1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
//! Label Propagation algorithm implementation
use scirs2_core::ndarray_ext::{Array1, Array2, ArrayView1, ArrayView2, Axis};
use sklears_core::{
error::{Result as SklResult, SklearsError},
traits::{Estimator, Fit, Predict, PredictProba, Untrained},
types::Float,
};
use std::collections::BTreeSet;
/// Label Propagation classifier
///
/// Label propagation is a graph-based semi-supervised learning algorithm that
/// propagates labels through a neighborhood graph. It uses the graph Laplacian
/// to propagate labels from labeled to unlabeled points.
///
/// # Parameters
///
/// * `kernel` - Kernel function ('knn' or 'rbf')
/// * `gamma` - Parameter for RBF kernel
/// * `n_neighbors` - Number of neighbors for KNN kernel
/// * `alpha` - Clamping factor (0.0 = hard clamping, 1.0 = soft clamping)
/// * `max_iter` - Maximum number of iterations
/// * `tol` - Convergence tolerance
///
/// # Examples
///
/// ```
/// use scirs2_core::array;
/// use sklears_semi_supervised::LabelPropagation;
/// use sklears_core::traits::{Predict, Fit};
///
///
/// let X = array![[1.0, 2.0], [2.0, 3.0], [3.0, 4.0], [4.0, 5.0]];
/// let y = array![0, 1, -1, -1]; // -1 indicates unlabeled
///
/// let lp = LabelPropagation::new()
/// .kernel("rbf".to_string())
/// .gamma(20.0);
/// let fitted = lp.fit(&X.view(), &y.view()).unwrap();
/// let predictions = fitted.predict(&X.view()).unwrap();
/// ```
#[derive(Debug, Clone)]
pub struct LabelPropagation<S = Untrained> {
state: S,
kernel: String,
gamma: f64,
n_neighbors: usize,
alpha: f64,
max_iter: usize,
tol: f64,
}
impl LabelPropagation<Untrained> {
/// Create a new LabelPropagation instance
pub fn new() -> Self {
Self {
state: Untrained,
kernel: "rbf".to_string(),
gamma: 20.0,
n_neighbors: 7,
alpha: 1.0,
max_iter: 1000,
tol: 1e-3,
}
}
/// Set the kernel function
pub fn kernel(mut self, kernel: String) -> Self {
self.kernel = kernel;
self
}
/// Set the gamma parameter for RBF kernel
pub fn gamma(mut self, gamma: f64) -> Self {
self.gamma = gamma;
self
}
/// Set the number of neighbors for KNN kernel
pub fn n_neighbors(mut self, n_neighbors: usize) -> Self {
self.n_neighbors = n_neighbors;
self
}
/// Set the clamping factor
pub fn alpha(mut self, alpha: f64) -> Self {
self.alpha = alpha;
self
}
/// Set the maximum number of iterations
pub fn max_iter(mut self, max_iter: usize) -> Self {
self.max_iter = max_iter;
self
}
/// Set the convergence tolerance
pub fn tol(mut self, tol: f64) -> Self {
self.tol = tol;
self
}
}
impl Default for LabelPropagation<Untrained> {
fn default() -> Self {
Self::new()
}
}
impl Estimator for LabelPropagation<Untrained> {
type Config = ();
type Error = SklearsError;
type Float = Float;
fn config(&self) -> &Self::Config {
&()
}
}
impl Fit<ArrayView2<'_, Float>, ArrayView1<'_, i32>> for LabelPropagation<Untrained> {
type Fitted = LabelPropagation<LabelPropagationTrained>;
#[allow(non_snake_case)]
fn fit(self, X: &ArrayView2<'_, Float>, y: &ArrayView1<'_, i32>) -> SklResult<Self::Fitted> {
let X = X.to_owned();
let y = y.to_owned();
let (n_samples, _n_features) = X.dim();
// Identify labeled and unlabeled samples
let mut labeled_indices = Vec::new();
let mut unlabeled_indices = Vec::new();
let mut classes = BTreeSet::new();
for (i, &label) in y.iter().enumerate() {
if label == -1 {
unlabeled_indices.push(i);
} else {
labeled_indices.push(i);
classes.insert(label);
}
}
if labeled_indices.is_empty() {
return Err(SklearsError::InvalidInput(
"No labeled samples provided".to_string(),
));
}
let classes: Vec<i32> = classes.into_iter().collect();
let n_classes = classes.len();
// Build affinity matrix
let W = self.build_affinity_matrix(&X)?;
// Normalize the matrix (row-wise normalization)
let D = W.sum_axis(Axis(1));
let mut P = Array2::zeros((n_samples, n_samples));
for i in 0..n_samples {
if D[i] > 0.0 {
for j in 0..n_samples {
P[[i, j]] = W[[i, j]] / D[i];
}
}
}
// Initialize label distributions
