quantrs2-ml 0.1.3

Quantum Machine Learning module for QuantRS2
Documentation
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
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
//! Quantum feature extraction and engineering for time series

use super::config::*;
use crate::error::{MLError, Result};
use crate::qnn::{QNNLayerType, QuantumNeuralNetwork};
use scirs2_core::ndarray::{s, Array1, Array2};
use serde::{Deserialize, Serialize};
use std::collections::HashMap;
use std::f64::consts::PI;

/// Quantum feature extractor for time series
#[derive(Debug, Clone)]
pub struct QuantumFeatureExtractor {
    /// Feature configuration
    config: FeatureEngineeringConfig,

    /// Quantum circuit parameters for feature extraction
    feature_circuits: Vec<Vec<f64>>,

    /// Feature transformation network
    transform_network: QuantumNeuralNetwork,

    /// Fourier feature generator
    fourier_generator: Option<QuantumFourierFeatures>,

    /// Wavelet transformer
    wavelet_transformer: Option<QuantumWaveletTransform>,

    /// Feature statistics for normalization
    feature_stats: FeatureStatistics,
}

/// Quantum Fourier features for frequency domain analysis
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct QuantumFourierFeatures {
    /// Number of Fourier components
    num_components: usize,

    /// Frequency ranges for analysis
    frequency_ranges: Vec<(f64, f64)>,

    /// Quantum Fourier transform circuit parameters
    qft_circuit: Vec<f64>,

    /// Learned frequency components
    learned_frequencies: Array1<f64>,

    /// Phase relationships
    phase_relationships: Array2<f64>,
}

/// Quantum wavelet transform for multi-resolution analysis
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct QuantumWaveletTransform {
    /// Wavelet type
    wavelet_type: WaveletType,

    /// Number of decomposition levels
    num_levels: usize,

    /// Quantum wavelet circuits
    wavelet_circuits: Vec<Vec<f64>>,

    /// Threshold for denoising
    threshold: f64,

    /// Decomposition coefficients
    coefficients: Vec<Array2<f64>>,
}

/// Feature statistics for normalization and analysis
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct FeatureStatistics {
    /// Feature means
    pub means: Array1<f64>,

    /// Feature standard deviations
    pub stds: Array1<f64>,

    /// Feature ranges
    pub ranges: Array1<f64>,

    /// Correlation matrix
    pub correlations: Array2<f64>,

    /// Quantum entanglement measures
    pub entanglement_measures: Array1<f64>,
}

/// Lag feature generator
#[derive(Debug, Clone)]
pub struct LagFeatureGenerator {
    lag_periods: Vec<usize>,
    feature_names: Vec<String>,
}

/// Rolling statistics calculator
#[derive(Debug, Clone)]
pub struct RollingStatsCalculator {
    window_sizes: Vec<usize>,
    stats_types: Vec<StatType>,
}

/// Statistical types for rolling calculations
#[derive(Debug, Clone, Serialize, Deserialize)]
pub enum StatType {
    Mean,
    Std,
    Min,
    Max,
    Median,
    Quantile(f64),
    Skewness,
    Kurtosis,
}

/// Interaction feature generator
#[derive(Debug, Clone)]
pub struct InteractionFeatureGenerator {
    max_interaction_order: usize,
    interaction_types: Vec<InteractionType>,
}

/// Types of feature interactions
#[derive(Debug, Clone, Serialize, Deserialize)]
pub enum InteractionType {
    Multiplication,
    Division,
    Addition,
    Subtraction,
    QuantumEntanglement,
}

impl QuantumFeatureExtractor {
    /// Create new quantum feature extractor
    pub fn new(config: FeatureEngineeringConfig, num_qubits: usize) -> Result<Self> {
        // Create quantum circuits for feature extraction
        let mut feature_circuits = Vec::new();

        for circuit_idx in 0..5 {
            let mut circuit_params = Vec::new();

            // Feature extraction gates
            for qubit_idx in 0..num_qubits {
                circuit_params.push(1.0); // H gate marker
                circuit_params.push(PI * circuit_idx as f64 / 5.0); // RY angle
            }

