每当我想在R中做一些“映射”py的事情时,我通常尝试使用apply家族中的函数。

然而,我从来没有完全理解它们之间的区别——{sapply, lapply,等等}如何将函数应用到输入/分组输入,输出将是什么样子,甚至输入可以是什么——所以我经常只是浏览它们,直到我得到我想要的。

有人能解释一下什么时候用哪个吗?

我目前(可能不正确/不完全)的理解是……

sapply(vec, f): input is a vector. output is a vector/matrix, where element i is f(vec[i]), giving you a matrix if f has a multi-element output lapply(vec, f): same as sapply, but output is a list? apply(matrix, 1/2, f): input is a matrix. output is a vector, where element i is f(row/col i of the matrix) tapply(vector, grouping, f): output is a matrix/array, where an element in the matrix/array is the value of f at a grouping g of the vector, and g gets pushed to the row/col names by(dataframe, grouping, f): let g be a grouping. apply f to each column of the group/dataframe. pretty print the grouping and the value of f at each column. aggregate(matrix, grouping, f): similar to by, but instead of pretty printing the output, aggregate sticks everything into a dataframe.

题外话:我还没学过plyr或remodeling——plyr或remodeling会完全取代所有这些吗?


附注:以下是各种plyr函数如何对应于基本*apply函数(来自plyr网页http://had.co.nz/plyr/的plyr介绍文档)

Base function   Input   Output   plyr function 
---------------------------------------
aggregate        d       d       ddply + colwise 
apply            a       a/l     aaply / alply 
by               d       l       dlply 
lapply           l       l       llply  
mapply           a       a/l     maply / mlply 
replicate        r       a/l     raply / rlply 
sapply           l       a       laply 

plyr的目标之一是为每个函数提供一致的命名约定,在函数名中编码输入和输出数据类型。它还提供了输出的一致性,因为来自dlply()的输出很容易传递给ldply()以产生有用的输出,等等。

从概念上讲,学习plyr并不比理解基本的apply函数更难。

在我的日常使用中,Plyr和重塑函数几乎取代了所有这些函数。但是,同样来自Plyr文档的介绍:

相关函数tapply和sweep在plyr中没有相应的函数,仍然有用。Merge对于合并摘要和原始数据非常有用。


R有许多在帮助文件中有巧妙描述的*apply函数(例如?apply)。但是,它们太多了,初学者可能很难决定哪一个适合他们的情况,甚至很难记住它们。他们可能有一个普遍的感觉,“我应该在这里使用一个*apply函数”,但一开始很难把它们都说清楚。

尽管事实上(在其他回答中提到)*apply系列的大部分功能都由非常流行的plyr包覆盖,但基本函数仍然有用,值得了解。

这个答案旨在作为新用户的一个路标,帮助他们针对特定的问题找到正确的*apply函数。注意,这不是为了简单地复制或替换R文档!希望这个答案能帮助您决定哪个*apply函数适合您的情况,然后由您进一步研究。除了一个例外,性能差异将不予处理。

