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Research Away Day. Algorithms and Complexity Themes. Three Themes. Algorithm Design, Analysis and Engineering Computational Complexity of Algebraic Structures. Optimization and Heuristics
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Research Away Day Algorithms and Complexity Themes
Three Themes • Algorithm Design, Analysis and Engineering • Computational Complexity of Algebraic Structures. • Optimization and Heuristics • Common thread: study (mathematically or empirically) the amount of resources (CPU time or memory) needed to solve a particular problem. Find algorithms to minimize resources.
Algorithms Research Design and Analysis Applications Algorithm Engg • Mathematical analysis of: • -solution quality • - resource usage • or, proofs of impossibility. • RIGOUR/ : RAE √ • Implement algorithms • as computer code. Empirical • analyses of: • -solution quality • -resource usage • RAE? “Interesting” abstractions of real computational problems.
Algorithm Design + Geography • Relevant sub-interests: • storage and processing of large data sets. • Specific topics: • space-efficient storage and processing of XML files • data mining • expertise mainly in “pattern mining” • e.g. given observations of vehicles at various points (ANPR), find interesting patterns of behaviour • parallel computing (GPUs)
Geometric Geographical Data • No current expertise, but related to current strengths: • Digital Elevation Maps -> Flow data