Thermodynamic Depth of Networks

Published on Jul 02, 20123658 Views

Function Prediction in Complex Networks 2012 - Kavli Royal Society Centre

Thermodynamic Depth of Networks00:00

Contents00:00

Networks Complexity00:30

Network Science needs “quantification”00:32

Randomness Complexity Quantification (1)03:05

Randomness Complexity Quantification (2)04:24

Our approach in a nutshell!06:23

Network Complexity (1)07:22

Polytopal Complexity08:31

The Birkhoff von Neumann Theorem (1)08:41

The Birkhoff von Neumann Theorem (2)09:32

The Link: Heat Kernels10:50

Polytopal Complexity12:43

Phase Change (1)13:10

Phase Change (2)14:39

Phase Change (3)15:54

Phase Change and Permanents19:52

Flow Complexity21:24

Constrained Heat Transfer21:30

Main Principle23:20

Flow-based Thermodynamic Depth24:58

Main Ingredients (1)25:10

Main Ingredients (2)26:15

PPI analysis28:34

Exploiting TD for evolutionary analysis (1)28:35

Exploiting TD for evolutionary analysis (2)29:35

Exploiting TD for evolutionary analysis (3)30:05

Exploiting TD for evolutionary analysis (4)30:53

Networks as Probability Distributions32:18