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</pre><pre class="rust"><code><span class="doccomment">//! - k-Nearest Nerighbors
//!
//! Contains implemention of k-nearest search using
//! kd-tree, ball-tree and brute-force.
//!
//! # Usage
//!
//! ```
//! # #[macro_use] extern crate rulinalg; extern crate rusty_machine; fn main() {
//! use rusty_machine::learning::knn::KNNClassifier;
//! use rusty_machine::learning::SupModel;
//! use rusty_machine::linalg::Vector;
//!
//! let data = matrix![1., 1., 1.;
//! 1., 2., 3.;
//! 2., 3., 1.;
//! 2., 2., 0.];
//! let target = Vector::new(vec![0, 0, 1, 1]);
//!
//! // train the model to search 2-nearest
//! let mut knn = KNNClassifier::new(2);
//! knn.train(&amp;data, &amp;target).unwrap();
//!
//! // predict new points
//! let res = knn.predict(&amp;matrix![2., 3., 0.; 1., 1., 2.]).unwrap();
//! assert_eq!(res, Vector::new(vec![1, 0]));
//! # }
//! ```
</span><span class="kw">use </span>std::f64;
<span class="kw">use </span>std::collections::BTreeMap;
<span class="kw">use </span>linalg::{Matrix, BaseMatrix, Vector};
<span class="kw">use </span>learning::{LearningResult, SupModel};
<span class="kw">use </span>learning::error::{Error, ErrorKind};
<span class="kw">mod </span>binary_tree;
<span class="kw">mod </span>brute_force;
<span class="kw">pub use </span><span class="self">self</span>::binary_tree::{KDTree, BallTree};
<span class="kw">pub use </span><span class="self">self</span>::brute_force::BruteForce;
<span class="doccomment">/// k-Nearest Neighbor Classifier
</span><span class="attribute">#[derive(Debug)]
</span><span class="kw">pub struct </span>KNNClassifier&lt;S: KNearestSearch&gt; {
k: usize,
searcher: S,
target: <span class="prelude-ty">Option</span>&lt;Vector&lt;usize&gt;&gt;,
}
<span class="kw">impl </span>Default <span class="kw">for </span>KNNClassifier&lt;KDTree&gt; {
<span class="doccomment">/// Constructs an untrained KNN Classifier with searching 5 neighbors.
///
/// # Examples
///
/// ```
/// use rusty_machine::learning::knn::KNNClassifier;
/// let _ = KNNClassifier::default();
/// ```
</span><span class="kw">fn </span>default() -&gt; <span class="self">Self </span>{
KNNClassifier {
k: <span class="number">5</span>,
searcher: KDTree::default(),
target: <span class="prelude-val">None
</span>}
}
}
<span class="kw">impl </span>KNNClassifier&lt;KDTree&gt; {
<span class="doccomment">/// Constructs an untrained KNN Classifier with specified
/// number of search neighbors.
///
/// # Examples
///
/// ```
/// use rusty_machine::learning::knn::KNNClassifier;
/// let _ = KNNClassifier::new(3);
/// ```
</span><span class="kw">pub fn </span>new(k: usize) -&gt; <span class="self">Self </span>{
KNNClassifier {
k: k,
searcher: KDTree::default(),
target: <span class="prelude-val">None
</span>}
}
}
<span class="kw">impl</span>&lt;S: KNearestSearch&gt; KNNClassifier&lt;S&gt; {
<span class="doccomment">/// Constructs an untrained KNN Classifier with specified
/// k and leafsize for KDTree.
