kizzasi-tokenizer 0.2.1

Signal quantization and tokenization for Kizzasi AGSP - VQ-VAE, μ-law, continuous embeddings
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
//! Product Quantizer — sub-space factored vector quantization.
//!
//! Contains [`ProductQuantizerConfig`], [`BatchQuantizeResult`], and [`ProductQuantizer`].

use super::vector_quantizer::{VQConfig, VectorQuantizer};
use crate::error::{TokenizerError, TokenizerResult};
use scirs2_core::ndarray::Array1;
use serde::{Deserialize, Serialize};

/// Product Quantization (PQ) Configuration
///
/// Product Quantization splits the embedding space into M subspaces and
/// quantizes each independently, enabling very large effective codebook sizes
/// with linear memory/compute scaling.
///
/// ## Example
///
/// With 4 subspaces and 256 codes per subspace:
/// - Memory: 4 * 256 * (embed_dim/4) parameters
/// - Effective codebook size: 256^4 = 4.3 billion codes
/// - vs. Standard VQ: needs 4.3B * embed_dim parameters
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct ProductQuantizerConfig {
    /// Number of subspaces (M)
    pub num_subspaces: usize,
    /// Codebook size per subspace (K)
    pub codebook_size_per_subspace: usize,
    /// Total embedding dimension (must be divisible by num_subspaces)
    pub embed_dim: usize,
    /// Beta parameter for commitment loss
    pub commitment_beta: f32,
    /// EMA decay rate
    pub ema_decay: f32,
    /// Epsilon for numerical stability
    pub epsilon: f32,
    /// Use EMA updates
    pub use_ema: bool,
}

impl Default for ProductQuantizerConfig {
    fn default() -> Self {
        Self {
            num_subspaces: 4,
            codebook_size_per_subspace: 256,
            embed_dim: 64,
            commitment_beta: 0.25,
            ema_decay: 0.99,
            epsilon: 1e-5,
            use_ema: true,
        }
    }
}

/// Type alias for batch quantization results
pub type BatchQuantizeResult = (Vec<Vec<usize>>, Vec<Array1<f32>>);

/// Product Quantizer
///
/// Implements Product Quantization (Jegou et al., 2011) for efficient
/// high-dimensional vector quantization with exponentially large effective
/// codebook sizes.
///
/// # Algorithm
///
/// 1. Split D-dimensional vector into M subspaces of D/M dimensions
/// 2. Quantize each subspace independently using its own codebook
/// 3. Concatenate quantized subspaces
/// 4. Effective codebook size: K^M (K = codes per subspace)
///
/// # Memory Complexity
///
/// - Standard VQ: O(K * D)
/// - Product VQ: O(M * K * D/M) = O(K * D)
/// - But effective codes: K^M vs K (exponential gain!)
#[derive(Debug, Clone)]
pub struct ProductQuantizer {
    /// Configuration
    config: ProductQuantizerConfig,
    /// Subspace quantizers (one per subspace)
    subspace_quantizers: Vec<VectorQuantizer>,
    /// Dimension per subspace
    subspace_dim: usize,
}

impl ProductQuantizer {
    /// Create a new product quantizer
    pub fn new(config: ProductQuantizerConfig) -> TokenizerResult<Self> {
        if !config.embed_dim.is_multiple_of(config.num_subspaces) {
            return Err(TokenizerError::InvalidConfig(format!(
                "embed_dim ({}) must be divisible by num_subspaces ({})",
                config.embed_dim, config.num_subspaces
            )));
        }

        let subspace_dim = config.embed_dim / config.num_subspaces;

        // Create a quantizer for each subspace
        let mut subspace_quantizers = Vec::with_capacity(config.num_subspaces);
        for _ in 0..config.num_subspaces {
            let subspace_config = VQConfig {
                codebook_size: config.codebook_size_per_subspace,
                embed_dim: subspace_dim,
                commitment_beta: config.commitment_beta,
                ema_decay: config.ema_decay,
                epsilon: config.epsilon,
                use_ema: config.use_ema,
            };
            subspace_quantizers.push(VectorQuantizer::new(subspace_config));
        }

        Ok(Self {
            config,
            subspace_quantizers,
            subspace_dim,
        })
    }

