## Data consist of 150 samples of organic molecular mixtures analyzed by
## pyrolysis gas chromatography-mass spectrometry (py-GC-MS).
## Each data set has the scan numbers in the rows and the mass to charge ratio (m/z)
## values in the columns.
## The data values are the raw intensities as measured by py-GC-MS.
## Each sample has either an abiotic (A) or biotic (B) origin.
## Purpose is to determine classification rules to predict whether the samples are
## biotic or abiotic.
## Purpose is also to determine the features, m/z and scan numbers, that discriminate
## between the biotic and the abiotic groups.
## Running Monte Carlo simulations using random forest.
## The data are preprocessed before we apply random forest.
library(dplyr) # for dataframe computation##
## Attaching package: 'dplyr'## The following objects are masked from 'package:stats':
##
## filter, lag## The following objects are masked from 'package:base':
##
## intersect, setdiff, setequal, unionlibrary(MALDIquant) # for chemometrics processing##
## This is MALDIquant version 1.22.2
## Quantitative Analysis of Mass Spectrometry Data
## See '?MALDIquant' for more information about this package.library(caret) # for machine learning## Loading required package: ggplot2## Loading required package: latticelibrary(mlr3) # for machine learning
library("mlr3verse") # for machine learning
library("mlr3learners")# for machine learning
library("mlr3tuning") # for machine learning## Loading required package: paradoxlibrary("data.table") # for rbindlist##
## Attaching package: 'data.table'## The following objects are masked from 'package:dplyr':
##
## between, first, last#Data preparation
setwd("C:/Desktop/Templeton_grant_research/Second_paper_material/Data2022")
species=c(rep("A",5),"B", "A","A","B","B","A","C", rep("B",5),rep("C",4),rep("B",4),"A",
rep("B",11),"A","A","B","A","A","B","B","A",rep("B",3),"A","B",rep("A",6),
rep("B",3),"A","A","B","B",rep("A",4),"B",rep("A",5),"B",rep("A",10),
rep("B",4),rep("A",5),rep("B",3),rep("A",3),rep("B",4),rep("A",8),"B",
"A","A","B","C","C","A",rep("B",3),"A","B", "B","A","B",rep("A",3),"B","A",
rep("A",7),"B","A","B")
species2=as.numeric(as.factor(species))
ind=which(species2=="3")
species_n=species2[-ind]
#Reading in the data is based on the code found in:
## "How to import multiple .csv files simultaneously in R and create a data frame"
## by Dahna, A., datascience+, March 09, 2019
#https://datascienceplus.com/how-to-import-multiple-csv-files-simultaneously-in-r-and-create-a-data-frame/
species_names <- list.files()
species_names=species_names[-ind]
z=lapply(species_names, read.delim) #read in all of 134 datasets
setwd("C:/Desktop/Templeton_grant_research/Second_paper_material/Data2023")
species_names2 <- list.files()
z2=lapply(species_names2, read.delim) #read in all of 16 datasets
NN=700 #number of m/z values
mass=seq(50,NN,1) #m/z
MM=3240 #number of scans
ndim=length(species_names)
ndim2=length(species_names2)
#Scan number:m/z:intensity values for 134 samples
M=list()
for(i in 1:ndim){
colnames(z[[i]])="mass"
#remove commas
z[[i]]=data.frame(do.call("rbind", strsplit(as.character(z[[i]]$mass), ",",
fixed = TRUE)))
z[[i]]=data.frame(lapply(z[[i]],as.numeric))
colnames(z[[i]])=c("scan",as.character(seq(50,NN,1)))
z[[i]]=z[[i]] %>% slice(1:MM) #selects the first MM rows
M[[i]]=z[[i]]
}
#Scan number:m/z:intensity values for 16 samples
M2=list()
for(i in 1:ndim2){
colnames(z2[[i]])="mass"
#remove commas
z2[[i]]=data.frame(do.call("rbind", strsplit(as.character(z2[[i]]$mass), ",",
fixed = TRUE)))
z2[[i]]=data.frame(lapply(z2[[i]],as.numeric))
colnames(z2[[i]])=c("scan",as.character(seq(50,NN,1)))
z2[[i]]=z2[[i]] %>% slice(1:MM) #selects the first MM rows
M2[[i]]=z2[[i]]
}
M_new=c(M,M2)
N=length(M_new)
species_n2=rep(2,16)
