Consider the data frame data created here:
set.seed(123)
num = sample(5:20, replace = T, 20)
id = letters[1:20]
loc <- rep(id, num)
data <- data.frame(Location = loc)
data[paste0('var', seq_along(1:10))] <- rnorm(length(id) * sum(num))
Assuming data is my training data; Each row represents measurements that were taken on a randomly sampled individuals from populations identified by the grouping variable Location. I want to use recursive feature elimination to identify the best subset of predictors for predicting Location. Analogously, I want to understand how much variation each of the predictors explain in Location (i.e., which ones are most important, and how much more important are they). I have read how this can be done using the caret package using something like this:
library(caret)
subsets <- 1:9
ctrl <- rfeControl(functions = lmFuncs, method = "repeatedcv", repeats = 10, verbose = F)
lmProfile <- rfe(data[,2:10], data[,1], sizes = subsets, rfeControl = ctrl)
In my data example, considering the unbalanced number of samples in each Location, I want to use down sampling to ensure that the same number of samples is being considered across the levels of Location upon each iteration. Could someone demonstrate how I might do this?
Related
I am performing a PLS-DA analysis in R using the mixOmics package. I have one binary Y variable (presence or absence of wetland) and 21 continuous predictor variables (X) with values ranging from 1 to 100.
I have made the model with the data_training dataset and want to predict new outcomes with the data_validation dataset. These datasets have exactly the same structure.
My code looks like:
library(mixOmics)
model.plsda<-plsda(X,Y, ncomp = 10)
myPredictions <- predict(model.plsda, newdata = data_validation[,-1], dist = "max.dist")
I want to predict the outcome based on 10, 9, 8, ... to 2 principal components. By using the get.confusion_matrix function, I want to estimate the error rate for every number of principal components.
prediction <- myPredictions$class$max.dist[,10] #prediction based on 10 components
confusion.mat = get.confusion_matrix(truth = data_validatie[,1], predicted = prediction)
get.BER(confusion.mat)
I can do this seperately for 10 times, but I want do that a little faster. Therefore I was thinking of making a list with the results of prediction for every number of components...
library(BBmisc)
prediction_test <- myPredictions$class$max.dist
predictions_components <- convertColsToList(prediction_test, name.list = T, name.vector = T, factors.as.char = T)
...and then using lapply with the get.confusion_matrix and get.BER function. But then I don't know how to do that. I have searched on the internet, but I can't find a solution that works. How can I do this?
Many thanks for your help!
Without reproducible there is no way to test this but you need to convert the code you want to run each time into a function. Something like this:
confmat <- function(x) {
prediction <- myPredictions$class$max.dist[,x] #prediction based on 10 components
confusion.mat = get.confusion_matrix(truth = data_validatie[,1], predicted = prediction)
get.BER(confusion.mat)
}
Now lapply:
results <- lapply(10:2, confmat)
That will return a list with the get.BER results for each number of PCs so results[[1]] will be the results for 10 PCs. You will not get values for prediction or confusionmat unless they are included in the results returned by get.BER. If you want all of that, you need to replace the last line to the function with return(list(prediction, confusionmat, get.BER(confusion.mat)). This will produce a list of the lists so that results[[1]][[1]] will be the results of prediction for 10 PCs and results[[1]][[2]] and results[[1]][[3]] will be confusionmat and get.BER(confusion.mat) respectively.
I am a beginner to R and am having trouble with something that feels basic but I am not sure how to do it. I have a data set with 1319 rows and I want to setup training data for observations 1 to 1000 and the test data for 1001 to 1319.
Comparing with notes from my class and the professor set this up by doing a Boolean vector by the 'Year' variable in her data. For example:
train=(Year<2005)
And that returns the True/False statements.
I understand that and would be able to setup a Boolean vector if I was subsetting my data by a variable but instead I have to strictly by the number of rows which I do not understand how to accomplish. I tried
train=(data$nrow < 1001)
But got logical(0) as a result.
Can anyone lead me in the right direction?
You get logical(0) because nrow is not a column
You can also subset your dataframe by using row numbers
train = 1:1000 # vector with integers from 1 to 1000
test = 1001:nrow(data)
train_data = data[train,]
test_data = data[test,]
But be careful, unless the order of rows in your dataframe is completely random, you probably want to get 1000 rows randomly and not the 1000 first ones, you can do this using
train = sample(1:nrow(data),1000)
You can then get your train_data and test_data using
train_data = data[train,]
test_data = data[setdiff(1:nrow(data),train),]
The setdiff function is used to get all rows not selected in train
The issue with splitting your data set by rows is the potential to introduce bias into your training and testing set - particularly for ordered data.