apply - When you want to apply a function to the rows or columns of a matrix (and higher-dimensional analogues); not generally advisable for data frames as it will coerce to a matrix first. # Two dimensional matrix M <- matrix(seq(1,16), 4, 4) # apply min to rows apply(M, 1, min) [1] 1 2 3 4 # apply max to columns apply(M, 2, max) [1] 4 8 12 16 # 3 dimensional array M <- array( seq(32), dim = c(4,4,2)) # Apply sum across each M[*, , ] - i.e Sum across 2nd and 3rd dimension apply(M, 1, sum) # Result is one-dimensional [1] 120 128 136 144 # Apply sum across each M[*, *, ] - i.e Sum across 3rd dimension apply(M, c(1,2), sum) # Result is two-dimensional [,1] [,2] [,3] [,4] [1,] 18 26 34 42 [2,] 20 28 36 44 [3,] 22 30 38 46 [4,] 24 32 40 48 If you want row/column means or sums for a 2D matrix, be sure to investigate the highly optimized, lightning-quick colMeans, rowMeans, colSums, rowSums. lapply - When you want to apply a function to each element of a list in turn and get a list back. This is the workhorse of many of the other *apply functions. Peel back their code and you will often find lapply underneath. x <- list(a = 1, b = 1:3, c = 10:100) lapply(x, FUN = length) $a [1] 1 $b [1] 3 $c [1] 91 lapply(x, FUN = sum) $a [1] 1 $b [1] 6 $c [1] 5005 sapply - When you want to apply a function to each element of a list in turn, but you want a vector back, rather than a list. If you find yourself typing unlist(lapply(...)), stop and consider sapply. x <- list(a = 1, b = 1:3, c = 10:100) # Compare with above; a named vector, not a list sapply(x, FUN = length) a b c 1 3 91 sapply(x, FUN = sum) a b c 1 6 5005 In more advanced uses of sapply it will attempt to coerce the result to a multi-dimensional array, if appropriate. For example, if our function returns vectors of the same length, sapply will use them as columns of a matrix: sapply(1:5,function(x) rnorm(3,x)) If our function returns a 2 dimensional matrix, sapply will do essentially the same thing, treating each returned matrix as a single long vector: sapply(1:5,function(x) matrix(x,2,2)) Unless we specify simplify = "array", in which case it will use the individual matrices to build a multi-dimensional array: sapply(1:5,function(x) matrix(x,2,2), simplify = "array") Each of these behaviors is of course contingent on our function returning vectors or matrices of the same length or dimension. vapply - When you want to use sapply but perhaps need to squeeze some more speed out of your code or want more type safety. For vapply, you basically give R an example of what sort of thing your function will return, which can save some time coercing returned values to fit in a single atomic vector. x <- list(a = 1, b = 1:3, c = 10:100) #Note that since the advantage here is mainly speed, this # example is only for illustration. We're telling R that # everything returned by length() should be an integer of # length 1. vapply(x, FUN = length, FUN.VALUE = 0L) a b c 1 3 91 mapply - For when you have several data structures (e.g. vectors, lists) and you want to apply a function to the 1st elements of each, and then the 2nd elements of each, etc., coercing the result to a vector/array as in sapply. This is multivariate in the sense that your function must accept multiple arguments. #Sums the 1st elements, the 2nd elements, etc. mapply(sum, 1:5, 1:5, 1:5) [1] 3 6 9 12 15 #To do rep(1,4), rep(2,3), etc. mapply(rep, 1:4, 4:1) [[1]] [1] 1 1 1 1 [[2]] [1] 2 2 2 [[3]] [1] 3 3 [[4]] [1] 4 Map - A wrapper to mapply with SIMPLIFY = FALSE, so it is guaranteed to return a list. Map(sum, 1:5, 1:5, 1:5) [[1]] [1] 3 [[2]] [1] 6 [[3]] [1] 9 [[4]] [1] 12 [[5]] [1] 15 rapply - For when you want to apply a function to each element of a nested list structure, recursively. To give you some idea of how uncommon rapply is, I forgot about it when first posting this answer! Obviously, I'm sure many people use it, but YMMV. rapply is best illustrated with a user-defined function to apply: # Append ! to string, otherwise increment myFun <- function(x){ if(is.character(x)){ return(paste(x,"!",sep="")) } else{ return(x + 1) } } #A nested list structure l <- list(a = list(a1 = "Boo", b1 = 2, c1 = "Eeek"), b = 3, c = "Yikes", d = list(a2 = 1, b2 = list(a3 = "Hey", b3 = 5))) # Result is named vector, coerced to character rapply(l, myFun) # Result is a nested list like l, with values altered rapply(l, myFun, how="replace") tapply - For when you want to apply a function to subsets of a vector and the subsets are defined by some other vector, usually a factor. The black sheep of the *apply family, of sorts. The help file's use of the phrase "ragged array" can be a bit confusing, but it is actually quite simple. A vector: x <- 1:20 A factor (of the same length!) defining groups: y <- factor(rep(letters[1:5], each = 4)) Add up the values in x within each subgroup defined by y: tapply(x, y, sum) a b c d e 10 26 42 58 74 More complex examples can be handled where the subgroups are defined by the unique combinations of a list of several factors. tapply is similar in spirit to the split-apply-combine functions that are common in R (aggregate, by, ave, ddply, etc.) Hence its black sheep status.


