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概率-拒绝采样 Rejection Sampling

代码星球阅读(1147)2020-06-13 收藏0次评论

2018-12-09 16:40:30

一、使用Rand7()来生成Rand10()

问题描述:

问题求解:

这个问题字节跳动算法岗面试有问到类似的,有rand6,求rand8,我想了好久,最后给了一个特殊解法,就进行三次,每次取前三个数和后三个数的概率相等为1 / 2,那么最后需要得到的概率是1 / 8,就可以通过取三次得到。问题就转变成了映射的问题,当然映射的方式是很简单的,类似二进制的方法,很容易就可以进行映射。

但是,上述的解法在本题中是没有办法使用的,就需要更通用的解法,说实话,之前也没有做过Rejection Sampling标签下的题目,这个问题的通用解法就是使用拒绝采样的算法来进行解决。

首先我们肯定是需要对原空间进行扩充的,因为原空间的大小比生成空间的大小要小。

我其实最初想到的也是两次求rand7(),然后直接求和,但是很显然的这样得到的解空间中的1 - 10是不平均分配的,即使通过对10取余 + 1也不能得到等概率的解。

当然还有人可能会想通过求乘积的方式来扩充空间,可惜的是这样也是非等概率的,具体可以见下图:

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" />

那么怎么样才能得到等概率的呢?其实,我们只需要对两次取得的各个可能的数进行编号,每个编号不就是等可能的么?

由于编号的总长度大于10的倍数,后面的49 - 40 = 9个数字就需要抛弃掉。通过这种方式,我们就可以等概率的生成1 - 10这10个整数。

/**
 * The rand7() API is already defined in the parent class SolBase.
 * public int rand7();
 * @return a random integer in the range 1 to 7
 */
class Solution extends SolBase {
    public int rand10() {
        int res = Integer.MAX_VALUE;
        while (res >= 40) {
            res = 7 * (rand7() - 1) + rand7() - 1;
        }
        return res % 10 + 1;
    }
}

 

二、Generate Random Point in a Circle

问题描述:

问题求解:

本题最直观的解法就是拒绝采样了,解法的流程是生成一个圆的外接矩形框,随机产生矩形框中的数字,如果在圆内,那么就输出,否则拒绝采样,重新生成一遍。

本题中有个问题就是题目描述中说边界的点是算在圆中的,但是Java中的随机数如Math.random(),或者Random rand.nextDouble()产生的随机数都在[0, 1.0)前开后闭,这也就意味着某些圆上的点是没有办法取到的。

这个问题呢,可以这么理解,纵然有某些圆上的点是没有办法取到的,但是并不影响最终的结果,因为圆中的点理论上来说是有无数个的,因此对于某个单独的点其生成的概率是为0 的。

class Solution {
    double r, x, y;
        
    public Solution(double radius, double x_center, double y_center) {
        r = radius;
        x = x_center;
        y = y_center;
    }
    
    public double[] randPoint() {
        Random rand = new Random();
        Double nx = x - r + rand.nextDouble() * 2 * r;
        double ny = y - r + rand.nextDouble() * 2 * r;
        double r2 = r * r;
        while(dis(nx, ny) >= r2){
            nx = x - r + rand.nextDouble() * 2 * r;
            ny = y - r + rand.nextDouble() * 2 * r;
        }
        return new double[]{nx, ny};
    }
    
    // it returns the square of the distance between the point and the center;
    double dis(double nx, double ny){
        return (nx - x) * (nx - x) + (ny - y) * (ny - y);
    }
}

 

以上就是概率-拒绝采样 Rejection Sampling的全部内容。

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