STAT 578

Spring 2015

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Credit: 4 hours.

May be repeated if topics vary. Prerequisite: Consent of instructor.

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CRN Type Section Time Day Location Instructor Section Details
36204
Lecture-Discussion
A1
12:30PM -1:50PM
TR
260 Everitt Laboratory
Chen, X
Part of Term:
1
Date Range:
01/20/15-05/06/15
Section Title:
High-Dimensional Prob & Stats
Section Info:
This course is aimed to provide a nonasymptotic theory to study functions of many independent random variables. The focus is to develop a set of probability tools that are useful for investigating the random structures in high-dimension and their applications in various problems in statistics, machine learning and theoretical computer science. Tentative topics that may depend on the audience interest and time permission include: random matrices, concentration of measure, martingale method, dimension-free functional inequalities and entropy method (Poincare, log-Sobolev, Herbst argument), transportation method (Talagrand's inequalities), isoperimetry, Markov semigroups, Gaussian process, reproducing kernel Hilbert space, suprema of random process. Selected applications such as spectrum of random matrices, sparse linear regression, matrix estimation, graphical models and multiple testing will be discussed. Restricted to Statistics Graduate Students until Dec 1, 2014.
Restriction(s):
Restricted to Graduate - Urbana-Champaign.
45000
Lecture-Discussion
B1
2:00PM -2:50PM
MWF
205 Gregory Hall
Li, B
Part of Term:
1
Date Range:
01/20/15-05/06/15
Section Title:
Spatial Data Analysis
Section Info:
The course will introduce the fundamental methods and principles of spatial data analysis. Both traditional approaches and new developments will be considered and discussed, and relevant R packages and functions will be illustrated. Specifically, we will emphasize on geostatistical data which will cover kriging, spatial/spatio-temporal covariance modeling, large data computation and case studies, but we will also cover the modeling of lattice data and point patterns. Restricted to Statistics Graduate Students until Dec 1, 2014.
Restriction(s):
Restricted to Graduate - Urbana-Champaign.
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