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On the query complexity of finding a local maximum point. - MaRDI portal

On the query complexity of finding a local maximum point. (Q1853165)

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scientific article; zbMATH DE number 1856495
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On the query complexity of finding a local maximum point.
scientific article; zbMATH DE number 1856495

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    On the query complexity of finding a local maximum point. (English)
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    21 January 2003
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    We calculate the minimal number of queries sufficient to find a local maximum point of a function on a discrete interval, for a model with \(M\) parallel queries, \(M\geqslant1\). Matching upper and lower bounds are obtained. The bounds are formulated in terms of certain Fibonacci type sequences of numbers.
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    Computational complexity
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    Decision trees
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    Local maximum search
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    Fibonacci numbers
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