Fabio Cuzzolin Now Marie-Curie fellow with the Perception project INRIA Rhone-Alpes Concour chargés de recherche de 1 ère classe, INRIA Rennes, May

career path and mobility gesture recognition Master’s thesis on gesture recognition at the University of Padova  Visiting student, ESSRL, Washington University in St. Louis, and at the University of California at Los Angeles (2000) belief functions and uncertainty theories (2001) Ph.D. thesis on belief functions and uncertainty theories (2001) Researcher at the Politecnico di Milano with the Image and Sound Processing group ( ) Post-doc at the University of California at Los Angeles, in the UCLA Vision Lab ( ) Marie Curie fellowship, INRIA Rhone-Alpes

collaborations with several groups scientific production/collaborations 13 single-name publications, + 9 first author, 3 single-name IEEE Transactions collaborations with journals: IEEE PAMIIEEE SMC-BCVIU Information FusionInt. J. Approximate Reasoning SIPTA Setubal Carnegie Mellon Pompeu Fabra EPFL-IDIAP UBoston currently 7 journal papers and 7 conference papers under review

an interdisciplinary record research Machine Learning  learning Riemannian metrics Discrete Mathematics  abstract independence (1+1pubs) Computer Vision  motion analysis (12+2 pubs)  gesture and action recognition  object pose estimation  data association  gait identification  bodypart segmentation Belief functions and Imprecise Probabilities  geometric approach to uncertainty theory (9+9 pubs)  algebraic analysis (3+1 pubs)

major contribution: unification of uncertainty theories  a number of formal descriptions of uncertainty have been proposed:  probabilities, possibilities, fuzzy sets, random sets, monotone capacities, inner measures  I formulated a geometric approach to uncertainty theories, which unifies additive and non-additive measures  how to arrange them in a single, unified framework?  Fabio Cuzzolin, “Geometry of Dempster's rule of combination”, IEEE Transactions on Systems, Man, and Cybernetics part B, 34(2), pages , April 2004  Fabio Cuzzolin, “Two new Bayesian approximations of belief functions based on convex geometry”, IEEE Transactions on Systems, Man, and Cybernetics part B, 37(4), August 2007  Fabio Cuzzolin, “A geometric approach to the theory of evidence”, IEEE Transactions on Systems, Man, and Cybernetics part C, 2007 (to appear)

P geometric approach uncertainty measures can be represented as points of a simplex! approximating belief functions with probabilities or fuzzy sets b P(b) P(b’) b’ b f p working with belief functions is working with convex sets of probs

another example: spectral matching central problem in vision (and not only): matching But then they map articulated bodies into a stable shape nonlinear embeddings (LLE,ISOMAP) map a dataset onto an embedding space while preserving local structure or geodesic distances

graph matching spectral matching they can then be used to match dense shapes by simply aligning their images after embedding!  Fabio Cuzzolin, Diana Mateus, Edmond Boyer, and Radu Horaud, “Robust spectral 3D-bodypart segmentation in time”, submitted to the International Conference on Computer Vision (ICCV 2007), Rio de Janeiro, April  Diana Mateus, Fabio Cuzzolin, Edmond Boyer, and Radu Horaud, “Articulated Shape Matching by Robust Alignment of Their Embedded Representations”, submitted to ICCV2007, Rio de Janeiro, 2007  Fabio Cuzzolin, “Learning Riemannian Metrics for Classification of Dynamical Models”, submitted to the International Conference on Computer Vision (ICCV 2007), Rio de Janeiro, April protein analysis motion capture bodypart segmentation

action recognition action segmentation A view of the future: an integrated multi-camera framework very promising direction in vision: multi-camera systems an integrated, hierarchical framework marker-less motion capture surveillance identity recognition multiple views 3D reconstruction unsupervised body-part segmentation image data fusion model fitting (stick-articulated)