请看http://www.slideshare.net/hadley/plyr-one-data-analytic-strategy:的第21页

(希望这是清楚的,apply对应于@Hadley的apply和aggregate对应于@Hadley的ddply等。如果你没有从这张图片中得到它,同一幻灯片的第20张将会说明。)

(左边是输入,上面是输出)


首先是乔兰的精彩回答——恐怕没有比这更好的答案了。

下面的助记法可以帮助你记住它们之间的区别。虽然有些是显而易见的,但有些可能不那么明显——对于这些,你会在Joran的讨论中找到理由。

助记符

Lapply是一个列表应用程序,作用于列表或向量并返回一个列表。 Sapply是一个简单的lapply(函数默认返回一个向量或矩阵) Vapply是一个经过验证的apply(允许预先指定返回对象类型) Rapply是针对嵌套列表(即列表中的列表)的递归应用 Tapply是一个带标记的应用程序,其中标记标识子集 Apply是通用的:将函数应用到矩阵的行或列(或者更一般地,应用到数组的维数)

构建正确的背景

如果您仍然觉得使用apply族有点陌生,那么可能您缺少了一个关键的观点。

这两篇文章会有所帮助。它们为应用函数族所提供的函数式编程技术提供了必要的背景知识。

Lisp的用户会立刻认出这个范例。如果您不熟悉Lisp,一旦您了解了FP,您将获得在R中使用的强大观点——而apply将更有意义。

高级R:函数式编程,Hadley Wickham著 《R中的简单函数式编程》,作者:Michael Barton


也许值得一提的是ave。ave是tapply的好兄弟。它以一种可以直接插入数据帧的形式返回结果。

dfr <- data.frame(a=1:20, f=rep(LETTERS[1:5], each=4))
means <- tapply(dfr$a, dfr$f, mean)
##  A    B    C    D    E 
## 2.5  6.5 10.5 14.5 18.5 

## great, but putting it back in the data frame is another line:

dfr$m <- means[dfr$f]

dfr$m2 <- ave(dfr$a, dfr$f, FUN=mean) # NB argument name FUN is needed!
dfr
##   a f    m   m2
##   1 A  2.5  2.5
##   2 A  2.5  2.5
##   3 A  2.5  2.5
##   4 A  2.5  2.5
##   5 B  6.5  6.5
##   6 B  6.5  6.5
##   7 B  6.5  6.5
##   ...

在基本包中,对于整个数据帧,没有任何东西可以像ave那样工作(就像by与tapply一样)。但你可以蒙混过关:

dfr$foo <- ave(1:nrow(dfr), dfr$f, FUN=function(x) {
    x <- dfr[x,]
    sum(x$m*x$m2)
})
dfr
##     a f    m   m2    foo
## 1   1 A  2.5  2.5    25
## 2   2 A  2.5  2.5    25
## 3   3 A  2.5  2.5    25
## ...

因为我意识到这篇文章(非常优秀)的答案缺乏全面的解释。以下是我的贡献。

BY

正如文档中所述,by函数可以作为tapply的“包装器”。当我们想要计算tapply无法处理的任务时,by的幂函数就出现了。例如下面的代码:

ct <- tapply(iris$Sepal.Width , iris$Species , summary )
cb <- by(iris$Sepal.Width , iris$Species , summary )

 cb
iris$Species: setosa
   Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
  2.300   3.200   3.400   3.428   3.675   4.400 
-------------------------------------------------------------- 
iris$Species: versicolor
   Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
  2.000   2.525   2.800   2.770   3.000   3.400 
-------------------------------------------------------------- 
iris$Species: virginica
   Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
  2.200   2.800   3.000   2.974   3.175   3.800 


ct
$setosa
   Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
  2.300   3.200   3.400   3.428   3.675   4.400 

$versicolor
   Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
  2.000   2.525   2.800   2.770   3.000   3.400 

$virginica
   Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
  2.200   2.800   3.000   2.974   3.175   3.800 

如果我们打印这两个对象,ct和cb,我们“本质上”有相同的结果,唯一的区别是它们的显示方式和不同的类属性,分别是by for cb和array for ct。

正如我所说,当我们不能使用tapply时,by的力量就出现了;下面的代码是一个例子:

 tapply(iris, iris$Species, summary )
Error in tapply(iris, iris$Species, summary) : 
  arguments must have same length