# Create a data set
data <- data.frame(year = sample(seq(2000, 2019, by = 1), 1000, replace = T),
data = sample(seq(0, 1, by = 0.01), 1000, replace = T))
nrow(data)
[1] 1000
If you really want to take the first n rows then you can try:
first.n.rows <- data[1:1000, ]
The caret package provides a more reliable approach to using cross validation in your models.
First create the partition rule:
library(caret)
inTrain <- createDataPartition(y = data$year,
p = 0.8, list = FALSE)
Note y = data$year this tells R to use the variable year to sample from, ensuring you don't get ordered data and introduced bias to the model.
The p argument tells caret how much of the original data should be partitioned to the training set, in this case 80%.
Then apply the partition to the data set:
# Create the training set
train <- data[inTrain,]
# Create the testing set
test <- data[-inTrain,]
nrow(train) + nrow(test)
[1] 1000
I am trying to create a unsupervised model with categorical and continuous data together. I think I have worked it out, but is this the correct way to do this?
Load Libraries
library(tidyr)
library(dummies)
library(fastDummies)
library(cluster)
library(dplyr)
create sample data set
set.seed(3)
sampleData <- data.frame(id = 1:50,
gender = sample(c("Male", "Female"), 10, replace =
TRUE),
age_bracket = sample(c("0-10", "11-30","31-60",">60"),
10, replace = TRUE),
income = rnorm(10, 40, 10),
volume = rnorm(50, 40, 100))
Create sparse matrix and scale
sd1 <- sampleData %>%
dummy_cols(select_columns = c("gender","age_bracket"))%>%
mutate(id = factor(id))%>%
select(-c(gender,age_bracket))%>%
mutate_if(is.numeric, scale)
glimpse(sd1)
Generate a k-means model using the pam() function with a k = 3
sd2 <- pam(sd1, k =3)
Extract the vector of cluster assignments from the model
sd3 <- sd2$cluster
Build the segment_customers dataframe
sd4 <- mutate(sd1, cluster = sd3)
Calculate the size of each cluster
count(sd4, cluster)
Dummy coding of variables is fairly standard, but I am not a fan of it. In many cases this IMHO causes large bias, and hinders interpretability.
In your case, you may additionally be applying standardization to them, which makes variable bias even worse.
Your text claims to use k-means, but uses PAM. These are not the same. PAM is IMHO a better choice here, because of interpretability, and the ability to use other metrics such as Manhattan. The resulting cluster "centers" are data points, not means.
I recommend going down to the mathematical level. PAM tries to minimize the sum of distances to the centers. Now put in the distance you use, e.g., Manhattan. Now substitute the standardization and dummy encoding in there, and you get the actual problem your approach tries to solve. Now have a critical look at this (probably quite large) term: is that helpful for your problem, or are you optimizing the wrong function?
I want to measure the features importance with the cforest function from the party library.
My output variable has something like 2000 samples in class 0 and 100 samples in class 1.
I think a good way to avoid bias due to class unbalance is to train each tree of the forest using a subsample such that the number of elements of class 1 is the same of the number of element in class 0.
Is there anyway to do that? I am thinking to an option like n_samples = c(20, 20)
EDIT:
An example of code
> iris.cf <- cforest(Species ~ ., data = iris,
+ control = cforest_unbiased(mtry = 2)) #<--- Here I would like to train the forest using a balanced subsample of the data
> varimp(object = iris.cf)
Sepal.Length Sepal.Width Petal.Length Petal.Width
0.048981818 0.002254545 0.305818182 0.271163636
>
EDIT:
Maybe my question is not clear enough.
Random forest is a set of decision trees. In general the decision trees are constructed using only a random subsample of the data. I would like that the used subsample has the same numbers of element in the class 1 and in the class 0.
EDIT:
The function that I am looking for is for sure available in the randomForest package
sampsize
Size(s) of sample to draw. For classification, if sampsize is a vector of the length the number of strata, then sampling is stratified by strata, and the elements of sampsize indicate the numbers to be drawn from the strata.
I need the same for the party package. Is there any way to get it?
I will assume you know what you want to accomplish, but don't know enough R to do that.