Contributions to Vista and the Unité de Recherche on the methodologies: new expertise in fields like: non-Bayesian theories spectral methods discrete math sensor fusion under uncertainty on the problems: familiarity with applications like surveillance and identity recognition context-aware applications (event detection, gesture analysis) possible new directions: smart rooms, driver’s behavior networking: links with groups in computer vision, statistics, machine learning imprecise probabilities, graph theory

Bibliography Journal papers Fabio Cuzzolin, Geometry of Dempster's rule of combination, IEEE Transactions on Systems, Man, and Cybernetics part B, 34(2), pages , April Fabio Cuzzolin, Algebraic structure of the families of compatible frames of discernment, Ann. Math. Artif. Intell. 45(1-2), pages , 2005 Fabio Cuzzolin, Two new Bayesian approximations of belief functions based on convex geometry, IEEE Transactions on Systems, Man, and Cybernetics part B, 37(4), August 2007 Fabio Cuzzolin, A geometric approach to the theory of evidence, IEEE Transactions on Systems, Man, and Cybernetics part C, 2007 (to appear) Journals under review Fabio Cuzzolin, The geometry of consonant belief functions: simplicial complexes of possibility measures, Fuzzy Sets and Systems, August 2006 Fabio Cuzzolin, On the fiber bundle structure of the space of belief functions, Annals of Combinatorics, October 2006 Fabio Cuzzolin, Geometry and combinatorics of plausibility and commonality functions, International Journal of Uncertainty, Fuzziness, and Knowledge-Based Systems, December 2006 Fabio Cuzzolin, The discrete mathematics of consistent belief functions, Information Sciences, December 2006 Fabio Cuzzolin, Dual properties of relative belief of singletons, IEEE Trans. Fuzzy Systems, February 2007 Fabio Cuzzolin, On the properties of the intersection probability, Artificial Intelligence, March 2007 Fabio Cuzzolin, The geometry of the relative plausibility of singletons, Annals of Mathematics and Artificial Intelligence, April 2007 Refereed conference papers Andrea Sorrentino, Fabio Cuzzolin and Ruggero Frezza, Using hidden Markov models and dynamic size functions for gesture recognition, Proceedings of the 8th British Machine Vision Conference (BMVC97) (Adrian F. Clark,ed.), vol. 2, pp , 1997 Fabio Cuzzolin and Ruggero Frezza, An evidential reasoning framework for object tracking, SPIE – Photonics East 99 - Telemanipulator and Telepresence Technologies VI vol. 3840, pp , September 19-22, 1999 Fabio Cuzzolin and Ruggero Frezza, Integrating feature spaces for object tracking, Proceedings of MTNS2000, Perpignan, France, June 21-25, 2000 Fabio Cuzzolin, Families of compatible frames of discernment as semimodular lattices, International Conference of the Royal Statistical Society (RSS2000), Reading, September 12-15, 2000 Fabio Cuzzolin and Ruggero Frezza, Geometric analysis of belief space and conditional subspaces, Proceedings of the 2nd International Symposium on Imprecise Probabilities and Their Applications (ISIPTA'01), Ithaca, NY, June 26-29, 2001 Fabio Cuzzolin and Ruggero Frezza, Lattice structure of the families of compatible frames of discernment, Proceedings of the 2nd International Symposium on Imprecise Probabilities and Their Applications (ISIPTA'01), Ithaca, NY, June 26-29, 2001 Fabio Cuzzolin, Lattice modularity and linear independence, 18th British Combinatorial Conference (BCC'01), University of Sussex, Brighton, UK, July 1-6, 2001 Fabio Cuzzolin, Geometry of Dempster's rule, Special Session on Knowledge Representation under Vagueness and Uncertainty, 2002 International Conference on Fuzzy Systems and Knowledge Discovery (FSKD'02), Singapore, November 18-22, 2002 Giambattista Gennari, Alessandro