            // Entanglement for feature correlation
            for qubit_idx in 0..num_qubits.saturating_sub(1) {
                circuit_params.push(2.0); // CNOT marker
                circuit_params.push(PI / 4.0 * qubit_idx as f64); // Controlled rotation
            }

            feature_circuits.push(circuit_params);
        }

        // Create transformation network
        let layers = vec![
            QNNLayerType::EncodingLayer { num_features: 100 },
            QNNLayerType::VariationalLayer { num_params: 50 },
            QNNLayerType::MeasurementLayer {
                measurement_basis: "computational".to_string(),
            },
        ];

        let transform_network = QuantumNeuralNetwork::new(layers, num_qubits, 100, 50)?;

        // Create Fourier feature generator if enabled
        let fourier_generator = if config.quantum_fourier_features {
            Some(QuantumFourierFeatures::new(
                20,
                vec![(0.1, 10.0), (10.0, 100.0)],
                num_qubits,
            )?)
        } else {
            None
        };

        // Create wavelet transformer if enabled
        let wavelet_transformer = if config.wavelet_decomposition {
            Some(QuantumWaveletTransform::new(
                WaveletType::Daubechies(4),
                3,
                num_qubits,
            )?)
        } else {
            None
        };

        // Initialize feature statistics
        let feature_stats = FeatureStatistics::new();

        Ok(Self {
            config,
            feature_circuits,
            transform_network,
            fourier_generator,
            wavelet_transformer,
            feature_stats,
        })
    }

    /// Extract comprehensive features from time series data
    pub fn extract_features(&self, data: &Array2<f64>) -> Result<Array2<f64>> {
        let mut features = data.clone();

        // Apply lag features
        features = self.add_lag_features(&features)?;

        // Apply rolling statistics
        features = self.add_rolling_features(&features)?;

        // Apply quantum Fourier features
        if let Some(ref fourier_gen) = self.fourier_generator {
            features = fourier_gen.transform(&features)?;
        }

        // Apply wavelet decomposition
        if let Some(ref wavelet_trans) = self.wavelet_transformer {
            features = wavelet_trans.decompose(&features)?;
        }

        // Apply interaction features
        if self.config.interaction_features {
            features = self.add_interaction_features(&features)?;
        }

        // Apply quantum transformation
        features = self.apply_quantum_transformation(&features)?;

        // Normalize features
        features = self.normalize_features(&features)?;

        Ok(features)
    }

    /// Add lag features to the dataset
    fn add_lag_features(&self, data: &Array2<f64>) -> Result<Array2<f64>> {
        if self.config.lag_features.is_empty() {
            return Ok(data.clone());
        }

        let (n_samples, n_features) = data.dim();
        let total_lag_features = self.config.lag_features.len() * n_features;
        let mut enhanced_data = Array2::zeros((n_samples, n_features + total_lag_features));

        // Copy original features
        enhanced_data.slice_mut(s![.., 0..n_features]).assign(data);

        // Add lag features
        let mut feature_offset = n_features;
        for &lag in &self.config.lag_features {
            for feature_idx in 0..n_features {
                for sample_idx in lag..n_samples {
                    enhanced_data[[sample_idx, feature_offset]] =
                        data[[sample_idx - lag, feature_idx]];
                }
                feature_offset += 1;
            }
        }

        Ok(enhanced_data)
    }

    /// Add rolling statistical features
    fn add_rolling_features(&self, data: &Array2<f64>) -> Result<Array2<f64>> {
        if self.config.rolling_windows.is_empty() {
            return Ok(data.clone());
        }

        let (n_samples, n_features) = data.dim();
        let stats_per_window = 3; // mean, std, max
        let total_rolling_features =
            self.config.rolling_windows.len() * n_features * stats_per_window;
        let mut enhanced_data = Array2::zeros((n_samples, n_features + total_rolling_features));

        // Copy original features
        enhanced_data.slice_mut(s![.., 0..n_features]).assign(data);

        // Add rolling features
        let mut feature_offset = n_features;
        for &window_size in &self.config.rolling_windows {
            for feature_idx in 0..n_features {
                for sample_idx in window_size..n_samples {
                    let window_start = sample_idx.saturating_sub(window_size);
                    let window_data = data.slice(s![window_start..sample_idx, feature_idx]);