species_names_new=c(species_names,species_names2)
y=c(species_n,species_n2)
y=factor(y,labels=c("A","B"))
#########################################################################################
#Preprocessing
#Detect the significant peaks as local max above four times the signal to noise ratio
MZ=151 #number of m/z values to use
#Create Chromatograms for each sample and each m/z value inside each sample
sample_list=list()
sample_location_list=list()
suppressWarnings({
for (i in 1:N){
S=list()
for(j in 1:MZ){
S[[j]] = createMassSpectrum(mass=seq(1,MM,1), intensity=unlist(M_new[[i]][,j+1]),
metaData=list(name="Chrom"))
}
chrom = transformIntensity(S,method="sqrt") #stabilize the variance
chrom = smoothIntensity(chrom, method="MovingAverage",halfWindowSize=5)#smooth the data
chrom = removeBaseline(chrom, method="SNIP") #remove the baseline
# Put the processed chromatograms back into a dataframe
processed_chrom_list=list()
for (k in 1:MZ){
processed_chrom_list[[k]] = as.numeric(intensity(chrom[[k]]))
}
processed_mass_dataframe = as.data.frame(do.call(rbind, processed_chrom_list))
Ma=max(processed_mass_dataframe)
Mi=min(processed_mass_dataframe)
#Normalize across sample
processed_mass_dataframe = t((processed_mass_dataframe - Mi)/(Ma - Mi))
processed_mass_dataframe = as.data.frame(processed_mass_dataframe)
S2=list()
for(t in 1:MZ){
S2[[t]] = createMassSpectrum(mass=seq(1,MM,1),
intensity=processed_mass_dataframe[, t],
metaData=list(name="Chrom_normalized"))
}
peaks = detectPeaks(S2, method="MAD", halfWindowSize=20, SNR=4)
peak_list=list()
for (tt in 1:MZ){
v=numeric(MM)
scan_number=mass(peaks[[tt]])
v[scan_number] = intensity(peaks[[tt]])
peak_list[[tt]] = v
}
processed_peaks = t(as.data.frame(do.call(rbind, peak_list)))
row.names(processed_peaks)=c(paste0("R", 1:MM))
colnames(processed_peaks)=c(paste0("M", 50:(MZ+50-1)))
processed_peaks2=as.data.frame(processed_peaks) %>%
mutate(bin = cut(seq(1,MM,1),breaks=180,dig.lab = 6)) %>% # bin the peaks by scan #
group_by(bin) %>%
summarise_all(max)
sample_list[[i]] = processed_peaks2
sample_location_list[[i]] = processed_peaks
}
})
#Scan # and mass spectrum for each sample
mass_scan_list_loc=list()
for(i in 1:N){
sm_loc=as.numeric(unlist(sample_location_list[[i]]))
mass_scan_list_loc[[i]]=sm_loc
}
#Sample vs mass/scan numbers
#Put the samples into a dataframe
data_mass_scan_loc = do.call(rbind, mass_scan_list_loc)
bin2=as.character(seq(1,3240,1))
MS=as.character(seq(50,(MZ+50-1),1))
colnames(data_mass_scan_loc) = paste(outer(bin2, MS, paste, sep = ';'))
data_mass_scan_new=as.data.frame(ifelse(data_mass_scan_loc > 0,1,0))
MZ_name=c(paste0(";",50:(MZ+50-1)))
MZ_name2=c(paste0(50:(MZ+50-1)))
MZ_name3=c(paste0(".",50:(MZ+50-1)))
bin3 = unique(cut(seq(1,MM,1),breaks=180,dig.lab = 6))
#Finding the endpoints in bin4 is based on code found in
#"Obtain endpoints from interval that is factor variable"
#https://stackoverflow.com/questions/40665240/obtain-endpoints-from-interval-that-is-factor-variable
#Stack Overflow:
bin4=unique(as.numeric(unlist( strsplit( gsub( "[][(]" , "", levels(bin3)) , ","))))
#Determine the mean scan number for each bin and each
#m/z value across the training samples
mean_scan_name = list()
for (i in 1:MZ){
data_mass_scan_new2 = data_mass_scan_new %>% select(ends_with(MZ_name[i]))
scan_name=sub(basename(colnames(data_mass_scan_new2)),pattern = MZ_name[i],
replacement = "" , fixed = TRUE)
colnames(data_mass_scan_new2) = scan_name #name the columns with the scan numbers
count_elements=function(x){
y=sum(x)
}
#Count the number of elements for each scan number across the training samples
n_elements=as.numeric(apply(as.matrix(data_mass_scan_new2),2,count_elements))
#Repeat the nonzero scan numbers with its frequency
vec=as.numeric(rep(colnames(data_mass_scan_new2), times=n_elements))
