首页 \ 问答 \ O(n)具有O(1 / epsilon)空间的重击者?(O(n) Heavy-Hitters with O(1/epsilon) space?)

O(n)具有O(1 / epsilon)空间的重击者?(O(n) Heavy-Hitters with O(1/epsilon) space?)

我知道重击手的以下算法:

Algorithm findHeavyHitters(epsilon, inputStream)
    integer k = ceiling(1 / epsilon) - 1
    initialize hashmap H of size k

    while an item i from the input stream arrives:
        if H[i] exists
            increment the value associated with H[i]
        elsif number of items in H < k
            put H[i] into map with value of 1
        elseif there exists an entry j with a value of 0
            remove j and put H[i] into map with value of 1
        else
            decrement all values in H by 1
    endwhile

    return H

如果我错了,请纠正我,但这个算法不能在O(n)中运行。 是否可以修改此算法,使其在O(n)中运行,同时保持O(1 / epsilon)空间的使用?

对于数据流,算法的要点是返回顶部epsilon * t项。 Epsilon以百分比形式给出(例如,输入0.1表示至少发生10%的数据)。


I know of the following algorithm for heavy-hitters:

Algorithm findHeavyHitters(epsilon, inputStream)
    integer k = ceiling(1 / epsilon) - 1
    initialize hashmap H of size k

    while an item i from the input stream arrives:
        if H[i] exists
            increment the value associated with H[i]
        elsif number of items in H < k
            put H[i] into map with value of 1
        elseif there exists an entry j with a value of 0
            remove j and put H[i] into map with value of 1
        else
            decrement all values in H by 1
    endwhile

    return H

Correct me if I'm wrong, but this algorithm does not run in O(n). Is it possible to modify this algorithm so that it runs in O(n) while maintaining the O(1/epsilon) use of space?

For a stream of data, the point of the algorithm is to return the top epsilon*t items. Epsilon is given as a percentage (e.g. input 0.1 for data that occurs at least 10% of the time).


原文:https://stackoverflow.com/questions/37851407
更新时间:2023-09-22 18:09

最满意答案

至少为了解决这个问题,你的类需要重写Object.Equals()。 另外实现IEquatable是个好主意。

更多信息: 重载Equals()和运算符==(C#编程指南)的指导原则


Your class needs to override Object.Equals() at least for that comparison to work out. Also implementing IEquatable is a good idea.

More information: Guidelines for Overloading Equals() and Operator == (C# Programming Guide)

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