commit aad558045f2fb349feffa4c627ac66a159f10d07
Author: ami <ami@post.ami.sc>
Date:   Fri Jan 10 23:05:22 2025 -0500

    Upload files

diff --git a/Models.png b/Models.png
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diff --git a/R_Logo.png b/R_Logo.png
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diff --git a/Test_Genotype_Data.csv b/Test_Genotype_Data.csv
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index 0000000..26a7231
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index 0000000..ed853d5
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diff --git a/bigstatsR_tutorial.R b/bigstatsR_tutorial.R
new file mode 100755
index 0000000..5c7cdb8
--- /dev/null
+++ b/bigstatsR_tutorial.R
@@ -0,0 +1,78 @@
+library(bigreadr)
+library(bigstatsr)
+library(data.table)
+library(impute)
+
+# Function for checking the number of missing values in the dataframe.
+check_na <- function(X, ind) {
+  sum(is.na(X[, ind]))
+}
+
+# Impute function to be used in data subsets.
+impute_func <- function(X, ind) {
+  round(t(impute::impute.knn(t(X[, ind]), k = 50, rowmax = 1, colmax = 1)$data), 0)
+}
+
+# Read only the first row of the file.
+# This allows us to obtain the number of columns.
+first_row <- fread2("/home/ami/Projects/P0004 - caret and bigstatsR Workshop/Test_Genotype_Data.csv",
+                    nrows = 1)
+col_num <- ncol(first_row)
+
+# Read the entire file using big_read.
+gen_data <- big_read("/home/ami/Projects/P0004 - caret and bigstatsR Workshop/Test_Genotype_Data.csv",
+                     select = 1:col_num,
+                     backingfile = "G2F_Genotype_Data",
+                     progress = TRUE,
+                     type = "double")
+
+# Examine the data.
+gen_data
+gen_data[1:10, 1:10]
+str(gen_data)
+
+sum(is.na(gen_data))
+
+# Check how many missing values we have.
+big_apply(gen_data,
+          a.FUN = check_na,
+          a.combine = "+",
+          ncores = 2)
+
+# Subset the dataframe into sets of 100 columns.
+sub_idx <- split(1:col_num, ceiling(seq_along(1:col_num) / 100))
+for (i in 1:length(sub_idx)) {
+
+  # Display current subset being evaluated.
+  print(i)
+
+  # Get the Genotype Data for the current subset.
+  gen_subset <- gen_data[, sub_idx[[i]]]
+
+  gen_imputed <- round(t(impute::impute.knn(t(gen_subset), k = 50, rowmax = 1, colmax = 1)$data), 0)
+
+  # Apply the imputing function to the current subset.
+  # gen_imputed <- big_apply(gen_subset,
+  #                          a.FUN = impute_func,
+  #                          a.combine = "c",
+  #                          ncores = 2)
+
+  # "Save" imputed data in the original dataframe.
+  gen_data[, sub_idx[[i]]] <- gen_imputed
+}
+
+# Now, verify there are no missing values anymore.
+big_apply(gen_data,
+          a.FUN = check_na,
+          a.combine = "+",
+          ncores = 2)
+
+# Write the newly-imputed data to a new file.
+big_write(gen_data,
+          "/home/ami/Projects/P0004 - caret and bigstatsR Workshop/Test_Genotype_Data_Imputed.csv",
+          every_nrow = 100,
+          progress = interactive())
+
+# Remove backing files.
+system("rm *.bk")
+system("rm *.rds")
diff --git a/caret_tutorial.R b/caret_tutorial.R
new file mode 100755
index 0000000..c393e27
--- /dev/null
+++ b/caret_tutorial.R
@@ -0,0 +1,154 @@
+library(caret)
+library(data.table)
+
+## Data Loading [Predictors]
+
+# Genotype Data
+gen_path <- "/home/ami/Projects/P0004 - caret and bigstatsR Workshop/Test_Genotype_Data_Imputed.csv"
+gen_data <- fread(gen_path, sep = ",", header = FALSE)
+
+## Data Loading [Traits]
+
+# Phenotype Data
+phn_path <- "/home/ami/Projects/P0004 - caret and bigstatsR Workshop/Test_Phenotype_Data.csv"
+phn_data <- fread(phn_path, sep = ",", header = FALSE)
+
+## Data Overview
+
+# Preview of Genotype Data.
+str(gen_data)
+gen_data[1:10, 1:10]
+
+# Preview of Phenotype Data.
+str(phn_data)
+phn_data[1:10, 1]
+
+# Find missing data (if any) in the loaded datasets.
+sum(is.na(gen_data))
+sum(is.na(phn_data))
+
+## Pre-Processing
+
+# Set random seed for reproducibility.
+set.seed(226)
+
+# Perform a 80% / 20% split of the data.
+# Get the index for the rows to be used in the training data.
+train_index <- createDataPartition(phn_data$V1,
+                                   p = 0.8,
+                                   list = FALSE)
+train_index
+
+# Now, retrieve the corresponding training and testing data.
+x_train <- gen_data[train_index,]
+x_test <- gen_data[-train_index,]
+y_train <- phn_data[train_index,]
+y_test <- phn_data[-train_index,]
+
+## Model Training [glmnet]
+
+# Define a custom tuning grid.
+tune_grid <- expand.grid(alpha = seq(0.0001, 1, length = 5),
+                         lambda = 5)
+
+# Parameter tuning.
+param_tune <- trainControl(method = "repeatedcv",
+                           number = 2,
+                           repeats = 5,
+                           trim = TRUE,
+                           search = "grid",
+                           verboseIter = TRUE)
+
+# Train a model.
+glmnet_model <- train(x_train, y_train$V1,
+                      method = "glmnet",
+                      metric = "MAE",
+                      tuneGrid = tune_grid,
+                      trControl = param_tune)
+
+
+glmnet_model
+
+# Predict and check model accuracy.
+glmnet_prediction <- predict(glmnet_model, x_test)
+postResample(pred = glmnet_prediction, obs = y_test$V1)
+
+## Model Training [earth]
+
+# Custom tuning grid.
+tune_grid <- expand.grid(nprune = 1:10,
+                         degree = 1:10)
+
+# Parameter tuning.
+param_tune <- trainControl(method = "repeatedcv",
+                           number = 2,
+                           repeats = 5,
+                           trim = TRUE,
+                           search = "grid",
+                           verboseIter = TRUE)
+
+# Train a model.
+earth_model <- train(x_train, y_train$V1,
+                     method = "earth",
+                     metric = "RMSE",
+                     tuneGrid = tune_grid,
+                     trControl = param_tune)
+
+# Predict and check model accuracy.
+earth_prediction <- predict(earth_model, x_test)
+postResample(pred = earth_prediction, obs = y_test$V1)
+
+## Model Training [mlpKerasDropout]
+
+# Parameter tuning.
