Random Matrices: Geometry, Random Matrices and Statistical Inference - January 16-19, 2007
Workshop Information
Geometry, Random matrices, and Statistical Inference was a workshop within the SAMSI program on High Dimensional Inference and Random Matrices. It was held January 16-19, 2007 at the NISS Building in Research Triangle Park, NC.
The four day workshop began the semester long focus on Geometry and Random Matrices. Both algorithms and the fundamental mathematical objects computed by the algorithms were stressed. This workshop was followed by a semester long working group on "Geometry, Random Matrices, and Statistical Inference."
The format of the workshop was two talks in the morning and one in the afternoon. All talks were one hour and there was considerable time for discussions.
The list of confirmed participants included: Sanjoy Dasgupta (University of California, San Diego), Vladimir Koltchinskii (Georgia Institute of Technology), Yoon Lee (Ohio State University), Guy Lebanon (Purdue University), Liza Levina (University of Michigan), Mauro Maggioni (Duke University), Yuriy Mileyko (Duke University), Partha Niyogi (University of Chicago), Tao Shi (Ohio State University), Jonathan Taylor (Stanford University)
Workshop Committee: Misha Belkin (The Ohio State University, Chair), Feng Liang (University of Illinois at Urbana-Champaign), Sayan Mukherjee (Local Scientific Coordinator), James Damon (SAMSI, Directorate Liaison).
Schedule
Tuesday, January 16, 2007 at SAMSI, Room 104
Geometry and Sparsity
| 8:45 | Carolina Livery will depart the Radisson for SAMSI If you miss the Carolina Livery shuttle, please see the hotel representatives at the front desk to have the Radisson shuttle bring you. |
| 9:00-9:30 | Registration and Continental Breakfast |
| 9:30-10:30 | Sparsity in High Dimensional Learning Problems Vladimir Koltchinskii, Georgia Institute of Technology |
| 10:30-11:00 | Break |
| 11:00-12:00 | Grouped and Hierarchical Selection through Composite Absolute Penalties (CAPs) Guilherme Rocha, University of California - Berkeley |
| 12:00-1:00 | Lunch |
| 1:00-2:00 | On Kernels, Energy and Metrics Steven Damelin, Georgia Southern University |
| 2:00 | Discussion Discussion Chair: Misha Belkin, Ohio State University |
| 3:00 | Carolina Livery will depart SAMSI for the Radisson |
Wednesday, January 17, 2007 at SAMSI, Room 104
Geometry and Topology
| 8:45 | Carolina Livery will depart the Radisson for SAMSI |
| 9:00-9:30 | Registration and Breakfast |
| 9:30-10:30 | Random Fields of Multivariate Test Statistics Jonathan Taylor, Stanford University |
| 10:30-11:00 | Break |
| 11:00-12:00 | The 3D Random Computed Tomography Structuring of Proteins and the Specral Non-Linear ICA Algorithm Amit Singer, Yale University |
| 12:00-1:00 | Lunch |
| 1:00-2:00 | Computing Homology of High-Dimensional Point Clouds Yuriy Mileyko, Duke University |
| 2:00-3:00 | A Probabalistic View and Fundamental Limitations of Spectral Clustering Boaz Nadler, Weizmann Inst. of Science |
| 3:00 | Carolina Livery will depart SAMSI for the Radisson |
Thursday, January 18, 2007 at SAMSI, Room 104
Machine Learning
| 8:45 | Carolina Livery will depart the Radisson for SAMSI |
| 9:00-9:30 | Registration and Continental Breakfast |
| 9:30-10:30 | A Geometric Perspective on Learning Partha Niyogi, University of Chicago |
| 10:30-11:00 | Break |
| 11:00-12:00 | Random Geometry and Statistical Translation in Text Analysis Guy Lebanon, Purdue University |
| 12:00-1:00 | Lunch |
| 1:00-2:00 | Projection Pursuit, Gaussian Scale Mixtures, and the EM Algorithm Sanjoy Dasgupta, University of California - San Diego |
| 2:00 | Discussion Discussion Chair: TBD |
| 3:00 | Carolina Livery will depart SAMSI for the Radisson |
Friday, January 19, 2007 at SAMSI, Room 104
Random Matrices and Covariances
| 8:45 | Carolina Livery will depart the Radisson for SAMSI |
| 9:00-9:30 | Registration and Continental Breakfast |
| 9:30-10:30 | Regularized Estimation of Large Covariance Matrices Liza Levina, University of Michigan |
| 10:30-11:00 | Break |
| 11:00-12:00 | Distributions for Random Positive Definite Matrices Armin Schwartzman, Harvard School of Public Health |
| 12:00-1:00 | Lunch |
| 1:00-2:00 | Multi-resolution Covariance Modelling in Spatial Random Effect Model Tao Shi, Ohio State University |
| 2:00 | Final Discussion Discussion Chair: Sayan Mukherjee, Duke University |
| 3:00 | Carolina Livery will depart SAMSI for the Airport |