                    // Rolling mean
                    enhanced_data[[sample_idx, feature_offset]] = window_data.mean().unwrap_or(0.0);

                    // Rolling std
                    enhanced_data[[sample_idx, feature_offset + 1]] = window_data.std(1.0);

                    // Rolling max
                    enhanced_data[[sample_idx, feature_offset + 2]] =
                        window_data.iter().fold(f64::NEG_INFINITY, |a, &b| a.max(b));
                }
                feature_offset += stats_per_window;
            }
        }

        Ok(enhanced_data)
    }

    /// Add interaction features between different variables
    fn add_interaction_features(&self, data: &Array2<f64>) -> Result<Array2<f64>> {
        let (n_samples, n_features) = data.dim();

        if n_features < 2 {
            return Ok(data.clone());
        }

        // Calculate number of pairwise interactions
        let n_interactions = n_features * (n_features - 1) / 2;
        let mut enhanced_data = Array2::zeros((n_samples, n_features + n_interactions));

        // Copy original features
        enhanced_data.slice_mut(s![.., 0..n_features]).assign(data);

        // Add interaction features
        let mut interaction_idx = n_features;
        for i in 0..n_features {
            for j in (i + 1)..n_features {
                for sample_idx in 0..n_samples {
                    // Multiplicative interaction
                    enhanced_data[[sample_idx, interaction_idx]] =
                        data[[sample_idx, i]] * data[[sample_idx, j]];
                }
                interaction_idx += 1;
            }
        }

        Ok(enhanced_data)
    }

    /// Apply quantum transformation to features
    fn apply_quantum_transformation(&self, data: &Array2<f64>) -> Result<Array2<f64>> {
        if !self.config.quantum_features {
            return Ok(data.clone());
        }

        let mut quantum_features = Array2::zeros((data.nrows(), self.transform_network.output_dim));

        for (i, row) in data.rows().into_iter().enumerate() {
            let row_vec = row.to_owned();
            let transformed = self.transform_network.forward(&row_vec)?;
            quantum_features.row_mut(i).assign(&transformed);
        }

        // Combine original and quantum features
        let (n_samples, n_features) = data.dim();
        let mut combined_features =
            Array2::zeros((n_samples, n_features + quantum_features.ncols()));

        combined_features
            .slice_mut(s![.., 0..n_features])
            .assign(data);
        combined_features
            .slice_mut(s![.., n_features..])
            .assign(&quantum_features);

        Ok(combined_features)
    }

    /// Normalize features using learned statistics
    fn normalize_features(&self, data: &Array2<f64>) -> Result<Array2<f64>> {
        // Simple standardization (in practice would use learned statistics)
        let mut normalized = data.clone();

        for j in 0..data.ncols() {
            let column = data.column(j);
            let mean = column.mean().unwrap_or(0.0);
            let std = column.std(1.0).max(1e-8); // Avoid division by zero

            for i in 0..data.nrows() {
                normalized[[i, j]] = (data[[i, j]] - mean) / std;
            }
        }

        Ok(normalized)
    }

    /// Update feature statistics from training data
    pub fn fit_statistics(&mut self, data: &Array2<f64>) -> Result<()> {
        self.feature_stats.compute_statistics(data)?;
        Ok(())
    }

    /// Get feature importance scores
    pub fn get_feature_importance(&self) -> Result<Array1<f64>> {
        // Simplified feature importance based on quantum entanglement
        Ok(self.feature_stats.entanglement_measures.clone())
    }
}

impl QuantumFourierFeatures {
    /// Create new quantum Fourier feature generator
    pub fn new(
        num_components: usize,
        frequency_ranges: Vec<(f64, f64)>,
        num_qubits: usize,
    ) -> Result<Self> {
        let mut qft_circuit = Vec::new();

        // Create quantum Fourier transform circuit parameters
        for qubit_idx in 0..num_qubits {
            qft_circuit.push(1.0); // H gate marker
        }

