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

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

Part of the Long Program Multiscale Geometry and Analysis in High Dimensions
October 25 - 29, 2004

Schedule

All times in this Schedule are Pacific Time (PT)

Monday, October 25, 2004

Morning Session

08:30-09:15
Check-In/Light Breakfast (Hosted by IPAM)
09:15-09:30
Welcome and Opening Remarks
Analysis and Learning of Manifolds in High Dimension
09:30-10:30
Ronald Coifman (Yale University)
Geometric Diffusions as a tool for Harmonic Analysis and structure definition of data
10:30-11:00
Break
11:00-12:00
Lawrence Saul (University of Pennsylvania)
Unfolding a manifold by semidefinite programming

Afternoon Session

12:00-14:00
Lunch (on your own)
Manifold Structures and Information in High Dimension
14:00-15:00
Guillermo Sapiro (University of Minnesota)
Comparing Point Clouds
15:00-15:30
Break
15:30-16:30
Alfred Hero (University of Michigan)
Information divergence in high dimensions
16:30-17:00
Break
17:00-18:00
Partha Niyogi (University of Chicago)
Estimating Functional Maps on Riemannian Submanifolds from Sampled Data
18:00-19:30
Wine/Cheese Reception (Hosted by IPAM)
18:30-19:30
Natalie Jeremijenko (University of California at San Diego)
Seeing Stars: structures of participation and designing information exchange...

Tuesday, October 26, 2004

Morning Session

08:30-09:30
Check-In/Light Breakfast (Hosted by IPAM)
Mathematical Issues and Embeddings in High Dimension
09:30-10:30
Peter Jones (Yale University)
Some Problems in the Geometry of Data Sets
10:30-11:00
Break
11:00-12:00
Yair Bartal (Hebrew University)
Embedding Metrics in Ultrametrics

Afternoon Session

12:00-14:00
Lunch (on your own)
14:00-15:00
Assaf Naor (Microsoft Research)
On the dimension of finite metric spaces
15:00-15:30
Break
Sonification
15:30-16:30
Thomas Hermann (Bielefeld University, Germany)
Multiscale Auditory Displays - Interacting with the complexity level in Model-based Sonification
16:30-16:45
Break
16:45-17:45
Jonathan Berger (Stanford University)
Sonification of data and data-clusters using 2-dimensional waveguide mesh

Wednesday, October 27, 2004

Morning Session

08:30-09:30
Check-In/Light Breakfast (Hosted by IPAM)
Classification and Simulation in High Dimension
09:30-10:30
Robert Nowak (University of Wisconsin-Madison)
Minimax-Optimal Classification with Dyadic Decision Trees
10:30-11:00
Break
11:00-12:00
Michael Kirby (Colorado State University)
Dimensionality Reduction using Secant-based Projection Methods

Afternoon Session

12:00-14:00
Lunch (on your own)
14:00-15:00
Werner Stuetzle (University of Washington)
Estimation / Approximation Problems in 3D Photography
15:00-15:30
Break
Dependencies and Conditionalities in High Dimension
15:30-16:30
Michael Jordan (University of California, Berkeley (UC Berkeley))
Nonparametric characterizations of independence via reproducing kernel Hilbert spaces
16:30-16:45
Break
16:45-17:45
Carey Priebe (Johns Hopkins University)
On the role of the conditionality principle in dimensionality reduction
17:45-19:30
Dinner (Hosted by IPAM)
18:30-19:30
David Donoho (Stanford University)
Title not available

Thursday, October 28, 2004

Morning Session

08:30-09:30
Check-In/Light Breakfast (Hosted by IPAM)
Computational Applications in High Dimension
09:30-10:30
Leonidas Guibas (Stanford University)
Multiresolution Proximity Maintenance for Moving Objects
10:30-11:00
Break
11:00-12:00
Gerard Medioni (University of Southern California)
Data-Driven, Non-Parametric Inference of Multiple Structures in N-D using Tensor Voting

Afternoon Session

12:00-14:00
Lunch (on your own)
14:00-15:00
Michael Mahoney (Yahoo! Research)
Fast Monte Carlo Algorithms for Matrix Operations and Massive Data Set Analysis
Visualization
15:00-15:30
Break
15:30-16:30
Brad Paley (Digital Image Design Incorporated)
Visual and Cognitive Layering: using illustration/art techniques to differentiate
16:30-16:45
Break
16:45-17:45
Leland Wilkinson (Tableau)
Heatmaps

Friday, October 29, 2004

Morning Session

08:30-09:30
Check-In/Light Breakfast (Hosted by IPAM)
Computations and Simulations in High Dimension
09:30-10:30
Matthew Brand (Mitsubishi Electric Research Laboratories (Merl))
Extracting topology and exact isometry from the embedding graph
10:30-11:00
Break
11:00-12:00
Alexander Gray (Carnegie-Mellon University)
High-Dimensional Integration by Statistical Inference

Afternoon Session

12:00-14:00
Lunch (on your own)
Computational Topology and Manifold Learning
14:00-15:00
Vin de Silva (Stanford University)
Multiscale parameters in computational topology
15:00-15:30
Break
15:30-16:30
Hongyuan Zha (Pennsylvania State University)
Tangent Space Alignment for Manifold Learning
16:30-16:45
Conclusion
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