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Books > Computing & IT > Applications of computing > Databases
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Noisy Information and Computational Complexity (Hardcover, New)
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Noisy Information and Computational Complexity (Hardcover, New)
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In this work noisy information is studied in the context of
computational complexity - in other words it deals with the
computational complexity of mathematical problems for which
available information is partial, noisy and priced. The author
develops a general theory of computational complexity of continuous
problems with noisy information and gives a number of applications;
deterministic as well as stochastic noise is considered. He
presents optimal algorithms, optimal information, and complexity
bounds in different settings: worst case, average case, mixed
worst-average and average-worst, and asymptotic. Particular topics
include: existence of optimal linear (affine) algorithms,
optimality properties of smoothing spline, regularization and least
squares algorithms (with the optimal choice of the smoothing and
regularization parameters), adaption versus nonadaption, relations
between different settings. The book integrates the work of
researchers since the mid-1980s in such areas as computational
complexity, approximation theory and statistics, and includes many
new results.
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