        // Controlled phase gates for QFT
        for i in 0..num_qubits {
            for j in (i + 1)..num_qubits {
                let phase = PI / 2_f64.powi((j - i) as i32);
                qft_circuit.push(phase);
            }
        }

        // Initialize learned frequencies
        let learned_frequencies = Array1::from_shape_fn(num_components, |i| 0.1 + i as f64 * 0.1);

        // Initialize phase relationships
        let phase_relationships = Array2::zeros((num_components, num_components));

        Ok(Self {
            num_components,
            frequency_ranges,
            qft_circuit,
            learned_frequencies,
            phase_relationships,
        })
    }

    /// Transform data with quantum Fourier features
    pub fn transform(&self, data: &Array2<f64>) -> Result<Array2<f64>> {
        let (n_samples, n_features) = data.dim();
        let fourier_features_count = self.num_components * 2; // sin and cos components
        let mut fourier_features = Array2::zeros((n_samples, n_features + fourier_features_count));

        // Copy original features
        fourier_features
            .slice_mut(s![.., 0..n_features])
            .assign(data);

        // Add Fourier features
        for i in 0..n_samples {
            for (j, &freq) in self.learned_frequencies.iter().enumerate() {
                let phase = i as f64 * freq * 2.0 * PI / n_samples as f64;

                // Apply quantum enhancement to phase
                let quantum_phase = self.apply_quantum_phase_enhancement(phase, j)?;

                fourier_features[[i, n_features + 2 * j]] = quantum_phase.sin();
                fourier_features[[i, n_features + 2 * j + 1]] = quantum_phase.cos();
            }
        }

        Ok(fourier_features)
    }

    /// Apply quantum enhancement to phase calculations
    fn apply_quantum_phase_enhancement(&self, phase: f64, component_idx: usize) -> Result<f64> {
        // Apply quantum circuit parameters to enhance phase
        let mut enhanced_phase = phase;

        if component_idx < self.qft_circuit.len() {
            let circuit_param = self.qft_circuit[component_idx % self.qft_circuit.len()];
            enhanced_phase = phase * circuit_param + 0.1 * (phase * circuit_param).sin();
        }

        Ok(enhanced_phase)
    }

    /// Learn optimal frequencies from data
    pub fn learn_frequencies(&mut self, data: &Array2<f64>) -> Result<()> {
        // Simplified frequency learning using spectral analysis
        for i in 0..self.num_components.min(data.ncols()) {
            // Estimate dominant frequency in each column
            let column = data.column(i % data.ncols());
            let estimated_freq = self.estimate_dominant_frequency(&column)?;
            self.learned_frequencies[i] = estimated_freq;
        }

        Ok(())
    }

    /// Estimate dominant frequency in a signal
    fn estimate_dominant_frequency(
        &self,
        signal: &scirs2_core::ndarray::ArrayView1<f64>,
    ) -> Result<f64> {
        // Simplified frequency estimation (in practice would use FFT)
        let n = signal.len();
        let mut max_power = 0.0;
        let mut dominant_freq = 0.1;

        for k in 1..n / 2 {
            let freq = k as f64 / n as f64;
            let mut power = 0.0;

            for (i, &value) in signal.iter().enumerate() {
                power += value * (2.0 * PI * freq * i as f64).cos();
            }

            if power.abs() > max_power {
                max_power = power.abs();
                dominant_freq = freq;
            }
        }

        Ok(dominant_freq)
    }
}

impl QuantumWaveletTransform {
    /// Create new quantum wavelet transformer
    pub fn new(wavelet_type: WaveletType, num_levels: usize, num_qubits: usize) -> Result<Self> {
        let mut wavelet_circuits = Vec::new();

        for level in 0..num_levels {
            let mut circuit_params = Vec::new();

            // Wavelet decomposition gates
            for qubit_idx in 0..num_qubits / 2 {
                circuit_params.push(1.0); // H gate marker
                circuit_params.push(PI / 4.0 * (level + 1) as f64); // Level-dependent phase rotation
            }

            // Quantum scaling parameters
            for qubit_idx in 0..num_qubits / 2 {
                circuit_params.push(2.0_f64.powi(-(level as i32))); // Dyadic scaling
            }

            wavelet_circuits.push(circuit_params);
        }

        Ok(Self {
            wavelet_type,
            num_levels,
            wavelet_circuits,
            threshold: 0.1,
            coefficients: Vec::new(),
        })
    }

