PPT-Bilinear Games: Polynomial Time Algorithms for Rank Based S

Ruta Mehta Indian Institute of Technology Bombay Joint work with Jugal Garg and Albert X Jiang A Game RockPaperScissor RockPaperScissor A Play Winner 1 RockPaperScissor . In this handout we will cover the image of a set under a bilinear transformation 2 Image of a set Here we consider how to 64257nd the image of a given set which may be either a circle or a straight line An important property of bilinear maps is that We never rigorously de64257ned however what we meant by an algorithm or what it means for an algorithm to run in polynomial time This lack of a formal de64257nition doesnt matter much as long as we are coming up with descriptions of pr ocedures that . NP-Complete. CSE 680. Prof. Roger Crawfis. Polynomial Time. Most (but not all) of the algorithms we have studied so far are easy, in that they can be solved in polynomial time, be it linear, quadratic, cubic, etc.. C. asual . G. ame . D. evelopment. Windows Phone 7.5 “Mango”. Cloud-Backed Mobile Applications. XNA-free Game Development. MARQUEE SPONSOR. PLATINUM SPONSOR. PLATINUM SPONSOR. GOLD SPONSOR. GOLD SPONSOR. Lecture . 22. : . The P vs. NP question. , . NP-Completeness. Lauren Milne. Summer 2015. Admin. Homework 6 is posted. Due next Wednesday. No partners. Algorithm Design Techniques. Greedy. Shortest path, minimum spanning tree, …. P = . { computational problems that can be solved efficiently }. i.e., solved in time . ·. n. c. , for some constant . c. , where . n. =. input size. This is a bit vague. Consider an LP max { . c. T. Alexander . Veniaminovich. IM. , . room. . 3. 44. Friday. 1. 7. :00. or. Saturday 14:30. Approximation. . algorithms. . 2. We will study. . NP. -. hard optimization problem. 3. What you should know. The Problem. 2. Given a very long reference sequence of length . n. and given several short strings (reads) of length . m. each, . m << n. Find the best matching location for each read in the reference. Algorithms. and Networks 2015/2016. Hans L. . Bodlaender. Johan M. M. van Rooij. TexPoint fonts used in EMF. . Read the TexPoint manual before you delete this box.: . A. A. A. A. A. A. A. A. A. A. What to do if a problem is. finding the maximum of a set S of n numbers . Time complexity:. Calculation of T(n):. . Assume n = 2. k. , . T(n) = 2T(n/2)+1. = 2(2T(n/4)+1)+1. = 4T(n/4)+2+1. :. =2. k-1. T(2)+2. (a brief introduction to theoretical computer science). slides by Vincent Conitzer. Set Cover . (a . computational problem. ). We are given:. A finite set S = {1, …, n}. A collection of subsets of S: S. Clint Jeffery. University of Idaho. Outline. Preliminary thoughts. AIGPW Chapters. EvoGames. Papers. Conclusions. Preliminary Thoughts. ANN and related technologies are rare in commercial games. Behavior of ANN-based agents often perceived as bizarre or unrealistic. Introduction. Minimum-Mean Cycle Canceling . Algorithm. Repeated Capacity Scaling . Algorithm. Enhanced Capacity Scaling. Algorithm. Summary. Minimum Cost Flow Problem –. Strongly Polynomial Algorithms. Big O. Thanks to George . Bebis. , . Sartaj. K . Sahni. , Costas Busch, Peter . Andras. Last time. Introduction to class. Exercises. Exam. Project. Search engine use continues to grow. Impact on society still now well understood.