feat: documents metric functions
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@@ -1,12 +1,35 @@
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//! Coefficient of Determination (R2)
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//!
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//! Coefficient of determination, denoted R2 is the proportion of the variance in the dependent variable that can be explained be explanatory (independent) variable(s).
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//!
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//! \\[R^2(y, \hat{y}) = 1 - \frac{\sum_{i=1}^{n}(y_i - \hat{y_i})^2}{\sum_{i=1}^{n}(y_i - \bar{y})^2} \\]
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//!
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//! where \\(\hat{y}\\) are predictions, \\(y\\) are true target values, \\(\bar{y}\\) is the mean of the observed data
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//!
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//! Example:
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//!
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//! ```
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//! use smartcore::metrics::mean_absolute_error::MeanAbsoluteError;
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//! let y_pred: Vec<f64> = vec![3., -0.5, 2., 7.];
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//! let y_true: Vec<f64> = vec![2.5, 0.0, 2., 8.];
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//!
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//! let mse: f64 = MeanAbsoluteError {}.get_score(&y_pred, &y_true);
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//! ```
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//!
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//! <script type="text/javascript" src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.0/MathJax.js?config=TeX-AMS_CHTML"></script>
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use serde::{Deserialize, Serialize};
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use crate::linalg::BaseVector;
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use crate::math::num::RealNumber;
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/// Coefficient of Determination (R2)
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#[derive(Serialize, Deserialize, Debug)]
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pub struct R2 {}
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impl R2 {
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/// Computes R2 score
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/// * `y_true` - Ground truth (correct) target values.
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/// * `y_pred` - Estimated target values.
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pub fn get_score<T: RealNumber, V: BaseVector<T>>(&self, y_true: &V, y_pred: &V) -> T {
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if y_true.len() != y_pred.len() {
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panic!(
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