Locally Linear Embedding and Topology Representing Networks

Aug 02, 2014

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Locally Linear Embedding and Topology Representing Networks. Think globally, fit locally Okke Formsma, Per Løwenborg and Nicolas Roussis . What are we trying to accomplish?. Reduce dimensionality Find connectivity. Reduce Dimensionality. 3 input dimensions. 2 output dimensions.

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Locally Linear Embedding and Topology Representing Networks

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Presentation Transcript

Locally Linear Embedding and Topology Representing Networks Think globally, fit locally Okke Formsma, Per Løwenborg and Nicolas Roussis
What are we trying to accomplish? Reduce dimensionality Find connectivity
Reduce Dimensionality 3 input dimensions 2 output dimensions
Find Connectivity Which points are neighbors? Delaunay Triangulation
Find Connectivity Which points are neighbors? Delaunay Triangulation Topology Representing Network
Find Connectivity Original Dataset Our Result! Changed Lifetime of a Connection

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Locally Linear Embedding and Topology Representing Networks

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Presentation Transcript

Topology and Dynamics of Complex Networks

Understanding Calculus is Largely Locally Linear

Nonlinear Dimensionality Reduction by Locally Linear Embedding

REPRESENTING LINEAR INEQUALITIES ON GRAPHS

1.5 Representing Linear Patterns

Locally Linear Embedding

Topology control in wireless networks

Lightseminar: Learned Representation in AI An Introduction to Locally Linear Embedding

Manifold learning: Locally Linear Embedding

Locally Linear Support Vector Machines

Topology-Aware Overlay Networks

Topology Management In Sensor Networks

Topology Management Ad hoc and Sensor Networks

Local and global mappings of topology representing networks

Topology of P2P Networks

Topology and Dynamics of Complex Networks

Networks and Network Topology

Manifold learning: Locally Linear Embedding

Manifold learning: Locally Linear Embedding

Locally Linear Support Vector Machines

Lightseminar: Learned Representation in AI An Introduction to Locally Linear Embedding

Networks, Topology, &amp; Architecture

Networks, Topology, & Architecture