scan_dataframe=list() #scan numbers for each bin for the ith m/z value selected
indd1=1:floor(bin4[2])
ind_L1=which(vec %in% indd1)
Lt1=vec[ind_L1]
#Mean number of scan number in the first bin
scan_mean1=if(length(Lt1)>0){round(mean(Lt1))
}else {-1}
DD1=data.frame(matrix(ncol = 1, nrow = 1))
colnames(DD1)= paste(outer(as.character(scan_mean1),MZ_name2[i], paste, sep = ';'))
scan_dataframe[[1]]=DD1
for (j in 2:(length(bin4)-1)){
indd=(floor(bin4[j])+1):floor(bin4[j+1])
ind_L=which(vec %in% indd)
Lt=vec[ind_L]
#Mean number of scan number in each bin
scan_mean=if(length(Lt)>0){round(mean(Lt))
}else {-j} #to give empty columns a unique name
DD=data.frame(matrix(ncol = 1, nrow = 1))
colnames(DD)= paste(outer(as.character(scan_mean),MZ_name2[i],
paste, sep = ';'))
scan_dataframe[[j]]=DD
}
#The mean scan number for each bin of scans for the ith m/z value and each sample
mean_scan_name[[i]]=do.call(cbind, scan_dataframe)
}
# To get the column names of the interleaved m/z values and scan numbers as columns
data_mass_scan_interl=do.call(cbind, mean_scan_name)
names_new=colnames(data_mass_scan_interl)
#Scan # and mass spectrum for each sample
mass_scan_list=list()
for(i in 1:N){
sm=as.numeric(unlist(sample_list[[i]]))[181:(180*(MZ+1))]
mass_scan_list[[i]]=sm
}
#Sample vs mass/scan numbers
data_preprocessed = do.call(rbind, mass_scan_list) #put the samples into a dataframe
colnames(data_preprocessed ) = names_new
data_preprocessed = as.data.frame(data_preprocessed )
count_nonzero=function(x){(length(which(x > 0)))/(dim(data_preprocessed)[2])}
#Ratio of nonzero feature values for each observation
Perc_Nnonzero=apply(data_preprocessed ,1,count_nonzero)
data_preprocessed = data_preprocessed %>% mutate(Perc_Nnonzero)
colnames(data_preprocessed) = make.names(colnames(data_preprocessed))
#Removing variables with near zero variance, nearZeroVar, is based on the book
#"Applied Predictive Modeling" by Kuhn, M. and Johnson, K.,
#Springer, New York, 2013
#Detect features with near zero variance
near_zero_variance = nearZeroVar(data_preprocessed)
#Remove features with near zero variance
data_preprocessed = data_preprocessed[, -near_zero_variance]
dim(data_preprocessed) #new dimension ## [1] 150 9165#Contains all samples with the selected features and corresponding y-values (A or B)
training_transformed=data.frame(data_preprocessed,y=y)
#########################################################################################
#Machine learning
#The machine learning R-code is based on the mlr3 library and the book
## https://mlr3book.mlr-org.com/, "Flexible and Robust Machine Learning Using mlr3 in R"
#by Lang, M. et al
#Create a task
task=as_task_classif(training_transformed, target = "y", positive="B")
#Using stratified random sampling for each resampling
task$col_roles$stratum = "y"
#Determine importance variables
#Use the results from the random forest model in previous file with
#mtry=1688 and num.trees=2658
learner2 = lrn("classif.ranger", id = "rf",predict_type="prob",importance = "impurity")
learner2$param_set$values$mtry = 1688
learner2$param_set$values$num.trees = 2658
set.seed(99)
learner2$train(task)
#Importance variables in ranked order
filter = flt("importance", learner = learner2)
filter$calculate(task)
dff=as.data.table(filter)###Monte Carlo (MC) simulations using random forest
set.seed(99)
outer_loop = rsmp("cv", folds = 10)
dff.list=list() #List of importance variables from the MC simulations
Test.list=list() #List of test errors from the MC simulations
for (k in 1: 50){
#Stratified random sampling
inTraining = createDataPartition(y, p = 0.75, list = FALSE)
#Training and testing indices
train_set = as.vector(inTraining)
test_set= setdiff(seq(1,150),train_set)
y_train=y[train_set]
y_test=y[test_set]
N1=length(train_set)
N2=length(test_set)
#Create a task
