PPT-Maximum Likelihood-Maximum Entropy Duality

Session 1 Pushpak Bhattacharyya Scribed by Aditya Joshi Presented in NLPAI talk on 14 th January 2014 PhenomenonEvent could be a linguistic process such as POS tagging or sentiment prediction. How would we select parameters in the limiting case where we had . ALL. the data? .  . k. . →. l . k. . →. l . . S. l. ’ . k→ l’ . Intuitively, the . actual frequencies . of all the transitions would best describe the parameters we seek . : Session 1. Pushpak Bhattacharyya. Scribed by . Aditya. Joshi. Presented in NLP-AI talk on 14. th. January, 2015. Phenomenon/Event could be a linguistic process such as POS tagging or sentiment prediction.. See Davison Ch. 4 for background and a more thorough discussion.. Sometimes. See last slide for copyright information. Maximum Likelihood. Sometimes. Close your eyes and differentiate?. Simulate Some Data: True α=2, β=3. Alan Ritter. rittera@cs.cmu.edu. 1. Parameter Estimation. How to . estimate parameters . from data?. 2. Maximum Likelihood Principle:. Choose the parameters that maximize the probability of the observed data. (Exercises 1-6 in section 17.5). Problem: . Time-consuming picking 1. st. -arrival traveltimes . and inverting.. Solution. : Early arrival waveform inversion (EWI). New Problem: . Estimate wavelet, edit traces, trial&error . b. -values for Three Different Tectonic Regimes. Christine . Gammans. What is the . b. -value and why do we care?. Earthquake occurrence per magnitude follows a power law introduced by Ishimoto and Iida (1939) and Guten. Selection of Training Areas. DN’s of training fields plotted on a “scatter” diagram in two-dimensional feature space. Band 1. Band 2. from. Lillesand & Kiefer. Classification Algorithms/Decision Rules. Learning Probabilistic Models. Motivation. Past lectures have studied how to infer characteristics of a distribution, given a fully-specified Bayes net. Next few lectures: . where does the Bayes net come from. Sometimes. See last slide for copyright information. Maximum Likelihood. Sometimes. Close your eyes and differentiate?. Simulate Some Data: True α=2, β=3. Alternatives for getting the data into D might be. Motivation. Past lectures have studied how to infer characteristics of a distribution, given a fully-specified Bayes net. Next few lectures: . where does the Bayes net come from. ?. Win?. Strength. Opponent Strength. Syllabus. Lecture 01 Describing Inverse Problems. Lecture 02 Probability and Measurement Error, Part 1. Lecture 03 Probability and Measurement Error, Part 2 . Lecture 04 The L. 2. Norm and Simple Least Squares. Sjors . H.W. Scheres. EMBO course . 2019. Birkbeck. College, London. Agenda. An intuitive introduction. Alignment. Dealing with the incomplete problem. maxCC. . vs. ML (real-space). Classification. Le Gal F, Gault E, Ripault M, Serpaggi J, Trinchet J, Gordien E, et al. Eighth Major Clade for Hepatitis Delta Virus. Emerg Infect Dis. 2006;12(9):1447-1450. https://doi.org/10.3201/eid1209.060112. Brown MA, Troyer JL, Pecon-Slattery J, Roelke ME, O’Brien SJ. Genetics and Pathogenesis of Feline Infectious Peritonitis Virus. Emerg Infect Dis. 2009;15(9):1445-1452. https://doi.org/10.3201/eid1509.081573.