    /// Split a vector into subspaces
    pub fn split_into_subspaces(&self, vector: &Array1<f32>) -> TokenizerResult<Vec<Array1<f32>>> {
        if vector.len() != self.config.embed_dim {
            return Err(TokenizerError::dim_mismatch(
                self.config.embed_dim,
                vector.len(),
                "dimension validation",
            ));
        }

        let mut subspaces = Vec::with_capacity(self.config.num_subspaces);
        for i in 0..self.config.num_subspaces {
            let start = i * self.subspace_dim;
            let end = start + self.subspace_dim;
            let subspace =
                Array1::from_vec(vector.slice(scirs2_core::ndarray::s![start..end]).to_vec());
            subspaces.push(subspace);
        }

        Ok(subspaces)
    }

    /// Concatenate subspace vectors
    pub fn concatenate_subspaces(&self, subspaces: &[Array1<f32>]) -> TokenizerResult<Array1<f32>> {
        if subspaces.len() != self.config.num_subspaces {
            return Err(TokenizerError::InvalidConfig(format!(
                "Expected {} subspaces, got {}",
                self.config.num_subspaces,
                subspaces.len()
            )));
        }

        let mut result = Vec::with_capacity(self.config.embed_dim);
        for subspace in subspaces {
            let slice = subspace.as_slice().ok_or_else(|| {
                TokenizerError::InvalidConfig(
                    "Subspace array does not have contiguous layout".into(),
                )
            })?;
            result.extend_from_slice(slice);
        }

        Ok(Array1::from_vec(result))
    }

    /// Quantize a vector using product quantization
    pub fn quantize(&self, vector: &Array1<f32>) -> TokenizerResult<(Vec<usize>, Array1<f32>)> {
        let subspaces = self.split_into_subspaces(vector)?;
        let mut indices = Vec::with_capacity(self.config.num_subspaces);
        let mut quantized_subspaces = Vec::with_capacity(self.config.num_subspaces);

        for (subspace, quantizer) in subspaces.iter().zip(&self.subspace_quantizers) {
            let (idx, quantized) = quantizer.quantize(subspace)?;
            indices.push(idx);
            quantized_subspaces.push(quantized);
        }

        let quantized_vector = self.concatenate_subspaces(&quantized_subspaces)?;
        Ok((indices, quantized_vector))
    }

    /// Quantize multiple vectors
    pub fn quantize_batch(&self, vectors: &[Array1<f32>]) -> TokenizerResult<BatchQuantizeResult> {
        let mut all_indices = Vec::with_capacity(vectors.len());
        let mut all_quantized = Vec::with_capacity(vectors.len());

        for vector in vectors {
            let (indices, quantized) = self.quantize(vector)?;
            all_indices.push(indices);
            all_quantized.push(quantized);
        }

        Ok((all_indices, all_quantized))
    }

    /// Decode from subspace indices
    pub fn decode(&self, indices: &[usize]) -> TokenizerResult<Array1<f32>> {
        if indices.len() != self.config.num_subspaces {
            return Err(TokenizerError::InvalidConfig(format!(
                "Expected {} indices, got {}",
                self.config.num_subspaces,
                indices.len()
            )));
        }

        let mut subspaces = Vec::with_capacity(self.config.num_subspaces);
        for (idx, quantizer) in indices.iter().zip(&self.subspace_quantizers) {
            let entry = quantizer.get_codebook_entry(*idx)?;
            subspaces.push(entry);
        }

        self.concatenate_subspaces(&subspaces)
    }

    /// Initialize from data using k-means++ for each subspace
    pub fn initialize_from_data(&mut self, data: &[Array1<f32>]) -> TokenizerResult<()> {
        if data.is_empty() {
            return Err(TokenizerError::InvalidConfig(
                "Cannot initialize from empty data".into(),
            ));
        }

        // Split all data into subspaces
        let mut subspace_data: Vec<Vec<Array1<f32>>> =
            vec![Vec::with_capacity(data.len()); self.config.num_subspaces];

        for vector in data {
            let subspaces = self.split_into_subspaces(vector)?;
            for (i, subspace) in subspaces.into_iter().enumerate() {
                subspace_data[i].push(subspace);
            }
        }

        // Initialize each subspace quantizer
        for (quantizer, data) in self
            .subspace_quantizers
            .iter_mut()
            .zip(subspace_data.iter())
        {
            quantizer.initialize_from_data(data)?;
        }

