1.6k citations · 1.7k across the 9 of their papers we have counts for
9 papers
The topology of synergy: linking topological and information-theoretic approaches to higher-order interactions in complex systems
Thomas F. Varley, Pedro A. M. Mediano, Alice Patania +1
The study of irreducible higher-order interactions has become a core topic of study in complex systems. Two of the most well-developed frameworks, topological data analysis and mul…
Topological Learning for Motion Data via Mixed Coordinates
Hengrui Luo, Jisu Kim, Alice Patania +1
Topology can extract the structural information in a dataset efficiently. In this paper, we attempt to incorporate topological information into a multiple output Gaussian process m…
Exact and rapid linear clustering of networks with dynamic programming
Alice Patania, Antoine Allard, Jean-Gabriel Young
We study the problem of clustering networks whose nodes have imputed or physical positions in a single dimension, for example prestige hierarchies or the similarity dimension of hy…
Nerve theorems for fixed points of neural networks
Daniela Egas Santander, Stefania Ebli, Alice Patania +4
Nonlinear network dynamics are notoriously difficult to understand. Here we study a class of recurrent neural networks called combinatorial threshold-linear networks (CTLNs) whose…
Networks beyond pairwise interactions: structure and dynamics
Federico Battiston, Giulia Cencetti, Iacopo Iacopini +5
The complexity of many biological, social and technological systems stems from the richness of the interactions among their units. Over the past decades, a great variety of complex…
Generalized Penalty for Circular Coordinate Representation
Hengrui Luo, Alice Patania, Jisu Kim +1
Topological Data Analysis (TDA) provides novel approaches that allow us to analyze the geometrical shapes and topological structures of a dataset. As one important application, TDA…
Construction of and efficient sampling from the simplicial configuration model
Jean-Gabriel Young, Giovanni Petri, Francesco Vaccarino +1
Simplicial complexes are now a popular alternative to networks when it comes to describing the structure of complex systems, primarily because they encode multi-node interactions e…
Complex Politics: A Quantitative Semantic and Topological Analysis of UK House of Commons Debates
Stefano Gurciullo, Michael Smallegan, María Pereda +8
This study is a first, exploratory attempt to use quantitative semantics techniques and topological analysis to analyze systemic patterns arising in a complex political system. In…
-persistent homology of finite topological spaces
Francesco Vaccarino, Alice Patania, Giovanni Petri
Let be a finite poset. We will show that for any reasonable -persistent object in the category of finite topological spaces, there is a weighted graph, whose clique…