+param_tune <- trainControl(search = "random")
+
+# Train a model.
+keras_model <- train(x_train, y_train$V1,
+                     method = "mlpKerasDropout",
+                     metric = "RMSE",
+                     callbacks = list(
+                       keras::callback_early_stopping(monitor = "loss",
+                                                      mode = "auto",
+                                                      patience = 20,
+                                                      restore_best_weights = TRUE)
+                     ),
+                     trControl = param_tune,
+                     tuneLength = 3,
+                     epochs = 50)
+
+# Predict and check model accuracy.
+keras_prediction <- predict(keras_model, x_test)
+postResample(pred = keras_prediction, obs = y_test$V1)
+
+## Model Training [xgbDART]
+
+# Custom tuning grid.
+tune_grid <- expand.grid(nrounds = 0,
+                         max_depth = 2,
+                         eta = 0.0001,
+                         gamma = 0,
+                         subsample = 0.5,
+                         colsample_bytree = 0.5,
+                         rate_drop = seq(0.1, 1, length = 20),
+                         skip_drop = seq(0.1, 1, length = 20),
+                         min_child_weight = 9)
+
+# Parameter tuning.
+param_tune <- trainControl(method = "repeatedcv",
+                           number = 2,
+                           repeats = 5,
+                           verboseIter = TRUE)
+
+# Train a model.
+xgb_model <- train(x_train, y_train$V1,
+                   # xgbTree may be faster.
+                   method = "xgbDART",
+                   metric = "RMSE",
+                   tuneGrid = tune_grid,
+                   trControl = param_tune,
+                   verbosity = 0)
+
+# Predict and check model accuracy.
+xgb_prediction <- predict(xgb_model, x_test)
+postResample(pred = xgb_prediction, obs = y_test$V1)
diff --git a/slides.html b/slides.html
new file mode 100755
index 0000000..a8efe20
--- /dev/null
+++ b/slides.html
@@ -0,0 +1,408 @@
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- var(--marpit-advanced-background-split, 50%))}div#p>svg>foreignObject>section[data-marpit-advanced-background=background]>div[data-marpit-advanced-background-container]>figure{all:initial;background-position:center;background-repeat:no-repeat;background-size:cover;flex:auto;margin:0}div#p>svg>foreignObject>section[data-marpit-advanced-background=content],div#p>svg>foreignObject>section[data-marpit-advanced-background=pseudo]{background:transparent!important}div#p>svg>foreignObject>section[data-marpit-advanced-background=pseudo],div#p>svg[data-marpit-svg]>foreignObject[data-marpit-advanced-background=pseudo]{pointer-events:none!important}div#p>svg>foreignObject>section[data-marpit-advanced-background-split]{width:100%;height:100%}</style></head><body><div class="bespoke-marp-osc"><button data-bespoke-marp-osc="prev" tabindex="-1" title="Previous slide">Previous slide</button><span data-bespoke-marp-osc="page"></span><button data-bespoke-marp-osc="next" tabindex="-1" title="Next slide">Next slide</button><button data-bespoke-marp-osc="fullscreen" tabindex="-1" title="Toggle fullscreen (f)">Toggle fullscreen</button><button data-bespoke-marp-osc="presenter" tabindex="-1" title="Open presenter view (p)">Open presenter view</button></div><div id="p"><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="1" data-theme="default" style="--theme:default;">
+<p><img src="R_Logo.png" alt="" style="width:150px;" /></p>
+<h1><code>caret</code> &amp; <code>bigstatsR</code> Workshop</h1>
+</section>
+</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="2" data-theme="default" style="--theme:default;">
+<h1>Required Libraries</h1>
+<pre><code class="language-r"><svg data-marp-fitting="svg" data-marp-fitting-code><foreignObject><span data-marp-fitting-svg-content><span data-marp-fitting-svg-content-wrap><span class="hljs-comment"># &quot;bigstatsR&quot; and related packages.</span>
+install.packages(<span class="hljs-string">&quot;bigstatsr&quot;</span>)
+install.packages(<span class="hljs-string">&quot;bigreadr&quot;</span>)
+install.packages(<span class="hljs-string">&quot;data.table&quot;</span>)
+
+<span class="hljs-comment"># &quot;impute&quot; library.</span>
+install.packages(<span class="hljs-string">&quot;BiocManager&quot;</span>)
+BiocManager::install(<span class="hljs-string">&quot;impute&quot;</span>)
+
+<span class="hljs-comment"># &quot;caret&quot; library and sample models.</span>
+install.packages(<span class="hljs-string">&quot;caret&quot;</span>)
+install.packages(<span class="hljs-string">&quot;glmnet&quot;</span>)
+</span></span></foreignObject></svg></code></pre>
+</section>
+</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="3" data-theme="default" style="--theme:default;">
+<h1>Getting Started</h1>
+<ul>
+<li>
+<p>All files used in the workshop can be downloaded here:</p>
+<ul>
+<li><a href="https://cloud.ami.sc/s/gABPQGrrLa6cCiy">https://cloud.ami.sc/s/gABPQGrrLa6cCiy</a></li>
+</ul>
+</li>
+<li>
+<p>Throughout the workshop, you will need to fill out the missing code in the scripts, marked as <code>(...)</code>.</p>
+</li>
+</ul>
+</section>
+</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="4" data-theme="default" style="--theme:default;">
+<p><img src="R_Logo.png" alt="" style="width:150px;" /></p>
+<h1><code>bigstatsR</code> Package</h1>
+<blockquote>
+<p>Provides functions for fast statistical analysis of large-scale data encoded as matrices. The package can handle matrices that are too large to fit in memory thanks to memory-mapping to binary files on disk.</p>
+</blockquote>
+</section>
+</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="5" data-theme="default" style="--theme:default;">
+<h1>Reading Files with <code>bigstatsR</code> [1]</h1>
+<pre><code class="language-r"><svg data-marp-fitting="svg" data-marp-fitting-code><foreignObject><span data-marp-fitting-svg-content><span data-marp-fitting-svg-content-wrap><span class="hljs-comment"># Read only the first row of the file.</span>
+<span class="hljs-comment"># This allows us to obtain the number of columns.</span>
+first_row &lt;- fread2(<span class="hljs-string">&quot;Test_Genotype_Data.csv&quot;</span>,
+                    nrows = <span class="hljs-number">1</span>)
+col_num &lt;- ncol(first_row)
+
+<span class="hljs-comment"># Read the entire file using big_read.</span>
+gen_data &lt;- big_read(<span class="hljs-string">&quot;Test_Genotype_Data.csv&quot;</span>, <span class="hljs-comment"># Our large data file.</span>
+                     select = <span class="hljs-number">1</span>:col_num,       <span class="hljs-comment"># The number of columns we want to read.</span>
+                     backingfile = <span class="hljs-string">&quot;Data&quot;</span>,     <span class="hljs-comment"># Path to the backing file.</span>
+                     progress = <span class="hljs-literal">TRUE</span>,          <span class="hljs-comment"># Show progress.</span>
+                     type = <span class="hljs-string">&quot;double&quot;</span>)          <span class="hljs-comment"># Data type of the contents.</span>
+</span></span></foreignObject></svg></code></pre>
+</section>
+</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="6" data-theme="default" style="--theme:default;">
+<h1>Reading Files with <code>bigstatsR</code> [2]</h1>
+<ul>
+<li>Our file will be read as a Filebacked Big Matrix (FBM).</li>
+<li>After executing the code, we should see the following:</li>
+</ul>
+<pre><code class="language-r"><svg data-marp-fitting="svg" data-marp-fitting-code><foreignObject><span data-marp-fitting-svg-content><span data-marp-fitting-svg-content-wrap>&gt; gen_data
+
+A Filebacked Big Matrix of type <span class="hljs-string">&#x27;double&#x27;</span> with <span class="hljs-number">1000</span> rows and <span class="hljs-number">1000</span> columns.
