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09/12/2023
Chemically inspired Erdős-Rényi oriented hypergraphs
High-order structures have been recognised as suitable models for system...
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06/02/2023
Quantifying synergy and redundancy in multiplex networks
Understanding how different networks relate to each other is key for obt...
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11/10/2022
BERT in Plutarch's Shadows
The extensive surviving corpus of the ancient scholar Plutarch of Chaero...
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10/28/2022
Diversity enables the jump towards cooperation for the Traveler's Dilemma
Social dilemmas are situations in which collective welfare is at odds wi...
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04/23/2022
Continuity and Additivity Properties of Information Decompositions
Information decompositions quantify how the Shannon information about a ...
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03/14/2022
Geometry of Data
Topological data analysis asks when balls in a metric space (X,d) inters...
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12/11/2021
The Past as a Stochastic Process
Historical processes manifest remarkable diversity. Nevertheless, schola...
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05/06/2021
Floer Homology: From Generalized Morse-Smale Dynamical Systems to Forman's Combinatorial Vector Fields
We construct a Floer type boundary operator for generalised Morse-Smale ...
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10/30/2020
Edge-based analysis of networks: Curvatures of graphs and hypergraphs
The relations, rather than the elements, constitute the structure of net...
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10/28/2020
Geometric Sampling of Networks
Motivated by the methods and results of manifold sampling based on Ricci...
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03/12/2020
It Means More if It Sounds Good: Yet Another Hypotheses Concerning the Evolution of Polysemous Words
This position paper looks into the formation of language and shows ties ...
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11/07/2019
Deriving pairwise transfer entropy from network structure and motifs
Transfer entropy is an established method for quantifying directed stati...
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10/14/2019
A Simple Differential Geometry for Networks and its Generalizations
Based on two classical notions of curvature for curves in general metric...
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09/26/2019
Decomposing Textual Information For Style Transfer
This paper focuses on latent representations that could effectively deco...
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07/10/2019
Ollivier Ricci Curvature of Directed Hypergraphs
We develop a definition of Ricci curvature on directed hypergraphs and e...
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05/27/2019
Probabilistic mappings and Bayesian nonparametrics
In this paper we develop a functorial language of probabilistic mappings...
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05/21/2019
Evolving neural networks to follow trajectories of arbitrary complexity
Many experiments have been performed that use evolutionary algorithms fo...
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01/23/2019
Unique Information and Secret Key Decompositions
The unique information (UI) is an information measure that quantifies a ...
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11/19/2018
Forman-Ricci Curvature for Hypergraphs
In contrast to graph-based models for complex networks, hypergraphs are ...
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07/13/2018
Unique Informations and Deficiencies
Given two channels that convey information about the same random variabl...
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12/20/2017