Descrizione del progetto FET Proactive: Dynamics of Multi-Level Complex Systems (DyM-CS) Mostra l’obiettivo del progetto Nascondi l’obiettivo del progetto In dynamics, local behaviour is often very unstable, while global behaviour often is immensely hard to derive from local knowledge. Traditionally, topology has been used in abstracting the local behaviour into qualitative classes of behaviour -- while we cannot describe the path a particular flow will take around a strange attractor in a chaotic system, we can often say meaningful things about the trajectory as an entirety, and its abstract properties.We propose to use computational topology, which takes notions from algebraic topology and adapts and extends them into more algorithmic forms, to enrich the study of the dynamics of multi-scale complex systems. With the algorithmic approach, we are able to consider inverse problems, such as reconstructing dynamical behaviorus from discrete point samples. This is the right approach to take for complex systems, where the precise behaviour is difficult if not impossible to analyse analytically.In particular we will extend the technique of persistence to include ideas from dynamical systems, as well as incorporating category theory and statistics. Persistence is inherently multi-scale, and provides a framework that will support the analysis of multi-scale systems, category theory provides a platform for a unified theory and joint abstraction layers, and statistics allows us to provide quality measures, inferences, and provide confidence intervals and variance measures for our analyses.The combination of these four areas: category theory, statistics, and dynamical systems with computational topology as the joint platform for the three other components, will allow for a mathematically rigorous description of the dynamics of a system from a local to a global scale. In this framework, multi-scale features have a natural place, and the focus on computation and algorithmics means we can easily verify and validate our theory. We propose to do this on two datasets, capturing robot configuration spaces and social media. Campo scientifico natural sciencesmathematicspure mathematicstopologycomputational topology Programma(i) FP7-ICT - Specific Programme "Cooperation": Information and communication technologies Argomento(i) ICT-2011.9.7 - FET Proactive: Dynamics of Multi-Level Complex Systems (DyM-CS) Invito a presentare proposte FP7-ICT-2011-8 Vedi altri progetti per questo bando Meccanismo di finanziamento CP - Collaborative project (generic) Coordinatore INSTITUT JOZEF STEFAN Contributo UE € 642 813,00 Indirizzo Jamova 39 1000 Ljubljana Slovenia Mostra sulla mappa Regione Slovenija Zahodna Slovenija Osrednjeslovenska Tipo di attività Research Organisations Contatto amministrativo Primoz Skraba (Dr.) Collegamenti Contatta l’organizzazione Opens in new window Sito web Opens in new window Costo totale Nessun dato Partecipanti (4) Classifica in ordine alfabetico Classifica per Contributo UE Espandi tutto Riduci tutto INSTITUTE OF SCIENCE AND TECHNOLOGY AUSTRIA Austria Contributo UE € 498 171,00 Indirizzo Am Campus 1 3400 Klosterneuburg Mostra sulla mappa Regione Ostösterreich Niederösterreich Wiener Umland/Nordteil Tipo di attività Higher or Secondary Education Establishments Contatto amministrativo Barbara Abraham (Ms.) Collegamenti Contatta l’organizzazione Opens in new window Sito web Opens in new window Costo totale Nessun dato TECHNION - ISRAEL INSTITUTE OF TECHNOLOGY Israele Contributo UE € 497 864,00 Indirizzo SENATE BUILDING TECHNION CITY 32000 Haifa Mostra sulla mappa Tipo di attività Higher or Secondary Education Establishments Contatto amministrativo Robert Adler (Prof.) Collegamenti Contatta l’organizzazione Opens in new window Sito web Opens in new window Costo totale Nessun dato Jagiellonian University in Krakow Polonia Contributo UE € 495 576,00 Indirizzo Ul. Golebia 24 31007 KRAKOW Mostra sulla mappa Regione Makroregion centralny Łódzkie Miasto Łódź Tipo di attività Higher or Secondary Education Establishments Contatto amministrativo Marian Mrozek (Prof.) Collegamenti Contatta l’organizzazione Opens in new window Sito web Opens in new window Costo totale Nessun dato KUNGLIGA TEKNISKA HOEGSKOLAN Svezia Contributo UE € 500 576,00 Indirizzo BRINELLVAGEN 8 100 44 Stockholm Mostra sulla mappa Regione Östra Sverige Stockholm Stockholms län Tipo di attività Higher or Secondary Education Establishments Contatto amministrativo Frine Portal (Ms.) Collegamenti Contatta l’organizzazione Opens in new window Sito web Opens in new window Costo totale Nessun dato