+</span></span></foreignObject></svg></code></pre>
+<ul>
+<li>Be careful to remove the backing files before trying to re-read the same file.</li>
+</ul>
+</section>
+</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="7" data-theme="default" style="--theme:default;">
+<h1>Working with FBMs [1]</h1>
+<ul>
+<li>We can interact with FBMs <em>in a similar manner</em> as we do with normal dataframes.</li>
+</ul>
+<pre><code class="language-r"><svg data-marp-fitting="svg" data-marp-fitting-code><foreignObject><span data-marp-fitting-svg-content><span data-marp-fitting-svg-content-wrap><span class="hljs-comment"># Examine the data.</span>
+gen_data
+gen_data[<span class="hljs-number">1</span>:<span class="hljs-number">10</span>, <span class="hljs-number">1</span>:<span class="hljs-number">10</span>]
+str(gen_data)
+</span></span></foreignObject></svg></code></pre>
+</section>
+</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="8" data-theme="default" style="--theme:default;">
+<h1>Working with FBMs [2]</h1>
+<ul>
+<li>Functions need to be applied differently.</li>
+<li>Say we wanted to find out the number of missing values in our data.</li>
+<li>The following approach does not work anymore:</li>
+</ul>
+<pre><code class="language-r"><svg data-marp-fitting="svg" data-marp-fitting-code><foreignObject><span data-marp-fitting-svg-content><span data-marp-fitting-svg-content-wrap><span class="hljs-comment"># Will not work!</span>
+<span class="hljs-built_in">sum</span>(<span class="hljs-built_in">is.na</span>(gen_data))
+</span></span></foreignObject></svg></code></pre>
+</section>
+</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="9" data-theme="default" style="--theme:default;">
+<h1>Applying Functions [1]</h1>
+<ul>
+<li>In order for the function to be applied, we need to define it separately and use <code>big_apply</code>.</li>
+<li>Our function <strong>must</strong> take the following as arguments:
+<ul>
+<li>An FBM object: <code>X</code></li>
+<li>A vector of indices: <code>ind</code></li>
+</ul>
+</li>
+</ul>
+<pre><code class="language-r"><svg data-marp-fitting="svg" data-marp-fitting-code><foreignObject><span data-marp-fitting-svg-content><span data-marp-fitting-svg-content-wrap><span class="hljs-comment"># Function for checking the number of missing values in the dataframe.</span>
+check_na &lt;- <span class="hljs-keyword">function</span>(X, ind) {
+  <span class="hljs-built_in">sum</span>(<span class="hljs-built_in">is.na</span>(X[, ind]))
+}
+</span></span></foreignObject></svg></code></pre>
+<ul>
+<li><code>big_apply</code> will take care of splitting our data into subsets, applying our function to each subset, and combining the results.</li>
+</ul>
+</section>
+</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="10" data-theme="default" style="--theme:default;">
+<h1>Applying Functions [2]</h1>
+<ul>
+<li>Now, we can find the number of missing values in our dataset.</li>
+</ul>
+<pre><code class="language-r"><svg data-marp-fitting="svg" data-marp-fitting-code><foreignObject><span data-marp-fitting-svg-content><span data-marp-fitting-svg-content-wrap><span class="hljs-comment"># Check how many missing values we have.</span>
+big_apply(gen_data,         <span class="hljs-comment"># FBM to which we want to apply the function.</span>
+          a.FUN = check_na, <span class="hljs-comment"># The function that we want to apply.</span>
+          a.combine = <span class="hljs-string">&quot;+&quot;</span>,  <span class="hljs-comment"># How the results of each subset should be combined.</span>
+          ncores = <span class="hljs-number">2</span>)       <span class="hljs-comment"># Number of CPU cores to use.</span>
+</span></span></foreignObject></svg></code></pre>
+</section>
+</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="11" data-theme="default" style="--theme:default;">
+<h1>Applying Functions [3]</h1>
+<ul>
+<li>If we <em>really</em> want to, we can manually create subsets and apply functions using a <code>for</code> loop.</li>
+<li>First, we must get the indices for each subset:</li>
+</ul>
+<pre><code class="language-r"><svg data-marp-fitting="svg" data-marp-fitting-code><foreignObject><span data-marp-fitting-svg-content><span data-marp-fitting-svg-content-wrap><span class="hljs-comment"># Subset the dataframe into sets of 100 columns.</span>
+sub_idx &lt;- split(<span class="hljs-number">1</span>:col_num, <span class="hljs-built_in">ceiling</span>(<span class="hljs-built_in">seq_along</span>(<span class="hljs-number">1</span>:col_num) / <span class="hljs-number">100</span>))
+</span></span></foreignObject></svg></code></pre>
+</section>
+</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="12" data-theme="default" style="--theme:default;">
+<h1>Applying Functions [4]</h1>
+<ul>
+<li>Now, we can extract our subsets and apply our function:</li>
+</ul>
+<pre><code class="language-r"><svg data-marp-fitting="svg" data-marp-fitting-code><foreignObject><span data-marp-fitting-svg-content><span data-marp-fitting-svg-content-wrap><span class="hljs-keyword">for</span> (i <span class="hljs-keyword">in</span> <span class="hljs-number">1</span>:<span class="hljs-built_in">length</span>(sub_idx)) {
+
+  <span class="hljs-comment"># Display current subset being evaluated.</span>
+  print(i)
+
+  <span class="hljs-comment"># Get the Genotype Data for the current subset.</span>
+  gen_subset &lt;- gen_data[, sub_idx[[i]]]
+
+  <span class="hljs-comment"># Impute missing data using KNN clustering.</span>
+  gen_imputed &lt;- <span class="hljs-built_in">round</span>(
+    t(impute::impute.knn(t(gen_subset), k = <span class="hljs-number">50</span>, rowmax = <span class="hljs-number">1</span>, colmax = <span class="hljs-number">1</span>)$data), <span class="hljs-number">0</span>)
+
+  <span class="hljs-comment"># &quot;Write back&quot; imputed data to the FBM.</span>
+  gen_data[, sub_idx[[i]]] &lt;- gen_imputed
+}
+</span></span></foreignObject></svg></code></pre>
+</section>
+</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="13" data-theme="default" style="--theme:default;">
+<h1>Applying Functions [5]</h1>
+<ul>
+<li>Check that the <code>impute</code> function worked:</li>
+</ul>
+<pre><code class="language-r"><svg data-marp-fitting="svg" data-marp-fitting-code><foreignObject><span data-marp-fitting-svg-content><span data-marp-fitting-svg-content-wrap><span class="hljs-comment"># Now, verify there are no missing values anymore.</span>
+big_apply(gen_data,
+          a.FUN = check_na,