    /// Decompose signal using quantum wavelets
    pub fn decompose(&self, data: &Array2<f64>) -> Result<Array2<f64>> {
        let mut decomposed = data.clone();

        // Apply wavelet decomposition at each level
        for level in 0..self.num_levels {
            decomposed = self.apply_wavelet_level(&decomposed, level)?;
        }

        // Apply denoising threshold
        self.apply_threshold(&mut decomposed);

        Ok(decomposed)
    }

    /// Apply wavelet decomposition at specific level
    fn apply_wavelet_level(&self, data: &Array2<f64>, level: usize) -> Result<Array2<f64>> {
        if level >= self.wavelet_circuits.len() {
            return Ok(data.clone());
        }

        let circuit = &self.wavelet_circuits[level];
        let mut result = data.clone();

        // Apply quantum wavelet transformation
        for i in 0..data.nrows() {
            for j in 0..data.ncols() {
                let mut value = data[[i, j]];

                // Apply wavelet basis function with quantum enhancement
                for (k, &param) in circuit.iter().enumerate() {
                    let scale = 2.0_f64.powi(-(level as i32));
                    let wavelet_value = self.wavelet_function(value * scale, param)?;
                    value = value * 0.7 + wavelet_value * 0.3; // Blend original and wavelet
                }

                result[[i, j]] = value;
            }
        }

        Ok(result)
    }

    /// Quantum-enhanced wavelet basis function
    fn wavelet_function(&self, x: f64, quantum_param: f64) -> Result<f64> {
        match self.wavelet_type {
            WaveletType::Haar => {
                // Quantum-enhanced Haar wavelet
                let classical_haar = if x >= 0.0 && x < 0.5 {
                    1.0
                } else if x >= 0.5 && x < 1.0 {
                    -1.0
                } else {
                    0.0
                };

                let quantum_enhancement = (quantum_param * x).sin() * 0.1;
                Ok(classical_haar + quantum_enhancement)
            }
            WaveletType::Daubechies(_) => {
                // Simplified Daubechies with quantum enhancement
                let classical = (PI * x).sin() * (-x * x / 2.0).exp();
                let quantum_enhancement = (quantum_param * x * PI).cos() * 0.05;
                Ok(classical + quantum_enhancement)
            }
            WaveletType::Quantum => {
                // Fully quantum wavelet
                let quantum_phase = quantum_param * x * PI;
                Ok(quantum_phase.sin() * (-x * x).exp())
            }
            _ => {
                // Default to Gaussian-like wavelet
                Ok((PI * x).sin() * (-x * x / 2.0).exp())
            }
        }
    }

    /// Apply denoising threshold
    fn apply_threshold(&self, data: &mut Array2<f64>) {
        for value in data.iter_mut() {
            if value.abs() < self.threshold {
                *value = 0.0;
            }
        }
    }
}

impl FeatureStatistics {
    /// Create new feature statistics
    pub fn new() -> Self {
        Self {
            means: Array1::zeros(0),
            stds: Array1::zeros(0),
            ranges: Array1::zeros(0),
            correlations: Array2::zeros((0, 0)),
            entanglement_measures: Array1::zeros(0),
        }
    }

    /// Compute comprehensive statistics from data
    pub fn compute_statistics(&mut self, data: &Array2<f64>) -> Result<()> {
        let (n_samples, n_features) = data.dim();

        // Compute basic statistics
        self.means = Array1::zeros(n_features);
        self.stds = Array1::zeros(n_features);
        self.ranges = Array1::zeros(n_features);

        for j in 0..n_features {
            let column = data.column(j);
            self.means[j] = column.mean().unwrap_or(0.0);
            self.stds[j] = column.std(1.0);

            let min_val = column.iter().fold(f64::INFINITY, |a, &b| a.min(b));
            let max_val = column.iter().fold(f64::NEG_INFINITY, |a, &b| a.max(b));
            self.ranges[j] = max_val - min_val;
        }