        Ok(())
    }

    /// Update using EMA
    pub fn update_ema(
        &mut self,
        encoder_outputs: &[Array1<f32>],
        all_indices: &[Vec<usize>],
    ) -> TokenizerResult<()> {
        if encoder_outputs.len() != all_indices.len() {
            return Err(TokenizerError::InvalidConfig(
                "Mismatch between encoder_outputs and indices".into(),
            ));
        }

        // Split encoder outputs into subspaces
        let mut subspace_outputs: Vec<Vec<Array1<f32>>> =
            vec![Vec::with_capacity(encoder_outputs.len()); self.config.num_subspaces];
        let mut subspace_indices: Vec<Vec<usize>> =
            vec![Vec::with_capacity(encoder_outputs.len()); self.config.num_subspaces];

        for (output, indices) in encoder_outputs.iter().zip(all_indices.iter()) {
            if indices.len() != self.config.num_subspaces {
                return Err(TokenizerError::InvalidConfig(
                    "Invalid indices length".into(),
                ));
            }

            let subspaces = self.split_into_subspaces(output)?;
            for (i, (subspace, &idx)) in subspaces.into_iter().zip(indices.iter()).enumerate() {
                subspace_outputs[i].push(subspace);
                subspace_indices[i].push(idx);
            }
        }

        // Update each subspace quantizer
        for (quantizer, (outputs, indices)) in self
            .subspace_quantizers
            .iter_mut()
            .zip(subspace_outputs.iter().zip(subspace_indices.iter()))
        {
            quantizer.update_ema(outputs, indices)?;
        }

        Ok(())
    }

    /// Compute VQ losses
    pub fn compute_loss(
        &self,
        encoder_output: &Array1<f32>,
        quantized: &Array1<f32>,
    ) -> (f32, f32, f32) {
        // Codebook loss: ||sg[encoder_output] - quantized||^2
        let codebook_loss: f32 = encoder_output
            .iter()
            .zip(quantized.iter())
            .map(|(e, q)| (e - q).powi(2))
            .sum();

        // Commitment loss: ||encoder_output - sg[quantized]||^2
        let commitment_loss: f32 = encoder_output
            .iter()
            .zip(quantized.iter())
            .map(|(e, q)| (e - q).powi(2))
            .sum();

        let total_loss = codebook_loss + self.config.commitment_beta * commitment_loss;

        (total_loss, codebook_loss, commitment_loss)
    }

    /// Get effective codebook size (K^M)
    pub fn effective_codebook_size(&self) -> usize {
        self.config
            .codebook_size_per_subspace
            .pow(self.config.num_subspaces as u32)
    }

    /// Get total number of parameters
    pub fn num_parameters(&self) -> usize {
        self.config.num_subspaces * self.config.codebook_size_per_subspace * self.subspace_dim
    }

    /// Get embedding dimension
    pub fn embed_dim(&self) -> usize {
        self.config.embed_dim
    }

    /// Get number of subspaces
    pub fn num_subspaces(&self) -> usize {
        self.config.num_subspaces
    }

    /// Get codebook size per subspace
    pub fn codebook_size_per_subspace(&self) -> usize {
        self.config.codebook_size_per_subspace
    }

    /// Reset dead codes in all subspaces
    pub fn reset_unused_codes(
        &mut self,
        encoder_outputs: &[Array1<f32>],
        threshold: usize,
    ) -> TokenizerResult<usize> {
        if encoder_outputs.is_empty() {
            return Ok(0);
        }

        // Split encoder outputs into subspaces
        let mut subspace_outputs: Vec<Vec<Array1<f32>>> =
            vec![Vec::with_capacity(encoder_outputs.len()); self.config.num_subspaces];

        for output in encoder_outputs {
            let subspaces = self.split_into_subspaces(output)?;
            for (i, subspace) in subspaces.into_iter().enumerate() {
                subspace_outputs[i].push(subspace);
            }
        }

        // Reset unused codes in each subspace quantizer
        let mut total_reset = 0;
        for (quantizer, outputs) in self
            .subspace_quantizers
            .iter_mut()
            .zip(subspace_outputs.iter())
        {
            total_reset += quantizer.reset_unused_codes(outputs, threshold);
        }

