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@ -263,7 +263,7 @@ mod tests {
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initializer: InitializerKind::He,
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loss: LossKind::BCE,
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learning_rate: 0.01,
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epochs: 5000,
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epochs: 10000,
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};
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let mut model = DenseNN::new(config);
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let x = Matrix::from_vec(vec![1.0, 2.0, 3.0, 4.0], 4, 1);
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@ -1,69 +1,105 @@
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use crate::matrix::{Matrix};
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use crate::matrix::Matrix;
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use std::collections::HashMap;
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/// A Gaussian Naive Bayes classifier.
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///
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/// # Parameters
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/// - `var_smoothing`: Portion of the largest variance of all features to add to variances for stability.
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/// - `use_unbiased_variance`: If `true`, uses Bessel's correction (dividing by (n-1)); otherwise divides by n.
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///
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pub struct GaussianNB {
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classes: Vec<f64>, // distinct labels
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priors: Vec<f64>, // P(class)
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// Distinct class labels
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classes: Vec<f64>,
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// Prior probabilities P(class)
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priors: Vec<f64>,
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// Feature means per class
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means: Vec<Matrix<f64>>,
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// Feature variances per class
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variances: Vec<Matrix<f64>>,
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eps: f64, // var-smoothing
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// var_smoothing
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eps: f64,
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// flag for unbiased variance
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use_unbiased: bool,
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}
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impl GaussianNB {
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pub fn new(var_smoothing: f64) -> Self {
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/// Create a new GaussianNB.
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///
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/// # Arguments
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/// * `var_smoothing` - small float added to variances for numerical stability.
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/// * `use_unbiased_variance` - whether to apply Bessel's correction (divide by n-1).
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pub fn new(var_smoothing: f64, use_unbiased_variance: bool) -> Self {
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Self {
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classes: vec![],
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priors: vec![],
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means: vec![],
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variances: vec![],
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classes: Vec::new(),
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priors: Vec::new(),
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means: Vec::new(),
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variances: Vec::new(),
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eps: var_smoothing,
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use_unbiased: use_unbiased_variance,
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}
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}
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/// Fit the model according to the training data `x` and labels `y`.
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///
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/// # Panics
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/// Panics if `x` or `y` is empty, or if their dimensions disagree.
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pub fn fit(&mut self, x: &Matrix<f64>, y: &Matrix<f64>) {
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let m = x.rows();
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let n = x.cols();
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assert_eq!(y.rows(), m);
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assert_eq!(y.cols(), 1);
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assert_eq!(y.rows(), m, "Row count of X and Y must match");
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assert_eq!(y.cols(), 1, "Y must be a column vector");
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if m == 0 || n == 0 {
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panic!("Input matrix x or y is empty");
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}
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// ----- group samples by label -----
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// Group sample indices by label
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let mut groups: HashMap<u64, Vec<usize>> = HashMap::new();
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for i in 0..m {
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let label_bits = y[(i, 0)].to_bits();
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groups.entry(label_bits).or_default().push(i);
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let label = y[(i, 0)];
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let bits = label.to_bits();
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groups.entry(bits).or_default().push(i);
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}
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if groups.is_empty() {
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panic!("No class labels found in y");
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}
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self.classes = groups
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.keys()
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.cloned()
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.map(f64::from_bits)
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.collect::<Vec<_>>();
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// Note: If NaN is present in class labels, this may panic. Ensure labels are valid floats.
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// Extract and sort class labels
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self.classes = groups.keys().cloned().map(f64::from_bits).collect();
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self.classes.sort_by(|a, b| a.partial_cmp(b).unwrap());
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self.priors.clear();
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self.means.clear();
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self.variances.clear();
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// Precompute max variance for smoothing scale
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let mut max_var_feature = 0.0;
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for j in 0..n {
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let mut col_vals = Vec::with_capacity(m);
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for i in 0..m {
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col_vals.push(x[(i, j)]);
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}
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let mean_all = col_vals.iter().sum::<f64>() / m as f64;
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let var_all = col_vals.iter().map(|v| (v - mean_all).powi(2)).sum::<f64>() / m as f64;
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if var_all > max_var_feature {
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max_var_feature = var_all;
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}
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}
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let smoothing = self.eps * max_var_feature;
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// Compute per-class statistics
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for &c in &self.classes {
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let label_bits = c.to_bits();
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let idx = &groups[&label_bits];
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let idx = &groups[&c.to_bits()];
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let count = idx.len();
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if count == 0 {
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panic!("Class group for label {c} is empty");
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panic!("Class group for label {} is empty", c);
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}
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// Prior
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self.priors.push(count as f64 / m as f64);
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let mut mean = Matrix::zeros(1, n);
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let mut var = Matrix::zeros(1, n);
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// mean
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// Mean
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for &i in idx {
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for j in 0..n {
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mean[(0, j)] += x[(i, j)];
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@ -73,17 +109,22 @@ impl GaussianNB {
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mean[(0, j)] /= count as f64;
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}
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// variance
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// Variance
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for &i in idx {
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for j in 0..n {
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let d = x[(i, j)] - mean[(0, j)];
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var[(0, j)] += d * d;
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}
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}
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let denom = if self.use_unbiased {
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(count as f64 - 1.0).max(1.0)
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} else {
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count as f64
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};
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for j in 0..n {
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var[(0, j)] = var[(0, j)] / count as f64 + self.eps; // always add eps after division
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var[(0, j)] = var[(0, j)] / denom + smoothing;
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if var[(0, j)] <= 0.0 {
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var[(0, j)] = self.eps; // ensure strictly positive variance
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var[(0, j)] = smoothing;
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}
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}
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@ -92,33 +133,82 @@ impl GaussianNB {
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}
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}
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/// Return class labels (shape m×1) for samples in X.
