59 citations · 174 across the 9 of their papers we have counts for
10 papers
Early Warning Signals of Social Instabilities in Twitter Data
Vahid Shamsaddini, Henry Kirveslahti, Raphael Reinauer +3
The goal of this project is to create and study novel techniques to identify early warning signals for socially disruptive events, like riots, wars, or revolutions using only publi…
Persformer: A Transformer Architecture for Topological Machine Learning
Raphael Reinauer, Matteo Caorsi, Nicolas Berkouk
One of the main challenges of Topological Data Analysis (TDA) is to extract features from persistent diagrams directly usable by machine learning algorithms. Indeed, persistence di…
ICLR 2021 Challenge for Computational Geometry & Topology: Design and Results
Nina Miolane, Matteo Caorsi, Umberto Lupo +30
This paper presents the computational challenge on differential geometry and topology that happened within the ICLR 2021 workshop "Geometric and Topological Representation Learning…
giotto-ph: A Python Library for High-Performance Computation of Persistent Homology of Vietoris-Rips Filtrations
Julián Burella Pérez, Sydney Hauke, Umberto Lupo +2
We introduce giotto-ph, a high-performance, open-source software package for the computation of Vietoris-Rips barcodes. giotto-ph is based on Morozov and Nigmetov's lockfree (multi…
giotto-tda: A Topological Data Analysis Toolkit for Machine Learning and Data Exploration
Guillaume Tauzin, Umberto Lupo, Lewis Tunstall +6
We introduce giotto-tda, a Python library that integrates high-performance topological data analysis with machine learning via a scikit-learn-compatible API and state-of-the-art C+…
Homological Classification of 4d QFT. Part I: Rank-1 revisited
Matteo Caorsi, Sergio Cecotti
Argyres and co-workers started a program to classify all 4d QFT by classifying Special Geometries with appropriate properties. They completed the program in rank-1.…
Special Arithmetic of Flavor
Matteo Caorsi, Sergio Cecotti
We revisit the classification of rank-1 4d QFTs in the spirit of Diophantine Geometry, viewing their special geometries as elliptic curves over the chiral ring (a D…
Geometric classification of 4d SCFTs
Matteo Caorsi, Sergio Cecotti
The classification of 4d SCFTs boils down to the classification of conical special geometries with closed Reeb orbits (CSG). Under mild assumptions, one shows that…
Categorical Webs and -duality in 4d QFT
Matteo Caorsi, Sergio Cecotti
We review the categorical approach to the BPS sector of a 4d QFT, clarifying many tricky issues and presenting a few novel results. To a given QFT o…
Homological S-Duality in 4d N=2 QFTs
Matteo Caorsi, Sergio Cecotti
The -duality group of a 4d supersymmetric theory is identified with the group of triangle auto-equivalences of its cluste…