PPT-Dual Decomposition Inference for Graphical Models over Strings

Nanyun Violet Peng Ryan Cotterell Jason Eisner J ohns Hopkins University 1 Attention Dont care about phonology Listen anyway This is a general method for inferring strings. 20 1027200 1048830 1054860 1081860 1126920 1137390 1180200 1192470 1229340 1282710 O7 826440 864840 882600 896730 922290 947580 976770 1005900 1035120 1126920 1204380 O6 612540 672960 717120 717120 719850 750720 754770 754770 797670 873510 918030 O5 Stable and Unstable Substances. Stable in Chemistry means . unreactive. in the conditions stated.. Unstable means reactive in the conditions stated.. . Thermal Decomposition. When 2 elements combine to form a compound, the product requires heat energy for the elements to be reformed.. Algorithms for Efficient. Large Margin . Structured Prediction. Ming-Wei Chang . and Scott Wen-tau Yih. Microsoft Research. 1. Motivation. . Many NLP tasks are structured. Parsing, Coreference, Chunking, SRL, Summarization, Machine translation, Entity Linking,…. J. Friedman, T. Hastie, R. . Tibshirani. Biostatistics, 2008. Presented by . Minhua. Chen. 1. Motivation. Mathematical Model. Mathematical Tools. Graphical LASSO. Related papers. 2. Outline. Motivation. Rahul Sharma and Alex Aiken (Stanford University). 1. Randomized Search. x. = . i. ;. y = j;. while . y!=0 . do. . x = x-1;. . y = y-1;. if( . i. ==j ). assert x==0. No!. Yes!.  . 2. Invariants. Chapter 14 . The pinhole camera. Structure. Pinhole camera model. Three geometric problems. Homogeneous coordinates. Solving the problems. Exterior orientation problem. Camera calibration. 3D reconstruction. (Markov Nets). (Slides from Sam . Roweis. ). Connection to MCMC:. . . MCMC requires sampling a node given its . markov. blanket. . Need to use P(. x|MB. (x)). . . For . Bayes. nets MB(x) contains more. Source: “Topic models”, David . Blei. , MLSS ‘09. Topic modeling - Motivation. Discover topics from a corpus . Model connections between topics . Model the evolution of topics over time . Image annotation. Parallel Processing (CS453) . . How . does one decompose a task into various subtasks? . . While there is no single recipe that works for all problems, we present a set of commonly used techniques that apply to broad classes of problems. These include: . Andy Wang. Object Oriented Programming in C++. COP 3330. C-style Strings. C-string is a null-terminated array of type char. No built-in string type in C. Must be char arrays. NOT every char array is a C-string, only null-terminated ones. Pamela Stewart. Central Magnet School. Mentor: Someone Fabulous. Decomposition timeline . Decomposition – the process of decay. Insect Activity begins typically around …... Scavenger activity begins typically around …... Generalized covariance matrices and their inverses. Menglong Li. Ph.d. of Industrial Engineering. Dec 1. st. 2016. Outline. Recap: Gaussian graphical model. Extend to general graphical model. Model setting. J. Friedman, T. Hastie, R. . Tibshirani. Biostatistics, 2008. Presented by . Minhua. Chen. 1. Motivation. Mathematical Model. Mathematical Tools. Graphical LASSO. Related papers. 2. Outline. Motivation. Comparison of Strategies for Scalable Causal Discovery of Latent Variable Models from Mixed Data Vineet Raghu , Joseph D. Ramsey, Alison Morris, Dimitrios V. Manatakis, Peter Spirtes, Panos K. Chrysanthis, Clark Glymour, and Panayiotis V. Benos