+          a.combine = <span class="hljs-string">&quot;+&quot;</span>,
+          ncores = <span class="hljs-number">2</span>)
+</span></span></foreignObject></svg></code></pre>
+</section>
+</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="14" data-theme="default" style="--theme:default;">
+<h1>Saving FBMs</h1>
+<ul>
+<li>How do we save our modified data back to a <code>.csv</code> file? Easy, use <code>big_write</code>:</li>
+</ul>
+<pre><code class="language-r"><svg data-marp-fitting="svg" data-marp-fitting-code><foreignObject><span data-marp-fitting-svg-content><span data-marp-fitting-svg-content-wrap><span class="hljs-comment"># Write the newly-imputed data to a new file.</span>
+big_write(gen_data,                         <span class="hljs-comment"># Our FBM object.</span>
+          <span class="hljs-string">&quot;Test_Genotype_Data_Imputed.csv&quot;</span>, <span class="hljs-comment"># Name of the file.</span>
+          every_nrow = <span class="hljs-number">100</span>,                 <span class="hljs-comment"># How many rows do we want to save at once.</span>
+          progress = <span class="hljs-built_in">interactive</span>())         <span class="hljs-comment"># Show a fancy progress bar.</span>
+</span></span></foreignObject></svg></code></pre>
+</section>
+</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="15" data-theme="default" style="--theme:default;">
+<h1>Removing Backing Files</h1>
+<ul>
+<li><code>big_read</code> will create backing files that are of no use after we saved our file.</li>
+<li>They can be safely removed:</li>
+</ul>
+<pre><code class="language-r"><svg data-marp-fitting="svg" data-marp-fitting-code><foreignObject><span data-marp-fitting-svg-content><span data-marp-fitting-svg-content-wrap><span class="hljs-comment"># Remove backing files.</span>
+system(<span class="hljs-string">&quot;rm *.bk&quot;</span>)
+system(<span class="hljs-string">&quot;rm *.rds&quot;</span>)
+</span></span></foreignObject></svg></code></pre>
+</section>
+</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="16" data-theme="default" style="--theme:default;">
+<p><img src="R_Logo.png" alt="" style="width:150px;" /></p>
+<h1><code>caret</code> Package</h1>
+<blockquote>
+<p>Short for Classification And REgression Training. It is a set of functions that attempt to streamline the process for creating predictive models. The package started off as a way to provide a uniform interface for modeling functions, as well as a way to standardize common tasks (such parameter tuning and variable importance).</p>
+</blockquote>
+</section>
+</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="17" data-theme="default" style="--theme:default;">
+<h1>Loading Data</h1>
+<ul>
+<li>First, let's load our newly-imputed Genotype Data:</li>
+</ul>
+<pre><code class="language-r"><svg data-marp-fitting="svg" data-marp-fitting-code><foreignObject><span data-marp-fitting-svg-content><span data-marp-fitting-svg-content-wrap><span class="hljs-comment">## Data Loading [Predictors]</span>
+
+<span class="hljs-comment"># Genotype Data</span>
+gen_path &lt;- <span class="hljs-string">&quot;Test_Genotype_Data_Imputed.csv&quot;</span>
+gen_data &lt;- fread(gen_path, sep = <span class="hljs-string">&quot;,&quot;</span>, header = <span class="hljs-literal">FALSE</span>)
+</span></span></foreignObject></svg></code></pre>
+<ul>
+<li>Let's load our Phenotype Data as well:</li>
+</ul>
+<pre><code class="language-r"><svg data-marp-fitting="svg" data-marp-fitting-code><foreignObject><span data-marp-fitting-svg-content><span data-marp-fitting-svg-content-wrap><span class="hljs-comment">## Data Loading [Traits]</span>
+
+<span class="hljs-comment"># Phenotype Data</span>
+phn_path &lt;- <span class="hljs-string">&quot;Test_Phenotype_Data.csv&quot;</span>
+phn_data &lt;- fread(phn_path, sep = <span class="hljs-string">&quot;,&quot;</span>, header = <span class="hljs-literal">FALSE</span>)
+</span></span></foreignObject></svg></code></pre>
+</section>
+</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="18" data-theme="default" style="--theme:default;">
+<h1>Data Overview</h1>
+<ul>
+<li>Our Genotype Data is a large matrix of <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mn>0</mn></mrow><annotation encoding="application/x-tex">0</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.6444em;"></span><span class="mord">0</span></span></span></span>s and <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mn>1</mn></mrow><annotation encoding="application/x-tex">1</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.6444em;"></span><span class="mord">1</span></span></span></span>s:</li>
+</ul>
+<pre><code class="language-r"><svg data-marp-fitting="svg" data-marp-fitting-code><foreignObject><span data-marp-fitting-svg-content><span data-marp-fitting-svg-content-wrap><span class="hljs-comment"># Preview of Genotype Data.</span>
+str(gen_data)
+gen_data[<span class="hljs-number">1</span>:<span class="hljs-number">10</span>, <span class="hljs-number">1</span>:<span class="hljs-number">10</span>]
+</span></span></foreignObject></svg></code></pre>
+<ul>
+<li>Our Phenotype Data, which we want to predict, is a single column of <code>Plant Height (cm)</code> measurements:</li>
+</ul>
+<pre><code class="language-r"><svg data-marp-fitting="svg" data-marp-fitting-code><foreignObject><span data-marp-fitting-svg-content><span data-marp-fitting-svg-content-wrap><span class="hljs-comment"># Preview of Phenotype Data.</span>
+str(phn_data)
+phn_data[<span class="hljs-number">1</span>:<span class="hljs-number">10</span>, <span class="hljs-number">1</span>]
+</span></span></foreignObject></svg></code></pre>
+</section>
+</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="19" data-theme="default" style="--theme:default;">
+<h1>The <code>createDataPartition</code> Function [1]</h1>
+<ul>
+<li>We can easily split our data into training and testing sets as follows:</li>
+</ul>
+<pre><code class="language-r"><svg data-marp-fitting="svg" data-marp-fitting-code><foreignObject><span data-marp-fitting-svg-content><span data-marp-fitting-svg-content-wrap><span class="hljs-comment"># We want 80% of our data for training and 20% for testing.</span>
+
+<span class="hljs-comment"># Get the indices for the rows to be used in the training data.</span>
+train_index &lt;- createDataPartition(
+  phn_data$V1,  <span class="hljs-comment"># Our Phenotype Data.</span>
