Lecture |
Topics |
Complementary
Readings |
Assigned
Readings |
Jan 7 |
Course overview |
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Jan 12 |
basics of probabilities and
statistics |
[RN Chapt 13] [GCSR Chapt 1] |
|
Jan 14 |
Bayesian networks, exact
inference lecture slides |
[RN Chapt 14] |
|
Jan 19 |
lecture canceled |
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Jan 21 |
lecture canceled |
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Jan 26 |
Approximate inference (Monte Carlo techniques) | [GCSR Chapt 11] [RN Sect 14.5] David MacKay, 1998, An introduction to Monte Carlo Methods |
|
Jan 28 |
Statistical learning (Bayesian
learning, maximum likelihood, maximum a posteriori hypothesis) lecture slides |
[RN Sect 20.1-3] |
|
Feb 2 |
Single parameter models,
conjugate priors |
[GCSR Chapt 2] |
David
Heckerman, A
Tutorial on Learning with Bayesian Networks Presenters: Sergey Savinov, Sevag G. Gharibian, Tuong (Teresa) Luu |
Feb 4 |
Informative/non-informative
priors |
[GCSR Chapt 2] |
|
Feb 9 |
Multi-parameter models |
[GCSR Chapt 3] |
Bernardinelli, Clayton and
Montomoli (1995) Bayesian estimates of disease maps: how important are
priors? Statistics in Medicine 14, 2411--2431 (not available online,
get it
from the library) Presenters: Denis Ho Bun Yuen, Bo Wang and Ruitong Huang |
Feb 11 |
Hierarchical models |
[GCSR Chapt 5] |
|
Feb 16 |
reading break |
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Feb 18 |
reading break |
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Feb 23 |
Exponential class, MCMC
(Metropolis-Hastings) |
Piotr Gmytrasiewicz and Prashant
Doshi, "A
Framework for Sequential Planning in Multiagent Settings", in
Journal of AI Research (JAIR), Vol 24: 49-79, 2005 Presenters: John Champaign, Thomas Reidemeister, Igor Pavlovitch Kiselev and Lachlan Thomas Dufton |
|
Feb 25 |
Exchangeability, mixture models,
Bayesian clustering |
Project proposal due |
|
Mar 2 |
Dirichlet process (aka the Chinese restaurant process) | Ranganathan, 2004, The
Dirichlet Process Mixture (DPM) Model |
DM Blei, AY Ng, MI Jordan, Latent
Dirichlet Allocation, Journal of Machine Learning Research, 2003. Presenters: Ahmad Alyoubi, Ting Liu |
Mar 4 |
Hierarchical Dirichlet process
(aka the Chinese restaurant franchise) |
Michael Jordan's talk on Dirichlets
Processes |
|
Mar 9 |
Pitman-Yor process |
YW Teh, MI Jordan, MJ Beal, DM
Blei, Hierarchical
Dirichlet Processes Presenters: Jakub Michal Truszkowski, Hussein Abdul Hirjee, Krzysztof Borowski and Babak Alipanahi Ramandi |
|
Mar 11 |
Beta process (aka the Indian
buffet process) |
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Mar 16 |
Gaussian process |
[RW Chapt 1] |
Hierarchical
Bayesian nonparametric models with applications.
Y. W. Teh and M. I. Jordan.
In N. Hjort, C. Holmes, P. Mueller, and S. Walker (Eds.), Bayesian
Nonparametrics in Practice, Cambridge, UK: Cambridge University
Press, to appear. Presenters: Mohammad Yousef Akhavein Sohrabi, Mazen Melibari, Jeff Pound |
Mar 18 |
Regression with Gaussian
processes |
[RW Chapt 2] |
|
Mar 23 |
Classification with Gaussian
processes |
[RW Chapt 3] |
Y. Engel, P. Szabo,
and D. Volkinshtein. Learning
to control an octopus arm with Gaussian process temporal difference
methods.
In Yair Weiss, Bernhard Schölkopf, and John C. Platt,
editors, Advances in Neural Information Processing Systems 18,
pages 347-354, Cambridge, MA, U.S.A., 2006. The MIT Press. Presenters: Stephane Bonardi, Hiren Patel and Kush Patel |
Mar 25 |
Classification with Gaussian
processes |
[RW Chapt 3] |
|
Mar 30 |
Covariance functions for
Gaussian processes |
[RW Chapt 4] |
A. Kapoor, K. Grauman,
R. Urtasun, and T. Darell. Active
learning with Gaussian processes for object categorization.
In Proceedings of the International Conference in Cmputer Vision,
2007. Presenters: Prashant Gaharwar and Yichuan Tang |
Apr 1 |
Model selection for Gaussian processes | [RW Chapt 5] |
|
Apr 6 |
Relation between Gaussian
processes and other models (e.g., support vector machines) |
[RW Chapt 6] |
P. Sollich. Bayesian
methods for support vector machines: Evidence and predictive class
probabilities. Machine Learning, 46(1-3):21-52, 2002. Presenters: Ying Liu and Francisco Claude |
Apr 8 |
Relation between Gaussian processes and other models (e.g., support vector machines) | [RW Chapt 6] |