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Algorithmic Problem Solving Feel the satisfaction of attacking a really hard problem

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Algorithmic Problem Solving. Feel the satisfaction of attacking a really hard problem and solving it! ... logic, linear algebra, discrete mathematics, ... – PowerPoint PPT presentation

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Title: Algorithmic Problem Solving Feel the satisfaction of attacking a really hard problem


1
Algorithmic Problem Solving Feel the
satisfaction of attacking a really hard problem
and solving it!
  • This is a hands-on course on studying, combining,
    and applying diverse algorithmic techniques,
    approaches, and heuristics for solving hard
    computational problems.
  • How do computers play chess? How do they prove
    theorems? How do they find optimal routes to
    visit many destinations, schedule commodities
    flows, arrange optimal packings and facilities
    allocations? This course introduces and explains
    various appropriate algorithmic and heuristic
    methods that help to cleverly reduce and explore
    astronomically large search spaces with the
    purpose of finding optimal or near-optimal
    solutions in reasonable time.
  • As an example, a familiar local search heuristic
    (hill climbing in the picture) can be refined and
    adjusted to solve hard problems like Traveling
    Salesman, Satisfiability, Graph Coloring,and
    Bin Packing.
  • Dynamic programming (known from AD2) helps
    solving chess endgames efficiently and
    exhaustively. Intelligent traversal of a search
    tree cutting away nonproductive branches
    (branch-and-bound, alpha-beta cut) helps to
    outsmart adversaries in games and to solve
    complex problems in artificial intelligence and
    planning.
  • Methods of approximating a problem, representing
    it by a linear program, and solving its
    relaxation efficiently allow for solving a wide
    range of practically important problems. Using
    randomization often adds power and efficiency to
    algorithms, allows to avoid worst-case behaviors
    and improves solution quality.
  • Each participant suggests, works on, presents,
    defends an individual project, and creates a web
    site, either starting from a method, algorithm or
    heuristic, or from a (presumably) hard
    algorithmic problem. Both variants usually give
    surprising and unexpected results.

Prerequisites Algorithms and data structures
DV2, logic, linear algebra, discrete
mathematics, probability and statistics, advanced
programming. Goal Boosting students'
algorithmic expertise and sophistication, giving
taste and skills for combining advanced tools for
solving hard problems, orienting students in
their (future) research.
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