Fundamentals of Brain Connectomics

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Related lectures (56)

Neuroprosthetics: Advances in fMRI in Rodents Log in to Mediaspace to watch this video

Explores new advances in fMRI in rodents, focusing on network psychology to physiology.

The Microcircuits of Striatum in Silico Log in to Mediaspace to watch this video

Explores the reconstruction of a full-scale mouse striatal cellular level model to integrate and interpret striatal data.

Introduction to Systems Neuroscience: Memory Systems Overview Log in to Mediaspace to watch this video

Introduces systems neuroscience, focusing on neural circuits, memory systems, and course logistics.

Interlacing Families and Ramanujan Graphs Log in to Mediaspace to watch this video

Explores interlacing families, Ramanujan graphs, and their construction using signed adjacency matrices.

Interlacing Families and Ramanujan Graphs Log in to Mediaspace to watch this video

Explores interlacing families of polynomials and 1-sided Ramanujan graphs, focusing on their properties and construction methods.

Cheeger's Inequalities Log in to Mediaspace to watch this video

Explores Cheeger's inequalities for random walks on graphs and their implications.

Graphical Models: Probability Distributions and Factor Graphs Log in to Mediaspace to watch this video

Covers graphical models for probability distributions and factor graphs representation.

Statistical analysis of network data Log in to Mediaspace to watch this video

Covers stochastic properties, network structures, models, statistics, centrality measures, and sampling methods in network data analysis.

Expander Graphs: Properties and Eigenvalues Log in to Mediaspace to watch this video

Explores expanders, Ramanujan graphs, eigenvalues, Laplacian matrices, and spectral properties.

Message passing in graphical models Log in to Mediaspace to watch this video

Explains message passing in graphical models and the matching problem in graph theory.

Belief Propagation on Graphs Log in to Mediaspace to watch this video

Explores belief propagation on graphs, emphasizing normalization, recursive relations, and iterative computation of the partition function.

Dijkstra's Algorithm Overview Log in to Mediaspace to watch this video

Demonstrates the iterative process of applying Dijkstra's algorithm to find optimal paths.

Shortest Paths: Negative Weights Log in to Mediaspace to watch this video

Explores Bellman-Ford algorithm for negative weight graphs and currency exchange rates.

Reformulating Problems: Tools and Intuition Log in to Mediaspace to watch this video

Focuses on open problems and the importance of reformulating problems with better tools and intuition.

Graph Signal Processing for the Brain Log in to Mediaspace to watch this video

Explores the integration of brain structure and function using Graph Signal Processing techniques, including functional MRI and structural connectome analysis.

Embedding Graphs into Trees Log in to Mediaspace to watch this video

Covers embedding graphs into trees with a focus on minimizing distortion and Bartal Tree embeddings.

Graph Sketching: Connected Components Log in to Mediaspace to watch this video

Covers the concept of graph sketching with a focus on connected components.

Graph Theory and Network Flows Log in to Mediaspace to watch this video

Introduces graph theory, network flows, and flow conservation laws with practical examples and theorems.

Handshake Problem: Graph Representation Log in to Mediaspace to watch this video

Explores a classic handshake problem at a party using graph representation.

Cartesian Product: Graph Operations Log in to Mediaspace to watch this video

Explores the Cartesian product operation on graphs and introduces the concept of cubes.

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