HIntNets · Higher-order interactions and Laplacian dynamics in complex networks: structure, dynamics and control
„Хоризонт 2020“ — Действия „Мария Склодовска-Кюри“
- Период
- 2017-07-01 → 2020-08-18
- Финансиране от ЕС
- 251 858 €
- Участници
- 2
- Схема
- MSCA-IF
Линиите свързват координатора с партньорите.
Накратко на български
Сложните мрежи се анализират чрез взаимодействия между групи от елементи, а не само по двойки, като например съвместната работа на купувач, продавач и брокер. Това помага за по-точното моделиране и управление на процеси в биологията, физиката и обществото.
Кратко обяснение, генерирано от езиков модел по текста на CORDIS. Оригиналът е по-долу.
Резултати накратко
Higher-order interactions and Laplacian dynamics in complex networks: structure, dynamics and control
Complex networks underpin integral parts of our biological, physical and socio-economic universe. Understanding such networks is thus a core problem arising in many different applications. Thus far, such networks have been mainly represented as graphs. However, while graphs can capture pairwise interactions between nodes, fundamental interactions in networks often take place between multiple nodes. For example, in socio-economic networks, the joint coordinated activity of several agents (e.g. buyer, seller, broker); the formation and interactions of coalitions; the emergence of peer pressure; and the existence of triadic closure are all prevalent. The objective of this interdisciplinary project was to investigate such non-binary, group-based relationships in complex networks and their dynamical implications. Specifically, we examined how such interactions can be accounted for in the modelling, analysis and design of complex networks, and will investigate generalized network models. While data about group interactions is readily available in some cases, often the groupings or even the network of interactions might be unknown. We thus investigated techniques to infer (generalized) networks and group structures from available data. To provide an analysis framework for non-binary interactions, we extended the geometrical framework of simplicial complexes to account systematically for non-binary couplings of nodes, node-pairs, triplets, etc., allowing us to assess and design higher-order interactions. We focused on Laplacian dynamics such as consensus and random walks as prototypical examples of a range of phenomena. By combining tools from Network Science and Control Theory, we were able to develop new tools for (higher order) network analysis. In conclusion, the project developed new tools to analyze, design and utilize higher-order network interactions that arise in applications and real-world data.
Текст от CORDIS, на английски · Данни: CORDIS, © Европейски съюз
Цел на проекта
Complex networks are an essential ingredient of modern life, and underpin integral parts of our biological, physical, technological and socio-economic universe. Thus far, such networks have been mainly represented as graphs. However, while graphs can capture pairwise interactions between nodes, fundamental interactions in networks often take place between multiple nodes. For example, in socio-economic networks, the joint coordinated activity of several agents (e.g. buyer, seller, broker); the formation and interactions of coalitions; the emergence of peer pressure; and the existence of triadic closure are all prevalent.The objective of this interdisciplinary project is to investigate such non-binary interactions in complex networks and their dynamical implications. Specifically, we will investigate how such interactions can be taken into account for the modelling, analysis and design of complex networks.To achieve this, we will extend the geometrical framework of simplicial complexes to account systematically for weighted non-binary couplings of nodes, node-pairs, triplets, etc., allowing us to consistently assess and design higher-order interactions. Here, we will focus on consensus and random walks as prototypical examples of a range of other phenomena. Working at the interface of Network Science and Control Theory, we will combine recent tools from both fields and apply our results to real biological and socio-economic networks and data. We will investigate how the consideration of non-binary couplings can yield an improved understanding of the propagation of external shocks in socio-economic networks, and help to reveal dynamical groupings in networks emerging from systems biology experiments.Providing a synergy between the applicant’s multidisciplinary background and the leading Systems, Optimization and Control research of the hosts, this proposal holds the potential to leverage the candidate’s career and yield scientific results of general relevance.
Оригинален текст от CORDIS (на английски).
Участници
- THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD · OxfordКоординаторОбединеното кралство
- MASSACHUSETTS INSTITUTE OF TECHNOLOGY · CambridgeСъединени щати
Връзки
Данни: CORDIS, © Европейски съюз