R说参数必须具有相同的长度,比如“我们想要计算虹膜中所有变量沿因子Species的总和”:但是R不能这样做,因为它不知道如何处理。

使用by函数R为数据帧类分派一个特定的方法,然后让summary函数工作,即使第一个参数的长度(以及类型)不同。

bywork <- by(iris, iris$Species, summary )

bywork
iris$Species: setosa
  Sepal.Length    Sepal.Width     Petal.Length    Petal.Width          Species  
 Min.   :4.300   Min.   :2.300   Min.   :1.000   Min.   :0.100   setosa    :50  
 1st Qu.:4.800   1st Qu.:3.200   1st Qu.:1.400   1st Qu.:0.200   versicolor: 0  
 Median :5.000   Median :3.400   Median :1.500   Median :0.200   virginica : 0  
 Mean   :5.006   Mean   :3.428   Mean   :1.462   Mean   :0.246                  
 3rd Qu.:5.200   3rd Qu.:3.675   3rd Qu.:1.575   3rd Qu.:0.300                  
 Max.   :5.800   Max.   :4.400   Max.   :1.900   Max.   :0.600                  
-------------------------------------------------------------- 
iris$Species: versicolor
  Sepal.Length    Sepal.Width     Petal.Length   Petal.Width          Species  
 Min.   :4.900   Min.   :2.000   Min.   :3.00   Min.   :1.000   setosa    : 0  
 1st Qu.:5.600   1st Qu.:2.525   1st Qu.:4.00   1st Qu.:1.200   versicolor:50  
 Median :5.900   Median :2.800   Median :4.35   Median :1.300   virginica : 0  
 Mean   :5.936   Mean   :2.770   Mean   :4.26   Mean   :1.326                  
 3rd Qu.:6.300   3rd Qu.:3.000   3rd Qu.:4.60   3rd Qu.:1.500                  
 Max.   :7.000   Max.   :3.400   Max.   :5.10   Max.   :1.800                  
-------------------------------------------------------------- 
iris$Species: virginica
  Sepal.Length    Sepal.Width     Petal.Length    Petal.Width          Species  
 Min.   :4.900   Min.   :2.200   Min.   :4.500   Min.   :1.400   setosa    : 0  
 1st Qu.:6.225   1st Qu.:2.800   1st Qu.:5.100   1st Qu.:1.800   versicolor: 0  
 Median :6.500   Median :3.000   Median :5.550   Median :2.000   virginica :50  
 Mean   :6.588   Mean   :2.974   Mean   :5.552   Mean   :2.026                  
 3rd Qu.:6.900   3rd Qu.:3.175   3rd Qu.:5.875   3rd Qu.:2.300                  
 Max.   :7.900   Max.   :3.800   Max.   :6.900   Max.   :2.500     

它确实起作用了,结果非常令人惊讶。它是一个类的对象,即沿着Species(例如,对于它们中的每一个)计算每个变量的摘要。

注意,如果第一个参数是一个数据帧,分派的函数必须有针对该类对象的方法。例如,我们将这段代码与均值函数一起使用我们将得到这段完全没有意义的代码:

 by(iris, iris$Species, mean)
iris$Species: setosa
[1] NA
------------------------------------------- 
iris$Species: versicolor
[1] NA
------------------------------------------- 
iris$Species: virginica
[1] NA
Warning messages:
1: In mean.default(data[x, , drop = FALSE], ...) :
  argument is not numeric or logical: returning NA
2: In mean.default(data[x, , drop = FALSE], ...) :
  argument is not numeric or logical: returning NA
3: In mean.default(data[x, , drop = FALSE], ...) :
  argument is not numeric or logical: returning NA

如果我们以这种方式使用tapply,那么Aggregate可以被视为tapply的另一种不同的使用方式。

at <- tapply(iris$Sepal.Length , iris$Species , mean)
ag <- aggregate(iris$Sepal.Length , list(iris$Species), mean)

 at
    setosa versicolor  virginica 
     5.006      5.936      6.588 
 ag
     Group.1     x
1     setosa 5.006
2 versicolor 5.936
3  virginica 6.588

两个直接的区别是,aggregate的第二个参数必须是一个列表,而tapply可以(非强制)是一个列表,aggregate的输出是一个数据帧,而tapply的输出是一个数组。

aggregate的强大之处在于它可以轻松地处理带有子集参数的数据子集,并且它还有ts对象和公式的方法。

这些元素使聚合体在某些情况下更容易与tapply一起工作。 以下是一些例子(可在文档中找到):

ag <- aggregate(len ~ ., data = ToothGrowth, mean)

 ag
  supp dose   len
1   OJ  0.5 13.23
2   VC  0.5  7.98
3   OJ  1.0 22.70
4   VC  1.0 16.77
5   OJ  2.0 26.06
6   VC  2.0 26.14

