inria cr1, 2007 - Oxford Brookes University

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
0.
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