Channel: PBS Infinite Series

Category: Education

Tags: infinite seriesalgebraicpbsmindneuralmathematicsmathstopologyneuroscienceinfiniteneural networksdigital-brainalgebraabstractbrainmathematicianneuronsnetworkmicrocircuitryprocessinginformationmath

Description: Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: to.pbs.org/donateinfi What is a Simplicial Complex and how can it help us decode the brain’s neurological structure? This is Part 2 in our Your Brain as Math mini-series. Check out Part 1 here: youtube.com/watch?v=M0M3srBoTkY Check out Part 3 here: youtube.com/watch?v=akgU8nRNIp0 Tweet at us! @pbsinfinite Facebook: facebook.com/pbsinfinite series Email us! pbsinfiniteseries [at] gmail [dot] com Previous Episode Your Brain as Math - Part 1 youtu.be/M0M3srBoTkY Network Mathematics and Rival Factions youtube.com/watch?v=qEKNFOaGQcc Last episode we saw that your neural network can be modeled as a graph, which -- we’ll show in this episode -- can be viewed as a higher-dimensional simplicial complex. So… what is a simplicial complex?? Written and Hosted by Kelsey Houston-Edwards Produced by Rusty Ward Graphics by Ray Lux Assistant Editing and Sound Design by Mike Petrow Made by Kornhaber Brown (kornhaberbrown.com) Resources: Cliques of Neurons Bound into Cavities Provide a Missing Link between Structure and Function journal.frontiersin.org/article/10.3389/fncom.2017.00048/full The Blue Brain Project: bluebrain.epfl.ch Barcodes: The Persistent Topology of Data math.upenn.edu/~ghrist/preprints/barcodes.pdf Network Neuroscience nature.com/neuro/journal/v20/n3/full/nn.4502.html Algebraic Topology math.cornell.edu/~hatcher/AT/ATpage.html Special thanks to Kathryn Hess and Florian Frick! Special thanks to Matthew O'Connor and Yana Chernobilsky who are supporting us on Patreon at the Identity level! And thanks to Mauricio Pacheco who is supporting us at the Lemma level!