+  p = <span class="hljs-number">0.8</span>,      <span class="hljs-comment"># Percentage of data to be used for training.</span>
+  <span class="hljs-built_in">list</span> = <span class="hljs-literal">FALSE</span>) <span class="hljs-comment"># To return a matrix instead of a list.</span>
+
+<span class="hljs-comment"># Check out which rows will be used for training.</span>
+train_index
+</span></span></foreignObject></svg></code></pre>
+</section>
+</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="20" data-theme="default" style="--theme:default;">
+<h1>The <code>createDataPartition</code> Function [2]</h1>
+<ul>
+<li>Now that we know which indices will be used for training, we can extract the corresponding data:</li>
+</ul>
+<pre><code class="language-r"><svg data-marp-fitting="svg" data-marp-fitting-code><foreignObject><span data-marp-fitting-svg-content><span data-marp-fitting-svg-content-wrap><span class="hljs-comment"># The values used as predictors [x].</span>
+x_train &lt;- gen_data[train_index,]
+x_test &lt;- gen_data[-train_index,]
+
+<span class="hljs-comment"># The values to be predicted [y].</span>
+y_train &lt;- phn_data[train_index,]
+y_test &lt;- phn_data[-train_index,]
+</span></span></foreignObject></svg></code></pre>
+</section>
+</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="21" data-theme="default" style="--theme:default;">
+<h1>Model Training and Tuning [1]</h1>
+<blockquote>
+<p><img src="R_Logo.png" alt="" style="width:50px;" /> <code>glmnet</code></p>
+<hr />
+<p>Fits generalized linear and similar models via penalized maximum likelihood. The regularization path is computed for the lasso or elastic net penalty at a grid of values (on the log scale) for the regularization parameter <code>lambda</code>.</p>
+</blockquote>
+<br />
+<ul>
+<li>We can perform this tuning automatically with <code>caret</code>. Let's first create a custom parameter grid:</li>
+</ul>
+<pre><code class="language-r"><svg data-marp-fitting="svg" data-marp-fitting-code><foreignObject><span data-marp-fitting-svg-content><span data-marp-fitting-svg-content-wrap><span class="hljs-comment"># Define a custom tuning grid.</span>
+tune_grid &lt;- expand.grid(alpha = seq(<span class="hljs-number">0.0001</span>, <span class="hljs-number">1</span>, <span class="hljs-built_in">length</span> = <span class="hljs-number">5</span>), <span class="hljs-comment"># Values to try for &quot;alpha&quot;.</span>
+                         lambda = <span class="hljs-number">5</span>)                       <span class="hljs-comment"># Values to try for &quot;lambda&quot;.</span>
+</span></span></foreignObject></svg></code></pre>
+</section>
+</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="22" data-theme="default" style="--theme:default;">
+<h1>Model Training and Tuning [2]</h1>
+<ul>
+<li>The <code>trainControl</code> function allows us to further customize how our model is made:</li>
+</ul>
+<pre><code class="language-r"><svg data-marp-fitting="svg" data-marp-fitting-code><foreignObject><span data-marp-fitting-svg-content><span data-marp-fitting-svg-content-wrap><span class="hljs-comment"># Parameter tuning.</span>
+param_tune &lt;- trainControl(method = <span class="hljs-string">&quot;repeatedcv&quot;</span>, <span class="hljs-comment"># Method to be used for resampling.</span>
+                           number = <span class="hljs-number">2</span>,            <span class="hljs-comment"># Numebr of folds (subsets) for cross-validation.</span>
+                           repeats = <span class="hljs-number">5</span>,           <span class="hljs-comment"># Number of iterations for cross-validation.</span>
+                           trim = <span class="hljs-literal">TRUE</span>,           <span class="hljs-comment"># Reduces memory consumption.</span>
+                           search = <span class="hljs-string">&quot;grid&quot;</span>,       <span class="hljs-comment"># How the tuning grid should be made.</span>
+                           verboseIter = <span class="hljs-literal">TRUE</span>)    <span class="hljs-comment"># To display additional information.</span>
+</span></span></foreignObject></svg></code></pre>
+<ul>
+<li>Other methods are available, such as a single cross-validation (<code>cv</code>), a leave-one-out cross-validation (<code>LOOCV</code>), or <code>none</code>, which will only train a single model.</li>
+<li>It is also possible to specify a <code>random</code> tuning grid.</li>
+</ul>
+</section>
+</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="23" data-theme="default" style="--theme:default;">
+<h1>Model Training and Tuning [3]</h1>
+<ul>
+<li>Now, we can finally train our model:</li>
+</ul>
+<pre><code class="language-r"><svg data-marp-fitting="svg" data-marp-fitting-code><foreignObject><span data-marp-fitting-svg-content><span data-marp-fitting-svg-content-wrap><span class="hljs-comment"># Train a model.</span>
+glmnet_model &lt;- train(x_train,                <span class="hljs-comment"># Our predictors.</span>
+                      y_train$V1,             <span class="hljs-comment"># What we want to predict.</span>
+                      method = <span class="hljs-string">&quot;glmnet&quot;</span>,      <span class="hljs-comment"># The model we want to use.</span>
+                      metric = <span class="hljs-string">&quot;MAE&quot;</span>,         <span class="hljs-comment"># What metric should we use to pick the best model.</span>
+                      tuneGrid = tune_grid,   <span class="hljs-comment"># Our custom tuning grid.</span>
+                      trControl = param_tune) <span class="hljs-comment"># Our custom tuning method.</span>
+</span></span></foreignObject></svg></code></pre>
+</section>
+</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="24" data-theme="default" style="--theme:default;">
+<h1>Model Evaluation [1]</h1>
+<pre><code class="language-r"><svg data-marp-fitting="svg" data-marp-fitting-code><foreignObject><span data-marp-fitting-svg-content><span data-marp-fitting-svg-content-wrap>&gt; glmnet
+
+ <span class="hljs-number">800</span> samples
+<span class="hljs-number">1000</span> predictors
+
+No pre-processing
+Resampling: Cross-Validated (<span class="hljs-number">2</span> fold, repeated <span class="hljs-number">5</span> times)
+Summary of sample sizes: <span class="hljs-number">400</span>, <span class="hljs-number">400</span>, <span class="hljs-number">400</span>, <span class="hljs-number">400</span>, <span class="hljs-number">400</span>, <span class="hljs-number">400</span>, ...