///
/// # Examples
///
/// ```
/// use rusty_machine::learning::knn::{KNNClassifier, BallTree};
/// let _ = KNNClassifier::new_specified(3, BallTree::new(10));
/// ```
</span><span class="kw">pub fn </span>new_specified(k: usize, searcher: S) -&gt; <span class="self">Self </span>{
KNNClassifier {
k: k,
searcher: searcher,
target: <span class="prelude-val">None
</span>}
}
}
<span class="kw">impl</span>&lt;S: KNearestSearch&gt; SupModel&lt;Matrix&lt;f64&gt;, Vector&lt;usize&gt;&gt; <span class="kw">for </span>KNNClassifier&lt;S&gt; {
<span class="kw">fn </span>predict(<span class="kw-2">&amp;</span><span class="self">self</span>, inputs: <span class="kw-2">&amp;</span>Matrix&lt;f64&gt;) -&gt; LearningResult&lt;Vector&lt;usize&gt;&gt; {
<span class="kw">match </span><span class="self">self</span>.target {
<span class="prelude-val">Some</span>(<span class="kw-2">ref </span>target) =&gt; {
<span class="kw">let </span><span class="kw-2">mut </span>results: Vec&lt;usize&gt; = Vec::with_capacity(inputs.rows());
<span class="kw">for </span>row <span class="kw">in </span>inputs.row_iter() {
<span class="kw">let </span>(idx, <span class="kw">_</span>) = <span class="self">self</span>.searcher.search(row.raw_slice(), <span class="self">self</span>.k)<span class="question-mark">?</span>;
<span class="kw">let </span>res = target.select(<span class="kw-2">&amp;</span>idx);
<span class="kw">let </span>(uniques, counts) = freq(res.data());
<span class="kw">let </span>(id, <span class="kw">_</span>) = counts.argmax();
results.push(uniques[id]);
}
<span class="prelude-val">Ok</span>(Vector::new(results))
},
<span class="kw">_ </span>=&gt; <span class="prelude-val">Err</span>(Error::new_untrained())
}
}
<span class="kw">fn </span>train(<span class="kw-2">&amp;mut </span><span class="self">self</span>, inputs: <span class="kw-2">&amp;</span>Matrix&lt;f64&gt;, targets: <span class="kw-2">&amp;</span>Vector&lt;usize&gt;) -&gt; LearningResult&lt;()&gt; {
<span class="kw">if </span>inputs.rows() != targets.size() {
<span class="kw">return </span><span class="prelude-val">Err</span>(Error::new(ErrorKind::InvalidData,
<span class="string">&quot;inputs and targets must be the same length&quot;</span>));
}
<span class="kw">if </span>inputs.rows() &lt; <span class="self">self</span>.k {
<span class="kw">return </span><span class="prelude-val">Err</span>(Error::new(ErrorKind::InvalidData,
<span class="string">&quot;inputs number of rows must be equal or learger than k&quot;</span>));
}
<span class="self">self</span>.searcher.build(inputs.clone());
<span class="self">self</span>.target = <span class="prelude-val">Some</span>(targets.clone());
<span class="prelude-val">Ok</span>(())
}
}
<span class="doccomment">/// Container for k-Nearest search results
</span><span class="kw">struct </span>KNearest {
<span class="comment">// number to search
</span>k: usize,
<span class="comment">// tuple of index and its distances, sorted by distances
</span>pairs: Vec&lt;(usize, f64)&gt;,
}
<span class="kw">impl </span>KNearest {
<span class="kw">fn </span>new(k: usize, index: Vec&lt;usize&gt;, distances: Vec&lt;f64&gt;) -&gt; <span class="self">Self </span>{
<span class="macro">debug_assert!</span>(!index.is_empty(), <span class="string">&quot;index can&#39;t be empty&quot;</span>);
<span class="macro">debug_assert!</span>(index.len() == distances.len(),
<span class="string">&quot;index and distance must have the same length&quot;</span>);
<span class="kw">let </span><span class="kw-2">mut </span>pairs: Vec&lt;(usize, f64)&gt; = index.into_iter()
.zip(distances.into_iter())
.collect();
<span class="comment">// sort by distance, take k elements
</span>pairs.sort_by(|x, y| x.<span class="number">1</span>.partial_cmp(<span class="kw-2">&amp;</span>y.<span class="number">1</span>).unwrap());
pairs.truncate(k);
KNearest {
k: k,
pairs: pairs
}
}
<span class="doccomment">/// Add new index and distances to the container, keeping first k elements which
/// distances are smaller. Returns the updated farthest distance.
