'Polynomial time' diaporamas de présentation

Image Pyramids and Blending

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Problem Solving

CS1103 ????????. Problem Solving. Prof. Chung-Ta King Department of Computer Science National Tsing Hua University. (Contents from Prof. I. K. Lundqvist, Prof. Nilufer Onder , Prof. Kun-Yung Lu , 140.121.196.191/pdf/ai/2007/Topic 3. Search m ethodologies.pdf ). ?????????. ?????????.

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Models of Computation

Models of Computation. Analysis of Algorithms Week 1, Lecture 2. Prepared by John Reif, Ph.D. Distinguished Professor of Computer Science Duke University. Models of Computation (RAM). Random Access Machines Straight Line Programs and Circuits Vector Machines Turing Machines

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Optimistic Initialization and Greediness Lead to Polynomial-Time Learning in Factored MDPs

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Approximation Algorithms

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Clustering

Clustering. Lecture outline. Distance/Similarity between data objects Data objects as geometric data points Clustering problems and algorithms K-means K-median K-center. Inter-cluster distances are maximized. Intra-cluster distances are minimized. What is clustering?.

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David Evans cs.virginia/~evans

Lecture 15: Intractable Problems (Smiley Puzzles and Curing Cancer). David Evans http://www.cs.virginia.edu/~evans. CS200: Computer Science University of Virginia Computer Science. Menu. P and NP NP Problems NP-complete Problems. Complexity Class P.

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More NP-complete Problems

More NP-complete Problems. Theorem:. (proven in previous class). If: Language is NP-complete Language is in NP is polynomial time reducible to. Then: is NP-complete. Using the previous theorem, we will prove that 2 problems are NP-complete:. Vertex-Cover.

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C Programming (the Final Lecture)

C Programming (the Final Lecture). How to document your code. The famous travelling salesman problem (and when a problem is _really_ hard). Three ways to "solve" any optimisation (using kangaroos). Types of documentation . Internal documentation (comments in your code)

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Chapter 8: Relational Database Design

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Computational Intractability As A Law of Physics

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The Cook-Levin Theorem

The Cook-Levin Theorem. Zeph Grunschlag. Announcements. Last HW due Thursday Please give feedback about course at oracle.seas.columbia.edu/wces. Agenda. Proof from definition that CSAT is NP -complete (Cook-Levin Theorem) CSAT ? P 3SAT so 3SAT is NP -complete.

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Chapter 3 Encryption Algorithms & Systems

Chapter 3 Encryption Algorithms & Systems. Outline. NP-completeness & Encryption Symmetric (secret key) vs Asymmetric (public key) Encryptions Popular Encryption Algorithms Merkle-Hellman Knapsacks RSA Encryption El Gamal Algorithms DES Hashing Algorithms Key Escrow & Clipper.

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Artificial Intelligence

Artificial Intelligence. What is AI? Issues in AI. An Overview - AI is a science of making intelligent machines - Intelligence is a type of computation : What is a computation? ? Turing Machines - How do we know if a machine is intelligent or not ? ? Turing Test.

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NP-Completeness (Nondeterministic Polynomial Completeness)

NP-Completeness (Nondeterministic Polynomial Completeness). Sushanth Sivaram Vallath & Z. Joseph. Overview. NP-Completeness Longest Path Problem Hamiltonian Cycle Problem Reduction Decision Problems More Problems HCP and Traveling Salesman 3SAT and Clique Problem.

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Introduction to Algorithms NP-Complete

Introduction to Algorithms 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.

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The Load Distance Balancing Problem

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CSE15 Discrete Mathematics 03/13/17

CSE15 Discrete Mathematics 03/13/17. Ming-Hsuan Yang UC Merced. 3.3 Complexity of algorithms. Algorithm Produce correct answer Efficient Efficiency Execution time (time complexity) Memory (space complexity) Space complexity is related to data structure. Time complexity.

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Example: HP ? p HC

Example: HP ? p HC. Hamiltonian Path Input: Undirected Graph G = (V,E) Y/N Question: Does G contain a Hamiltonian Path? Hamiltonian Cycle Input: Undirected Graph G = (V,E) Y/N Question: Does G contain a Hamiltonian Cycle?. Specification of R(x).

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