我们可以用tapply实现同样的效果,但语法略难,输出(在某些情况下)可读性较差:

att <- tapply(ToothGrowth$len, list(ToothGrowth$dose, ToothGrowth$supp), mean)

 att
       OJ    VC
0.5 13.23  7.98
1   22.70 16.77
2   26.06 26.14

还有一些时候,我们不能使用by或tapply,而必须使用aggregate。

 ag1 <- aggregate(cbind(Ozone, Temp) ~ Month, data = airquality, mean)

 ag1
  Month    Ozone     Temp
1     5 23.61538 66.73077
2     6 29.44444 78.22222
3     7 59.11538 83.88462
4     8 59.96154 83.96154
5     9 31.44828 76.89655

我们不能在一次调用中使用tapply获得之前的结果,但我们必须计算每个元素的平均值沿着Month,然后将它们组合起来(还要注意,我们必须调用na。rm = TRUE,因为聚合函数的公式方法默认为na。Action = na.省略):

ta1 <- tapply(airquality$Ozone, airquality$Month, mean, na.rm = TRUE)
ta2 <- tapply(airquality$Temp, airquality$Month, mean, na.rm = TRUE)

 cbind(ta1, ta2)
       ta1      ta2
5 23.61538 65.54839
6 29.44444 79.10000
7 59.11538 83.90323
8 59.96154 83.96774
9 31.44828 76.90000

虽然使用by我们无法实现这一点,但实际上下面的函数调用会返回一个错误(但很可能与所提供的函数有关,mean):

by(airquality[c("Ozone", "Temp")], airquality$Month, mean, na.rm = TRUE)

其他时候,结果是相同的,差异只是在类(然后它是如何显示/打印的,而不仅仅是——例如,如何子集)对象:

byagg <- by(airquality[c("Ozone", "Temp")], airquality$Month, summary)
aggagg <- aggregate(cbind(Ozone, Temp) ~ Month, data = airquality, summary)

前面的代码实现了相同的目标和结果,在某些情况下使用什么工具只是个人口味和需求的问题;前面两个对象在子集方面有非常不同的需求。


有很多很好的答案讨论了每个功能用例中的差异。没有一个答案讨论了表现上的差异。这是合理的,因为不同的函数需要不同的输入,产生不同的输出,但大多数函数都有一个一般的共同目标,以级数/组来评估。我的答案将集中在性能上。由于以上从矢量产生的输入包含在计时中,应用函数也没有测量。

我同时测试了两个不同的函数sum和length。容量测试为50M输入和50K输出。我还包括了两个目前流行的软件包,在提出问题时还没有广泛使用,那就是数据。Table和dplyr。如果您的目标是获得良好的性能,这两种方法都值得一看。

library(dplyr)
library(data.table)
set.seed(123)
n = 5e7
k = 5e5
x = runif(n)
grp = sample(k, n, TRUE)

timing = list()

# sapply
timing[["sapply"]] = system.time({
    lt = split(x, grp)
    r.sapply = sapply(lt, function(x) list(sum(x), length(x)), simplify = FALSE)
})

# lapply
timing[["lapply"]] = system.time({
    lt = split(x, grp)
    r.lapply = lapply(lt, function(x) list(sum(x), length(x)))
})

# tapply
timing[["tapply"]] = system.time(
    r.tapply <- tapply(x, list(grp), function(x) list(sum(x), length(x)))
)

# by
timing[["by"]] = system.time(
    r.by <- by(x, list(grp), function(x) list(sum(x), length(x)), simplify = FALSE)
)

# aggregate
timing[["aggregate"]] = system.time(
    r.aggregate <- aggregate(x, list(grp), function(x) list(sum(x), length(x)), simplify = FALSE)
)

# dplyr
timing[["dplyr"]] = system.time({
    df = data_frame(x, grp)
    r.dplyr = summarise(group_by(df, grp), sum(x), n())
})