</span><span class="kw">fn </span>add(<span class="kw-2">&amp;mut </span><span class="self">self</span>, index: usize, distance: f64) -&gt; f64 {
<span class="comment">// self.pairs can&#39;t be empty
</span><span class="kw">let </span>len = <span class="self">self</span>.pairs.len();
<span class="comment">// index of the last element after the query
</span><span class="kw">let </span>last_index: usize = <span class="kw">if </span>len &lt; <span class="self">self</span>.k {
len
} <span class="kw">else </span>{
len - <span class="number">1
</span>};
<span class="kw">unsafe </span>{
<span class="kw">if </span><span class="self">self</span>.pairs.get_unchecked(len - <span class="number">1</span>).<span class="number">1 </span>&lt; distance {
<span class="kw">if </span>len &lt; <span class="self">self</span>.k {
<span class="comment">// append to the last
</span><span class="self">self</span>.pairs.push((index, distance));
}
<span class="self">self</span>.pairs.get_unchecked(last_index).<span class="number">1
</span>} <span class="kw">else </span>{
<span class="comment">// last element is already compared
</span><span class="kw">if </span>len &gt;= <span class="self">self</span>.k {
<span class="self">self</span>.pairs.pop().unwrap();
}
<span class="kw">for </span>i <span class="kw">in </span><span class="number">2</span>..(len + <span class="number">1</span>) {
<span class="kw">if </span><span class="self">self</span>.pairs.get_unchecked(len - i).<span class="number">1 </span>&lt; distance {
<span class="self">self</span>.pairs.insert(len - i + <span class="number">1</span>, (index, distance));
<span class="kw">return </span><span class="self">self</span>.pairs.get_unchecked(last_index).<span class="number">1</span>;
}
}
<span class="self">self</span>.pairs.insert(<span class="number">0</span>, (index, distance));
<span class="self">self</span>.pairs.get_unchecked(last_index).<span class="number">1
</span>}
}
}
<span class="doccomment">/// Return the k-th distance with searching point
</span><span class="kw">fn </span>dist(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; f64 {
<span class="comment">// KNearest should gather k element at least
</span><span class="kw">let </span>len = <span class="self">self</span>.pairs.len();
<span class="kw">if </span>len &lt; <span class="self">self</span>.k {
f64::MAX
} <span class="kw">else </span>{
<span class="kw">unsafe </span>{
<span class="comment">// unchecked ver of .last().unwrap(),
// because self.pairs can&#39;t be empty
</span><span class="self">self</span>.pairs.get_unchecked(len - <span class="number">1</span>).<span class="number">1
</span>}
}
}
<span class="doccomment">/// Extract the search result to k-nearest indices and corresponding distances
</span><span class="kw">fn </span>get_results(<span class="self">self</span>) -&gt; (Vec&lt;usize&gt;, Vec&lt;f64&gt;) {
<span class="kw">let </span><span class="kw-2">mut </span>indices: Vec&lt;usize&gt; = Vec::with_capacity(<span class="self">self</span>.k);
<span class="kw">let </span><span class="kw-2">mut </span>distances: Vec&lt;f64&gt; = Vec::with_capacity(<span class="self">self</span>.k);
<span class="kw">for </span>(i, d) <span class="kw">in </span><span class="self">self</span>.pairs {
indices.push(i);
distances.push(d);
}
(indices, distances)
}
}
<span class="doccomment">/// Search K-nearest items
</span><span class="kw">pub trait </span>KNearestSearch: Default{
<span class="doccomment">/// build data structure for search optimization
</span><span class="kw">fn </span>build(<span class="kw-2">&amp;mut </span><span class="self">self</span>, data: Matrix&lt;f64&gt;);
<span class="doccomment">/// Serch k-nearest items close to the point
/// Returns a tuple of searched item index and its distances
