SOME PERSISTENT IDEAS I AM INTERESTED IN
Some recent (and less recent) talks
International Workshop and Conference on Topology & Applications, Rajagiri School of Engineering & Technology, Kochi, Kerala, INDIA, December 5-11, 2018,
Some new results in 2D persistent homology . Please also download
this video illustrating the monodromy phenomenon in 2D persistent homology.
International Workshop and Conference on Topology & Applications, Rajagiri School of Engineering & Technology, Kochi, Kerala, INDIA, December 5-11, 2018,
The use of group equivariant non-expansive operators in
topological data analysis .
International Workshop and Conference on Topology & Applications, Rajagiri School of Engineering & Technology, Kochi, Kerala, INDIA, December 5-11, 2018,
The natural pseudo-distance in topological data analysis .
10th Conference on Geometric and Topological Methods in Computer Science (GETCO),
Oaxaca, Mexico, September 10-14, 2018,
The theory of group equivariant non-expansive operators in topological data analysis .
XXI BRAZILIAN TOPOLOGY MEETING,
Satellite conference of ICM 2018,
Universidade Federal Fluminense (Niterói, Rio de Janeiro, Brazil), August 12-18, 2018,
New advances in 2D sublevel set persistent homology
(video) .
Workshop on Homotopy Probability Theory,
Universität des Saarlandes (Saarbrücken, Germany), September 4-8, 2017,
Some advances in the application of group-invariant
persistent homology to topological data analysis .
Workshop on Homotopy Probability Theory,
Universität des Saarlandes (Saarbrücken, Germany), September 4-8, 2017,
An approach to topological data analysis via persistent
topology and invariant operators .
Mini course "Some new results in two-dimensional and group-invariant persistent homology", Ohio State University, April 3-7, 2017,
Lecture 3: Group-invariant persistent homology and its use for
topological data analysis
.
Mini course "Some new results in two-dimensional and group-invariant persistent homology", Ohio State University, April 3-7, 2017,
Lecture 2: The coherent matching distance in 2D persistent homology .
TGDA Seminar, Ohio State University, April 5, 2017,
A theoretical framework for topological data analysis .
Mini course "Some new results in two-dimensional and group-invariant persistent homology", Ohio State University, April 3-7, 2017,
Lecture 1: The phenomenon of monodromy in 2D persistent homology .
Computational Topology in Image Context,
Marseille, June 15-17, 2016,
The coherent matching distance in 2D persistent homology
(A more detailed version is available here ).
SIAM Conference on Imaging Science,
Geometry-based Models in Image Processing, Albuquerque, 24 May 2016,
Image comparison via group invariant non-expansive operators .
9th Eurographics Workshop on 3D Object Retrieval,
Lisbon, 8 May 2016,
Towards an observer-oriented theory of shape comparison .
Segunda Escuela/Conferencia de Análisis Topológico de Datos, Querétaro, December 7-11, 2015,
An observer-oriented approach to topological data analysis. Part 1: From comparing subsets of R^n to studying metric spaces of functions .
Segunda Escuela/Conferencia de Análisis Topológico de Datos, Querétaro, December 7-11, 2015,
An observer-oriented approach to topological data analysis. Part 2: The algebra of group invariant non-expansive operators and its application in the project GIPHOD - Group Invariant Persistent Homology Online Demonstrator .
Geometric and Topological Methods in Computer Science, Aalborg, April 7-10, 2015,
Geometric shape comparison via G-invariant non-expansive
operators and G-invariant persistent homology .
Homology: Theoretical and Computational Aspects, Genoa, February 9-13, 2015,
G-invariant persistent homology .
Applied and Computational Algebraic Topology, Bremen, July 15-19, 2013,
Adapting persistent homology to invariance groups .
ACA 2013 - Special Session on Computer algebra
in algebraic topology and its applications, Málaga, July 3, 2013,
Some advances in G-invariant persistent topology and homology .
Seminar on "Topics in Mathematics" - Ph.D. Program in Mathematics (University of Bologna), 11 April 2013,
A quick trip through geometrical shape comparison .
Seminar on Computational Mathematics, Institute of Computer Science,
Jagiellonian University, Kraków, Poland, 25 October 2012,
A general distance for geometrical shape comparison .
Fifth Workshop on
Non-Rigid Shape Analysis and Deformable Image Alignment (in conjunction with ECCV 2012), Florence, Italy, 7 October 2012,
A metric paradigm for geometrical shape comparison .
Mini-symposium on Applied and Computational Algebraic Topology, 6ECM, Kraków, Poland,
4 July 2012,
Metric shape comparison via multidimensional persistent homology .
Dagstuhl Seminar “Applications of Combinatorial Topology to Computer Science”,
LZI Schloss Dagstuhl, Germany,
18-23 March 2012,
Some research notes on
G-invariant Persistent Homology .
Workshop on Computational Topology, Fields Institute, Toronto,
7-11 November 2011,
Filtrations induced by continuous functions .
Applied Algebraic Topology, ETH Zürich,
4-8 July 2011,
Some new results
in multidimensional persistent homology .
Third International Conference on Scale Space and Variational
Methods in Computer Vision,
Ein Gedi Resort, Dead Sea, Israel,
29 May - 2 June 2011,
Counting components of multi-dimensional
sub-level sets for shape comparison .
Colloquium on Computer Graphics,
PRIP - Vienna University of Technology,
17 December 2010,
A metric approach to shape comparison via
multidimensional persistence .
Geometric and Topological Methods in Computer Science,
Aalborg University, January 11-15, 2010,
Multidimensional persistent topology as a
metric approach to shape comparison .
Gilles Fournier Memorial Conference on Classical
and Computational Topological Methods,
Université de Sherbrooke, Canada, September 22-24, 2006,
Shape comparison by multidimensional size functions .