+Resampling results across tuning parameters:
+
+  alpha     RMSE      Rsquared     MAE
+  <span class="hljs-number">0.000100</span>  <span class="hljs-number">61.23760</span>  <span class="hljs-number">0.002033470</span>  <span class="hljs-number">52.85568</span>
+  <span class="hljs-number">0.250075</span>  <span class="hljs-number">61.83544</span>  <span class="hljs-number">0.002543141</span>  <span class="hljs-number">52.85747</span>
+  <span class="hljs-number">0.500050</span>  <span class="hljs-number">60.02843</span>  <span class="hljs-number">0.002118089</span>  <span class="hljs-number">52.03982</span>
+  <span class="hljs-number">0.750025</span>  <span class="hljs-number">59.16487</span>  <span class="hljs-number">0.001651774</span>  <span class="hljs-number">51.61048</span>
+  <span class="hljs-number">1.000000</span>  <span class="hljs-number">58.81907</span>  <span class="hljs-number">0.002781994</span>  <span class="hljs-number">51.40225</span>
+
+Tuning parameter <span class="hljs-string">&#x27;lambda&#x27;</span> was held constant at a value of <span class="hljs-number">5</span>
+MAE was used to select the optimal model using the smallest value.
+The final values used <span class="hljs-keyword">for</span> the model were alpha = <span class="hljs-number">1</span> and lambda = <span class="hljs-number">5.</span>
+</span></span></foreignObject></svg></code></pre>
+</section>
+</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="25" data-theme="default" style="--theme:default;">
+<h1>Model Evaluation [2]</h1>
+<ul>
+<li>Now, let's predict on our testing data:</li>
+</ul>
+<pre><code class="language-r"><svg data-marp-fitting="svg" data-marp-fitting-code><foreignObject><span data-marp-fitting-svg-content><span data-marp-fitting-svg-content-wrap><span class="hljs-comment"># Predict on testing data.</span>
+glmnet_prediction &lt;- predict(glmnet_model, x_test)
+
+<span class="hljs-comment"># Check prediction accuracy.</span>
+postResample(pred = glmnet_prediction, <span class="hljs-comment"># Our predicted values.</span>
+             obs = y_test$V1)          <span class="hljs-comment"># Our expected vaues.</span>
+</span></span></foreignObject></svg></code></pre>
+<ul>
+<li>This gives us a nice summary of the prediction:</li>
+</ul>
+<pre><code class="language-text"><svg data-marp-fitting="svg" data-marp-fitting-code><foreignObject><span data-marp-fitting-svg-content><span data-marp-fitting-svg-content-wrap>        RMSE     Rsquared          MAE
+5.649786e+01 6.306793e-06 4.883650e+01
+</span></span></foreignObject></svg></code></pre>
+</section>
+</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="26" data-theme="default" style="--theme:default;">
+<h1>More Models</h1>
+<ul>
+<li><code>caret</code> supports <em>a lot</em> of models (last time I checked, <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mn>238</mn></mrow><annotation encoding="application/x-tex">238</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.6444em;"></span><span class="mord">238</span></span></span></span>).</li>
+<li>More examples are given in the file for you to try:
+<ul>
+<li><code>earth</code></li>
+<li><code>keras</code></li>
+<li><code>xgboost</code></li>
+</ul>
+</li>
+<li>You can also define your own models as well.</li>
+</ul>
+</section>
+</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="27" data-theme="default" style="--theme:default;">
+<p><img src="Models.png" alt="" style="width:650px;" /></p>
+</section>
+</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="28" data-theme="default" style="--theme:default;">
+<h1>References</h1>
+<ul>
+<li>
+<p><code>bigstatsR</code> Package:</p>
+<p>[1] <a href="https://github.com/privefl/bigstatsr">https://github.com/privefl/bigstatsr</a><br />
+[2] <a href="https://privefl.github.io/bigstatsr/articles/read-FBM-from-file.html">https://privefl.github.io/bigstatsr/articles/read-FBM-from-file.html</a></p>
+</li>
+<li>
+<p><code>caret</code> Package:</p>
+<p>[1] <a href="https://topepo.github.io/caret/">https://topepo.github.io/caret/</a><br />
+[2] <a href="https://topepo.github.io/caret/available-models.html">https://topepo.github.io/caret/available-models.html</a></p>
+</li>
+</ul>
+</section>
+</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="29" data-theme="default" style="--theme:default;">
+<h1>Thank You!</h1>
+</section>
+<script>!function(){"use strict";const t="marpitSVGPolyfill:setZoomFactor,",e=Symbol();let r,o;function n(n){const i="object"==typeof n&&n.target||document,a="object"==typeof n?n.zoom:n;window[e]||(Object.defineProperty(window,e,{configurable:!0,value:!0}),window.addEventListener("message",(({data:e,origin:r})=>{if(r===window.origin)try{if(e&&"string"==typeof e&&e.startsWith(t)){const[,t]=e.split(","),r=Number.parseFloat(t);Number.isNaN(r)||(o=r)}}catch(t){console.error(t)}})));let l=!1;Array.from(i.querySelectorAll("svg[data-marpit-svg]"),(t=>{var e,n,i,s;t.style.transform||(t.style.transform="translateZ(0)");const c=a||o||t.currentScale||1;r!==c&&(r=c,l=c);const d=t.getBoundingClientRect(),{length:f}=t.children;for(let r=0;r<f;r+=1){const o=t.children[r];if(o.getScreenCTM){const t=o.getScreenCTM();if(t){const r=null!==(n=null===(e=o.x)||void 0===e?void 0:e.baseVal.value)&&void 0!==n?n:0,a=null!==(s=null===(i=o.y)||void 0===i?void 0:i.baseVal.value)&&void 0!==s?s:0,l=o.children.length;for(let e=0;e<l;e+=1){const n=o.children[e];if("SECTION"===n.tagName){const{style:e}=n;e.transformOrigin||(e.transformOrigin=`${-r}px ${-a}px`),e.transform=`scale(${c}) matrix(${t.a}, ${t.b}, ${t.c}, ${t.d}, ${t.e-d.left}, ${t.f-d.top}) translateZ(0.0001px)`;break}}}}}})),!1!==l&&Array.from(i.querySelectorAll("iframe"),(({contentWindow:e})=>{null==e||e.postMessage(`${t}${l}`,"null"===window.origin?"*":window.origin)}))}r=1,o=void 0;const i=(t,e,r)=>{if(t.getAttribute(e)!==r)return t.setAttribute(e,r),!0};function a({once:t=!1,target:e=document}={}){const r="Apple Computer, Inc."===navigator.vendor?