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Using Additional Information in Streaming Algorithms

Textbook 2016 127 Pages

Computer Science - Theory

Summary

Streaming problems are algorithmic problems that are mainly characterized by their massive input streams. Because of these data streams, the algorithms for these problems are forced to be space-efficient, as the input stream length generally exceeds the available storage.
The goal of this study is to analyze the impact of additional information (more specifically, a hypothesis of the solution) on the algorithmic space complexities of several streaming problems. To this end, different streaming problems are analyzed and compared. The two problems “most frequent item” and “number of distinct items”, with many configurations of different result accuracies and probabilities, are deeply studied. Both lower and upper bounds for the space and time complexity for deterministic and probabilistic environments are analyzed with respect to possible improvements due to additional information. The general solution search problem is compared to the decision problem where a solution hypothesis has to be satisfied.

Details

Pages
127
Type of Edition
Erstausgabe
Year
2016
ISBN (eBook)
9783960675945
ISBN (Book)
9783960670940
File size
8.6 MB
Language
English
Catalog Number
v349137
Grade
Tags
Streaming Algorithm Frequency Moment Space Complexity Lower Bound Communication Complexity Hypothesis Verification Streaming Problem Additional Information

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Title: Using Additional Information in Streaming Algorithms