PPT-M343 Tutorial 2 Random Walks and Markov Chains

Random Walks Consider a particle moving along a line where it can move one unit to the right with probability p and it can move one unit to the left with probability q where p q 1 then the particle is executing a random walk. The fundamental condition required is that for each pair of states ij the longrun rate at which the chain makes a transition from state to state equals the longrun rate at which the chain makes a transition from state to state ij ji 11 Twosided stat Nimantha . Thushan. Baranasuriya. Girisha. . Durrel. De Silva. Rahul . Singhal. Karthik. . Yadati. Ziling. . Zhou. Outline. Random Walks. Markov Chains. Applications. 2SAT. 3SAT. Card Shuffling. the Volume of Convex Bodies. By Group 7. The Problem Definition. The main result of the paper is a randomized algorithm for finding an approximation to the volume of a convex body . ĸ. in . n. -dimensional Euclidean space. Part 4. The Story so far …. Def:. Markov Chain: collection of states together with a matrix of probabilities called transition matrix (. p. ij. ) where . p. ij. indicates the probability of switching from state S. A Preliminary . Investigation. By Andres Calderon Jaramillo. Mentor - Larry Lucas, Ph.D.. University of Central Oklahoma. Presentation Outline. Project description and literature review.. Musical background.. for Data Analysis. . Dima. . Volchenkov . (Bielefeld University). Discrete and Continuous Models in the Theory of Networks. Data come to us in a form of data tables:. Binary relations:. Data come to us in a form of data tables:. on graphs and databases. . Dima. . Volchenkov . (. MatheMACS. , . UniBielefeld. ). May 22, 2013 — A full . 90%. of all the data in the world has been generated over the . last two years. . . Data rendering. Markov Models. A. AAA. : 10%. A. AAC. : 15%. A. AAG. : 40%. A. AAT. : 35%. AAA. AAC. AAG. AAT. ACA. . . .. TTG. TTT. Training. Set. Building the model. How to find foreign genes?. Markov Models. . (part 2). 1. Haim Kaplan and Uri Zwick. Algorithms in Action. Tel Aviv University. Last updated: April . 18. . 2016. Reversible Markov chain. 2. A . distribution . is reversible . for a Markov chain if. (part 1). 1. Haim Kaplan and Uri Zwick. Algorithms in Action. Tel Aviv University. Last updated: April . 15 . 2016. (Finite, Discrete time) Markov chain. 2. A sequence . of random variables.  . Each . regular Or Ergodic?. Absorbing state: A state in a . Markov . chain . that . you . cannot . leave, . i.e. . p. ii. = 1. . Absorbing . Markov chain. : . if it has at least one absorbing state and it is possible to reach that absorbing state from any other state. . Markov Chains Seminar, 9.11.2016. Tomer Haimovich. Outline. Gambler’s Ruin. Coupon Collecting. Hypercubes and the . Ehrenfest. Urn Model. Random Walks on Groups. Random Walks on .  . Gambler’s Ruin. . CS6800. Markov Chain :. a process with a finite number of states (or outcomes, or events) in which the probability of being in a particular state at step n + 1 depends only on the state occupied at step n.. “Data is the oil of the new age”. “Data is the oil of the new age”. but, just like oil,. “unrefined data cannot really be used”. “Data is the oil of the new age”. but, just like oil,.