stochastic processes(2). Dr. Adil Yousif. Lecture 6. Cat and Mouse. Five Boxes [1,2,3,4,5] Cat starts in box 1, mouse starts in box 5 Each turn each animal can move left or right, (randomly) If they occupy the same box, game over (for the mouse anyway). 5 box cat and mouse game. States:.

ByQuery Suggestion Using Hitting Time. Qiaozhu Mei † , Dengyong Zhou ‡ , Kenneth Church ‡ † University of Illinois at Urbana-Champaign ‡ Microsoft Research, Redmond. Motivating Examples. Sports center. MSG. 1. Difficult for a user to express information need

ByRumors , consensus and epidemics on networks. J. Ganesh University of Bristol. Rumor spreading. Population of size n One person knows a rumor at time 0 Time is discrete In each time step, each person who knows the rumor chooses another person at random and informs them of it

By3.6 First Passage Time Distribution. 劉彥君. Introduction. In this section, we work only with Brownian motion, the continuous-time counterpart of the symmetric random walk. We begin here with a martingale containing Brownian motion in the exponential function.

ByCorporate Financing and Market Efficiency. Where to get money for good projects. Today’s plan. Review WACC Investment Decision vs. Financing Decision Does the stock price follow a random walk? Three forms of Market Efficiency Weak form efficiency Semi-strong form efficiency

ByMobile Agent Rendezvous P roblem in a Ring. Roberta Capuano,Vikas Kumar Jha. AGENDA. The renzezvous dilemma Definitions Mobile agent in rendezvous in a ring Rendezvous asymmetry Rendezvous symmetry How to break symmetry ? Algorithms Conclusion References.

ByDonsker Theorem and its application. Vadym Omelchenko. Definition. Donsker Theorem. Proof. Proof. Proof. Proof. Proof. Proof of the tightness. Proof (Proof of the Lemma). Proof (Proof of the Lemma). Proof (Proof of the Lemma).

ByNon Unitary Random Walks. Philippe Jacquet INRIA-Polytechnique. In 1976…. Cadillac produced its last dinosaur…. Philippe was in INRIA for his first job creating the Algorithm project. Black Hole information loss paradox. Hawking’s information loss paradox claim (1976)

ByPeer-to-Peer Networks. Overlay Network. A logical network laid on top of the Internet. Logical link AB. Logical link BC. B. A. C. Internet. The Formal Model. Let V be a set of nodes. The functions id : V Z+ assigns a unique id to each node in V

ByTime series analysis. Example. Objectives of time series analysis. Classical decomposition: An example. Transformed data. Trend. Residuals. Trend and seasonal variation. Objectives of time series analysis. Unemployment data. Trend. Trend plus seasonal variation.

ByLink Analysis and spam. Slides adapted from Information Retrieval and Web Search, Stanford University, Christopher Manning and Prabhakar Raghavan CS345A, Winter 2009: Data Mining. Stanford University, Anand Rajaraman, Jeffrey D. Ullman. Query processing.

ByAdvanced Time Series. PS 791C. Advanced Time Series Techniques. A number of topics come under the general heading of “state-of-the-art” time series Unit Root tests Granger Causality Vector Autoregression Models Error Correction Models Co-Integration Models Fractional Integration.

ByEquilibrium Restricted Solid-on-Solid Models with Constraints on the Growth of Extremal heights. Yup Kim, Sooyeon Yoon Kyunghee University Hyunggyu Park Inha University. 1. Abstract

ByExchange Rates. Dr. Antony Mueller The Continental Economics Institute www.continentaleconomics.com. Types of exchange rates. Exchange rate is the price of one currency in terms of another currency $/Peso or Peso/$

ByMeeting report. NTU CSIE Adviser ： Prof. Jane Hsu Speaker ： Wen-Chieh Fang 2005/09/21. Agenda. Simulation Scenario Behavior-based Reactive Paradigm Problem description Robot model Random walk Coordination Area bounding Emergency detecting Demo Summary and future work.

ByStat 35b: Introduction to Probability with Applications to Poker Outline for the day: Ballot theorem, ch. 7.6. Chip proportions and induction. Theorem 7.6.8. Project B tournaments. Homework 4, Stat 35, due March 14 in class. 6.12, 7.2, 7.8, 7.14.

ByStochastic Differential Equations SDE. Peyman Givi Department of Mechanical Engineering and Mater ials Science University of Pittsburgh October, 2009. Objective. To predict and understand of Stochastic Process, or sometimes Random Process. Numerical solution . Random Process:.

ByAdvanced Time Series. PS 791C. Advanced Time Series Techniques. A number of topics come under the general heading of “state-of-the-art” time series Unit Root tests Granger Causality Vector Autoregression Models Error Correction Models Co-Integration Models Fractional Integration.

ByFama, Eugene. (1980). “Agency Problems and the Theory of the Firm,” The Journal of Political Economy 88(2): 288-307. Illini #1. The firm is viewed as a team or a nexus of contracts. Group 3: Jason Franken Prasanna Karhade Hsiao-Ching Lee Jennifer Shen Marko Madunic.

ByRecommendation in Social Networks. Mohsen Jamali , Martin Ester Simon Fraser University Vancouver, Canada. UBC Data Mining Lab October 2010. Outline. Introduction Collaborative Filtering Social Recommendation Evaluating Recommenders TrustWalker SocialMF Conclusion. Outline.

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