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Exact Algorithms for Hard Problems

Exact Algorithms for Hard Problems

Exact Algorithms for Hard Problems. An introduction. This talk. Intro Exact algorithms Fixed parameter algorithms. Why?. Practical problems often NP-hard Must still be solved, so use slow exact algorithm Question: how fast can we do it? Here: analysis of worst case times

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737 views • 60 slides
Monte-Carlo Planning Look Ahead Trees

Monte-Carlo Planning Look Ahead Trees

Monte-Carlo Planning Look Ahead Trees. Alan Fern . Monte-Carlo Planning Outline. Single State Case (multi-armed bandits) A basic tool for other algorithms Monte-Carlo Policy Improvement Policy rollout Policy Switching Monte-Carlo Look-Ahead Trees Sparse Sampling

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822 views • 60 slides
Compiler Construction

Compiler Construction

Compiler Construction. Syntax Analysis Top-down parsing. Syntax Analysis, continued. Syntax analysis. Last week we covered The goal of syntax analysis Context-free grammars Top-down parsing (a simple but weak parsing method) Today, we will Wrap up top-down parsing, including LL(1)

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762 views • 58 slides
ITB001 Problem Solving and Programming Lecture 4

ITB001 Problem Solving and Programming Lecture 4

ITB001 Problem Solving and Programming Lecture 4. Faculty of Information Technology Queensland University of Technology. Aims of this lecture. Last week we saw how parameterised procedures allow us to reuse solutions

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533 views • 47 slides
Topic 2 Scheme and Procedures and Processes

Topic 2 Scheme and Procedures and Processes

Topic 2 Scheme and Procedures and Processes. September 2008. Function definition: ( define (<fun> <param1> <param2> ...) <body>) Function call: (<fun> <expr1> <expr2> ...). Substitution model for defined procedure application. The substitution model.

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458 views • 36 slides
Topic 2 Scheme and Procedures and Processes

Topic 2 Scheme and Procedures and Processes

Topic 2 Scheme and Procedures and Processes. September 2008. Function definition: ( define (<fun> <param1> <param2> ...) <body>) Function call: (<fun> <expr1> <expr2> ...). Substitution model for defined procedure application. The substitution model.

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367 views • 36 slides
Mathematical Induction I

Mathematical Induction I

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663 views • 32 slides
Topic 3 Linear Recursion and Iteration

Topic 3 Linear Recursion and Iteration

Topic 3 Linear Recursion and Iteration. September 2008. Processes generated by procedures. Procedure: defined by code in a language Process: activities in computer while procedure is run. Recursion and iteration. Recursive procedure: procedure calls itself in definition

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413 views • 30 slides
Recursion and Induction

Recursion and Induction

Recursion and Induction. For advanced algorithm development, recursion is an essential design technique Recursive Procedures What is a Proof? Induction Proofs Proving Correctness of Procedures Recurrence Equations Recursion Trees. Recurrence Equations vs. Recursive Procedures.

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418 views • 30 slides
Chapter 3 (Part 3): Mathematical Reasoning, Induction & Recursion

Chapter 3 (Part 3): Mathematical Reasoning, Induction & Recursion

Chapter 3 (Part 3): Mathematical Reasoning, Induction & Recursion. Recursive Algorithms (3.5) Program Correctness (3.6). Recursive Algorithm (3.5). Goal: Reduce the solution to a problem with a particular set of input to the solution of the same problem with smaller input values Example:

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489 views • 28 slides
Chapter 4 (Part 3): Mathematical Reasoning, Induction & Recursion

Chapter 4 (Part 3): Mathematical Reasoning, Induction & Recursion

Chapter 4 (Part 3): Mathematical Reasoning, Induction & Recursion. Recursive Algorithms (4.4) Program Correctness (4.5). Recursive Algorithm (4.4). Goal: Reduce the solution to a problem with a particular set of input to the solution of the same problem with smaller input values

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286 views • 28 slides
Chap 3

Chap 3

Chap 3. A theorem is a statement that can be shown to be true A proof is a sequence of statements to show that a theorem is true Axioms: statements which are assumptions, hypotheses or previously proved theorem Pales of inference: draw conclusion from other assertions. Chap 3 (cont.).

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416 views • 26 slides
Recitation 3

Recitation 3

Outline Recursive procedure Complex data structures Arrays Structs Unions Function pointer Reminders Lab 2: Wed. 11:59PM Lab 3: start early. Minglong Shao E-mail: shaoml+213@cs.cmu.edu Office hours: Thursdays 5-6PM Wean Hall 1315. Recitation 3.

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333 views • 20 slides
13.2 Recursive Definitions

13.2 Recursive Definitions

13.2 Recursive Definitions. Objective Provide the recursive definition for sequences; 2) Identify the type of a sequence from a recursive definition. Recursively Defined Sequences. Often it is difficult to express the members of an object or numerical sequence explicitly.

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603 views • 19 slides
13.2 Recursive Definitions

13.2 Recursive Definitions

13.2 Recursive Definitions. Objective Provide the recursive definition for sequences; 2) Identify the type of a sequence from a recursive definition. Recursively Defined Sequences. Often it is difficult to express the members of an object or numerical sequence explicitly.

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361 views • 19 slides
Analytical Tools

Analytical Tools

Analytical Tools. Introduction to Algorithms Recipes as Algorithms Analyzing Computer Algorithms Specification of Input Describing Result Proving Termination. Algorithms. An algorithm is a set of instructions used to solve a specific problem Synonyms: Process Method Technique

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175 views • 17 slides
New Algorithms for Efficient High-Dimensional Nonparametric Classification

New Algorithms for Efficient High-Dimensional Nonparametric Classification

New Algorithms for Efficient High-Dimensional Nonparametric Classification. Ting Liu, Andrew W. Moore, and Alexander Gray. Overview. Introduction k Nearest Neighbors ( k -NN) KNS1: conventional k -NN search New algorithms for k -NN classification KNS2: for skewed-class data

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264 views • 14 slides
Recursive descent parsing

Recursive descent parsing

Recursive descent parsing. Programming Language Design and Implementation (4th Edition) by T. Pratt and M. Zelkowitz Prentice Hall, 2001 Section 3.4. Recursive descent parsing overview. A simple parsing algorithm

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300 views • 14 slides
Recursion

Recursion

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133 views • 13 slides
Searching and Sorting

Searching and Sorting

Searching and Sorting. Recursion, Merge-sort, Divide & Conquer, Bucket sort, Radix sort Lecture 5. Recursion. Recursive procedure/function is one that calls itself. A recursive procedure can be repeated with different parameter values. Characteristics :

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234 views • 10 slides

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