# data.table
timing[["data.table"]] = system.time({
    dt = setnames(setDT(list(x, grp)), c("x","grp"))
    r.data.table = dt[, .(sum(x), .N), grp]
})

# all output size match to group count
sapply(list(sapply=r.sapply, lapply=r.lapply, tapply=r.tapply, by=r.by, aggregate=r.aggregate, dplyr=r.dplyr, data.table=r.data.table), 
       function(x) (if(is.data.frame(x)) nrow else length)(x)==k)
#    sapply     lapply     tapply         by  aggregate      dplyr data.table 
#      TRUE       TRUE       TRUE       TRUE       TRUE       TRUE       TRUE 

# print timings
as.data.table(sapply(timing, `[[`, "elapsed"), keep.rownames = TRUE
              )[,.(fun = V1, elapsed = V2)
                ][order(-elapsed)]
#          fun elapsed
#1:  aggregate 109.139
#2:         by  25.738
#3:      dplyr  18.978
#4:     tapply  17.006
#5:     lapply  11.524
#6:     sapply  11.326
#7: data.table   2.686

尽管这里有很多很棒的答案,但还有两个基本函数值得提一下,一个是有用的outer函数,另一个是鲜为人知的eapply函数

Outer是一个非常有用的函数,隐藏在一个更普通的函数中。如果你阅读外部的帮助,它的描述是这样的:

The outer product of the arrays X and Y is the array A with dimension  
c(dim(X), dim(Y)) where element A[c(arrayindex.x, arrayindex.y)] =   
FUN(X[arrayindex.x], Y[arrayindex.y], ...).

这让它看起来只对线性代数有用。然而,它可以像mapply一样使用,将一个函数应用到输入的两个向量上。区别在于mapply将函数应用于前两个元素,然后是后两个元素,等等,而outer将函数应用于第一个向量中的一个元素和第二个向量中的一个元素的每个组合。例如:

 A<-c(1,3,5,7,9)
 B<-c(0,3,6,9,12)

mapply(FUN=pmax, A, B)

> mapply(FUN=pmax, A, B)
[1]  1  3  6  9 12

outer(A,B, pmax)

 > outer(A,B, pmax)
      [,1] [,2] [,3] [,4] [,5]
 [1,]    1    3    6    9   12
 [2,]    3    3    6    9   12
 [3,]    5    5    6    9   12
 [4,]    7    7    7    9   12
 [5,]    9    9    9    9   12

当我有一个值向量和一个条件向量,并希望看到哪些值满足哪些条件时,我个人就会使用这个方法。

eapply

Eapply类似于lapply,不同之处在于它不是将函数应用到列表中的每个元素,而是将函数应用到环境中的每个元素。例如,如果你想在全局环境中找到用户定义函数的列表:

A<-c(1,3,5,7,9)
B<-c(0,3,6,9,12)
C<-list(x=1, y=2)
D<-function(x){x+1}

> eapply(.GlobalEnv, is.function)
$A
[1] FALSE

$B
[1] FALSE

$C
[1] FALSE

$D
[1] TRUE 

坦率地说,我不经常使用这个,但如果你正在构建很多包或创建很多环境,它可能会派上用场。


我最近发现了一个相当有用的扫描函数,为了完整起见,我将它添加到这里:

扫描

基本思想是逐行或逐列遍历数组并返回修改后的数组。下面的例子将说明这一点(来源:datacamp):

假设你有一个矩阵,想要按列对它进行标准化:

dataPoints <- matrix(4:15, nrow = 4)

# Find means per column with `apply()`
dataPoints_means <- apply(dataPoints, 2, mean)

# Find standard deviation with `apply()`
dataPoints_sdev <- apply(dataPoints, 2, sd)

# Center the points 
dataPoints_Trans1 <- sweep(dataPoints, 2, dataPoints_means,"-")

# Return the result
dataPoints_Trans1
##      [,1] [,2] [,3]
## [1,] -1.5 -1.5 -1.5
## [2,] -0.5 -0.5 -0.5
## [3,]  0.5  0.5  0.5
## [4,]  1.5  1.5  1.5

# Normalize
dataPoints_Trans2 <- sweep(dataPoints_Trans1, 2, dataPoints_sdev, "/")

# Return the result
dataPoints_Trans2
##            [,1]       [,2]       [,3]
## [1,] -1.1618950 -1.1618950 -1.1618950
## [2,] -0.3872983 -0.3872983 -0.3872983
## [3,]  0.3872983  0.3872983  0.3872983
## [4,]  1.1618950  1.1618950  1.1618950