[n]:[];let o=!t;const a=()=>{for(const t of r)t({target:e});!function(t=document){Array.from(t.querySelectorAll('svg[data-marp-fitting="svg"]'),(t=>{var e;const r=t.firstChild,o=r.firstChild,{scrollWidth:n,scrollHeight:a}=o;let l,s=1;if(t.hasAttribute("data-marp-fitting-code")&&(l=null===(e=t.parentElement)||void 0===e?void 0:e.parentElement),t.hasAttribute("data-marp-fitting-math")&&(l=t.parentElement),l){const t=getComputedStyle(l),e=Math.ceil(l.clientWidth-parseFloat(t.paddingLeft||"0")-parseFloat(t.paddingRight||"0"));e&&(s=e)}const c=Math.max(n,s),d=Math.max(a,1),f=`0 0 ${c} ${d}`;i(r,"width",`${c}`),i(r,"height",`${d}`),i(t,"preserveAspectRatio",getComputedStyle(t).getPropertyValue("--preserve-aspect-ratio")||"xMinYMin meet"),i(t,"viewBox",f)&&t.classList.toggle("__reflow__")}))}(e),o&&window.requestAnimationFrame(a)};return a(),()=>{o=!1}}const l=Symbol(),s=document.currentScript;((t=document)=>{if("undefined"==typeof window)throw new Error("Marp Core's browser script is valid only in browser context.");if(t[l])return t[l];const e=a({target:t}),r=()=>{e(),delete t[l]};Object.defineProperty(t,l,{configurable:!0,value:r})})(s?s.getRootNode():document)}();
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diff --git a/slides.md b/slides.md
new file mode 100755
index 0000000..f894056
--- /dev/null
+++ b/slides.md
@@ -0,0 +1,434 @@
+---
+marp: true
+---
+
+<!-- theme: default -->
+
+![width:150px](R_Logo.png)
+
+# `caret` & `bigstatsR` Workshop
+
+---
+
+# Required Libraries
+
+```r
+# "bigstatsR" and related packages.
+install.packages("bigstatsr")
+install.packages("bigreadr")
+install.packages("data.table")
+
+# "impute" library.
+install.packages("BiocManager")
+BiocManager::install("impute")
+
+# "caret" library and sample models.
+install.packages("caret")
+install.packages("glmnet")
+```
+
+---
+
+# Getting Started
+
+- All files used in the workshop can be downloaded here:
+
+    - https://cloud.ami.sc/s/gABPQGrrLa6cCiy
+
+- Throughout the workshop, you will need to fill out the missing code in the scripts, marked as `(...)`.
+
+---
+
+![width:150px](R_Logo.png)
+
+# `bigstatsR` Package
+
+> Provides functions for fast statistical analysis of large-scale data encoded as matrices. The package can handle matrices that are too large to fit in memory thanks to memory-mapping to binary files on disk.
+
+---
+
+# Reading Files with `bigstatsR` [1]
+
+```r
+# Read only the first row of the file.
+# This allows us to obtain the number of columns.
+first_row <- fread2("Test_Genotype_Data.csv",
+                    nrows = 1)
+col_num <- ncol(first_row)
+
+# Read the entire file using big_read.
+gen_data <- big_read("Test_Genotype_Data.csv", # Our large data file.
+                     select = 1:col_num,       # The number of columns we want to read.
+                     backingfile = "Data",     # Path to the backing file.
+                     progress = TRUE,          # Show progress.
+                     type = "double")          # Data type of the contents.
+```
+
+---
+
+# Reading Files with `bigstatsR` [2]
+
+- Our file will be read as a Filebacked Big Matrix (FBM).
+- After executing the code, we should see the following:
+
+```r
+> gen_data
+
+A Filebacked Big Matrix of type 'double' with 1000 rows and 1000 columns.
+```
+
+- Be careful to remove the backing files before trying to re-read the same file.
+---
+
+# Working with FBMs [1]
+
+- We can interact with FBMs *in a similar manner* as we do with normal dataframes.
+
+```r
+# Examine the data.
+gen_data
+gen_data[1:10, 1:10]
+str(gen_data)
+```
+
+---
+
+# Working with FBMs [2]
+
+- Functions need to be applied differently.
+- Say we wanted to find out the number of missing values in our data.
+- The following approach does not work anymore:
+
+```r
+# Will not work!
+sum(is.na(gen_data))
+```
+
+---
+
+# Applying Functions [1]
+
+- In order for the function to be applied, we need to define it separately and use `big_apply`.
+- Our function **must** take the following as arguments:
+    - An FBM object: `X`
+    - A vector of indices: `ind`
+
+```r
+# Function for checking the number of missing values in the dataframe.
+check_na <- function(X, ind) {
+  sum(is.na(X[, ind]))
+}
+```
+
+- `big_apply` will take care of splitting our data into subsets, applying our function to each subset, and combining the results.
+
+---
+
+# Applying Functions [2]
+
+- Now, we can find the number of missing values in our dataset.
+
+```r
+# Check how many missing values we have.
+big_apply(gen_data,         # FBM to which we want to apply the function.
+          a.FUN = check_na, # The function that we want to apply.
+          a.combine = "+",  # How the results of each subset should be combined.
+          ncores = 2)       # Number of CPU cores to use.
+```
+---
+
+# Applying Functions [3]
+
+- If we *really* want to, we can manually create subsets and apply functions using a `for` loop.
+- First, we must get the indices for each subset:
+
+```r
+# Subset the dataframe into sets of 100 columns.
+sub_idx <- split(1:col_num, ceiling(seq_along(1:col_num) / 100))
+```
+
+---
+
+# Applying Functions [4]
+
+- Now, we can extract our subsets and apply our function:
+
+```r
+for (i in 1:length(sub_idx)) {
+
+  # Display current subset being evaluated.
+  print(i)
+
+  # Get the Genotype Data for the current subset.
+  gen_subset <- gen_data[, sub_idx[[i]]]
+
+  # Impute missing data using KNN clustering.
+  gen_imputed <- round(
+    t(impute::impute.knn(t(gen_subset), k = 50, rowmax = 1, colmax = 1)$data), 0)
+
+  # "Write back" imputed data to the FBM.
+  gen_data[, sub_idx[[i]]] <- gen_imputed
+}
+```
+
+---
+
+# Applying Functions [5]
+
+- Check that the `impute` function worked:
+
+```r
+# Now, verify there are no missing values anymore.
+big_apply(gen_data,
+          a.FUN = check_na,
+          a.combine = "+",
+          ncores = 2)
+```
+
+---
+
+# Saving FBMs
+
+- How do we save our modified data back to a `.csv` file? Easy, use `big_write`:
+
+```r
+# Write the newly-imputed data to a new file.