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/// Perform classification on an array of test vectors `x`.
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pub fn predict(&self, x: &Matrix<f64>) -> Matrix<f64> {
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let m = x.rows();
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let k = self.classes.len();
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let n = x.cols();
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let k = self.classes.len();
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let mut preds = Matrix::zeros(m, 1);
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let ln_2pi = (2.0 * std::f64::consts::PI).ln();
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for i in 0..m {
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let mut best_class = 0usize;
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let mut best_log_prob = f64::NEG_INFINITY;
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for c in 0..k {
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// log P(y=c) + Σ log N(x_j | μ, σ²)
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let mut log_prob = self.priors[c].ln();
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let mut best = (0, f64::NEG_INFINITY);
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for c_idx in 0..k {
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let mut log_prob = self.priors[c_idx].ln();
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for j in 0..n {
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let mean = self.means[c][(0, j)];
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let var = self.variances[c][(0, j)];
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let diff = x[(i, j)] - mean;
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let diff = x[(i, j)] - self.means[c_idx][(0, j)];
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let var = self.variances[c_idx][(0, j)];
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log_prob += -0.5 * (diff * diff / var + var.ln() + ln_2pi);
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}
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if log_prob > best_log_prob {
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best_log_prob = log_prob;
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best_class = c;
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if log_prob > best.1 {
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best = (c_idx, log_prob);
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}
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}
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preds[(i, 0)] = self.classes[best_class];
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preds[(i, 0)] = self.classes[best.0];
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}
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preds
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}
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}
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#[cfg(test)]
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mod tests {
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use super::*;
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use crate::matrix::Matrix;
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#[test]
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fn test_simple_two_class() {
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// Simple dataset: one feature, two classes 0 and 1
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// Class 0: values [1.0, 1.2, 0.8]
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// Class 1: values [3.0, 3.2, 2.8]
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let x = Matrix::from_vec(vec![1.0, 1.2, 0.8, 3.0, 3.2, 2.8], 6, 1);
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let y = Matrix::from_vec(vec![0.0, 0.0, 0.0, 1.0, 1.0, 1.0], 6, 1);
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let mut clf = GaussianNB::new(1e-9, false);
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clf.fit(&x, &y);
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let test = Matrix::from_vec(vec![1.1, 3.1], 2, 1);
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let preds = clf.predict(&test);
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assert_eq!(preds[(0, 0)], 0.0);
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assert_eq!(preds[(1, 0)], 1.0);
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}
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#[test]
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fn test_unbiased_variance() {
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// Same as above but with unbiased variance
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let x = Matrix::from_vec(vec![2.0, 2.2, 1.8, 4.0, 4.2, 3.8], 6, 1);
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let y = Matrix::from_vec(vec![0.0, 0.0, 0.0, 1.0, 1.0, 1.0], 6, 1);
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let mut clf = GaussianNB::new(1e-9, true);
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clf.fit(&x, &y);
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let test = Matrix::from_vec(vec![2.1, 4.1], 2, 1);
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let preds = clf.predict(&test);
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assert_eq!(preds[(0, 0)], 0.0);
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assert_eq!(preds[(1, 0)], 1.0);
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}
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#[test]
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#[should_panic]
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fn test_empty_input() {
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let x = Matrix::zeros(0, 0);
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let y = Matrix::zeros(0, 1);
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let mut clf = GaussianNB::new(1e-9, false);
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clf.fit(&x, &y);
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}
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#[test]
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#[should_panic = "Row count of X and Y must match"]
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fn test_mismatched_rows() {
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let x = Matrix::from_vec(vec![1.0, 2.0], 2, 1);
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let y = Matrix::from_vec(vec![0.0], 1, 1);
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let mut clf = GaussianNB::new(1e-9, false);
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clf.fit(&x, &y);
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clf.predict(&x);
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}
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}
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