MGA Workshop III: Multiscale structures in the analysis of High-Dimensional Data

October 25 - 29, 2004

IPAM Building
Room 1200

Morning Session

Analysis and Learning of Manifolds in High Dimension

Ronald Coifman (Yale University)

"Geometric Diffusions as a tool for Harmonic Analysis and structure definition of data"

Lawrence Saul (University of Pennsylvania)

"Unfolding a manifold by semidefinite programming"
Presentation (PDF File)

Afternoon Session

Manifold Structures and Information in High Dimension

Guillermo Sapiro (University of Minnesota)

"Comparing Point Clouds"
Presentation (PDF File)

Alfred Hero (University of Michigan)

"Information divergence in high dimensions"
Presentation (PDF File)

Partha Niyogi (University of Chicago)

"Estimating Functional Maps on Riemannian Submanifolds from Sampled Data"
Presentation (PDF File)

Natalie Jeremijenko (University of California at San Diego)

"Seeing Stars: structures of participation and designing information exchange..."

Morning Session

Mathematical Issues and Embeddings in High Dimension

Peter Jones (Yale University)

"Some Problems in the Geometry of Data Sets"

Yair Bartal (Hebrew University, Jerusalem, Israel)

"Embedding Metrics in Ultrametrics"

Afternoon Session

Assaf Naor (Microsoft Research)

"On the dimension of finite metric spaces"

Sonification

Thomas Hermann (Bielefeld University, Germany)

"Multiscale Auditory Displays - Interacting with the complexity level in Model-based Sonification"
Presentation (PDF File)
Additional Presentation Files (Zip Archive)

Jonathan Berger (Stanford University)

"Sonification of data and data-clusters using 2-dimensional waveguide mesh"

Morning Session

Classification and Simulation in High Dimension

Robert Nowak ()

"Minimax-Optimal Classification with Dyadic Decision Trees"
Presentation (PDF File)

Michael Kirby (Colorado State University)

"Dimensionality Reduction using Secant-based Projection Methods"

Afternoon Session

Werner Stuetzle (Washington) and Tom Duchamp (Washington)

"Estimation / Approximation Problems in 3D Photography"
Presentation (PowerPoint File)

Dependencies and Conditionalities in High Dimension

Michael Jordan (University of California at Berkeley)

"Nonparametric characterizations of independence via reproducing kernel Hilbert spaces"
Presentation (PDF File)

Carey Priebe (Johns Hopkins University)

"On the role of the conditionality principle in dimensionality reduction"
Presentation (PDF File)

Evening Session

David Donoho (Stanford University)

Morning Session

Computational Applications in High Dimension

Leonidas Guibas (Stanford University)

"Multiresolution Proximity Maintenance for Moving Objects"
Presentation (PDF File)

Gerard Medioni (University of Southern California)

"Data-Driven, Non-Parametric Inference of Multiple Structures in N-D using Tensor Voting"
Presentation (PDF File)

Afternoon Session

Michael Mahoney (Yale University)

"Fast Monte Carlo Algorithms for Matrix Operations and Massive Data Set Analysis "
Presentation (PDF File)

Visualization

Brad Paley (Digital Image Design)

"Visual and Cognitive Layering: using illustration/art techniques to differentiate"

Leland Wilkinson (SPSS and Northwestern)

"Heatmaps"
Presentation (PDF File)

Morning Session

Computations and Simulations in High Dimension

Matthew Brand (Mitsubishi ERL)

"Extracting topology and exact isometry from the embedding graph"
Presentation (PDF File)

Alexander Gray (Carnegie Mellon University)

"High-Dimensional Integration by Statistical Inference"

Afternoon Session

Computational Topology and Manifold Learning

Vin de Silva (Stanford University)

"Multiscale parameters in computational topology"
Presentation (PDF File)

Hongyuan Zha (Pennsylvania State University)

"Tangent Space Alignment for Manifold Learning "
Presentation (PDF File)