical Nonparametric Bayes approach for 3D/4D PET reconstruction", Séminaire de Statistique du MAP5, Mar; 2013.

2. Talk titled "Méthodes de reconstruction d’images en TEP", Seminar at GTTJD MAP5, Apr. 2012.

3. Talk titled "Reconstruction bayésienne nonparamétrique en tomographie par émission de positons (TEP)", Journée des Doctorants, DCSI CEA-Saclay, May. 2011.

4. Talk titled "Approche bayésienne non paramétrique en TEP spatio-temporelle", Seminar at LM2S CEA Saclay, Sept. 2010.

5. Talk titled "Reconstruction bayésienne non paramétrique en TEP spatio-temporelle", Seminar at SHFJ Orsay, Jun. 2010.

6. Talk titled "Reconstruction bayésienne non paramétrique en TEP", Seminar at GPI-L2S Supélec, Oct. 2009.

7. Talk titled "Modélisation stochastique de processus pharmaco-cinétiques, application à la reconstruction TEP spatio-temporelle", Journée des Doctorants, L2S Supélec, Mar. 2009.

8. Talk titled " Reconstruction tomographique spatio-temporelle, application à la tomographie par émission de positons (TEP)", Seminar at SHFJ Orsay, Fev. 2009.

9. Talk titled "Reconstruction d’image spatio-temporelle en tomographie par émission de positons (TEP)", Seminar at GPI-L2S Supélec, Jun. 2008.

Some posters

1. Poster titled "Etude du langage par la méthode VLSM, approches fréquentistes ou bayésiennes?, Colloque Recherche "From bench to bedside", Centre Hospitalier Régional d'Orléans, France, 23/10/17. [Poster]

2. Poster titled  "A new sampling method for Pitman-Yor Mixture Models", 8th Workshop on Bayesian Nonparametrics, Veracruz, Mexico, Jun. 2011. [Poster]

3. Poster titled "Bayesian Nonparametric Space-Time Reconstruction for Positron Emission Tomography (PET)", 3rd Digiteo Annual Forum, École Polytechnique, Palaiseau, Oct. 2010. [Poster]

4. Poster titled "Bayesian Nonparametric Modeling in Space-Time Emission Tomography", 9th Valencia International Meeting on Bayesian Statistics, Benidorm, Spain, Jun. 2010. [Poster]

5. Poster titled "Bayesian Nonparametric Modeling in Space-Time Emission Tomography", poster presentation, 30th International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering, Chamonix, France, Jul. 2010. [Poster]

Some events and schools I attended

1.  BASICS Workshop, Paris, 29-30 Sept 2022

2.  ISBA Word Meeting, June 25th - July 1st, Hotel Bonaventure, Montreal, Canada.

3. 150th anniversary of SMF , 16-18 Mar 2022, Paris.

4. Worksop on Bayesian Nonparametrics for Signal and Image processing, 2-4 July 2018, Bordeaux, France

5. 11th Conference on Bayesian Nonpametrics, 26-30 June 2017, ENS Paris.

6. AIMS-Senegal and SWMA Workshop on Financial and Actuarial Mathematics, July 11-15 2016,  Mbour, Senegal.

7. 5èmes Rencontres R, June 22-24, Toulouse.

8. 1er congrès de la Société Mathématique de France, June 6-10 2016, Tours

9. 5th Workshop on Symbolic Data Analysis (SDA 2015),  Nov 17-19 2015, Orléans, France. 

10. Colloque Gretsi, Sept 8-11, Lyon, France.

11. Workshop "Bayesian Nonparametrics in the North", July 6 2015, Lille, France.

12. 10th Conference on Bayesian Nonparametrics (BNP10), June 22-26 2015, Raleigh, NC, USA.

13. SUSTAIN Image processing workshop, "High-dimensional Stochastic Simulation and Optimisation in Image Processing", 27-29 August 2014, United Kingdom

14. Young European Statisticians Workshop (YES IV), Bayesian nonparametric Statistics, Eindhoven, The Netherlands,  Nov. 2010,

15. 10ème Forum des Jeunes Mathématiciennes, Thème "Analyse et Applications”, Centre International de Rencontres Mathématiques (CIRM), Luminy, France, Nov.2010.

16. 22ème édition du Colloque GRETSI, Traitement du signal et des images, Dijon, France, Sept 2009

My main collaborators (alphabetical order):

Pascal  AUZOU                       Neurologist, Centre Hospitalier Régional d'Orléans

 Eric  BARAT                             Research Engineer, CEA Saclay

Ismael  CASTILLO                 Professor, LPMA, Université Paris 6

Francis CLARET                    Research  Engineer, BRGM

Claude  COMTAT                Medical Physicist, Service Hospitalier Frédéric Joliot

Thomas  DAUTREMER      Research Engineer, CEA Saclay

Nicolas  DOBIGEON           Professor, Université de Toulouse    

Richard  EMILION               Professor Emeritus, Université d'Orléans         

Bruno  GALERNE                Professor, Université d'Orléans  

Sylvain GRANGEON         Research  Engineer, BRGM 

Thierry  MONTAGU           Research Engineer, CEA Saclay

Zacharie  NAULET              Postdoctoral  Fellow , University of Toronto

Titouan SIMONNET         PHD Student, Université d'Orléans

Simon   STUTE                         Research Engineer, Service Hospitalier Frédéric Joliot