Complex Simplex:
Topological and Network Data Science Workshop

October 14-15, 2019

Logo Polito Logo ISI

Network Science has been very successful in providing simplified statistical mechanical descriptions of large complex systems. Topology, in particular computational and applied topology, has found large use in computer graphics, robotics, biology and chemistry. This is due to its capacity to produce informative summaries of the global properties of a system starting from local information. Until recently, these two fields have had little interaction due to differing languages and domains of applications. However, recent efforts to highlight topological properties of statistical systems highlighted the need to enrich the binary interaction paradigm implicit in networks, promoting the objects under study to simplicial complexes, in order to capture higher order coordination patterns.

The aim of this workshop is to bring together leading experts in network science and computational topology to share their latest results and problems. The goal is to challenge theoreticians to understand and meet the key questions raised by domain-specific problems, and for specialists to explore which current theoretical challenges are of greatest and immediate importance for applications.

List of speakers

Mattia Bergomi, Champalimaud Research
Ginestra Bianconi, Queen Mary University
Patrizio Frosini, University of Bologna
Ulderico Fugacci, Polytechnic University of Torino

Dmitri Krioukov, Northeastern University
Vladimir Itskov, Pennsylvania State University
Claudia Landi, University of Modena and Reggio Emilia
Mason Porter, University of California, Los Angeles


Registration is free but required for logistical reasons. Invited speakers and visiting scholars are automatically registered. Please register at the link below.
Registrations are accepted until October 11, 2019 or the maximum number of participants is reached.

Registration page


We invite submissions for short communications to the workshop. Due to time constraints, we expect to be able to accomodate between 4 and 8 communications.
To contribute, please submit a one-page extended abstract (PDF file) to Submissions are accepted until September 29th, 2019 .

Location and program

The workshop will take place at the Department of Mathematical Sciences of Politenico di Torino on October 14th, and at ISI Foundation on October 15th.

Time Monday 14 Oct @ Politecnico di Torino Tuesday 15 Oct @ ISI Foundation
09:30 am Welcome and opening Opening
09:45 am Keynote - Patrizio FROSINI: Deep learning and Group equivariant (non-expansive) operators - Theory Keynote - Vladimir ITSKOV: Convex sensing and directed complexes
10:35 am Keynote - Ginestra BIANCONI: Emergent Hyperbolic Network Geometry and Dynamics Keynote - Dmitri KRIOUKOV: Power Loss with Power Laws
11:25 am Coffee break Coffee break
11:50 am Contributed: Tullia Padellini Contributed: Diego Alberici
12:10 pm Contributed: Alessandro de Gregorio Contributed: Marco Guerra
12:30 pm Lunch break Lunch break
02:45 pm Keynote - Claudia LANDI: Discrete Morse theory meets multiparameter persistence Keynote - Mattia BERGOMI: Deep learning and Group equivariant (non-expansive) operators – Practice
03:35 pm Keynote - Mason PORTER: Topological Data Analysis of Spatial Complex Systems  Keynote - Ulderico FUGACCI: Persistence-based Kernels for Data Classification
04:24 pm Coffee break Coffee break
04:50 pm Discussion session Discussion session
05:10 pm
5:30 pm Conclusion and evening logistics Conclusion