        // Compute correlation matrix
        self.correlations = Array2::zeros((n_features, n_features));
        for i in 0..n_features {
            for j in 0..n_features {
                let corr = self.compute_correlation(data, i, j)?;
                self.correlations[[i, j]] = corr;
            }
        }

        // Compute quantum entanglement measures
        self.entanglement_measures = Array1::zeros(n_features);
        for j in 0..n_features {
            let entanglement = self.compute_quantum_entanglement(data, j)?;
            self.entanglement_measures[j] = entanglement;
        }

        Ok(())
    }

    /// Compute correlation between two features
    fn compute_correlation(&self, data: &Array2<f64>, i: usize, j: usize) -> Result<f64> {
        let col_i = data.column(i);
        let col_j = data.column(j);

        let mean_i = col_i.mean().unwrap_or(0.0);
        let mean_j = col_j.mean().unwrap_or(0.0);

        let mut numerator = 0.0;
        let mut sum_sq_i = 0.0;
        let mut sum_sq_j = 0.0;

        for (val_i, val_j) in col_i.iter().zip(col_j.iter()) {
            let dev_i = val_i - mean_i;
            let dev_j = val_j - mean_j;

            numerator += dev_i * dev_j;
            sum_sq_i += dev_i * dev_i;
            sum_sq_j += dev_j * dev_j;
        }

        let denominator = (sum_sq_i * sum_sq_j).sqrt();
        if denominator < 1e-10 {
            Ok(0.0)
        } else {
            Ok(numerator / denominator)
        }
    }

    /// Compute quantum entanglement measure for a feature
    fn compute_quantum_entanglement(&self, data: &Array2<f64>, feature_idx: usize) -> Result<f64> {
        let column = data.column(feature_idx);

        // Simplified quantum entanglement measure based on entropy
        let mut entropy = 0.0;
        let n_bins = 10;
        let min_val = column.iter().fold(f64::INFINITY, |a, &b| a.min(b));
        let max_val = column.iter().fold(f64::NEG_INFINITY, |a, &b| a.max(b));
        let range = max_val - min_val;

        if range > 1e-10 {
            let mut bin_counts = vec![0; n_bins];

            for &value in column.iter() {
                let bin_idx = ((value - min_val) / range * (n_bins - 1) as f64) as usize;
                let bin_idx = bin_idx.min(n_bins - 1);
                bin_counts[bin_idx] += 1;
            }

            let n_total = column.len() as f64;
            for &count in &bin_counts {
                if count > 0 {
                    let prob = count as f64 / n_total;
                    entropy -= prob * prob.ln();
                }
            }
        }

        Ok(entropy / n_bins as f64) // Normalized entanglement measure
    }
}

/// Feature selection utilities
pub struct QuantumFeatureSelector {
    selection_method: FeatureSelectionMethod,
    max_features: Option<usize>,
}

/// Methods for quantum feature selection
#[derive(Debug, Clone, Serialize, Deserialize)]
pub enum FeatureSelectionMethod {
    QuantumMutualInformation,
    QuantumEntanglement,
    VariationalImportance,
    HybridSelection,
}

impl QuantumFeatureSelector {
    /// Create new quantum feature selector
    pub fn new(method: FeatureSelectionMethod, max_features: Option<usize>) -> Self {
        Self {
            selection_method: method,
            max_features,
        }
    }

    /// Select most important features using quantum methods
    pub fn select_features(&self, data: &Array2<f64>, target: &Array1<f64>) -> Result<Vec<usize>> {
        match self.selection_method {
            FeatureSelectionMethod::QuantumMutualInformation => {
                self.quantum_mutual_information_selection(data, target)
            }
            FeatureSelectionMethod::QuantumEntanglement => {
                self.quantum_entanglement_selection(data, target)
            }
            FeatureSelectionMethod::VariationalImportance => {
                self.variational_importance_selection(data, target)
            }
            FeatureSelectionMethod::HybridSelection => self.hybrid_selection(data, target),
        }
    }