</span><span class="kw">fn </span>search(<span class="kw-2">&amp;</span><span class="self">self</span>, point: <span class="kw-2">&amp;</span>[f64], k: usize) -&gt; <span class="prelude-ty">Result</span>&lt;(Vec&lt;usize&gt;, Vec&lt;f64&gt;), Error&gt;;
}
<span class="doccomment">/// Count target label frequencies
/// TODO: Used in decisition tree, move impl to somewhere
</span><span class="kw">fn </span>freq(labels: <span class="kw-2">&amp;</span>[usize]) -&gt; (Vector&lt;usize&gt;, Vector&lt;usize&gt;) {
<span class="kw">let </span><span class="kw-2">mut </span>map: BTreeMap&lt;usize, usize&gt; = BTreeMap::new();
<span class="kw">for </span>l <span class="kw">in </span>labels {
<span class="kw">let </span>e = map.entry(<span class="kw-2">*</span>l).or_insert(<span class="number">0</span>);
<span class="kw-2">*</span>e += <span class="number">1</span>;
}
<span class="kw">let </span><span class="kw-2">mut </span>uniques: Vec&lt;usize&gt; = Vec::with_capacity(map.len());
<span class="kw">let </span><span class="kw-2">mut </span>counts: Vec&lt;usize&gt; = Vec::with_capacity(map.len());
<span class="kw">for </span>(<span class="kw-2">&amp;</span>k, <span class="kw-2">&amp;</span>v) <span class="kw">in </span><span class="kw-2">&amp;</span>map {
uniques.push(k);
counts.push(v);
}
(Vector::new(uniques), Vector::new(counts))
}
<span class="doccomment">/// Return distances between given point and data specified with row ids
</span><span class="kw">fn </span>get_distances(data: <span class="kw-2">&amp;</span>Matrix&lt;f64&gt;, point: <span class="kw-2">&amp;</span>[f64], ids: <span class="kw-2">&amp;</span>[usize]) -&gt; Vec&lt;f64&gt; {
<span class="macro">assert!</span>(!ids.is_empty(), <span class="string">&quot;target ids is empty&quot;</span>);
<span class="kw">let </span><span class="kw-2">mut </span>distances: Vec&lt;f64&gt; = Vec::with_capacity(ids.len());
<span class="kw">for </span>id <span class="kw">in </span>ids.iter() {
<span class="comment">// ToDo: use .row(*id)
</span><span class="kw">let </span>row: Vec&lt;f64&gt; = data.select_rows(<span class="kw-2">&amp;</span>[<span class="kw-2">*</span>id]).into_vec();
<span class="comment">// let row: Vec&lt;f64&gt; = self.data.row(*id).into_vec();
</span><span class="kw">let </span>d = dist(point, <span class="kw-2">&amp;</span>row);
distances.push(d);
}
distances
}
<span class="kw">fn </span>dist(v1: <span class="kw-2">&amp;</span>[f64], v2: <span class="kw-2">&amp;</span>[f64]) -&gt; f64 {
<span class="comment">// ToDo: use metrics
</span><span class="kw">let </span>d: f64 = v1.iter()
.zip(v2.iter())
.map(|(<span class="kw-2">&amp;</span>x, <span class="kw-2">&amp;</span>y)| (x - y) * (x - y))
.fold(<span class="number">0.</span>, |s, v| s + v);
d.sqrt()
}
<span class="attribute">#[cfg(test)]
</span><span class="kw">mod </span>tests {
<span class="kw">use </span>std::f64;
<span class="kw">use </span><span class="kw">super</span>::KNearest;
<span class="attribute">#[test]
</span><span class="kw">fn </span>test_knearest() {
<span class="kw">let </span><span class="kw-2">mut </span>kn = KNearest::new(<span class="number">2</span>, <span class="macro">vec!</span>[<span class="number">1</span>, <span class="number">2</span>, <span class="number">3</span>], <span class="macro">vec!</span>[<span class="number">3.</span>, <span class="number">2.</span>, <span class="number">1.</span>]);
<span class="macro">assert_eq!</span>(kn.k, <span class="number">2</span>);
<span class="macro">assert_eq!</span>(kn.pairs, <span class="macro">vec!</span>[(<span class="number">3</span>, <span class="number">1.</span>), (<span class="number">2</span>, <span class="number">2.</span>)]);
<span class="macro">assert_eq!</span>(kn.dist(), <span class="number">2.</span>);
<span class="comment">// update KNearest
</span><span class="kw">let </span>res = kn.add(<span class="number">10</span>, <span class="number">3.</span>);
<span class="macro">assert_eq!</span>(res, <span class="number">2.</span>);
