Topological Characteristics of Neural Manifolds

dc.contributor.advisorTiesinga, Paul
dc.contributor.authorBeshkov, Kosio
dc.date.issued2020-10-28
dc.description.abstractIn recent years, neural population activity has been analysed by treat- ing it as a point cloud supported on a manifold whose structure gives information for the the type of computation that the network can per- form and the features it can represent. Simultaneously a data focused ap- proach to topology, which is a fundamental property of manifolds, known as topological data analysis (TDA), has also emerged. We use a method from that toolbox called persistent homology, it essentially nds the holes of di erent dimensions and sizes in point clouds and helps us understand the underlying manifold. We study the topology of neural populations by creating theoretical models capable of recreating a particular manifold's topology in their activity and also analysing the topological structure of neural activity during spontaneous and stimulus induced states in mouse cortex. We nd signi cant di erences between the topological structure of neural manifolds for di erent stimulus conditions across the brain.
dc.identifier.urihttps://theses.ubn.ru.nl/handle/123456789/14647
dc.language.isoen
dc.thesis.facultyFaculteit der Sociale Wetenschappen
dc.thesis.specialisationspecialisations::Faculteit der Sociale Wetenschappen::Researchmaster Cognitive Neuroscience
dc.thesis.studyprogrammestudyprogrammes::Faculteit der Sociale Wetenschappen::Researchmaster Cognitive Neuroscience
dc.thesis.typeResearchmaster
dc.titleTopological Characteristics of Neural Manifolds
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