    /// Select features based on quantum mutual information
    fn quantum_mutual_information_selection(
        &self,
        data: &Array2<f64>,
        target: &Array1<f64>,
    ) -> Result<Vec<usize>> {
        let n_features = data.ncols();
        let mut feature_scores = Vec::new();

        for feature_idx in 0..n_features {
            let column = data.column(feature_idx);
            let mutual_info = self.compute_quantum_mutual_information(&column, target)?;
            feature_scores.push((feature_idx, mutual_info));
        }

        // Sort by score and select top features
        feature_scores.sort_by(|a, b| b.1.partial_cmp(&a.1).unwrap_or(std::cmp::Ordering::Equal));

        let num_to_select = self.max_features.unwrap_or(n_features).min(n_features);
        Ok(feature_scores
            .into_iter()
            .take(num_to_select)
            .map(|(idx, _)| idx)
            .collect())
    }

    /// Compute quantum mutual information between feature and target
    fn compute_quantum_mutual_information(
        &self,
        feature: &scirs2_core::ndarray::ArrayView1<f64>,
        target: &Array1<f64>,
    ) -> Result<f64> {
        // Simplified quantum mutual information calculation
        let mut mutual_info = 0.0;

        // Discretize values for mutual information calculation
        let n_bins = 5;
        let feature_bins = self.discretize_values(feature, n_bins)?;
        let target_bins = self.discretize_values(&target.view(), n_bins)?;

        // Calculate joint and marginal probabilities
        let n_samples = feature.len();
        let mut joint_counts = HashMap::new();
        let mut feature_counts = HashMap::new();
        let mut target_counts = HashMap::new();

        for i in 0..n_samples {
            let f_bin = feature_bins[i];
            let t_bin = target_bins[i];

            *joint_counts.entry((f_bin, t_bin)).or_insert(0) += 1;
            *feature_counts.entry(f_bin).or_insert(0) += 1;
            *target_counts.entry(t_bin).or_insert(0) += 1;
        }

        // Calculate mutual information with quantum enhancement
        for ((f_bin, t_bin), &joint_count) in &joint_counts {
            let joint_prob = joint_count as f64 / n_samples as f64;
            let feature_prob = *feature_counts.get(f_bin).unwrap_or(&0) as f64 / n_samples as f64;
            let target_prob = *target_counts.get(t_bin).unwrap_or(&0) as f64 / n_samples as f64;

            if joint_prob > 0.0 && feature_prob > 0.0 && target_prob > 0.0 {
                let classical_mi = joint_prob * (joint_prob / (feature_prob * target_prob)).ln();

                // Quantum enhancement factor
                let quantum_factor = 1.0 + 0.1 * (joint_prob * PI).sin().abs();
                mutual_info += classical_mi * quantum_factor;
            }
        }

        Ok(mutual_info)
    }

    /// Discretize continuous values into bins
    fn discretize_values(
        &self,
        values: &scirs2_core::ndarray::ArrayView1<f64>,
        n_bins: usize,
    ) -> Result<Vec<usize>> {
        let min_val = values.iter().fold(f64::INFINITY, |a, &b| a.min(b));
        let max_val = values.iter().fold(f64::NEG_INFINITY, |a, &b| a.max(b));
        let range = max_val - min_val;

        let mut bins = Vec::new();
        for &value in values.iter() {
            let bin_idx = if range > 1e-10 {
                ((value - min_val) / range * (n_bins - 1) as f64) as usize
            } else {
                0
            };
            bins.push(bin_idx.min(n_bins - 1));
        }

        Ok(bins)
    }

    /// Placeholder implementations for other selection methods
    fn quantum_entanglement_selection(
        &self,
        data: &Array2<f64>,
        target: &Array1<f64>,
    ) -> Result<Vec<usize>> {
        // Simplified: select all features
        Ok((0..data.ncols()).collect())
    }

    fn variational_importance_selection(
        &self,
        data: &Array2<f64>,
        target: &Array1<f64>,
    ) -> Result<Vec<usize>> {
        // Simplified: select all features
        Ok((0..data.ncols()).collect())
    }

    fn hybrid_selection(&self, data: &Array2<f64>, target: &Array1<f64>) -> Result<Vec<usize>> {
        // Combine multiple methods
        self.quantum_mutual_information_selection(data, target)
    }
}