2013-14: LDHD: LDHD Summer School: August 11-16, 2013
Workshop Information
This summer school was held at the Radisson Hotel in Research Triangle Park, NC.
Recent technological advancements allow for the collection of higher dimensional data as well as data with more complicated structure. A fundamental problem is to identify low- dimensional structure in high-dimensional systems (LDHD). The challenges in addressing these problems are theoretical as well as computational and intersect with many application areas. This summer school gave students an overview of the fast growing area of LDHD, as a prelude to the year-long SAMSI program on LDHD.
The school covered existing theoretical and computational tools to analyze LDHD. The short courses were at the graduate level; they were aimed at advanced PhD students, postdocs, and faculty.
The titles, lecturers, and prerequisites for the courses:
1. Title: Topological and geometrical structures in data analysis
Lecturer: Vin de Silva
Prereqs: basic knowledge of analysis is assumed; some knowledge of topology is useful but not required
2. Title: Bayesian learning from big data
Lecturer: David Dunson
Prereqs: basic familiarity with the Bayesian paradigm (course is aimed at advanced graduate students, postdoctoral fellows, and faculty with expertise in statistics); recommended background reading: the initial chapters in "A First Course in Bayesian Statistical Methods", by Peter Hoff
3. Title: Population and familial structure in genetic association studies
Lecturer: Ann Lee
Prereqs: none specified
4. Title: Randomness in geometry and topology: finding order in the chaos
Lecturer: Elizabeth Meckes
Topics: topology of randomly constructed spaces; low-dimensional projections of high-dimensional distributions; random unitary matrices; probability and high- dimensional convex geometry
Prereqs: undergrad-level probability theory and matrix analysis
5. Title: Convex and nonconvex methods for high dimensional sparse estimation
Lecturer: Tong Zhang
Prereqs: prior exposure to sparsity and high dimensional statistics
6. Title: Genomics and high-dimensional optimization
Lecturer: Hua Zhou
Prereqs: interest in modern genomics, computation, or both
For additional information about the summer school, send e-mail to [email protected]
Directorate Liaison: Ezra Miller ([email protected])
Schedule
Sunday, August 11, 2013
Radisson RTP
| 9:00-9:30 a.m. | Registration and Continental Breakfast |
| 9:30-9:40 | Welcome |
| 9:40-10:40 | Vin de Silva, Pomona College Topological and Geometrical Structures in Data Analysis VIDEO |
| 11:05-12:30 | Elizabeth Meckes, Case Western University Randomness in Geometry and Topology: Finding Order in the Chaos VIDEO |
| 12:30-2:00 | Lunch (Galeria Restaurant, first floor) |
| 2:00-3:15 | Ann Lee, Carnegie Mellon University Population and Familial Structure in Genetic Association Studies VIDEO |
| 3:45-5:00 | Elizabeth Meckes, Case Western University Random Unitary Matrices and Friends VIDEO |
Monday, August 12, 2013
Radisson RTP
| 9:00-9:30 a.m. | Continental Breakfast |
| 9:30-10:45 | Ann Lee, Carnegie Mellon University Population and Familial Structure in Genetic Association Studies:Part 2 VIDEO |
| 11:00-12:15 | Elizabeth Meckes, Case Western University |
| 12:15-2:00 | Lunch (Room ABC, second floor) |
| 2:00-3:00 | Vin de Silva, Pomona College Topological and Geometrical Structures in Data Analysis VIDEO |
| 3:30-4:45 | Elizabeth Meckes, Case Western University |
| 5:00-6:30 | Poster Session and Reception SAMSI will provide poster presentation boards and tape. The board dimensions are 4 ft. wide by 3 ft. high. They are tri-fold with each side being 1 ft. wide and the center 2 ft. wide. Please make sure your poster fits the board. The boards can accommodate up to 16 pages of paper measuring 8.5 inches by 11 inches. |
Tuesday, August 13, 2013
Radisson RTP
| 9:00-9:30 a.m. | Continental Breakfast |
| 9:30-11:00 | David Dunson, Duke University Bayesian Learning from Big Data VIDEO |
| 11:30-12:30 | Vin de Silva, Pomona College Topological & Geometrical Structures in Data Analysis - Lecture 3 VIDEO |
| 12:30-1:30 | Box Lunches/Adjourn for the Day |
Wednesday, August 14, 2013
Radisson RTP
| 9:00-9:30 a.m. | Continental Breakfast |
| 9:30-11:00 | David Dunson, Duke University Sparse Bayesian factor models VIDEO |
| 11:30-12:30 | Vin de Silva, Pomona College Topological and Geometrical Structures in Data Analysis - Lecture 4 VIDEO |
| 12:30-2:00 | Lunch (Rooms ABC, second floor) |
| 2:00-3:00 | Vin de Silva, Pomona College Topological and Geometrical Structures in Data Analysis - Lecture 5 |
| 3:30-5:00 | David Dunson, Duke University Baysian factorizations of huge tensors |
Thursday, August 15, 2013
Radisson RTP
| 9:00-9:30 a.m. | Continental Breakfast |
| 9:30-10:45 | Hua Zhou, North Carolina State University Genomics and High-Dimensional Optimization VIDEO |
| 11:15-12:30 | Discussion |
| 12:30-2:00 | Lunch (Rooms ABC, second floor) |
| 2:00-3:15 | Tong Zhang, Rutgers University Sparse Regression (from low dimension to high dimension) VIDEO |
| 3:45-5:00 | Tong Zhang, Rutgers University Convex Relaxation Structured Sparsity and Matrix Regularization |
Friday, August 16, 2013
Radisson RTP
| 9:00-9:30 a.m. | Continental Breakfast |
| 9:30-10:45 | Tong Zhang, Rutgers University Convex Optimization |
| 11:15-12:30 | Hua Zhou, North Carolina State University VIDEO |
| 12:30-2:00 | Lunch (Rooms ABC, second floor) |
| 2:00-3:15 | Tong Zhang, Rutgers University Sparse Regression with Non-Convex Regularization |
| 3:45-5:00 | Discussion |
| 5:00 | Adjourn |