<span class="macro">assert_eq!</span>(kn.k, <span class="number">2</span>);
<span class="macro">assert_eq!</span>(kn.pairs, <span class="macro">vec!</span>[(<span class="number">3</span>, <span class="number">1.</span>), (<span class="number">2</span>, <span class="number">2.</span>)]);
<span class="macro">assert_eq!</span>(kn.dist(), <span class="number">2.</span>);
<span class="kw">let </span>res = kn.add(<span class="number">11</span>, <span class="number">0.</span>);
<span class="macro">assert_eq!</span>(res, <span class="number">1.</span>);
<span class="macro">assert_eq!</span>(kn.k, <span class="number">2</span>);
<span class="macro">assert_eq!</span>(kn.pairs, <span class="macro">vec!</span>[(<span class="number">11</span>, <span class="number">0.</span>), (<span class="number">3</span>, <span class="number">1.</span>)]);
<span class="macro">assert_eq!</span>(kn.dist(), <span class="number">1.</span>);
}
<span class="attribute">#[test]
</span><span class="kw">fn </span>test_knearest2() {
<span class="kw">let </span><span class="kw-2">mut </span>kn = KNearest::new(<span class="number">4</span>, <span class="macro">vec!</span>[<span class="number">1</span>, <span class="number">2</span>, <span class="number">3</span>], <span class="macro">vec!</span>[<span class="number">3.</span>, <span class="number">2.</span>, <span class="number">1.</span>]);
<span class="macro">assert_eq!</span>(kn.k, <span class="number">4</span>);
<span class="macro">assert_eq!</span>(kn.pairs, <span class="macro">vec!</span>[(<span class="number">3</span>, <span class="number">1.</span>), (<span class="number">2</span>, <span class="number">2.</span>), (<span class="number">1</span>, <span class="number">3.</span>)]);
<span class="macro">assert_eq!</span>(kn.dist(), f64::MAX);
<span class="kw">let </span>res = kn.add(<span class="number">5</span>, <span class="number">1.5</span>);
<span class="macro">assert_eq!</span>(res, <span class="number">3.</span>);
<span class="macro">assert_eq!</span>(kn.k, <span class="number">4</span>);
<span class="macro">assert_eq!</span>(kn.pairs, <span class="macro">vec!</span>[(<span class="number">3</span>, <span class="number">1.</span>), (<span class="number">5</span>, <span class="number">1.5</span>), (<span class="number">2</span>, <span class="number">2.</span>), (<span class="number">1</span>, <span class="number">3.</span>)]);
<span class="macro">assert_eq!</span>(kn.dist(), <span class="number">3.</span>);
<span class="kw">let </span>res = kn.add(<span class="number">6</span>, <span class="number">6.</span>);
<span class="macro">assert_eq!</span>(res, <span class="number">3.</span>);
<span class="macro">assert_eq!</span>(kn.k, <span class="number">4</span>);
<span class="macro">assert_eq!</span>(kn.pairs, <span class="macro">vec!</span>[(<span class="number">3</span>, <span class="number">1.</span>), (<span class="number">5</span>, <span class="number">1.5</span>), (<span class="number">2</span>, <span class="number">2.</span>), (<span class="number">1</span>, <span class="number">3.</span>)]);
<span class="macro">assert_eq!</span>(kn.dist(), <span class="number">3.</span>);
<span class="kw">let </span>res = kn.add(<span class="number">7</span>, <span class="number">0.5</span>);
<span class="macro">assert_eq!</span>(res, <span class="number">2.</span>);
<span class="macro">assert_eq!</span>(kn.k, <span class="number">4</span>);
<span class="macro">assert_eq!</span>(kn.pairs, <span class="macro">vec!</span>[(<span class="number">7</span>, <span class="number">0.5</span>), (<span class="number">3</span>, <span class="number">1.</span>), (<span class="number">5</span>, <span class="number">1.5</span>), (<span class="number">2</span>, <span class="number">2.</span>)]);
<span class="macro">assert_eq!</span>(kn.dist(), <span class="number">2.</span>);
}
}
</code></pre></div>
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