Fabio Cuzzolin
Now Marie
-
Curie fellow with the
Perception project
INRIA Rhone
-
Alpes
Concour charg
é
s de recherche de 1
è
re
classe,
INRIA Rennes, May 2 2007
career path and mobility
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)
Ph.D. thesis on
belief functions and uncertainty theories (2001)
Researcher at the
Politecnico di Milano
with the Image and Sound
Processing group (2003
-
2004)
Post
-
doc at the
University of California at Los Angeles
, in the
UCLA Vision Lab (2004
-
2006)
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 PAMI
IEEE SMC
-
B
CVIU
Information Fusion
Int. 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 961
-
977, 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
0
10
20
0
10
0
5
10
15
20
25
30
35
40
45
0
10
20
30
0
5
10
5
10
15
20
25
30
35
40
45
50
0.08
0.06
0.04
0.02
0
0.02
0.
2
0.
1
0
0.
1
0.
2
0.15
0.
1
0.05
0
0.05
0.
1
0.06
0.04
0.02
0
0.02
0.04
0.06
0.08
0.
2
0.
1
0
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1
0.
2
0.
1
0.05
0
0.05
0.
1
0.15
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 10 2007
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 10 2007
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 Unit
é
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 961
-
977, April 2004.
•
Fabio Cuzzolin
,
Algebraic structure of the families of compatible frames of discernment
, Ann. Math. Artif. Intell. 45(1
-
2), pages 241
-
274, 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. 560
-
570, 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. 13
-
24, 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 2
nd
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 2
nd
International Symposium on Imprecise Probabilities and Their Applications (ISIPTA'01), Ithaca, NY, June 26
-
29, 2001
•
Fabio Cuzzolin
,
Lattice modularity and linear independence
, 18
th
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
an
d 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. 463
-
467, Asilomar Conference
Center in Paci¯c Grove, CA
•
Fabio Cuzzolin
,
Geometry of upper probabilities
, Proceedings of the 3
nd
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. 1733
-
1740 Per
ugia, 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. 881
-
884, 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. 2668
-
2673, 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. 395
-
398, Siena, Italy, 9/29
-
10/1 2004
•
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 Mell
on
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. 594
-
599, Ha
waii, USA
-
October 10
-
12, 2005
•
Fabio Cuzzolin
,
The geometry of relative plausibilities
, 11
th
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. 1701
-
1708, New York, June 18
-
22 2006
Under review
•
Fabio Cuzzolin
,
On the orthogonal projection of a belief function
, submitted to the 5
th
International Symposium on Imprecise Probabilities and Their Applications (ISIPTA'07), Prague, February 23 2007
•
Fabio Cuzzolin
,
On the properties of the intersection probability
, submitted to the International Conference on Uncertainty on Artificial Intelligence (UAI'07), Vancouver, March 2 2007
•
Fabio Cuzzolin
,
The convex geometry of consistent belief functions
, submitted to the International Conference on Uncertainty on Artificial Intelligence (UAI'07), Vancouver, March 2 2007
•
Fabio Cuzzolin
,
On the nature of independence in the theory of evidence
, submitted to the 5
th
International Symposium on Imprecise Probabilities and Their Applications (ISIPTA'07), Prague, March 4 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 10 2007
•
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 10 2007
•
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
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