功能组合的方差

时间:2018-11-07 17:39:02

标签: r probability probabilistic-programming

我一直在使用 utils 软件包中的出色功能 combn 。该函数创建所有可能的组合,而无需重复Combn description。我将介绍需要使用的函数的一种用法,但未在combn函数中定义它。我想以一个很好的例子来介绍它。但是,我们要实现的实际目标更加复杂,并且需要更多的数据来完成。

我们想玩的游戏只有 3人可以玩。但是,我们是4个人。我们想知道所有可能的玩游戏的人群。参与者的姓名为 Alex David John Zoe 。 可能的组合为:

names <- c("Alex","David","John","Zoe")
people.per.group <- 3
combn(names,people.per.group)

#Output
     [,1]    [,2]    [,3]   [,4]   
[1,] "Alex"  "Alex"  "Alex" "David"
[2,] "David" "David" "John" "John" 
[3,] "John"  "Zoe"   "Zoe"  "Zoe"  

但是,我们遇到了问题,因为 Alex与John的关系不佳。因此,我们不想将它们都包含在组中。这样我们就可以为只能选择其中一个的人创建组。

# Alex   --> Group 1
# David  --> Group 2
# John   --> Group 1
# Zoe    --> Group 3
only.one.per.group <- c(1,2,1,3)

我正在寻找一个函数,该函数可以使我执行与combn相同的操作,但只能通过变量only.one.per.group限制组合。命名我期待使用var.combn的功能,代码将是:

names <- c("Alex","David","John","Zoe")
only.one.per.group <- c(1,2,1,3)
people.per.group <- 3
var.combn(names,people.per.group,only.one.per.group)

#Output
       [,1]     [,2]      
[1,]  "Alex"   "David"
[2,]  "David"  "John" 
[3,]  "Zoe"    "Zoe"  

很长一段时间以来,我一直在寻找类似的功能。因此,如果您可以告诉我执行该操作的功能,或以任何突然想到的方式来执行此操作,那将非常有用。

我希望您喜欢这个示例,并且希望获得有关该示例的任何想法。

2 个答案:

答案 0 :(得分:0)

这是另一种方式

找到所有可能的组组合:

names <- c("Alex","David","John","Zoe")
x <- expand.grid(names, names, names)

所有可能的组:

    Var1  Var2  Var3
1   Alex  Alex  Alex
2  David  Alex  Alex
3   John  Alex  Alex
4    Zoe  Alex  Alex
5   Alex David  Alex
6  David David  Alex
7   John David  Alex
8    Zoe David  Alex
9   Alex  John  Alex
10 David  John  Alex
11  John  John  Alex
12   Zoe  John  Alex
13  Alex   Zoe  Alex
14 David   Zoe  Alex
15  John   Zoe  Alex
16   Zoe   Zoe  Alex
17  Alex  Alex David
18 David  Alex David
19  John  Alex David
20   Zoe  Alex David
21  Alex David David
22 David David David
23  John David David
24   Zoe David David
25  Alex  John David
26 David  John David
27  John  John David
28   Zoe  John David
29  Alex   Zoe David
30 David   Zoe David
31  John   Zoe David
32   Zoe   Zoe David
33  Alex  Alex  John
34 David  Alex  John
35  John  Alex  John
36   Zoe  Alex  John
37  Alex David  John
38 David David  John
39  John David  John
40   Zoe David  John
41  Alex  John  John
42 David  John  John
43  John  John  John
44   Zoe  John  John
45  Alex   Zoe  John
46 David   Zoe  John
47  John   Zoe  John
48   Zoe   Zoe  John
49  Alex  Alex   Zoe
50 David  Alex   Zoe
51  John  Alex   Zoe
52   Zoe  Alex   Zoe
53  Alex David   Zoe
54 David David   Zoe
55  John David   Zoe
56   Zoe David   Zoe
57  Alex  John   Zoe
58 David  John   Zoe
59  John  John   Zoe
60   Zoe  John   Zoe
61  Alex   Zoe   Zoe
62 David   Zoe   Zoe
63  John   Zoe   Zoe
64   Zoe   Zoe   Zoe

找到满足条件的组:

 x <- x[which(x[,1] != x[,2]),]
    x <- x[which(x[,1] != x[,3]),]
    x <- x[which(x[,2] != x[,3]),]
    x <- x[-which((x[,1] == "Alex" & x[,2] == "John")),]
    x <- x[-which((x[,1] == "Alex" & x[,3] == "John")),]
    x <- x[-which((x[,2] == "Alex" & x[,3] == "John")),]
    x <- x[-which((x[,2] == "Alex" & x[,1] == "John")),]
    x <- x[-which((x[,3] == "Alex" & x[,1] == "John")),]
    x <- x[-which((x[,3] == "Alex" & x[,2] == "John")),]

结果:

    Var1  Var2  Var3
8    Zoe David  Alex
14 David   Zoe  Alex
20   Zoe  Alex David
28   Zoe  John David
29  Alex   Zoe David
31  John   Zoe David
40   Zoe David  John
46 David   Zoe  John
50 David  Alex   Zoe
53  Alex David   Zoe
55  John David   Zoe
58 David  John   Zoe

答案 1 :(得分:0)

这是一个相当紧凑的解决方案,它基于一个假设,即应该从每个组中准确挑选一个人(而且这个假设可能并不总是正确的-从OP中还不清楚)。它利用了一个事实,即应从每个组中选择一个人,因此,如果我们将名称添加到组中并使用expand.grid(),则可以立即获得解决方案。

DF <- data.frame(names=c("Alex","David","John","Zoe"),
                 groups=c(1, 2, 1, 3),
                 stringsAsFactors =FALSE)
expand.grid(lapply(unique(DF$groups), function(i) {DF$names[which(DF$groups==i)]}))

这产生

  Var1  Var2 Var3
1 Alex David  Zoe
2 John David  Zoe

这是您追求的两个组合。稍微紧凑一点的解决方案(仍然使用base R)将是

expand.grid(by(DF, DF$groups, function(x) x$names))

这也许更容易阅读。

它也可以用于更复杂的分组:

DF <- data.frame(names=c("Alex","David","John","Zoe", "Bob", "Charles"),
                 groups=c(1, 2, 1, 3, 2, 3),
                 stringsAsFactors =FALSE)

expand.grid(by(DF, DF$groups, function(x) x$names))

产生

  Var1  Var2    Var3
1 Alex David     Zoe
2 John David     Zoe
3 Alex   Bob     Zoe
4 John   Bob     Zoe
5 Alex David Charles
6 John David Charles
7 Alex   Bob Charles
8 John   Bob Charles

现在,如果您想从每个组中选择少于一个,则上面的代码应该包装并套用到combn()产生的结果上。

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