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Courses
Spring 2017
STA613/CBB540: Statistical methods in computational biology
STA230: Probability
Undergraduate
Sta561/CompSci571: Probabilistic Machine Learning
Fall 2015
Sta 113- Probability/Statistics in engineering
Fall 2006, 2007, 2008, 2009
Introduction to probability, independence, conditional independence,
and Bayes' theorem. Discrete and continuous, univariate and
multivariate distributions. Linear and nonlinear transformations of
random variables. Classical and Bayesian inference, decision theory,
and comparison of hypotheses. Experimental design, statistical
quality control, and other applications in engineering.
Sta 114/Math 136- Statistical inference
Spring 2008
An introduction to the concepts, theory, and application of
statistical inference, including the structure of statistical
problems, probability modeling, data analysis and statistical
computing, and linear regression. Inference from the viewpoint of
Bayesian statistics, with some discussion of sampling theory methods
and comparative inference. Applications to problems in various fields.
Sta 180S- Statistical Methods in Bioinformatics
Spring 2009
Explore statistical models and analytical tools for bioinformatics
and genomics. Topics include functional inference for DNA, RNA, and
protein sequences, and the analysis of genetic pedigrees, gene
expression experiments, and families of molecular sequences and structures.
Graduate
Sta561/CompSci571: Probabilistic Machine Learning
Fall 2015
STA 571 COMPSI571- Probabilistic Machine Learning
Fall 2014
Introduction to concepts in probabilistic machine learning with a focus on discriminative and hierarchical generative models. Topics include directed and undirected graphical models, kernel methods, exact and approximate parameter estimation methods, and structure learning.
STA 205- Probability and measure theory
Fall 2009
This is a course about random variables, especially about their
convergence and conditional expectations, providing an introduction
to the foundations of modern Bayesian statistical inference. Students
are expected to know real analysis at the level of W. Rudin's
Principles of Mathematical Analysis or M. Reed's Fundamental
Ideas of Analysis--- the topology of, convergence in metric
spaces (especially uniform convergence of functions on),
infinite series, countable and uncountable sets, compactness and
convexity, and so forth. Students without this background should
take or at least co-register with Duke's Math 203, Basic Analysis I.
More advanced mathematical topics from real analysis, including parts
of measure theory, Fourier and functional analysis, are introduced
as needed to support a deep understanding of probability and its
applications. Topics of later interest in statistics (e.g.,
regular conditional density functions) are given special emphasis.
CBB 240/STA 270- Statistical methods in computational biology
Spring 2006, 2007, 2009, 2010, 2012
Methods of statistical inference and stochastic modeling with
application to functional genomics and computational molecular
biology. Topics include: statistical theory underlying sequence
analysis and database searching; Markov models; elements of Bayesian
and likelihood inference; multivariate high-dimensional regression
models, applied linear regression analysis; discrete data models;
multivariate data decomposition methods (PCA, clustering,
multi-dimensional scaling); software tools for statistical computing.
Topics in probability: random graphs and statistical inference
Fall 2007
Probabilistic and statistical aspects of random graphs. Specifically
structure of random graphs and statistical inference on graphs.