Not sure if the function provides balancing of data as an argument, but you can do it manually. Below is the code I quickly threw together. More elegant solution might exist.
# just in case
myData <- iris
# replicate everything *10* times. Replicate is just a "loop 10 times".
replicate(10,
{
# split dataset by class and add separate classes to list
splitList <- split(myData, myData$Species)
# sample *20* random rows from each matrix in a list
sampledList <- lapply(splitList, function(dat) { dat[sample(20),] })
# combine sampled rows to a data.frame
sampledData <- do.call(rbind, sampledList)
# your code below
res.cf <- cforest(Species ~ ., data = sampledData,
control = cforest_unbiased(mtry = 2)
)
varimp(object = res.cf)
}
)
Hope you can take it from here.
I'm clustering documents using topic modeling. I need to come up with the optimal topic numbers. So, I decided to do ten fold cross validation with topics 10, 20, ...60.
I have divided my corpus into ten batches and set aside one batch for a holdout set. I have ran latent dirichlet allocation (LDA) using nine batches (total 180 documents) with topics 10 to 60. Now, I have to calculate perplexity or log likelihood for the holdout set.
I found this code from one of CV's discussion sessions. I really don't understand several lines of code below. I have dtm matrix using the holdout set (20 documents). But I don't know how to calculate the perplexity or log likelihood of this holdout set.
Questions:
Can anybody explain to me what seq(2, 100, by =1) mean here? Also, what AssociatedPress[21:30] mean? What function(k) is doing here?
best.model <- lapply(seq(2, 100, by=1), function(k){ LDA(AssociatedPress[21:30,], k) })
If I want to calculate perplexity or log likelihood of the holdout set called dtm, is there better code? I know there are perplexity() and logLik() functions but since I'm new I can not figure out how to implement it with my holdout matrix, called dtm.
How can I do ten fold cross validation with my corpus, containing 200 documents? Is there existing code that I can invoke? I found caret for this purpose, but again cannot figure that out either.
The accepted answer to this question is good as far as it goes, but it doesn't actually address how to estimate perplexity on a validation dataset and how to use cross-validation.
Using perplexity for simple validation
Perplexity is a measure of how well a probability model fits a new set of data. In the topicmodels R package it is simple to fit with the perplexity function, which takes as arguments a previously fit topic model and a new set of data, and returns a single number. The lower the better.
For example, splitting the AssociatedPress data into a training set (75% of the rows) and a validation set (25% of the rows):
# load up some R packages including a few we'll need later
library(topicmodels)
library(doParallel)
library(ggplot2)
library(scales)
data("AssociatedPress", package = "topicmodels")
burnin = 1000
iter = 1000
keep = 50
full_data <- AssociatedPress
n <- nrow(full_data)
#-----------validation--------
k <- 5
splitter <- sample(1:n, round(n * 0.75))
train_set <- full_data[splitter, ]
valid_set <- full_data[-splitter, ]
fitted <- LDA(train_set, k = k, method = "Gibbs",
control = list(burnin = burnin, iter = iter, keep = keep) )
perplexity(fitted, newdata = train_set) # about 2700
perplexity(fitted, newdata = valid_set) # about 4300
The perplexity is higher for the validation set than the training set, because the topics have been optimised based on the training set.
Using perplexity and cross-validation to determine a good number of topics
The extension of this idea to cross-validation is straightforward. Divide the data into different subsets (say 5), and each subset gets one turn as the validation set and four turns as part of the training set. However, it's really computationally intensive, particularly when trying out the larger numbers of topics.
You might be able to use caret to do this, but I suspect it doesn't handle topic modelling yet. In any case, it's the sort of thing I prefer to do myself to be sure I understand what's going on.
The code below, even with parallel processing on 7 logical CPUs, took 3.5 hours to run on my laptop:
#----------------5-fold cross-validation, different numbers of topics----------------
# set up a cluster for parallel processing
cluster <- makeCluster(detectCores(logical = TRUE) - 1) # leave one CPU spare...