        Ok(total_reset)
    }

    /// Get usage statistics for all subspaces
    pub fn usage_stats(&self) -> Vec<(usize, usize, f32)> {
        self.subspace_quantizers
            .iter()
            .map(|q| q.usage_stats())
            .collect()
    }
}

#[cfg(test)]
mod tests {
    use super::*;
    use scirs2_core::ndarray::Array1;

    #[test]
    fn test_product_quantizer_creation() {
        let config = ProductQuantizerConfig {
            num_subspaces: 4,
            codebook_size_per_subspace: 16,
            embed_dim: 64,
            ..Default::default()
        };

        let pq = ProductQuantizer::new(config.clone()).unwrap();

        assert_eq!(pq.embed_dim(), 64);
        assert_eq!(pq.num_subspaces(), 4);
        assert_eq!(pq.codebook_size_per_subspace(), 16);
        assert_eq!(pq.effective_codebook_size(), 16_usize.pow(4)); // 65536
    }

    #[test]
    fn test_product_quantizer_invalid_config() {
        // embed_dim not divisible by num_subspaces
        let config = ProductQuantizerConfig {
            num_subspaces: 3,
            codebook_size_per_subspace: 16,
            embed_dim: 64, // 64 % 3 != 0
            ..Default::default()
        };

        assert!(ProductQuantizer::new(config).is_err());
    }

    #[test]
    fn test_product_quantize_decode() {
        let config = ProductQuantizerConfig {
            num_subspaces: 4,
            codebook_size_per_subspace: 8,
            embed_dim: 64,
            ..Default::default()
        };

        let pq = ProductQuantizer::new(config).unwrap();
        let vector = Array1::from_vec((0..64).map(|i| (i as f32) * 0.01).collect());

        let (indices, quantized) = pq.quantize(&vector).unwrap();

        assert_eq!(indices.len(), 4);
        assert_eq!(quantized.len(), 64);

        // All indices should be valid
        for &idx in &indices {
            assert!(idx < 8);
        }

        // Decode should reconstruct the quantized vector
        let decoded = pq.decode(&indices).unwrap();
        assert_eq!(decoded.len(), 64);

        // Quantized and decoded should be identical
        for (q, d) in quantized.iter().zip(decoded.iter()) {
            assert!((q - d).abs() < 1e-6);
        }
    }

    #[test]
    fn test_product_quantizer_batch() {
        let config = ProductQuantizerConfig {
            num_subspaces: 2,
            codebook_size_per_subspace: 16,
            embed_dim: 32,
            ..Default::default()
        };

        let pq = ProductQuantizer::new(config).unwrap();

        let vectors = vec![
            Array1::from_vec((0..32).map(|i| i as f32 * 0.1).collect()),
            Array1::from_vec((0..32).map(|i| i as f32 * 0.2).collect()),
            Array1::from_vec((0..32).map(|i| i as f32 * 0.3).collect()),
        ];

        let (all_indices, all_quantized) = pq.quantize_batch(&vectors).unwrap();

        assert_eq!(all_indices.len(), 3);
        assert_eq!(all_quantized.len(), 3);

        for (i, (indices, quantized)) in all_indices.iter().zip(all_quantized.iter()).enumerate() {
            assert_eq!(indices.len(), 2);
            assert_eq!(quantized.len(), 32);

            // Verify decode
            let decoded = pq.decode(indices).unwrap();
            for (q, d) in quantized.iter().zip(decoded.iter()) {
                assert!((q - d).abs() < 1e-6, "Batch {}: quantized != decoded", i);
            }
        }
    }

    #[test]
    fn test_product_quantizer_split_concat() {
        let config = ProductQuantizerConfig {
            num_subspaces: 4,
            codebook_size_per_subspace: 8,
            embed_dim: 64,
            ..Default::default()
        };

        let pq = ProductQuantizer::new(config).unwrap();
        let vector = Array1::from_vec((0..64).map(|i| i as f32).collect());

        let subspaces = pq.split_into_subspaces(&vector).unwrap();

        assert_eq!(subspaces.len(), 4);
        for subspace in &subspaces {
            assert_eq!(subspace.len(), 16); // 64 / 4
        }

        // Concatenate back
        let reconstructed = pq.concatenate_subspaces(&subspaces).unwrap();
        assert_eq!(reconstructed.len(), 64);

        for (orig, recon) in vector.iter().zip(reconstructed.iter()) {
            assert_eq!(orig, recon);
        }
    }

