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Feb 27, 2021
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6 changes: 3 additions & 3 deletions smartcore.svg
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144 changes: 127 additions & 17 deletions src/naive_bayes/bernoulli.rs
Original file line number Diff line number Diff line change
Expand Up @@ -47,12 +47,44 @@ use serde::{Deserialize, Serialize};

/// Naive Bayes classifier for Bearnoulli features
#[cfg_attr(feature = "serde", derive(Serialize, Deserialize))]
#[derive(Debug, PartialEq)]
#[derive(Debug)]
struct BernoulliNBDistribution<T: RealNumber> {
/// class labels known to the classifier
class_labels: Vec<T>,
/// number of training samples observed in each class
class_count: Vec<usize>,
/// probability of each class
class_priors: Vec<T>,
feature_prob: Vec<Vec<T>>,
/// Number of samples encountered for each (class, feature)
feature_count: Vec<Vec<usize>>,
/// probability of features per class
feature_log_prob: Vec<Vec<T>>,
/// Number of features of each sample
n_features: usize,
}

impl<T: RealNumber> PartialEq for BernoulliNBDistribution<T> {
fn eq(&self, other: &Self) -> bool {
if self.class_labels == other.class_labels
&& self.class_count == other.class_count
&& self.class_priors == other.class_priors
&& self.feature_count == other.feature_count
&& self.n_features == other.n_features
{
for (a, b) in self
.feature_log_prob
.iter()
.zip(other.feature_log_prob.iter())
{
if !a.approximate_eq(b, T::epsilon()) {
return false;
}
}
true
} else {
false
}
}
}

impl<T: RealNumber, M: Matrix<T>> NBDistribution<T, M> for BernoulliNBDistribution<T> {
Expand All @@ -65,9 +97,9 @@ impl<T: RealNumber, M: Matrix<T>> NBDistribution<T, M> for BernoulliNBDistributi
for feature in 0..j.len() {
let value = j.get(feature);
if value == T::one() {
likelihood += self.feature_prob[class_index][feature].ln();
likelihood += self.feature_log_prob[class_index][feature];
} else {
likelihood += (T::one() - self.feature_prob[class_index][feature]).ln();
likelihood += (T::one() - self.feature_log_prob[class_index][feature].exp()).ln();
}
}
likelihood
Expand Down Expand Up @@ -157,10 +189,10 @@ impl<T: RealNumber> BernoulliNBDistribution<T> {
let y = y.to_vec();

let (class_labels, indices) = <Vec<T> as RealNumberVector<T>>::unique_with_indices(&y);
let mut class_count = vec![T::zero(); class_labels.len()];
let mut class_count = vec![0_usize; class_labels.len()];

for class_index in indices.iter() {
class_count[*class_index] += T::one();
class_count[*class_index] += 1;
}

let class_priors = if let Some(class_priors) = priors {
Expand All @@ -173,33 +205,46 @@ impl<T: RealNumber> BernoulliNBDistribution<T> {
} else {
class_count
.iter()
.map(|&c| c / T::from(n_samples).unwrap())
.map(|&c| T::from(c).unwrap() / T::from(n_samples).unwrap())
.collect()
};

let mut feature_in_class_counter = vec![vec![T::zero(); n_features]; class_labels.len()];
let mut feature_in_class_counter = vec![vec![0_usize; n_features]; class_labels.len()];

for (row, class_index) in row_iter(x).zip(indices) {
for (idx, row_i) in row.iter().enumerate().take(n_features) {
feature_in_class_counter[class_index][idx] += *row_i;
feature_in_class_counter[class_index][idx] +=
row_i.to_usize().ok_or_else(|| {
Failed::fit(&format!(
"Elements of the matrix should be 1.0 or 0.0 |found|=[{}]",
row_i
))
})?;
}
}

let feature_prob = feature_in_class_counter
let feature_log_prob = feature_in_class_counter
.iter()
.enumerate()
.map(|(class_index, feature_count)| {
feature_count
.iter()
.map(|&count| (count + alpha) / (class_count[class_index] + alpha * T::two()))
.map(|&count| {
((T::from(count).unwrap() + alpha)
/ (T::from(class_count[class_index]).unwrap() + alpha * T::two()))
.ln()
})
.collect()
})
.collect();

Ok(Self {
class_labels,
class_priors,
feature_prob,
class_count,
feature_count: feature_in_class_counter,
feature_log_prob,
n_features,
})
}
}
Expand Down Expand Up @@ -266,6 +311,34 @@ impl<T: RealNumber, M: Matrix<T>> BernoulliNB<T, M> {
self.inner.predict(x)
}
}

/// Class labels known to the classifier.
/// Returns a vector of size n_classes.
pub fn classes(&self) -> &Vec<T> {
&self.inner.distribution.class_labels
}

/// Number of training samples observed in each class.
/// Returns a vector of size n_classes.
pub fn class_count(&self) -> &Vec<usize> {
&self.inner.distribution.class_count
}

/// Number of features of each sample
pub fn n_features(&self) -> usize {
self.inner.distribution.n_features
}

/// Number of samples encountered for each (class, feature)
/// Returns a 2d vector of shape (n_classes, n_features)
pub fn feature_count(&self) -> &Vec<Vec<usize>> {
&self.inner.distribution.feature_count
}

/// Empirical log probability of features given a class
pub fn feature_log_prob(&self) -> &Vec<Vec<T>> {
&self.inner.distribution.feature_log_prob
}
}

#[cfg(test)]
Expand Down Expand Up @@ -296,10 +369,24 @@ mod tests {

assert_eq!(bnb.inner.distribution.class_priors, &[0.75, 0.25]);
assert_eq!(
bnb.inner.distribution.feature_prob,
bnb.feature_log_prob(),
&[
&[0.4, 0.8, 0.2, 0.4, 0.4, 0.2],
&[1. / 3.0, 2. / 3.0, 2. / 3.0, 1. / 3.0, 1. / 3.0, 2. / 3.0]
&[
-0.916290731874155,
-0.2231435513142097,
-1.6094379124341003,
-0.916290731874155,
-0.916290731874155,
-1.6094379124341003
],
&[
-1.0986122886681098,
-0.40546510810816444,
-0.40546510810816444,
-1.0986122886681098,
-1.0986122886681098,
-0.40546510810816444
]
]
);

Expand Down Expand Up @@ -335,13 +422,36 @@ mod tests {

let y_hat = bnb.predict(&x).unwrap();

assert_eq!(bnb.classes(), &[0., 1., 2.]);
assert_eq!(bnb.class_count(), &[7, 3, 5]);
assert_eq!(bnb.n_features(), 10);
assert_eq!(
bnb.feature_count(),
&[
&[5, 6, 6, 7, 6, 4, 6, 7, 7, 7],
&[3, 3, 3, 1, 3, 2, 3, 2, 2, 3],
&[4, 4, 3, 4, 5, 2, 4, 5, 3, 4]
]
);

assert!(bnb
.inner
.distribution
.class_priors
.approximate_eq(&vec!(0.46, 0.2, 0.33), 1e-2));
assert!(bnb.inner.distribution.feature_prob[1].approximate_eq(
&vec!(0.8, 0.8, 0.8, 0.4, 0.8, 0.6, 0.8, 0.6, 0.6, 0.8),
assert!(bnb.feature_log_prob()[1].approximate_eq(
&vec![
-0.22314355,
-0.22314355,
-0.22314355,
-0.91629073,
-0.22314355,
-0.51082562,
-0.22314355,
-0.51082562,
-0.51082562,
-0.22314355
],
1e-1
));
assert!(y_hat.approximate_eq(
Expand Down
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