注意:对于这个简单的例子,同样的结果当然可以通过应用(dataPoints, 2, scale)更容易实现。


在CRAN上最近发布的崩溃包中,我尝试将大多数常见的应用功能压缩为2个函数:

dapply (Data-Apply)将函数应用于矩阵和data.frames的行或列(默认值),并且(默认值)返回一个具有相同类型和相同属性的对象(除非每次计算的结果是原子的并且drop = TRUE)。对于data.frame列的性能与lapply相当,对于矩阵行或列的性能比apply快2倍。并行性可通过mclapply获得(仅适用于MAC)。

语法:

dapply(X, FUN, ..., MARGIN = 2, parallel = FALSE, mc.cores = 1L, 
       return = c("same", "matrix", "data.frame"), drop = TRUE)

例子:

# Apply to columns:
dapply(mtcars, log)
dapply(mtcars, sum)
dapply(mtcars, quantile)
# Apply to rows:
dapply(mtcars, sum, MARGIN = 1)
dapply(mtcars, quantile, MARGIN = 1)
# Return as matrix:
dapply(mtcars, quantile, return = "matrix")
dapply(mtcars, quantile, MARGIN = 1, return = "matrix")
# Same for matrices ...

BY是S3的一个泛型,用于拆分应用组合计算,使用矢量、矩阵和data.frame方法。它明显比tapply快,通过和聚合(也比plyr快,但在大数据上dplyr更快)。

语法:

BY(X, g, FUN, ..., use.g.names = TRUE, sort = TRUE,
   expand.wide = FALSE, parallel = FALSE, mc.cores = 1L,
   return = c("same", "matrix", "data.frame", "list"))

例子:

# Vectors:
BY(iris$Sepal.Length, iris$Species, sum)
BY(iris$Sepal.Length, iris$Species, quantile)
BY(iris$Sepal.Length, iris$Species, quantile, expand.wide = TRUE) # This returns a matrix 
# Data.frames
BY(iris[-5], iris$Species, sum)
BY(iris[-5], iris$Species, quantile)
BY(iris[-5], iris$Species, quantile, expand.wide = TRUE) # This returns a wider data.frame
BY(iris[-5], iris$Species, quantile, return = "matrix") # This returns a matrix
# Same for matrices ...

分组变量的列表也可以提供给g。

Talking about performance: A main goal of collapse is to foster high-performance programming in R and to move beyond split-apply-combine alltogether. For this purpose the package has a full set of C++ based fast generic functions: fmean, fmedian, fmode, fsum, fprod, fsd, fvar, fmin, fmax, ffirst, flast, fNobs, fNdistinct, fscale, fbetween, fwithin, fHDbetween, fHDwithin, flag, fdiff and fgrowth. They perform grouped computations in a single pass through the data (i.e. no splitting and recombining).

语法:

fFUN(x, g = NULL, [w = NULL,] TRA = NULL, [na.rm = TRUE,] use.g.names = TRUE, drop = TRUE)

例子:

v <- iris$Sepal.Length
f <- iris$Species

# Vectors
fmean(v)             # mean
fmean(v, f)          # grouped mean
fsd(v, f)            # grouped standard deviation
fsd(v, f, TRA = "/") # grouped scaling
fscale(v, f)         # grouped standardizing (scaling and centering)
fwithin(v, f)        # grouped demeaning

w <- abs(rnorm(nrow(iris)))
fmean(v, w = w)      # Weighted mean
fmean(v, f, w)       # Weighted grouped mean
fsd(v, f, w)         # Weighted grouped standard-deviation
fsd(v, f, w, "/")    # Weighted grouped scaling
fscale(v, f, w)      # Weighted grouped standardizing
fwithin(v, f, w)     # Weighted grouped demeaning

# Same using data.frames...
fmean(iris[-5], f)                # grouped mean
fscale(iris[-5], f)               # grouped standardizing
fwithin(iris[-5], f)              # grouped demeaning

# Same with matrices ...

在软件包小插图中,我提供了基准测试。使用快速函数编程要比使用dplyr或数据编程快得多。表,尤其适用于较小的数据,也适用于较大的数据。