registerDoParallel(cluster)
# load up the needed R package on all the parallel sessions
clusterEvalQ(cluster, {
library(topicmodels)
})
folds <- 5
splitfolds <- sample(1:folds, n, replace = TRUE)
candidate_k <- c(2, 3, 4, 5, 10, 20, 30, 40, 50, 75, 100, 200, 300) # candidates for how many topics
# export all the needed R objects to the parallel sessions
clusterExport(cluster, c("full_data", "burnin", "iter", "keep", "splitfolds", "folds", "candidate_k"))
# we parallelize by the different number of topics. A processor is allocated a value
# of k, and does the cross-validation serially. This is because it is assumed there
# are more candidate values of k than there are cross-validation folds, hence it
# will be more efficient to parallelise
system.time({
results <- foreach(j = 1:length(candidate_k), .combine = rbind) %dopar%{
k <- candidate_k[j]
results_1k <- matrix(0, nrow = folds, ncol = 2)
colnames(results_1k) <- c("k", "perplexity")
for(i in 1:folds){
train_set <- full_data[splitfolds != i , ]
valid_set <- full_data[splitfolds == i, ]
fitted <- LDA(train_set, k = k, method = "Gibbs",
control = list(burnin = burnin, iter = iter, keep = keep) )
results_1k[i,] <- c(k, perplexity(fitted, newdata = valid_set))
}
return(results_1k)
}
})
stopCluster(cluster)
results_df <- as.data.frame(results)
ggplot(results_df, aes(x = k, y = perplexity)) +
geom_point() +
geom_smooth(se = FALSE) +
ggtitle("5-fold cross-validation of topic modelling with the 'Associated Press' dataset",
"(ie five different models fit for each candidate number of topics)") +
labs(x = "Candidate number of topics", y = "Perplexity when fitting the trained model to the hold-out set")
We see in the results that 200 topics is too many and has some over-fitting, and 50 is too few. Of the numbers of topics tried, 100 is the best, with the lowest average perplexity on the five different hold-out sets.
I wrote the answer on CV that you refer to, here's a bit more detail:
seq(2, 100, by =1) simply creates a number sequence from 2 to 100 by ones, so 2, 3, 4, 5, ... 100. Those are the numbers of topics that I want to use in the models. One model with 2 topics, another with 3 topics, another with 4 topics and so on to 100 topics.
AssociatedPress[21:30] is simply a subset of the built-in data in the topicmodels package. I just used a subset in that example so that it would run faster.
Regarding the general question of optimal topic numbers, I now follow the example of Martin
Ponweiser on Model Selection by Harmonic Mean (4.3.3 in his thesis, which is here: http://epub.wu.ac.at/3558/1/main.pdf). Here's how I do it at the moment:
library(topicmodels)
#
# get some of the example data that's bundled with the package
#
data("AssociatedPress", package = "topicmodels")
harmonicMean <- function(logLikelihoods, precision=2000L) {
library("Rmpfr")
llMed <- median(logLikelihoods)
as.double(llMed - log(mean(exp(-mpfr(logLikelihoods,
prec = precision) + llMed))))
}
# The log-likelihood values are then determined by first fitting the model using for example
k = 20
burnin = 1000
iter = 1000
keep = 50
fitted <- LDA(AssociatedPress[21:30,], k = k, method = "Gibbs",control = list(burnin = burnin, iter = iter, keep = keep) )
# where keep indicates that every keep iteration the log-likelihood is evaluated and stored. This returns all log-likelihood values including burnin, i.e., these need to be omitted before calculating the harmonic mean:
logLiks <- fitted#logLiks[-c(1:(burnin/keep))]
# assuming that burnin is a multiple of keep and
harmonicMean(logLiks)
So to do this over a sequence of topic models with different numbers of topics...
# generate numerous topic models with different numbers of topics
sequ <- seq(2, 50, 1) # in this case a sequence of numbers from 1 to 50, by ones.
fitted_many <- lapply(sequ, function(k) LDA(AssociatedPress[21:30,], k = k, method = "Gibbs",control = list(burnin = burnin, iter = iter, keep = keep) ))
# extract logliks from each topic
logLiks_many <- lapply(fitted_many, function(L) L#logLiks[-c(1:(burnin/keep))])
# compute harmonic means
hm_many <- sapply(logLiks_many, function(h) harmonicMean(h))
# inspect
plot(sequ, hm_many, type = "l")
# compute optimum number of topics
sequ[which.max(hm_many)]
## 6
Here's the output, with numbers of topics along the x-axis, indicating that 6 topics is optimum.
Cross-validation of topic models is pretty well documented in the docs that come with the package, see here for example: http://cran.r-project.org/web/packages/topicmodels/vignettes/topicmodels.pdf Give that a try and then come back with a more specific question about coding CV with topic models.