+big_write(gen_data,                         # Our FBM object.
+          "Test_Genotype_Data_Imputed.csv", # Name of the file.
+          every_nrow = 100,                 # How many rows do we want to save at once.
+          progress = interactive())         # Show a fancy progress bar.
+```
+
+---
+
+# Removing Backing Files
+
+- `big_read` will create backing files that are of no use after we saved our file.
+- They can be safely removed:
+
+```r
+# Remove backing files.
+system("rm *.bk")
+system("rm *.rds")
+```
+
+---
+
+![width:150px](R_Logo.png)
+
+# `caret` Package
+
+> Short for Classification And REgression Training. It is a set of functions that attempt to streamline the process for creating predictive models. The package started off as a way to provide a uniform interface for modeling functions, as well as a way to standardize common tasks (such parameter tuning and variable importance).
+
+---
+
+# Loading Data
+
+- First, let's load our newly-imputed Genotype Data:
+
+```r
+## Data Loading [Predictors]
+
+# Genotype Data
+gen_path <- "Test_Genotype_Data_Imputed.csv"
+gen_data <- fread(gen_path, sep = ",", header = FALSE)
+```
+
+- Let's load our Phenotype Data as well:
+
+```r
+## Data Loading [Traits]
+
+# Phenotype Data
+phn_path <- "Test_Phenotype_Data.csv"
+phn_data <- fread(phn_path, sep = ",", header = FALSE)
+```
+
+---
+
+# Data Overview
+
+- Our Genotype Data is a large matrix of $0$s and $1$s:
+
+```r
+# Preview of Genotype Data.
+str(gen_data)
+gen_data[1:10, 1:10]
+```
+
+- Our Phenotype Data, which we want to predict, is a single column of `Plant Height (cm)` measurements:
+
+```r
+# Preview of Phenotype Data.
+str(phn_data)
+phn_data[1:10, 1]
+```
+---
+
+# The `createDataPartition` Function [1]
+
+- We can easily split our data into training and testing sets as follows:
+
+```r
+# We want 80% of our data for training and 20% for testing.
+
+# Get the indices for the rows to be used in the training data.
+train_index <- createDataPartition(
+  phn_data$V1,  # Our Phenotype Data.
+  p = 0.8,      # Percentage of data to be used for training.
+  list = FALSE) # To return a matrix instead of a list.
+
+# Check out which rows will be used for training.
+train_index
+```
+
+---
+
+# The `createDataPartition` Function [2]
+
+- Now that we know which indices will be used for training, we can extract the corresponding data:
+
+```r
+# The values used as predictors [x].
+x_train <- gen_data[train_index,]
+x_test <- gen_data[-train_index,]
+
+# The values to be predicted [y].
+y_train <- phn_data[train_index,]
+y_test <- phn_data[-train_index,]
+```
+
+---
+
+# Model Training and Tuning [1]
+
+> ![width:50px](R_Logo.png) `glmnet`
+> ***
+> Fits generalized linear and similar models via penalized maximum likelihood. The regularization path is computed for the lasso or elastic net penalty at a grid of values (on the log scale) for the regularization parameter `lambda`.
+
+<br />
+
+- We can perform this tuning automatically with `caret`. Let's first create a custom parameter grid:
+
+```r
+# Define a custom tuning grid.
+tune_grid <- expand.grid(alpha = seq(0.0001, 1, length = 5), # Values to try for "alpha".
+                         lambda = 5)                       # Values to try for "lambda".
+```
+
+---
+
+# Model Training and Tuning [2]
+
+- The `trainControl` function allows us to further customize how our model is made:
+
+```r
+# Parameter tuning.
+param_tune <- trainControl(method = "repeatedcv", # Method to be used for resampling.
+                           number = 2,            # Numebr of folds (subsets) for cross-validation.
+                           repeats = 5,           # Number of iterations for cross-validation.
+                           trim = TRUE,           # Reduces memory consumption.
+                           search = "grid",       # How the tuning grid should be made.
+                           verboseIter = TRUE)    # To display additional information.
+```
+
+- Other methods are available, such as a single cross-validation (`cv`), a leave-one-out cross-validation (`LOOCV`), or `none`, which will only train a single model.
+- It is also possible to specify a `random` tuning grid.
+
+---
+
+# Model Training and Tuning [3]
+
+- Now, we can finally train our model:
+
+```r
+# Train a model.
+glmnet_model <- train(x_train,                # Our predictors.
+                      y_train$V1,             # What we want to predict.
+                      method = "glmnet",      # The model we want to use.
+                      metric = "MAE",         # What metric should we use to pick the best model.
+                      tuneGrid = tune_grid,   # Our custom tuning grid.
+                      trControl = param_tune) # Our custom tuning method.
+```
+
+---
+
+# Model Evaluation [1]
+
+```r
+> glmnet
+
+ 800 samples
+1000 predictors
+
+No pre-processing
+Resampling: Cross-Validated (2 fold, repeated 5 times)
+Summary of sample sizes: 400, 400, 400, 400, 400, 400, ...
+Resampling results across tuning parameters:
+
+  alpha     RMSE      Rsquared     MAE
+  0.000100  61.23760  0.002033470  52.85568
+  0.250075  61.83544  0.002543141  52.85747
+  0.500050  60.02843  0.002118089  52.03982
+  0.750025  59.16487  0.001651774  51.61048
+  1.000000  58.81907  0.002781994  51.40225
+
+Tuning parameter 'lambda' was held constant at a value of 5
+MAE was used to select the optimal model using the smallest value.
+The final values used for the model were alpha = 1 and lambda = 5.
+```
+
+---
+
+# Model Evaluation [2]
+
+- Now, let's predict on our testing data:
+
+```r
+# Predict on testing data.
+glmnet_prediction <- predict(glmnet_model, x_test)
+
+# Check prediction accuracy.
+postResample(pred = glmnet_prediction, # Our predicted values.
+             obs = y_test$V1)          # Our expected vaues.
+```
+
+- This gives us a nice summary of the prediction:
+
+```text
+        RMSE     Rsquared          MAE
+5.649786e+01 6.306793e-06 4.883650e+01
+```
+
+---
+
+# More Models
+
+- `caret` supports *a lot* of models (last time I checked, $238$).
+- More examples are given in the file for you to try:
+  - `earth`
+  - `keras`
+  - `xgboost`
+- You can also define your own models as well.
+
+---
+
+![width:650px](Models.png)
+
+---
+
+# References
+
+- `bigstatsR` Package:
+
+  [1] https://github.com/privefl/bigstatsr
+  [2] https://privefl.github.io/bigstatsr/articles/read-FBM-from-file.html
+
+- `caret` Package:
+
+  [1] https://topepo.github.io/caret/
+  [2] https://topepo.github.io/caret/available-models.html
+
+---
+
+# Thank You!