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Modularity and Community Structure in Networks*

Modularity and Community Structure in Networks*

Modularity and Community Structure in Networks*. Final project *Based on a paper by M.E.J Newman in PNAS 2006. Introduction. Networks. A network: presented by a graph G(V,E): V = nodes, E = edges (link node pairs) Examples of real-life networks: social networks (V = people)

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749 views • 50 slides
Lecture 6 Information in wave function. I.

Lecture 6 Information in wave function. I.

Lecture 6 Information in wave function. I.

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517 views • 33 slides
CSE 291 Seminar Presentation Andrew Cosand ECE CVRR

CSE 291 Seminar Presentation Andrew Cosand ECE CVRR

An Algorithm for Associating the Features of Two Images / G. L. Scott, H. C. Longuet-Higgins A direct method for stereo correspondence based on singular value decomposition / M. Pilu. CSE 291 Seminar Presentation Andrew Cosand ECE CVRR. Outline. Correspondence Problem Examples Discrepancy

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414 views • 28 slides
Schur Factorization

Schur Factorization

Schur Factorization. Heath Gemar 11-10-12 Advisor: Dr. Rebaza. Overview. Definitions Theorems Proofs Examples Physical Applications. Definition 1. We say that a subspace S or R n is invariant under A nxn , or A-invariant if: x ? S ? Ax ? S,

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USSC3002 Oscillations and Waves Lecture 5 Dampened Oscillations

USSC3002 Oscillations and Waves Lecture 5 Dampened Oscillations

USSC3002 Oscillations and Waves Lecture 5 Dampened Oscillations. Wayne M. Lawton Department of Mathematics National University of Singapore 2 Science Drive 2 Singapore 117543. Email matwml@nus.edu.sg http://www.math.nus/~matwml Tel (65) 6874-2749. 1. FREE OSCILLATIONS.

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329 views • 12 slides
MAT208 Linear Algebra

MAT208 Linear Algebra

MAT208 Linear Algebra. Eigenvalues and Eigenvectors. Real Eigenvalues. Consider the linear homogeneous system: To find eigenvalues, we consider the characteristic equation:. Distinct Eigenvalues. If the eigenvalues are distinct, we know that the general solution may be represented as:

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