PPT-The Complexity of Algorithms:

Selected Exercises Goal Introduce computational complexity analysis Copyright Peter Cappello 2 2 Exercise 10 How much time does an algorithm take for a problem of size n if it uses . Rahul. . Santhanam. University of Edinburgh. Plan of the Talk. Preliminaries and Motivation. Informational Bottlenecks: Proof Complexity and Related Models. Computational Bottlenecks: OPP and Compression. Keyang. He. Discrete Mathematics. Basic Concepts. Algorithm . – . a . specific set of instructions for carrying out a procedure or solving a problem, usually with the requirement that the procedure terminate at some point. Nitzan. . Weissman. 1. Overview. What is a streaming algorithm?. Data stream algorithms:. Finding Maximum. Counting distinct elements. Graph Stream algorithms:. Insert-only streams- spanners. Sliding window- connectivity. David Reese Professor, College of Information Sciences and Technology. Professor of Computer Science and Engineering. Professor of Supply Chain and Information Systems. The Pennsylvania State University, University Park, PA, USA. and Sorting. a. cademy.zariba.com. 1. Lecture Content. Algorithms Overview. Complexity. Sorting . Algorithms. Homework. 2. 3. Algorithms Overview. An . Algorithm. is a step-by-step procedure to perform calculations.. Lecture 1: . Intro; Turing machines; . Class P and NP . . . Indian Institute of Science. About the course. Computational complexity attempts . to classify computational . problems. Lecture 1: . Intro; Turing machines; . Class P and NP . . . Indian Institute of Science. About the course. Computational complexity attempts . to classify computational . problems. Algorithm. Input. Output. 1. Analysis of Algorithms. How long does this take to open 1) know 2) don’t know. . Analysis of Algorithms. 2. If know combination O(n) . where n is number of rings. . If the alphabet is size m, O(nm). Instructor: Arun Sen. Office: BYENG . 530. Tel: 480-965-6153. E-mail: asen@asu.edu. Office Hours: . MW 3:30-4:30 or by appointment. TA: . TBA. Office. : TBA. Tel: . TBA. E-mail: . TBA. Office Hours. : . Fall . 2011. Sukumar Ghosh. What is an algorithm. . A finite set (or sequence) of . precise instructions . for performing a computation. . . . Example: Maxima finding. . . procedure . max. (. Reading: Chapter 2. 2. Complexity Analysis. Measures efficiency (time and memory) of algorithms and programs. Can be used for the following. Compare different algorithms. See how time varies with size of the input. Today’s class. 1) Lecture. 2) . Blackbox. presentations. 3) Guest Lecture: Jonathan Mills. O. rganized . complexity. organized complexity. study of organization. whole is more than sum of parts. Systemhood. Readings: [SG] Ch. 3. Chapter Outline:. Attributes of Algorithms. Measuring Efficiency of Algorithms. Simple Analysis of Algorithms. Polynomial vs Exponential Time Algorithms. Efficiency of Algorithms . CONCLUSIONS. METHODS. ACKNOWLEDGEMENTS. We now discuss our performance analysis. Our overall evaluation approach seeks to prove three hypotheses: (1) that . superpages. no longer affect optical drive throughput; (2) that mean response time is a bad way to measure effective power; and finally (3) that Byzantine fault tolerance no longer affect performance. We are grateful for distributed randomized algorithms; without them, we could not optimize for complexity simultaneously with complexity. We are grateful for noisy hierarchical databases; without them, we could not optimize for security simultaneously with performance. Our evaluation holds .