Name: Applications of Topological Data Analysis to Cosmology and Beyond
Start: 2023-06-05T09:00:00+02:00
End: 2023-06-09T16:00:00+02:00
Location: IFPU

Applications of Topological Data Analysis to Cosmology and Beyond

from Monday, June 5, 2023 (9:00 AM) to Friday, June 9, 2023 (4:00 PM)

Monday, June 5, 2023

9:30 AM Registration and Coffee
Registration and Coffee
9:30 AM - 10:00 AM
Room: 305
10:00 AM Introduction to Workshop - Matteo Biagetti (SISSA)
Introduction to Workshop
- Matteo Biagetti (SISSA)
10:00 AM - 10:15 AM
Room: 305
10:15 AM Persistent Homology of Cosmic Structures - Matteo Biagetti
Persistent Homology of Cosmic Structures
- Matteo Biagetti
10:15 AM - 11:00 AM
Room: 305
11:00 AM Information Maximizing Persistent Homology - Karthik Viswanathan
Information Maximizing Persistent Homology
- Karthik Viswanathan
11:00 AM - 12:00 PM
Room: 305
12:00 PM Hands-on collaboration and free time
Hands-on collaboration and free time
12:00 PM - 1:00 PM
Room: 305

1:00 PM Lunch @ICTP
Lunch @ICTP
1:00 PM - 2:00 PM
2:00 PM Unsupervised learning methods in quantum computers and simulators: why we do it and which methods have been used - Marcello Dalmonte
Unsupervised learning methods in quantum computers and simulators: why we do it and which methods have been used
- Marcello Dalmonte
2:00 PM - 3:00 PM
Room: 305
3:00 PM Hands-on collaboration and free time
Hands-on collaboration and free time
3:00 PM - 5:30 PM
Room: 305
Tuesday, June 6, 2023
9:30 AM Parameter inference using persistent homology - Sibilla Bouché
Parameter inference using persistent homology
- Sibilla Bouché
9:30 AM - 10:30 AM
Room: 305
10:30 AM Coffee Break
Coffee Break
10:30 AM - 11:00 AM
Room: 305

11:00 AM Hands-on collaboration and free time
Hands-on collaboration and free time
11:00 AM - 12:30 PM
Room: 305

