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  1. Chapter and Conference Paper

    Stochastic Data Streams

    The classical data stream problems are now greatly understood [1]. This talk will focus on problems with stochastic (rather than deterministic) streams where the underlying physical phenomenon generates probab...

    S. Muthukrishnan in Mathematical Foundations of Computer Science 2009 (2009)

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    Chapter and Conference Paper

    Subquadratic Algorithms for Workload-Aware Haar Wavelet Synopses

    Given a signal A of N dimensions, the problem is to obtain a representation R for it that is a linear combination of vectors in the dictionary H of Haar wavelets. The quality of the representation R is determined...

    S. Muthukrishnan in FSTTCS 2005: Foundations of Software Techn… (2005)

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    Chapter and Conference Paper

    Sublinear Methods for Detecting Periodic Trends in Data Streams

    We present sublinear algorithms — algorithms that use significantly less resources than needed to store or process the entire input stream – for discovering representative trends in data streams in the form of...

    Funda Ergun, S. Muthukrishnan, S. Cenk Sahinalp in LATIN 2004: Theoretical Informatics (2004)

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    Chapter and Conference Paper

    An Improved Data Stream Summary: The Count-Min Sketch and Its Applications

    We introduce a new sublinear space data structure—the Count-Min Sketch— for summarizing data streams. Our sketch allows fundamental queries in data stream summarization such as point, range, and inner product que...

    Graham Cormode, S. Muthukrishnan in LATIN 2004: Theoretical Informatics (2004)

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    Chapter and Conference Paper

    Maintenance of Multidimensional Histograms

    We present a space- and time- efficient algorithm for maintaining multidimensional histograms for data that is dynamic, i.e., subject to updates that may be increments or decrements. Both space used as well as...

    S. Muthukrishnan, Martin Strauss in FST TCS 2003: Foundations of Software Tech… (2003)

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    Chapter and Conference Paper

    Comparing Sequences with Segment Rearrangements

    Computational genomics involves comparing sequences based on “similarity” for detecting evolutionary and functional relationships. Until very recently, available portions of the human genome sequence (and that...

    Funda Ergun, S. Muthukrishnan in FST TCS 2003: Foundations of Software Tech… (2003)

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    Chapter and Conference Paper

    Optimal parallel algorithms for Prefix Matching

    The Prefix Matching Problem is to determine, for each location in the text t, the longest prefix of a given pattern p which occurs beginning at that location. We present two work-optimal parallel algorithms for t...

    Ramesh Hariharan, S. Muthukrishnan in Automata, Languages and Programming (1994)

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    Chapter and Conference Paper

    String matching under a general matching relation

    In standard string matching, each symbol matches only itself. In other string matching problems, e.g., the string matching with “don't-cares” problem, a symbol may match several symbols. In general, an arbitra...

    S. Muthukrishnan, H. Ramesh in Foundations of Software Technology and The… (1992)