PPT-Latent Tree Models Part II: Definition and Properties

Nevin L Zhang Dept of Computer Science amp Engineering The Hong Kong Univ of Sci amp Tech httpwwwcseusthklzhang AAAI 2014 Tutorial Part II Concept and Properties Latent Tree . Machine Learning. Last Time. Expectation Maximization. Gaussian Mixture Models. Today. EM Proof. Jensen’s Inequality. Clustering sequential data. EM over . HMMs. EM in any Graphical Model. Gibbs Sampling. Latent Classes. A population contains a mixture of individuals of different types (classes). Common form of the data generating mechanism within the classes. Observed outcome y is governed by the . common process . Harvey Goldstein. Centre for Multilevel Modelling. University of Bristol. The (multilevel) binary . probit. model. . Suppose . that we have a variance components 2-level model for . an . underlying continuous variable written as . Presented by Zhou Yu. TexPoint fonts used in EMF. . Read the TexPoint manual before you delete this box.: . A. A. A. A. A. A. M.Pawan. Kumar Ben Packer Daphne . Koller. , Stanford University. 1. Aim: . Peter Congdon, Queen Mary University of London, School of Geography & Life Sciences Institute. Outline. Background. Bayesian approaches: advantages/cautions. Bayesian Computing, Illustrative . BUGS model, Normal Linear . Part II: Definition and Properties. Nevin. L. Zhang. Dept. of Computer Science & Engineering. The Hong Kong Univ. of Sci. & Tech.. http://www.cse.ust.hk/~lzhang. AAAI 2014 Tutorial. Part II: Concept . A Practically Fast Solution for . an . NP-hard Problem. Xu. Sun (. 孫 栩. ). University of Tokyo. 2010.06.16. Latent dynamics workshop 2010. Outline. Introduction. Related Work & Motivations. Our proposals. Latent Growth Models. Brad Verhulst & . Lindon. Eaves. Two Broad Categories of Developmental Models. Autoregressive Models: . The things that happened yesterday affect what happens today, which affect what happens tomorrow. Nevin. L. Zhang. Dept. of Computer Science & Engineering. The Hong Kong Univ. of Sci. & Tech.. http://www.cse.ust.hk/~lzhang. AAAI 2014 Tutorial. HKUST. 2014. HKUST. 1988. Latent Tree Models. Day 1 Part 3: Ensembles. Sam Buttrey. December 2015. Combining Models. Models can be combined in different ways. “Ensembles” refers specifically to combining large sets of large classifiers built with randomness applied to data or classifier. Latent Classes. A population contains a mixture of individuals of different types (classes). Common form of the data generating mechanism within the classes. Observed outcome y is governed by the . common process . Trang Quynh Nguyen, May 9, 2016. 410.686.01 Advanced Quantitative Methods in the Social and Behavioral Sciences: A Practical Introduction. Objectives. Provide a QUICK introduction to latent class models and finite mixture modeling, with examples. Nevin. L. Zhang. Dept. of Computer Science & Engineering. The Hong Kong Univ. of Sci. & Tech.. http://www.cse.ust.hk/~lzhang. AAAI 2014 Tutorial. What can LTA be used for:. Discovery of co-occurrence patterns in binary data. Nisheeth. Coin toss example. Say you toss a coin N times. You want to figure out its bias. Bayesian approach. Find the generative model. Each toss ~ Bern(. θ. ). θ. ~ Beta(. α. ,. β. ). Draw the generative model in plate notation.