12:30 PM Lunch @ ICTP
Lunch @ ICTP
12:30 PM - 2:00 PM
2:00 PM Quasars and/or dimensionality reduction - Gabriella Contardo
Quasars and/or dimensionality reduction
- Gabriella Contardo
2:00 PM - 3:00 PM
Room: 305
3:00 PM Our Attempts to Use Unsupervised Learning in Soft-Matter Physics - Ali Hassanali
Our Attempts to Use Unsupervised Learning in Soft-Matter Physics
- Ali Hassanali
3:00 PM - 4:00 PM
Room: 305
4:00 PM Hands-on collaboration and free time
Hands-on collaboration and free time
4:00 PM - 5:30 PM
Room: 305
Wednesday, June 7, 2023
9:30 AM An introduction to Topological Data Analysis - Mathieu Carrière
An introduction to Topological Data Analysis
- Mathieu Carrière
9:30 AM - 10:30 AM
Room: Fibonacci @ Galileo Topological Data Analysis (TDA) is a growing field of research at the intersection of data science and computational geometry and topology. It has encountered key successes in several different applications (ranging from cancer subtype identification in bioinformatics to shape recognition in computer vision, just to name a few), and become the landmark product of several companies in the recent years. Indeed, many data sets nowadays come in the form of point clouds embedded in very large dimensional spaces, yet concentrated around low-dimensional geometric structures that need to be uncovered. Unraveling these structures is precisely the goal of TDA, which can build descriptors that can reliably capture geometric and topological information (connectivity, loops, holes, curvature, etc.) from the data sets without the need for an explicit mapping to lower-dimensional space. This is extremely useful since the hidden, non-trivial topology of many data sets can make it very challenging to perform well for classical techniques in data science and machine learning, such as dimensionality reduction. In this talk, I will provide a global overview of TDA, by introducing its main descriptors and by presenting the theoretical guarantees that they enjoy. I will also show how they can be efficiently computed in practice with the dedicated, open-source library GUDHI, and describe some applications where TDA proved useful.
10:30 AM Coffee break @ ICTP bar
Coffee break @ ICTP bar
10:30 AM - 11:00 AM
Room: Bar
11:00 AM On the geometry of large transformers representations - Alberto Cazzaniga
On the geometry of large transformers representations
- Alberto Cazzaniga
11:00 AM - 12:00 PM
Room: Fibonacci @ Galileo
12:00 PM Barcodes for multiparameter persistence - Magnus Botnan
Barcodes for multiparameter persistence
- Magnus Botnan
12:00 PM - 1:00 PM
Room: Fibonacci @ Galileo Multiparameter persistence is a generalization of persistent homology that allows for more than a single filtration function. Such constructions arise naturally when considering data with outliers or variations in density, time-varying data, or functional data. In single-parameter persistence, the barcode is equivalent to the “rank invariant”: the function that associates the rank of the corresponding linear map to every pair of comparable points. However, nearly all of the tools developed in persistent homology are based on the barcode. This is because it is a concise and geometric descriptor that lends well to data analysis and visualization. Therefore, it is crucial, and perhaps imperative, to construct a generalized barcode to work with the rank-invariant for multiparameter persistence eﬃciently. Perhaps surprisingly, recent work has shown that if we allow the elements of the barcode to be signed intervals, then such a generalization is possible. I will discuss how one can use homological algebra to obtain a signed barcode in a stable manner. Furthermore, I will discuss how signed barcodes can be used in machine learning and report on recent computational results.
1:00 PM Lunch @ ICTP
Lunch @ ICTP
1:00 PM - 2:00 PM
2:00 PM What Every Physicist Should Know About String Theory - Edward Witten
What Every Physicist Should Know About String Theory
- Edward Witten
2:00 PM - 3:00 PM
Room: Budinich Lecture Hall This event is organized by ICTP.
3:00 PM Coffee Break
Coffee Break
3:00 PM - 4:00 PM
Room: bar
4:00 PM Machine learning you can trust for cosmology and astrophysics - Roberto Trotta
Machine learning you can trust for cosmology and astrophysics
- Roberto Trotta
4:00 PM - 5:00 PM
Room: 204
Thursday, June 8, 2023
9:30 AM Multiparameter persistence - Sliem El Ela
Multiparameter persistence
- Sliem El Ela
9:30 AM - 10:30 AM
Room: 305
10:30 AM Coffee Break
Coffee Break
10:30 AM - 11:00 AM
Room: 305

11:00 AM Hands-on collaboration and free time
Hands-on collaboration and free time
11:00 AM - 12:30 PM
Room: 305

12:30 PM Lunch
Lunch
12:30 PM - 2:00 PM

2:00 PM Graph-based algorithms
Graph-based algorithms
2:00 PM - 3:00 PM
Room: Remote
3:00 PM Inverse optimization - Sliem El Ela
Inverse optimization
- Sliem El Ela
3:00 PM - 3:30 PM
Room: 305
3:30 PM Hands-on collaboration and free time
Hands-on collaboration and free time
3:30 PM - 5:00 PM
Room: 305
Friday, June 9, 2023
9:30 AM Generative models for cosmological simulations - Mathieu Carrière
Generative models for cosmological simulations
- Mathieu Carrière
9:30 AM - 10:30 AM
Room: 305
10:30 AM Coffee Break
Coffee Break
10:30 AM - 11:00 AM
Room: 305

11:00 AM Hands-on collaboration and free time
Hands-on collaboration and free time
11:00 AM - 12:30 PM
Room: 305

12:30 PM Lunch
Lunch
12:30 PM - 2:00 PM

2:00 PM Closing remarks
Closing remarks
2:00 PM - 2:30 PM
Room: 305

Share this page

Direct link

Social networks

Calendaring