task=as_task_classif(training_transformed[train_set,], target = "y", positive="B")
#Using stratified random sampling for each resampling
task$col_roles$stratum = "y"
outer_loop$instantiate(task)
#Create the learner
learner = lrn("classif.ranger", id = "rf",predict_type="prob",
importance = "impurity")
graph = po("removeconstants") %>>% learner
graph_learner = as_learner(graph)
#graph_learner$param_set$ids()
#Random forest
graph_learner$param_set$values$rf.mtry = to_tune(p_int(1,2000))
graph_learner$param_set$values$rf.num.trees = to_tune(p_int(1,8000))
graph_learner$id = "graph_learner"
RS = tnr("random_search")
future::plan("multisession")
#Using stratified random sampling inside each fold for tuning the parameters
instance = tune(
tuner = RS,
task = task,
learner = graph_learner,
resampling = outer_loop,
measure = msr("classif.ce"),
term_evals = 20
)
learner3 = lrn("classif.ranger", id = "rf",predict_type="prob",
importance = "impurity")
learner3$param_set$values$mtry = as.numeric(instance$result_learner_param_vals[7])
learner3$param_set$values$num.trees = as.numeric(instance$result_learner_param_vals[8])
#Train the model
learner3$train(task)
#Prediction on the test set
prediction_rf = learner3$predict_newdata(newdata = training_transformed[test_set,])
measure = msr("classif.ce")
Test.list[[k]] = as.numeric(prediction_rf$score(measure))
#Importance variables
filter = flt("importance", learner = learner3)
filter$calculate(task)
dff.list[[k]]=as.data.table(filter)
}
df.list = do.call(cbind, dff.list)
df.test = do.call(cbind, Test.list)mean(as.numeric(df.test))# average test error## [1] 0.1288889sd(as.numeric(df.test))## [1] 0.04819754df.list[[1]][1:10]## [1] "X907.92" "X1447.167" "X1176.153" "X1502.181" "X908.91" "X839.120"
## [7] "X1555.181" "X2454.170" "X1073.54" "X1734.157"###########################################################################
#Determine the importance variables that have lowest average rank across the
#Monte Carlo samples and that are among the original importance variables
K=(dim(training_transformed)[2]-1)
variables=colnames(training_transformed)[1:K]
ID=seq(1,K,1)
variables2=data.frame(variables,ID)
feature_rank = list() #Arrange by features and include their ranks
for (i in 1:50){
ind2=2*i-1
fn = as.character(unlist(as.data.frame(df.list)[,ind2]))
feature_rank2 = list()
for (j in 1:K){
ID2=which(variables2[,1] %in% fn[j])
feature_rank2[[j]] = data.frame(ID2,j)
colnames(feature_rank2[[j]]) = c("Feature","Rank")
}
feature_rank3 = do.call(rbind, feature_rank2) #put each feature in ranked order
feature_rank[[i]] = (feature_rank3 %>% arrange(Feature))[,2]
}
#Rank for each feature across the MC samples
feature_rank4 = data.frame(ID,do.call(cbind, feature_rank))
#Calculate the mean rank for each feature across the MC samples
feature_rank4 =feature_rank4 %>% mutate(mean_rank = apply(feature_rank4[,2:51],1,mean))
#Order the features according to the lowest mean rank across the MC samples
feature_rank5= feature_rank4 %>% arrange(mean_rank)
DIMM=60
vari = feature_rank5[1:DIMM,1]
#Ranked importance variables average across the MC samples
average_imp=variables2[vari,]
# The first DIMM importance variables in the original sample
base=as.character(unlist(dff[1:DIMM,1]))
#Lowest ranked importance variables in the original sample that are also among
#the lowest ranked importance variables across the MC samples
Av=intersect(base,average_imp[,1])
Av[1:30]## [1] "X1447.167" "X1176.153" "X1502.181" "X1555.181" "X907.92" "X908.91"
## [7] "X2454.170" "X2171.118" "X910.121" "X2098.190" "X1073.54" "X840.105"
## [13] "X1842.159" "X1195.117" "X2658.183" "X1972.173" "X839.120" "X856.117"
## [19] "X856.118" "X3124.198" "X1867.195" "X2435.71" "X907.120" "X2438.184"
## [25] "X1194.118" "X837.119" "X3050.154" "X1556.166" "X531.110" "X2026.141"