{"665495":{"#nid":"665495","#data":{"type":"event","title":"IDEaS Theoretical Neuroscience Seminar Series | Dimension of Activity In Random Feedforward Networks And Cerebellum-Like Systems","body":[{"value":"\u003Cp\u003E\u003Cstrong\u003ETalks Overview:\u003C\/strong\u003E Neural networks are high-dimensional systems whose activity forms a basis for learning and memory. Measured activity in biological and artificial neural networks does not uniformly fill the space of all possible activity patterns, instead being constrained to low-dimensional manifolds whose structure is related both to the architecture of the network and the nature of the inputs it receives. I will introduce the notion of the linear embedding dimension as a useful metric for describing neural network activity and discuss its relationship with learning. I will describe work that we have done in feedforward networks computing this quantity and relating it to generalization performance for learning tasks, and the anatomical organization of cerebellum-like systems. I will then describe recent work in which we have begun to analyze the dimension of random recurrent networks in the chaotic state.\u003C\/p\u003E\r\n\r\n\u003Cp\u003E\u003Cstrong\u003ESpeaker Webpage\u003C\/strong\u003E: http:\/\/lk.zuckermaninstitute.columbia.edu\/\u003C\/p\u003E\r\n\r\n\u003Cp\u003E\u003Cstrong\u003EHost: \u003C\/strong\u003EHannah Choi\u003C\/p\u003E\r\n","summary":null,"format":"limited_html"}],"field_subtitle":"","field_summary":"","field_summary_sentence":[{"value":"Featuring Ashok Litwin-Kumar | Assistant Professor, Department of Neuroscience, Columbia University"}],"uid":"27863","created_gmt":"2023-02-06 16:52:28","changed_gmt":"2023-02-20 15:36:55","author":"Christa Ernst","boilerplate_text":"","field_publication":"","field_article_url":"","field_event_time":{"event_time_start":"2023-02-21T14:00:00-05:00","event_time_end":"2023-02-21T15:00:00-05:00","event_time_end_last":"2023-02-21T15:00:00-05:00","gmt_time_start":"2023-02-21 19:00:00","gmt_time_end":"2023-02-21 20:00:00","gmt_time_end_last":"2023-02-21 20:00:00","rrule":null,"timezone":"America\/New_York"},"extras":[],"groups":[{"id":"1278","name":"College of Sciences"},{"id":"545781","name":"Institute for Data Engineering and Science"}],"categories":[],"keywords":[{"id":"187082","name":"go-ideas"},{"id":"189814","name":"go-researchevents"},{"id":"187423","name":"go-bio"},{"id":"172970","name":"go-neuro"}],"core_research_areas":[],"news_room_topics":[],"event_categories":[{"id":"1795","name":"Seminar\/Lecture\/Colloquium"}],"invited_audience":[{"id":"78761","name":"Faculty\/Staff"},{"id":"177814","name":"Postdoc"},{"id":"78771","name":"Public"},{"id":"174045","name":"Graduate students"},{"id":"78751","name":"Undergraduate students"}],"affiliations":[],"classification":[],"areas_of_expertise":[],"news_and_recent_appearances":[],"phone":[],"contact":[{"value":"\u003Cp\u003E\u003Cstrong\u003EHost: \u003C\/strong\u003EHannah Choi\u003C\/p\u003E\r\n","format":"limited_html"}],"email":[],"slides":[],"orientation":[],"userdata":""}}}