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... data, such as a bar graph, but the graphs that computer scientists use are ... which touch at only one point at a time may be colored ... can study graph ...

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... for which a proper coloring of G exists is called the chromatic number of G. ... Getting to the chromatic number. Or, getting to a maximum iteration number ...

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Constraint Satisfaction Problems Chapter 5 Section 1 3 Constraint satisfaction problems (CSPs) CSP: state is defined by variables Xi with values from domain Di ...

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Constraint Satisfaction Problems ... purpose algorithms with more power than standard search algorithms ... NP-complete) infinite domains: integers, strings, ...

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Constraint Satisfaction Problems Chapter 5 Section 1 3 Outline Constraint Satisfaction Problems (CSP) Backtracking search for CSPs Local search for CSPs ...

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Constraint Satisfaction Problems Tuomas Sandholm Carnegie Mellon University Computer Science Department [Read Chapter 6 of Russell & Norvig] Tree-structured CSPs ...

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Title: Constraint Satisfaction Problems Subject: SJTU Author: Liqing Zhang Last modified by: Juha Created Date: 12/17/2003 5:14:46 AM Document presentation format

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Tree decomposition Algorithm: ... [Amir 2002] Constant approximation in polytime is an important open question Local search for CSPs Hill-climbing, ...

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Require the numbering to remain a graph coloring. May not be doable. ... x1, x2, ..., xp in G and (not necessarily distinct) colors c1, c2, ..., cp in S(x) so that if ...

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How can we achieve conflict-free routing in each node of the network? ... Graph Coloring. Constraint Satisfaction Problem (CSP) and Satisfiability and Integer ...

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assign a colour to every vertex in a graph such that no adjacent ... TABU search. evolutionary simulated annealing. march 2005. ants can colour graphs, andym ...

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Relation of single units jobs to graph coloring ... A proper coloring of G is a function ?: V 2N, such that adjacent vertices are ...

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Constraint Satisfaction Problems (CSP) Backtracking search for CSPs. Local search for CSPs ... Let's start with the straightforward approach, then fix it ...

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... with the fewest legal values ... the one that rules out the fewest values in the remaining variables ... choose value that violates the fewest constraints ...

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... randomly select any conflicted variable. Value selection by min-conflicts heuristic: choose value ... Iterative min-conflicts is usually effective in practice ...

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Arc consistency detects failure earlier than forward checking ... As the level of local consistency checking (lookahead) is increased, CBJ becomes ...

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Constraint Satisfaction Problems Tuomas Sandholm Carnegie Mellon University Computer Science Department [Read Chapter 6 of Russell & Norvig] Tree-structured CSPs ...

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... Coloring. Variables WA, NT, Q, NSW, V, SA, T. Domains Di = {red,green,blue} Constraints: adjacent regions must have different colors ... Example: Map-Coloring ...

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Constraints: adjacent regions must have different colors. e.g., WA NT ... Example: Map-Coloring. Solutions are complete and consistent assignments, ...

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e.g., which class is offered when and where? Transportation scheduling. Factory scheduling ... This removes any inconsistent values from Parent(Xj) ...

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integers, strings, etc. e.g., job scheduling, variables are start/end days for each job ... Constraint propagation (e.g., arc consistency) does additional work ...

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David Poole, Alan Mackworth, and Randy Goebel. Computational Intelligence: A Logical Approach. ... cannot both be blue! Constraint propagation repeatedly ...

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that does not conflict with current assignment. fail if no legal assignments ... Variable selection: randomly select any conflicted variable ...

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... randomly select any conflicted variable. Value selection by min-conflicts heuristic: choose value ... Iterative min-conflicts is usually effective in practice ...

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Disclaimer: Solving Sudoku puzzles will never be the same after today's lecture! COMP-102 ... Example #1: Sudoku puzzle. A simple puzzle: ...

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graph colouring. independent set 'But it doesn't occur ... colouring partial Latin squares ... Colouring small world graphs. Small world graphs. Other bad news ...

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... Train Timetabling, Locomotive Scheduling, Train ... Locomotive Assignment with Trenitalia SpA. Train Timetabling with Rete Ferroviaria Italiana SpA ...

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Satisfied by Message Passing: Probabilistic Techniques for Combinatorial Problems Lukas Kroc, Ashish Sabharwal, Bart Selman Cornell University AAAI-08 Tutorial

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Use of chemistry and physics ... STRENGHTS SWOT ANALYSIS The activity aim ... simple laboratory experiences and poor materials (vegetables and fruits ...

