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Lecture
Graphs and Probabilities
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Related lectures (34)
Statistical Analysis of Network Data
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Introduces network data structures, models, and analysis techniques, emphasizing permutation invariance and Erdős-Rényi networks.
Graphs and Networks: Basics and Applications
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Introduces the basics of graphs and networks, covering definitions, paths, trees, flows, circulation, and spanning trees.
Elements of Statistics
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Introduces key statistical concepts like probability, random variables, and correlation, with examples and explanations.
Estimating R: Example 100
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Explores correlation limitations, probability, random variables, and statistical inference using a ball-drawing example.
Probability and Statistics: Basics and Applications
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Covers fundamental concepts of probability and statistics, focusing on data analysis, graphical representation, and practical applications.
Law of Large Numbers: Strong Convergence
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Explores the strong convergence of random variables and the normal distribution approximation in probability and statistics.
Probability and Statistics
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Introduces key concepts in probability and statistics, such as events, Venn diagrams, and conditional probability.
Conditional Density and Expectation
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Explores conditional density, expectations, and independence of random variables with practical examples.
Bipartite Graphs: Independent Sets
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Explores bipartite graphs, independent sets, Shearer's Lemma, labeled graphs, and entropy analysis.
Probability Theory: Basics
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Introduces the basics of probability theory, covering events, intersections, unions, and sample space.
Link-based Ranking: Fundamentals and Algorithms
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Covers the fundamentals and algorithms of link-based ranking, including anchor text indexing, PageRank, HITS, and practical implementations.
Isoperimetric Inequality: Optimal Transport
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Explores the isoperimetric inequality and its application in optimal transport, discussing properties of optimal maps and quality cases.
Sparsest Cut: ARV Theorem
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Covers the proof of the Bourgain's ARV Theorem, focusing on the finite set of points in a semi-metric space and the application of the ARV algorithm to find the sparsest cut in a graph.
Level Curves and Graph Sketching
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Explains level curves and graph sketching for functions of multiple variables.
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