The dynamics of higher-order novelties

Abstract Studying how we explore the world in search of novelties is key to understand the mechanisms that can lead to new discoveries. Previous studies analyzed novelties in various exploration processes, defining them as the first appearance of an element. However, novelties can also be generated...

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Main Authors: Gabriele Di Bona, Alessandro Bellina, Giordano De Marzo, Angelo Petralia, Iacopo Iacopini, Vito Latora
Format: Article
Language:English
Published: Nature Portfolio 2025-01-01
Series:Nature Communications
Online Access:https://doi.org/10.1038/s41467-024-55115-y
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author Gabriele Di Bona
Alessandro Bellina
Giordano De Marzo
Angelo Petralia
Iacopo Iacopini
Vito Latora
author_facet Gabriele Di Bona
Alessandro Bellina
Giordano De Marzo
Angelo Petralia
Iacopo Iacopini
Vito Latora
author_sort Gabriele Di Bona
collection DOAJ
description Abstract Studying how we explore the world in search of novelties is key to understand the mechanisms that can lead to new discoveries. Previous studies analyzed novelties in various exploration processes, defining them as the first appearance of an element. However, novelties can also be generated by combining what is already known. We hence define higher-order novelties as the first time two or more elements appear together, and we introduce higher-order Heaps’ exponents as a way to characterize their pace of discovery. Through extensive analysis of real-world data, we find that processes with the same pace of discovery, as measured by the standard Heaps’ exponent, can instead differ at higher orders. We then propose to model an exploration process as a random walk on a network in which the possible connections between elements evolve in time. The model reproduces the empirical properties of higher-order novelties, revealing how the network we explore changes over time along with the exploration process.
format Article
id doaj-art-269c62114ec94479983e4d074694ac76
institution Kabale University
issn 2041-1723
language English
publishDate 2025-01-01
publisher Nature Portfolio
record_format Article
series Nature Communications
spelling doaj-art-269c62114ec94479983e4d074694ac762025-01-05T12:40:32ZengNature PortfolioNature Communications2041-17232025-01-0116111210.1038/s41467-024-55115-yThe dynamics of higher-order noveltiesGabriele Di Bona0Alessandro Bellina1Giordano De Marzo2Angelo Petralia3Iacopo Iacopini4Vito Latora5School of Mathematical Sciences, Queen Mary University of LondonSony Computer Science Laboratories RomeCentro Ricerche Enrico FermiDepartment of Economics and Business, University of CataniaNetwork Science Institute, Northeastern University LondonSchool of Mathematical Sciences, Queen Mary University of LondonAbstract Studying how we explore the world in search of novelties is key to understand the mechanisms that can lead to new discoveries. Previous studies analyzed novelties in various exploration processes, defining them as the first appearance of an element. However, novelties can also be generated by combining what is already known. We hence define higher-order novelties as the first time two or more elements appear together, and we introduce higher-order Heaps’ exponents as a way to characterize their pace of discovery. Through extensive analysis of real-world data, we find that processes with the same pace of discovery, as measured by the standard Heaps’ exponent, can instead differ at higher orders. We then propose to model an exploration process as a random walk on a network in which the possible connections between elements evolve in time. The model reproduces the empirical properties of higher-order novelties, revealing how the network we explore changes over time along with the exploration process.https://doi.org/10.1038/s41467-024-55115-y
spellingShingle Gabriele Di Bona
Alessandro Bellina
Giordano De Marzo
Angelo Petralia
Iacopo Iacopini
Vito Latora
The dynamics of higher-order novelties
Nature Communications
title The dynamics of higher-order novelties
title_full The dynamics of higher-order novelties
title_fullStr The dynamics of higher-order novelties
title_full_unstemmed The dynamics of higher-order novelties
title_short The dynamics of higher-order novelties
title_sort dynamics of higher order novelties
url https://doi.org/10.1038/s41467-024-55115-y
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