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... Smith, Osman, Reeves, Smith,' Modern heuristics search methods', 1996. Reeves, C. (ed), 'Modern heuristics techniques for combinatorial Problems', Blackwell,1993 ...

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... to plateau at the fifth-or-sixth grade level (Cawley & Miller, 1989) ... worksheet provided to cue students to use the first two ... math work. ...

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Structured worksheet provided to cue students to use the first two steps of STAR. ... STAR adapted from Strategic Math Series by Mercer and Miller, 1991. ...

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Query by brush ... Brush the clustering visual encodings in the TimeTable, corresponding data in ... Brush to select data that have over $10,000 of differences ...

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Map Colouring ... The map coloring and 4-queens CSPs are also arc consistent. 24. Achieving Arc Consistency ... Colouring Australia: with constraints. WA NT SA ...

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Given an N X N matrix, and given N colors, a quasigroup of order N is a a ... (Berge 70, Regin 94, Shaw and Walsh 98 ) Carla P. Gomes. School on Optimization. CPAIOR02 ...

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Human/animal parts or body fluids (for example, blood, urine) Exceptions: ... These 8 pages exclude the abstract, bibliography, graphs, and appendices. ...

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Title: PowerPoint Presentation Last modified by: Dong Shao Created Date: 1/1/1601 12:00:00 AM Document presentation format: Other titles

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Beyond NP Other complexity classes Phase transitions in P, PSPACE, Structure Backbones, 2+p-SAT, small world topology, Heuristics Constrainedness knife-edge ...

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2-4 PM, 4 Feb. Provisional exam time. 10 December Geometry of the Universe ... Given n crates of different weights, are t trucks, each of which can carry a ...

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Research-Based Math Interventions for Middle School Students with Disabilities ... Equity math is for all students, regardless of personal characteristics, ...

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UNAV-RES-MAP (DIV2 D24BUS-3 D24-2 D24-1) (ACPLOSS D24BUS-3 D24-2. ROME LABORATORY OUTAGE MANAGER (ROMAN) Parameters Load Run. Parameters Load Run. AC-POWER ...

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Communication and Dialogue in HRI Seminario per il corso di ELN 2003/04 Maria Federico Summary An explanation of what is Human-Robot Interaction A survey to ...

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University of Bologna (UOB) DEIS (Department of Electronics, Computer Science and Automatics) Faculty of Engineering Operations Research Unit University of Bologna ...

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How can we achieve conflict-free routing in each node of the network? ... Sudoku. Underlying Latin Square structure. Characterizes many real world applications ...

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ARTIFICIAL INTELLIGENCE FOR ENGINEERS Lecture 5, 4/18/2005 University of Washington, ... Backtracking search is the basic uninformed algorithm for CSPs ...

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Products: Ammonium Gas = NH3 Ammonium Chloride = NH4Cl ... Nutritional Requirements. At least 100% of vitamins A, C, B1, B2, niacin, calcium and iron ...

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state is defined by variables Xi with values from domain Di ... {WA = red, NT = green, Q = red, NSW = green, V = red, SA = blue, T = green} ...

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But not scalable, because they rely on manual construction of Web directory. 6 ... A family of techniques that portray the data's structure in a spatial fashion ...

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... verbal rehearsal, acronyms, funny sentences, enumerating, intensity of attention ... add visual clues to verbal instructions (gestures, pictures) ...

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The probability that a neighbor is chosen is proportional to its heuristic value ... The heuristic value reflects the fitness of the individual ...

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Arc consistency detects failure earlier than forward checking ... Constraint propagation (e.g., arc consistency) does additional work to constrain ...

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CONFLICT FREE. LATIN ROUTER. Input ports. Output ports. 3. 1. 2. 4 ... Sudoku. Underlying Latin Square structure. characterizes many real world applications ...

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Depends on knowledge about the states and actions. Search costs ... Not diagonally up. Not diagonally down. 45. Smugglers Knapsack ...

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Introduction to AI; Planning & Search CSE 592 Applications of Artificial Intelligence Henry Kautz Winter 2003 What is Intelligence? What is Artificial Intelligence?

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Introduction to AI; Planning & Search CSE 592 Applications of Artificial Intelligence Henry Kautz Winter 2003 What is Intelligence? What is Artificial Intelligence?

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