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Related lectures (31)
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Automorphism groups: Trees and Graphs
Explores automorphism groups in trees and graphs, focusing on ends and types of automorphisms.
Automorphism groups of trees and graphs II
Explores the uniqueness of trees, automorphism groups, Cayley-Abels graphs, and constructing vertex-transitive subgroups with prescribed local actions.
Automorphism Groups: Trees and Graphs III
Explores automorphism groups of trees and graphs, including actions on trees and group homomorphisms.
Statistical Analysis of Network Data
Introduces network data structures, models, and analysis techniques, emphasizing permutation invariance and Erdős-Rényi networks.
Graphs: Properties and Representations
Covers graph properties, representations, and traversal algorithms using BFS and DFS.
Real Functions: Graphs and Properties
Explores real functions, their graphs, properties, and transformations, including symmetry and surjection.
Graphs in Deep Learning: Applications and Techniques
Explores the role of graphs in deep learning, focusing on their structure, applications, and techniques for processing graph data.
Pseudorandomness: Theory and Applications
Explores pseudorandomness theory, AI challenges, pseudo-random graphs, random walks, and matrix properties.
Iterated Integrals: Order and Domains
Explores iterated integrals, order, domains, and symmetrical roles of variables in 2D space.
Understanding Surface Integrals
Explores surface integrals, emphasizing physical interpretation and mathematical calculations in vector fields and domains.
Bipartite and n-partite Graphs
Covers bipartite and n-partite graphs, including complete graph definitions and examples.
Graphical Models: Representing Probabilistic Distributions
Covers graphical models for probabilistic distributions using graphs, nodes, and edges.
Topological Scattering: From Graphs to Networks
Covers defining topological phases for photonic systems using unitary scattering matrices, transitioning from graphs to networks.
Eigenvalues and Sequences
Discusses finding d-regular graphs with specific eigenvalue properties and the existence of Ramasugan sequences for d-opt prime numbers.
Temporal Summation Analysis
Covers the analysis of temporal summations in bio mechanics.
Calibration Resolution: Hydrologic Parameters Optimization
Covers the calibration of hydrologic models through parameter optimization and post-simulation analysis.
Graphs: Injection and Surjection
Explains injectivity and surjectivity criteria in functions using graphical representations.
Optimization of Pseudometrics in Graphs
Covers the optimization of pseudometrics in graphs, focusing on minimizing pseudometrics and the shortest path metric.
Advanced Analysis II: Reciprocal Functions
Covers the concept of reciprocal functions and their properties, with various illustrative examples.
Partial Derivatives: Understanding Tangents
Explores partial derivatives and their role in determining tangents to graphs.
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