let mut Y = Array2::zeros((n_samples, n_classes));
for &idx in &labeled_indices {
if let Some(class_idx) = classes.iter().position(|&c| c == y[idx]) {
Y[[idx, class_idx]] = 1.0;
}
}
// Label propagation iterations
let mut prev_Y = Y.clone();
for _iter in 0..self.max_iter {
// Propagate: Y = P * Y
Y = P.dot(&Y);
// Clamp labeled nodes
for &idx in &labeled_indices {
if let Some(class_idx) = classes.iter().position(|&c| c == y[idx]) {
for k in 0..n_classes {
Y[[idx, k]] = if k == class_idx { 1.0 } else { 0.0 };
}
}
}
// Check convergence
let diff = (&Y - &prev_Y).mapv(|x| x.abs()).sum();
if diff < self.tol {
break;
}
prev_Y = Y.clone();
}
Ok(LabelPropagation {
state: LabelPropagationTrained {
X_train: X.clone(),
y_train: y,
classes: Array1::from(classes),
label_distributions: Y,
affinity_matrix: W,
},
kernel: self.kernel,
gamma: self.gamma,
n_neighbors: self.n_neighbors,
alpha: self.alpha,
max_iter: self.max_iter,
tol: self.tol,
})
}
}
impl LabelPropagation<Untrained> {
fn build_affinity_matrix(&self, X: &Array2<f64>) -> SklResult<Array2<f64>> {
let n_samples = X.nrows();
let mut W = Array2::zeros((n_samples, n_samples));
match self.kernel.as_str() {
"rbf" => {
for i in 0..n_samples {
for j in 0..n_samples {
if i != j {
let diff = &X.row(i) - &X.row(j);
let dist_sq = diff.mapv(|x| x * x).sum();
W[[i, j]] = (-self.gamma * dist_sq).exp();
}
}
}
}
"knn" => {
for i in 0..n_samples {
let mut distances: Vec<(usize, f64)> = Vec::new();
for j in 0..n_samples {
if i != j {
let diff = &X.row(i) - &X.row(j);
let dist = diff.mapv(|x: f64| x * x).sum().sqrt();
distances.push((j, dist));
}
}
distances
.sort_by(|a, b| a.1.partial_cmp(&b.1).expect("operation should succeed"));
for &(j, _) in distances.iter().take(self.n_neighbors) {
W[[i, j]] = 1.0;
W[[j, i]] = 1.0; // Make symmetric
}
}
}
_ => {
return Err(SklearsError::InvalidInput(format!(
"Unknown kernel: {}",
self.kernel
)));
}
}
Ok(W)
}
}
impl Predict<ArrayView2<'_, Float>, Array1<i32>> for LabelPropagation<LabelPropagationTrained> {
#[allow(non_snake_case)]
fn predict(&self, X: &ArrayView2<'_, Float>) -> SklResult<Array1<i32>> {
let X = X.to_owned();
let n_test = X.nrows();
let mut predictions = Array1::zeros(n_test);
for i in 0..n_test {
// Find most similar training sample
let mut min_dist = f64::INFINITY;
let mut best_idx = 0;
for j in 0..self.state.X_train.nrows() {
let diff = &X.row(i) - &self.state.X_train.row(j);
let dist = diff.mapv(|x: f64| x * x).sum().sqrt();
if dist < min_dist {
min_dist = dist;
best_idx = j;
}
}
// Use the label distribution of the most similar sample
let distributions = self.state.label_distributions.row(best_idx);
let max_idx = distributions
.iter()
.enumerate()
.max_by(|a, b| a.1.partial_cmp(b.1).expect("operation should succeed"))
.expect("operation should succeed")
.0;
predictions[i] = self.state.classes[max_idx];
}
Ok(predictions)
}
}
impl PredictProba<ArrayView2<'_, Float>, Array2<f64>>
for LabelPropagation<LabelPropagationTrained>
{
#[allow(non_snake_case)]
fn predict_proba(&self, X: &ArrayView2<'_, Float>) -> SklResult<Array2<f64>> {
let X = X.to_owned();
let n_test = X.nrows();
let n_classes = self.state.classes.len();
let mut probas = Array2::zeros((n_test, n_classes));
for i in 0..n_test {
// Find most similar training sample
let mut min_dist = f64::INFINITY;
let mut best_idx = 0;
for j in 0..self.state.X_train.nrows() {
let diff = &X.row(i) - &self.state.X_train.row(j);
let dist = diff.mapv(|x: f64| x * x).sum().sqrt();
if dist < min_dist {
min_dist = dist;
best_idx = j;
}
}
// Copy the label distribution
for k in 0..n_classes {
probas[[i, k]] = self.state.label_distributions[[best_idx, k]];
}
}
Ok(probas)
}
}
/// Trained state for LabelPropagation
#[derive(Debug, Clone)]
pub struct LabelPropagationTrained {
/// X_train
pub X_train: Array2<f64>,
/// y_train
pub y_train: Array1<i32>,
/// classes
pub classes: Array1<i32>,
/// label_distributions
pub label_distributions: Array2<f64>,
/// affinity_matrix
pub affinity_matrix: Array2<f64>,
}