From bab5294457058e94946f48c2241e6513fa81e873 Mon Sep 17 00:00:00 2001 From: vlalwani90 <40067051+vlalwani90@users.noreply.github.com> Date: Sat, 9 Jun 2018 12:02:32 +0530 Subject: [PATCH] Add files via upload --- .../Forecast_best of 7.R | 207 ++++++++++++++++++ .../M4-Method-Description.pdf | Bin 0 -> 372596 bytes 2 files changed, 207 insertions(+) create mode 100644 M4 best of 7 forecast files/Forecast_best of 7.R create mode 100644 M4 best of 7 forecast files/M4-Method-Description.pdf diff --git a/M4 best of 7 forecast files/Forecast_best of 7.R b/M4 best of 7 forecast files/Forecast_best of 7.R new file mode 100644 index 0000000..66f5067 --- /dev/null +++ b/M4 best of 7 forecast files/Forecast_best of 7.R @@ -0,0 +1,207 @@ +require(dplyr) +require(forecast) +require(tidyr) +require(svMisc) +# Run this code to load the dataset. A prompt will appear. +#Select the data file to load in R environment. +#Dataset of only one type of frequency can be used at a given time. +Data_set_m4 <- read.csv(file.choose(),stringsAsFactors = F) Data_set_m4 <- remove_empty(Data_set_m4, "cols") + +#Converting row wise time series to column wise in order to make it a tidy data set +Data_set_m4.long <- as.data.frame(t(Data_set_m4[,-1])) +remove(Data_set_m4) + +#SOME NOTES BEFORE BEGGINING THE FORECASTING CODE +# Use the code from line no 26 to 97 for yearly, quarterly, hourly and monthly frequency. +# Use the code from line no 100 to 154 for daily and weekly frequency data (upto series no 295 for weekly) +# Use the code after that for weekly data from series no 296 onwards +# The loop breaks down sometimes as some methods fail for some time series +#(specifically for quarterly variables no 9454 and 21168.) +#Note the value of i where the loop breaks down. +#Just run the code manually and then replace the intial value of i in the loop with next value (e.g. 9455) and rerun the loop + + +#Some user Inputs required for later use. + +#Frequency of the data set +data_frequency <- 5 # Use 4 for quarterly | 1 for yearly | 12 for monthly| 24 for hourly | 365.25/7 for weekly | 5 for daily financial and 7 for others + +#Fraction of dataset to split into training and test sets +frac_data_train <- .9 # .8 for quarterly, yearly & monthly | .9 for hourly, weekly and daily +#No. of final required forecasts +no_req_forecasts <- 14 # As per M4 rules according to data frequency +# A parameter for seasonal frequency of dataset +seasonal_freq <- c(5) # 4 for quarterly | 1 for yearly | 24 & 168 (c(24,168)) for hourly |365.25/7 for weekly | 5 for daily financial and 7 for others + +# Empty list to store combined forecasts +combined_forecasts <- list() +#Loop to run the entire forecasting procedure across all columns on column at a time +for(i in 1:(ncol(Data_set_m4.long))) +{ + +progress(i,max.value = ncol(Data_set_m4.long)) # Progress Bar for loop + +#Convert column i to a seasonal time series object +V1ts <- msts(Data_set_m4.long[,i][!is.na(Data_set_m4.long[,i])], seasonal.periods = seasonal_freq,ts.frequency = data_frequency) + +#Split the time series in column i into training and test columns +trainingdim <- 1:(floor((frac_data_train*length(V1ts)))) +V1train <- ts(V1ts[trainingdim],frequency = data_frequency) +V1test <- V1ts[-trainingdim] +no_forecasts <- length(V1test) + +# The list named accuracy_stats stores the out-of-sample accuracy statistics for forecasts generated +# using training set and compared with the test set +accuracy_stats <- list() +accuracy_stats$ets <- accuracy(forecast(stlm(V1train,s.window = "periodic",method = "ets"),no_forecasts),V1test) +accuracy_stats$arima <- accuracy(forecast(stlm(V1train,s.window = "periodic",method = "arima"),no_forecasts),V1test) +accuracy_stats$neural <- accuracy(forecast(nnetar(V1train),no_forecasts),V1test) +accuracy_stats$seasnaive <- accuracy(snaive(V1train,no_forecasts),V1test) +accuracy_stats$theta <- accuracy(thetaf(V1train,no_forecasts),V1test) +accuracy_stats$naive <- accuracy(naive(V1train,no_forecasts),V1test) +accuracy_stats$randomwalk <- accuracy(rwf(V1train,drift = T,no_forecasts),V1test) + +# Retrieve MAPE of all seven methods used to forecast +mape_all_methods <- sapply(accuracy_stats, function(x){x[10]}) + +# Select top performing forecasting methods according to MAPE (> median) +# This leads to a minimum of one and a maximum of 3 selected methods +mape_selected <- if(length(names(which(mape_all_methods < median(mape_all_methods)))) != 0) + { names(which(mape_all_methods < median(mape_all_methods)))} else {names(mape_all_methods) } + +# Assign weights to each method according to their MAPE in the previous step. +# The higher the MAPE, the lower the weight. See document for the formula used to calculate weights. +acc_stats_select <- sapply(accuracy_stats[mape_selected], function(x){x[10]}) # extract MAPE of selected methods + +acc_stats_weight <- prop.table(sapply(acc_stats_select,function(x){sum(acc_stats_select)-x})^3) # Calculate weights +acc_stats_weight <- ifelse(acc_stats_weight %in% NaN,1,acc_stats_weight) # If only one method is selected, the previous code returns NaN. This code converts the NaN to 1. + +# Retrain the models using full data set. +final_forecast <- list() +final_forecast$ets <- forecast(stlm(V1ts,s.window = "periodic",method = "ets"),no_req_forecasts)$mean +final_forecast$arima <- forecast(stlm(V1ts,s.window = "periodic",method = "arima"),no_req_forecasts)$mean +final_forecast$neural <- forecast(nnetar(V1ts),no_req_forecasts)$mean +final_forecast$seasnaive <- snaive(V1ts,no_req_forecasts)$mean +final_forecast$theta <- thetaf(V1ts,no_req_forecasts)$mean +final_forecast$naive <- naive(V1ts,no_req_forecasts)$mean +final_forecast$randomwalk <- rwf(V1ts,drift = T,no_req_forecasts)$mean + +# Extract the forecasts of selected methods +forecasts_selected <- sapply(final_forecast[mape_selected],function(x){x[1:no_req_forecasts]}) +# Calculate a weighted average of forecasts from the selected methods. This is the step +# where we obtain the final forecasts. The loop Repeats this procedure for all i columns. +combined_forecasts[[i]] <- rowSums(sweep(forecasts_selected,2,acc_stats_weight,FUN = "*")) +} +#Combine all forecasts row wise (M4 format) and export them to csv. Run the code again for different frequencies. +names(combined_forecasts) <- lapply(1:length(combined_forecasts),function(x){ paste("W",x,sep="")}) +write.csv(do.call(rbind,combined_forecasts),file="weekly.csv") + + +# CODE FOR DAILY AND WEEKLY DATA + +#Frequency of the data set +data_frequency <- 5 # Use 4 for quarterly | 1 for yearly | 12 for monthly| 24 for hourly | 365.25/7 for weekly | 5 for daily financial and 7 for others + +#Fraction of dataset to split into training and test sets +frac_data_train <- .9 # .8 for quarterly, yearly & monthly | .9 for hourly, weekly and daily +#No. of final required forecasts +no_req_forecasts <- 14 # As per M4 rules according to data frequency +# A parameter for seasonal frequency of dataset +seasonal_freq <- c(5) # 4 for quarterly | 1 for yearly | 24 & 168 (c(24,168)) for hourly |365.25/7 for weekly | 5 for daily financial and 7 for others + +# Empty list to store combined forecasts +combined_forecasts <- list() +#Loop to run the entire forecasting procedure across all columns on column at a time +for(i in 1:(ncol(Data_set_m4.long))) +{ + progress(i,max.value = ncol(Data_set_m4.long)) + V1ts <- msts(Data_set_m4.long[,i][!is.na(Data_set_m4.long[,i])], seasonal.periods = seasonal_freq,ts.frequency = data_frequency) + + trainingdim <- 1:(floor((frac_data_train*length(V1ts)))) + V1train <- ts(V1ts[trainingdim],frequency = data_frequency) + V1test <- V1ts[-trainingdim] + no_forecasts <- length(V1test) + accuracy_stats <- list() + accuracy_stats$ets <- accuracy(stlf(V1train,h = no_forecasts,s.window = data_frequency,method = "ets"),V1test) + accuracy_stats$arima <- accuracy(stlf(V1train,h = no_forecasts,s.window = data_frequency,method = "arima"),V1test) + accuracy_stats$neural <- accuracy(forecast(nnetar(V1train),no_forecasts),V1test) + accuracy_stats$seasnaive <- accuracy(snaive(V1train,no_forecasts),V1test) + accuracy_stats$naive <- accuracy(naive(V1train,no_forecasts),V1test) + accuracy_stats$randomwalk <- accuracy(rwf(V1train,drift = T,no_forecasts),V1test) + + mape_all_methods <- sapply(accuracy_stats, function(x){x[10]}) + + mape_selected <- if(length(names(which(mape_all_methods < median(mape_all_methods)))) != 0) + { names(which(mape_all_methods < median(mape_all_methods)))} else {names(mape_all_methods) } + + acc_stats_select <- sapply(accuracy_stats[mape_selected], function(x){x[10]}) + acc_stats_weight <- prop.table(sapply(acc_stats_select,function(x){sum(acc_stats_select)-x})^3) + acc_stats_weight <- ifelse(acc_stats_weight %in% NaN,1,acc_stats_weight) + final_forecast <- list() + final_forecast$ets <- stlf(V1ts,h = no_req_forecasts,s.window = data_frequency,method = "ets")$mean + final_forecast$arima <- stlf(V1ts,h = no_req_forecasts,s.window = data_frequency,method = "arima")$mean + final_forecast$neural <- forecast(nnetar(V1ts),no_req_forecasts)$mean + final_forecast$seasnaive <- snaive(V1ts,no_req_forecasts)$mean + final_forecast$naive <- naive(V1ts,no_req_forecasts)$mean + final_forecast$randomwalk <- rwf(V1ts,drift = T,no_req_forecasts)$mean + + forecasts_selected <- sapply(final_forecast[mape_selected],function(x){x[1:no_req_forecasts]}) + + combined_forecasts[[i]] <- rowSums(sweep(forecasts_selected,2,acc_stats_weight,FUN = "*")) +} +#Combine all forecasts row wise (M4 format) and export them to csv. Run the code again for different frequencies. +names(combined_forecasts) <- lapply(1:length(combined_forecasts),function(x){ paste("W",x,sep="")}) +write.csv(do.call(rbind,combined_forecasts),file="weekly.csv") + + +## CODE FOR WEEKLY DATA Variable no 296 onwards because the previous code only works till variable 295 + +#Frequency of the data set +data_frequency <- 5 # Use 4 for quarterly | 1 for yearly | 12 for monthly| 24 for hourly | 365.25/7 for weekly | 5 for daily financial and 7 for others + +#Fraction of dataset to split into training and test sets +frac_data_train <- .9 # .8 for quarterly, yearly & monthly | .9 for hourly, weekly and daily +#No. of final required forecasts +no_req_forecasts <- 14 # As per M4 rules according to data frequency +# A parameter for seasonal frequency of dataset +seasonal_freq <- c(5) # 4 for quarterly | 1 for yearly | 24 & 168 (c(24,168)) for hourly |365.25/7 for weekly | 5 for daily financial and 7 for others + +# Empty list to store combined forecasts +combined_forecasts <- list() +#Loop to run the entire forecasting procedure across all columns on column at a time +for(i in 1:(ncol(Data_set_m4.long))) +{ + progress(i,max.value = ncol(Data_set_m4.long)) + V1ts <- msts(Data_set_m4.long[,i][!is.na(Data_set_m4.long[,i])], seasonal.periods = seasonal_freq,ts.frequency = data_frequency) + + trainingdim <- 1:(floor((frac_data_train*length(V1ts)))) + V1train <- ts(V1ts[trainingdim],frequency = data_frequency) + V1test <- V1ts[-trainingdim] + no_forecasts <- length(V1test) + accuracy_stats <- list() + accuracy_stats$neural <- accuracy(forecast(nnetar(V1train),no_forecasts),V1test) + accuracy_stats$seasnaive <- accuracy(snaive(V1train,no_forecasts),V1test) + accuracy_stats$naive <- accuracy(naive(V1train,no_forecasts),V1test) + accuracy_stats$randomwalk <- accuracy(rwf(V1train,drift = T,no_forecasts),V1test) + + mape_all_methods <- sapply(accuracy_stats, function(x){x[10]}) + + mape_selected <- if(length(names(which(mape_all_methods < median(mape_all_methods)))) != 0) + { names(which(mape_all_methods < median(mape_all_methods)))} else {names(mape_all_methods) } + + acc_stats_select <- sapply(accuracy_stats[mape_selected], function(x){x[10]}) + acc_stats_weight <- prop.table(sapply(acc_stats_select,function(x){sum(acc_stats_select)-x})^3) + acc_stats_weight <- ifelse(acc_stats_weight %in% NaN,1,acc_stats_weight) + final_forecast <- list() + final_forecast$neural <- forecast(nnetar(V1ts),no_req_forecasts)$mean + final_forecast$seasnaive <- snaive(V1ts,no_req_forecasts)$mean + final_forecast$naive <- naive(V1ts,no_req_forecasts)$mean + final_forecast$randomwalk <- rwf(V1ts,drift = T,no_req_forecasts)$mean + + forecasts_selected <- sapply(final_forecast[mape_selected],function(x){x[1:no_req_forecasts]}) + + combined_forecasts[[i]] <- rowSums(sweep(forecasts_selected,2,acc_stats_weight,FUN = "*")) +} +#Combine all forecasts row wise (M4 format) and export them to csv. 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