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Lec1_IntroNPC

Lec1_IntroNPC - COT 6936 Topics in Algorithms Giri...

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Unformatted text preview: COT 6936: Topics in Algorithms Giri Narasimhan ECS 254A / EC 2443; Phone: x3748 [email protected] http://www.cs.fiu.edu/~giri/teach/COT6936_S12.html https://online.cis.fiu.edu/portal/course/view.php?id= XXX Purpose of this class • First course in algorithms is inadequate preparation for most PhD students – Learn standard techniques – Solve standard problems – Learn basic analysis techniques – Need to go beyond that! • This course – Model/formalize a problem – Leverage existing solutions – Create your own solutions 1/9/12 COT 6936 2 Expectations • Attend class • Do required reading before class • Participate in class discussions • Team work; discussion groups • Solve practical research problems • Make a presentation; write a report – need a research component; may implement • Write research paper • No cell phones, SMS, or email during class 1/9/12 COT 6936 3 1/9/12 COT 6936 4 Evaluation • Exam (1) 20% • Quizzes 5% • Homework Assignments 15% • Semester Project 40% • Class Participation 20% Semester Project & Exam Schedule • Milestones: – By Jan 23: Meet with me and discuss project – By Jan 30: Send me email with project team information and topic – Feb 20 : Short presentation giving intro to project, problem definition, notation, and background – March 5 : Take-home Exam – April 16, 23 : Final presentation of project – April 24 : Written report on project 1/9/12 COT 6936 5 1/9/12 COT 6936 6 Why should I care about Algorithms ? Cartoon from Intractability by Garey and Johnson 1/9/12 COT 6936 7 Why are theoretical results useful? Cartoon from Intractability by Garey and Johnson 1/9/12 COT 6936 8 Why are theoretical results useful? Cartoon from Intractability by Garey and Johnson What if efFcient algorithms don ’ t exist • Find good approximation algorithms – Quality of the solution is guaranteed • Find good heuristic algorithms • Understand nature of inputs in practice • Perform many experiments after implementing 1/9/12 COT 6936 9 1/9/12 COT 6936 10 If you like Algorithms, nothing to worry about! Classical (Theoretical) Algorithmic Model • Input-output description provided • Input provided & stored in memory • Output computed & stored or output immediately • Entire program stored in memory • Algebraic Computation-Tree Model ( Variants : indirection, floor function, square root) • Space (?) and time (?) efficiency • Deterministic and Sequential algorithms • Worst-case analysis • No other factors to consider 1/9/12 COT 6936 11 Find a “ good ” student • Director of SCIS says to you: “ Find me a good CS student. ” • You ask: “ What do you mean by good ? ” • Director says: “ S/he must be at least as good as at least half of our current students. ” 1/9/12 COT 6936 12 Naïve Solution • Solution 1 – Email (or contact or inspect) N / 2 + 1 students and pick best among them – Too inefficient • Solution 2 – Pick a random student – May be wrong...
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Lec1_IntroNPC - COT 6936 Topics in Algorithms Giri...

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