Petar Maymounkov's
18.409 – Metric Embeddings with Prof. Michel Goemans
Related links:
Course web site –
18.409: Metric Embeddings (Fall 2006)
Local copy of course web site (Fall 2006)
Scripted Notes:
Script (9/6):
Definitions, Cones and Isometric Reductions b/w Spaces and Dimensionalities
Script (9/11):
L
2
-embedability and Isoperimetric Inequalities
Script (9/13):
Planar Graph Metrics and L
2
-embedability, Expander/Algebraic Lower-bound on L
2
Distortion
Script (9/18):
Multicommodity Flow, Sparsest Cut and Lower-bound on L
2
Distortion
Script (9/20):
Bourgain's Embedding
Script (9/27): Johnson-Lindenstrauss Flattening Lemma
Script (10/2):
Lower-bound for Dimensionality Reduction in L
2
and L
1
Script (10/4):
Embeddings of Planar Graphs (and Graphs with Minor-Exclusion Properties) into L
2
, Part I
Script (10/11): Embeddings of Planar Graphs (and Graphs with Minor-Exclusion Properties) into L
2
, Part II
Script (10/16):
Combining Embeddings, Negative Type Preliminaries
Script (10/18):
Arora-Rao-Vazirani Approximation of Sparsest Cut, Part I
Script (10/25):
Arora-Rao-Vazirani Approximation of Sparsest Cut, Part II
Topics by Students:
Lower bounds by Fourier Analysis, Matousek, Chapter 15
Probabilistic Approximations by Tree Metrics, Bartal