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* Lecture 9 : Dynamic Programming -- [[Media:Biostat615-Fall2011-lecture09-handout.pdf | (Handout PDF)]] [[Media:Biostat615-Fall2011-lecture09-presentation.pdf | (Presentation PDF)]]
 
* Lecture 9 : Dynamic Programming -- [[Media:Biostat615-Fall2011-lecture09-handout.pdf | (Handout PDF)]] [[Media:Biostat615-Fall2011-lecture09-presentation.pdf | (Presentation PDF)]]
 
* Review : Dynamic Programming & Midterm Review -- [[Media:Biostat615-Fall2011-midterm-2011-winter-.pdf | (PDF)]]
 
* Review : Dynamic Programming & Midterm Review -- [[Media:Biostat615-Fall2011-midterm-2011-winter-.pdf | (PDF)]]
* Lecture 10 : Hidden Markov Model-- [[Media:Biostat615-Fall2011-lecture10-handout.pdf | (PDF)]]  (UPDATED on Oct 25th at 11:10AM)
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* Lecture 10 : Hidden Markov Model-- [[Media:Biostat615-Fall2011-lecture10-handout.pdf | (PDF)]]  '''(UPDATED on Oct 29th at 12:51PM)'''
* Lecture 11 : Hidden Markov Model (cont'd) -- [[Media:Biostat615-lecture11-2011-10-20.pdf | (PDF)]] '''(UPDATED on Oct 25th at 11:24PM)'''
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* Lecture 11 : Hidden Markov Model (cont'd) -- [[Media:Biostat615-lecture11-2011-10-20.pdf | (PDF)]] '''(UPDATED on Oct 28th at 1:42PM)'''
 
* Lecture 12 : Boost Library & Random Numbers -- [[Media:Biostat615-lecture12-2011-10-25.pdf | (PDF)]]
 
* Lecture 12 : Boost Library & Random Numbers -- [[Media:Biostat615-lecture12-2011-10-25.pdf | (PDF)]]
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* Lecture 13 : Single dimensional optimization -- [[Media:Biostat615-lecture13-2011-10-27.pdf | (PDF)]]
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* Lecture 14 : Single and multi dimensional optimizations -- [[Media:Biostat615-fall2011-lecture14.pdf | (PDF)]] (Updated on Nov 3rd 1:25AM)
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* Lecture 15 : Multi dimensional optimizations -- [[Media:Biostat615-fall2011-lecture15.pdf | (PDF)]] (Updated Nov 8 10:35AM)
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* Lecture 16 : E-M algorithm -- [[Media:Biostat615-fall2011-lecture16.pdf | (PDF)]] (Updated Nov 8 10:35AM)
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* Lecture 17 : Simulated Annealing -- [[Media:Biostat615-fall2011-lecture17.pdf | (PDF)]]
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* Lecture 18 : Gibbs Sampling -- [[Media:Biostat615-fall2011-lecture18.pdf | (PDF)]] (Updated Nov 16 10:00PM)
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* Lecture 19 : Importace Sampling -- [[Media:Biostat615-fall2011-lecture19.pdf | (PDF)]]
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* Lecture 20 : Advanced Hidden Markov Models -- [[Media:Biostat615-fall2011-lecture20.pdf | (PDF)]]
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* Lecture 21 : Linear Algebra in C++ -- [[Media:Biostat615-fall2011-lecture21.pdf | (PDF)]]
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* Lecture 22 : More Linear Algebra in C++ -- [[Media:Biostat615-fall2011-lecture22.pdf | (PDF)]]
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* Lecture 23 : Interfacing between C++ and R -- [[Media:Biostat615-fall2011-lecture23.pdf | (PDF)]]
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* Review : Final Review -- [[Media:Biostat615-winter2011-final.pdf | (PDF)]] [[Media:Biostat615-homework-review.pdf | (Homework)]]
    
== Problem Sets ==
 
== Problem Sets ==
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* Problem Set 1 -- Due on Tuesday September 27th, 2011 [[Media:Biostat615-Fall2011-homework01.pdf | (PDF)]] [[Media:Biostat615-Fall2011-homework01-solutions.pdf | (PDF-SOLUTIONS)]]
 
* Problem Set 1 -- Due on Tuesday September 27th, 2011 [[Media:Biostat615-Fall2011-homework01.pdf | (PDF)]] [[Media:Biostat615-Fall2011-homework01-solutions.pdf | (PDF-SOLUTIONS)]]
 