Chiuso, Fabio Cuzzolin and Ruggero Frezza, Integrating shape and dynamic probabilistic models for data association and tracking, proceedings of the IEEE 2002 Conference on Decision and Control, The Venetian Hotel, Las Vegas, Nevada, December 10-13, 2002 Fabio Cuzzolin, Ruggero Frezza, Alessandro Bissacco and Stefano Soatto, Towards unsupervised detection of actions in clutter, Proceedings of the 2002 Asilomar Conference on Signals, Systems, and Computers, vol.1, pp , Asilomar Conference Center in Paci¯c Grove, CA Fabio Cuzzolin, Geometry of upper probabilities, Proceedings of the 3nd International Symposium on Imprecise Probabilities and Their Applications (ISIPTA'03), Lugano, Switzerland, July 14-17, 2003 Fabio Cuzzolin, Simplicial complexes of finite fuzzy sets, Proceedings of the International Conference on Information Processing and Management of Uncertainty IPMU'04, pp Perugia, Italy, July 4-9, 2004 Fabio Cuzzolin, Augusto Sarti and Stefano Tubaro Action modeling with volumetric data, Proceedings of the 2004 International Conference on Image Processing ICIP'04, vol. 2, pp , Singapore, October 24-27, 2004 Giambattista Gennari, Alessandro Chiuso, Fabio Cuzzolin and Ruggero Frezza Integration of shape constraints in data association filters, IEEE Conference on Decision and Control (CDC'04), vol.3, pp , Bahamas, December 14-17, 2004 Fabio Cuzzolin, Augusto Sarti and Stefano Tubaro Invariant action classification with volumetric data, International Workshop on Multimedia Signal Processing, pp , Siena, Italy, 9/29-10/ Fabio Cuzzolin and Ruggero Frezza, Evidential modeling for pose estimation, Proceedings of the 4th International Symposium on Imprecise Probabilities and Their Applications (ISIPTA'05), Carnegie Mellon University, Pittsburgh, 2005 Fabio Cuzzolin, On the properties of relative plausibilities, Proceedings of the International Conference of the IEEE Systems, Man, and Cybernetics Society (SMC'05), vol.1, pp , Hawaii, USA - October 10-12, 2005 Fabio Cuzzolin, The geometry of relative plausibilities, 11th International Conference on Information Processing and Management of Uncertainty IPMU'06, special session on \Fuzzy measures and integrals, capacities and games", Paris, July 2006 Fabio Cuzzolin, Using Bilinear Models for View-invariant Action and Identity Recognition, Proceedings of CVPR'06, pp , New York, June Under review Fabio Cuzzolin, On the orthogonal projection of a belief function, submitted to the 5th International Symposium on Imprecise Probabilities and Their Applications (ISIPTA'07), Prague, February Fabio Cuzzolin, On the properties of the intersection probability, submitted to the International Conference on Uncertainty on Artificial Intelligence (UAI'07), Vancouver, March Fabio Cuzzolin, The convex geometry of consistent belief functions, submitted to the International Conference on Uncertainty on Artificial Intelligence (UAI'07), Vancouver, March Fabio Cuzzolin, On the nature of independence in the theory of evidence, submitted to the 5th International Symposium on Imprecise Probabilities and Their Applications (ISIPTA'07), Prague, March Fabio Cuzzolin, Learning Riemannian Metrics for Classification of Dynamical Models, submitted to the International Conference on Computer Vision (ICCV 2007), Rio de Janeiro, April Fabio Cuzzolin, Diana Mateus, Edmond Boyer, and Radu Horaud, Robust spectral 3D-bodypart segmentation in time, submitted to the International Conference on Computer Vision (ICCV 2007), Rio de Janeiro, April Diana Mateus, Fabio Cuzzolin, Edmond Boyer, and Radu Horaud, Articulated Shape Matching by Robust Alignment of Their Embedded Representations, submitted to the International Conference on Computer Vision (ICCV2007), Rio de Janeiro, 2007