Graph algorithms | Network analysis

Clique percolation method

The clique percolation method is a popular approach for analyzing the overlapping community structure of networks. The term network community (also called a module, cluster or cohesive group)has no widely accepted unique definition and it is usually defined as a group of nodes that are more densely connected to each other than to other nodes in the network. There are numerous alternative methods for detecting communities in networks, for example, the Girvan–Newman algorithm, hierarchical clustering and modularity maximization. (Wikipedia).

Clique percolation method
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Network Analysis. Lecture10. Community detection

Community detection algorithms. Overlapping communities. Clique percolation method. Heuristic methods. Label propagation. Fast community unfolding. Random walk based methods. Walktrap. Nibble. Lecture slides: http://www.leonidzhukov.net/hse/2015/networks/lectures/lecture10.pdf

From playlist Structural Analysis and Visualization of Networks.

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Ginestra Bianconi: Large Random Complex Networks

The lecture was held within the framework of the Hausdorff Trimester Program Multiscale Problems: Winter School on Numerical Analysis of Multiscale Problems.

From playlist HIM Lectures: Trimester Program "Multiscale Problems"

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Topology of Random Simplicial Complexes - Matthew Kahle

Topology of Random Simplicial Complexes - Matthew Kahle Institute for Advanced Study October 5, 2010 In this talk I will overview two very different kinds of random simplicial complex, both of which could be considered higher-dimensional generalizations of the Erdos-Renyi random graph, and

From playlist Mathematics

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Solving a trigonometric equation with applying pythagorean identity

👉 Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric equations, they include factoring out the GCF and simplifying the factored equation. Another method is to use a trigonometric identity to reduce and then simplify the given eq

From playlist Solve Trigonometric Equations by Factoring

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Lagrange Multipliers: Minimize f=x^2+y^2 under Constraint x+4y=20

This video provides and example of how to use the method of Lagrange Multipliers.

From playlist Lagrange Multipliers

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Method of Lagrange multipliers.

Download the free PDF http://tinyurl.com/EngMathYT I discuss a basic example of maximizing / minimizing a function subject to a constraint. The approach involves the method of Lagrange multipliers.

From playlist Lagrange multipliers

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Solve for all of the solutions of an equation when you have to factor

👉 Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric equations, they include factoring out the GCF and simplifying the factored equation. Another method is to use a trigonometric identity to reduce and then simplify the given eq

From playlist Solve Trigonometric Equations by Factoring

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Solving an equation with cosine of a multiple angle

👉 Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric equations, they include by factoring out the GCF and simplifying the factored equation. Another method is to use a trigonometric identity to reduce and then simplify the given

From playlist Solve Trigonometric Equations with Multi Angles

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A gentle introduction to network science: Dr Renaud Lambiotte, University of Oxford

The language of networks and graphs has become a ubiquitous tool to analyse systems in domains ranging from biology to physics and from computer science to sociology. Renaud will present important properties observed in real-life networked systems, as well as tools to understand and model

From playlist Data science classes

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How to use factoring to solve a trigonometric equation

👉 Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric equations, they include factoring out the GCF and simplifying the factored equation. Another method is to use a trigonometric identity to reduce and then simplify the given eq

From playlist Solve Trigonometric Equations by Factoring

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Learn how to write all of the solutions to a trigonometric equation

👉 Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric equations, they include factoring out the GCF and simplifying the factored equation. Another method is to use a trigonometric identity to reduce and then simplify the given eq

From playlist Solve Trigonometric Equations by Factoring

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Francois Baccelli: High dimensional stochastic geometry in the Shannon regime

This talk will focus on Euclidean stochastic geometry in the Shannon regime. In this regime, the dimension n of the Euclidean space tends to infinity, point processes have intensities which are exponential functions of n, and the random compact of interest sets have diameters of order squa

From playlist Workshop: High dimensional spatial random systems

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Using a Multiplier to Solve the System of Equations Using Elimination

👉Learn how to solve a system (of equations) by elimination. A system of equations is a set of equations which are collectively satisfied by one solution of the variables. The elimination method of solving a system of equations involves making the coefficient of one of the variables to be e

From playlist Solve a System of Equations Using Elimination | Medium

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Network Analysis. Lecture 8. Network communitites

Cohesive subgroups. Graph cliques, k-plexes, k-cores. Network communities. Vertex similarity matrix. Similarity based clustering. Agglomerative clustering. Graph partitioning. Repeated bisection. Edge Betweenness. Newman-Girvin algorithm. Lecture slides: http//www.leonidzhukov.net/hse/201

From playlist Structural Analysis and Visualization of Networks.

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How to solve a trigonometric equation

👉 Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric equations, they include factoring out the GCF and simplifying the factored equation. Another method is to use a trigonometric identity to reduce and then simplify the given eq

From playlist Solve Trigonometric Equations by Factoring

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Alex Wein: "The Kikuchi Hierarchy and Tensor PCA"

Tensor Methods and Emerging Applications to the Physical and Data Sciences 2021 Workshop III: Mathematical Foundations and Algorithms for Tensor Computations "The Kikuchi Hierarchy and Tensor PCA" Alex Wein - New York University Abstract: "Tensor PCA", also known as the "spiked tensor mo

From playlist Tensor Methods and Emerging Applications to the Physical and Data Sciences 2021

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If it probably exists, then it does

This is my individual submission for #Some2 Follow me on Tiktok! https://www.tiktok.com/@sackvideo Resources on the probabilistic method: https://en.wikipedia.org/wiki/Probabilistic_method https://2012.cccg.ca/papers/paper13.pdf https://www.cut-the-knot.org/Probability/ProbabilisticMethod

From playlist Summer of Math Exposition 2 videos

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Introduction to SNA. Lecture 5. Network communities.

Cohesive subgroups. Graph cliques. Network communities. Graph partitioning. Modularity. Edge Betweenness. Spectral partitioning. Modularity maximization. Heuristic methods. Label propagation. Fast community unfolding. Walktrap. Lecture slides: http://www.leonidzhukov.net/hse/2015/sna/lect

From playlist Introduction to SNA

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Lagrange Multipliers: Abs Extrema of Paraboloid Under Circular Constraint

This video provides and example of how to use the method of Lagrange Multipliers.

From playlist Lagrange Multipliers

Related pages

Geometric mean | Erdős–Rényi model | Clique (graph theory) | Percolation | Social network | Line graph | Girvan–Newman algorithm | Modularity (networks) | NP-hardness | Hypergraph | Hierarchical clustering