* Problem Set 2 -- Due on Thursday October 6th, 2011 [[Media:Biostat615-Fall2011-homework02.pdf | (PDF)]] [[Media:Biostat615-Fall2011-homework02-solutions.pdf | (PDF-SOLUTIONS)]]
 
* Problem Set 2 -- Due on Thursday October 6th, 2011 [[Media:Biostat615-Fall2011-homework02.pdf | (PDF)]] [[Media:Biostat615-Fall2011-homework02-solutions.pdf | (PDF-SOLUTIONS)]]
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** (Update Oct 2, 2011 : Note that the problem 1 and 3 are slightly updated for clarification)
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** (If you can't decompress the files above properly, use this alternative link by [http://dl.dropbox.com/u/1850834/biostat615-homework02-datasets.tar.gz CLICKING HERE] )
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* Problem Set 3 -- Due on Tuesday November 1st, 2011 [[Media:Biostat615-homework03.pdf | (PDF)]] (UPDATED on Oct 25th at 11:10AM)
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* Problem Set 4 -- Due on Tuesday November 15th, 2011 [[Media:Biostat615-homework04.pdf | (PDF)]]
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* Problem Set 5 -- Due on Tuesday November 29th, 2011 [[Media:Biostat615-fall2011-homework05.pdf | (PDF)]]
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* Problem Set 6 -- Due on Tuesday December 13th, 2011 [[Media:Biostat615-fall2011-homework06.pdf | (PDF)]]
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** [http://www.sph.umich.edu/csg/abecasis/class/2006/ModelFittingData.txt DOWNLOAD DATA FOR PROBLEM 1]
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** [http://dl.dropbox.com/u/1850834/zip_01.zip DOWNLOAD DATA FOR PROBLEM 3]
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=== Supplementary Data sets for Problem Sets ===
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* Problem Set 2
 
** [[Media:Shuf-1M.txt.gz| (Example data - shuf-1M.txt.gz)]] 1,000,000 randomly shuffled data (gzipped)
 
** [[Media:Shuf-1M.txt.gz| (Example data - shuf-1M.txt.gz)]] 1,000,000 randomly shuffled data (gzipped)
 
** [[Media:Rand-1M-3digits.txt.gz| (Example data - Rand-1M-3digits.txt.gz)]] 1,000,000 random data from 1 to 1,000]] (gzipped)  
 
** [[Media:Rand-1M-3digits.txt.gz| (Example data - Rand-1M-3digits.txt.gz)]] 1,000,000 random data from 1 to 1,000]] (gzipped)  
 
** [[Media:Rand-50k.txt.gz | (Example data - Rand-50k.txt.gz)]] 50,000 random data from 1 to 1,000,000)]] (gzippd)
 
** [[Media:Rand-50k.txt.gz | (Example data - Rand-50k.txt.gz)]] 50,000 random data from 1 to 1,000,000)]] (gzippd)
** (Update Oct 2, 2011 : Note that the problem 1 and 3 are slightly updated for clarification)
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* Problem Set 3
** (If you can't decompress the files above properly, use this alternative link by [http://dl.dropbox.com/u/1850834/biostat615-homework02-datasets.tar.gz CLICKING HERE] )
  −
* Problem Set 3 -- Due on Tuesday November 1st, 2011 [[Media:Biostat615-homework03.pdf | (PDF)]] (UPDATED on Oct 25th at 11:10AM)
   
** Example output data for problem 3-1 (input is the second column) '''(NOTE : ADDED on Oct 25 11:45PM)''' -- This is also reflected in lecture 11 class note.
 
** Example output data for problem 3-1 (input is the second column) '''(NOTE : ADDED on Oct 25 11:45PM)''' -- This is also reflected in lecture 11 class note.
 
  TIME TOSS P(FAIR) P(BIAS) MLSTATE
 
  TIME TOSS P(FAIR) P(BIAS) MLSTATE
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  29 T 0.2136 0.0038 0.7826 TAIL-BASED
 
  29 T 0.2136 0.0038 0.7826 TAIL-BASED
 
  30 T 0.2561 0.0123 0.7317 TAIL-BASED
 
  30 T 0.2561 0.0123 0.7317 TAIL-BASED
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** Example input/output data for problem 3-3 (Applying 2-state HMM in Problem 3-1): Download using [http://dl.dropbox.com/u/1850834/biostat615-homework3-3-20k-examples.zip THIS LINK]
    
== Office Hours ==
 
== Office Hours ==

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