    #[test]
    fn test_product_quantizer_ema_update() {
        let config = ProductQuantizerConfig {
            num_subspaces: 2,
            codebook_size_per_subspace: 8,
            embed_dim: 16,
            use_ema: true,
            ..Default::default()
        };

        let mut pq = ProductQuantizer::new(config).unwrap();

        let outputs = vec![
            Array1::from_vec((0..16).map(|i| i as f32 * 0.1).collect()),
            Array1::from_vec((0..16).map(|i| i as f32 * 0.2).collect()),
            Array1::from_vec((0..16).map(|i| i as f32 * 0.3).collect()),
        ];

        let (all_indices, _) = pq.quantize_batch(&outputs).unwrap();

        // Update should succeed
        pq.update_ema(&outputs, &all_indices).unwrap();

        // Check usage stats for each subspace
        let stats = pq.usage_stats();
        assert_eq!(stats.len(), 2); // 2 subspaces

        for (total, used, _util) in stats {
            assert_eq!(total, 3); // 3 vectors processed
            assert!(used > 0); // At least some codes used
            assert!(used <= 8); // At most all codes used
        }
    }

    #[test]
    fn test_product_quantizer_initialization() {
        let config = ProductQuantizerConfig {
            num_subspaces: 2,
            codebook_size_per_subspace: 4,
            embed_dim: 16,
            ..Default::default()
        };

        let mut pq = ProductQuantizer::new(config).unwrap();

        // Generate some sample data
        let data: Vec<Array1<f32>> = (0..20)
            .map(|i| Array1::from_vec((0..16).map(|j| ((i + j) as f32 * 0.1).sin()).collect()))
            .collect();

        // Initialize from data (k-means++)
        pq.initialize_from_data(&data).unwrap();

        // After initialization, quantization should work
        let (indices, _) = pq.quantize(&data[0]).unwrap();
        assert_eq!(indices.len(), 2);
    }

    #[test]
    fn test_product_quantizer_compute_loss() {
        let config = ProductQuantizerConfig {
            num_subspaces: 4,
            codebook_size_per_subspace: 8,
            embed_dim: 64,
            commitment_beta: 0.25,
            ..Default::default()
        };

        let pq = ProductQuantizer::new(config).unwrap();

        let encoder_output = Array1::from_vec((0..64).map(|i| i as f32 * 0.01).collect());
        let (_, quantized) = pq.quantize(&encoder_output).unwrap();

        let (total_loss, codebook_loss, commitment_loss) =
            pq.compute_loss(&encoder_output, &quantized);

        assert!(total_loss >= 0.0);
        assert!(codebook_loss >= 0.0);
        assert!(commitment_loss >= 0.0);

        // Total loss = codebook_loss + beta * commitment_loss
        let expected_total = codebook_loss + 0.25 * commitment_loss;
        assert!((total_loss - expected_total).abs() < 1e-6);
    }

    #[test]
    fn test_product_quantizer_effective_size() {
        let config = ProductQuantizerConfig {
            num_subspaces: 4,
            codebook_size_per_subspace: 256,
            embed_dim: 64,
            ..Default::default()
        };

        let pq = ProductQuantizer::new(config.clone()).unwrap();

        // Effective codebook size = 256^4
        assert_eq!(pq.effective_codebook_size(), 256_usize.pow(4));

        // Number of parameters = M * K * (D/M) = M * K * D/M = K * D
        let expected_params = config.num_subspaces
            * config.codebook_size_per_subspace
            * (config.embed_dim / config.num_subspaces);
        assert_eq!(pq.num_parameters(), expected_params);
    }

    #[test]
    fn test_product_quantizer_reset_unused_codes() {
        let config = ProductQuantizerConfig {
            num_subspaces: 2,
            codebook_size_per_subspace: 8,
            embed_dim: 16,
            ..Default::default()
        };

        let mut pq = ProductQuantizer::new(config).unwrap();

        // Generate some encoder outputs
        let outputs: Vec<Array1<f32>> = (0..5)
            .map(|i| Array1::from_vec((0..16).map(|j| (i + j) as f32 * 0.1).collect()))
            .collect();

        // Quantize to mark some codes as used
        let (all_indices, _) = pq.quantize_batch(&outputs).unwrap();

        // Update EMA to track usage
        pq.update_ema(&outputs, &all_indices).unwrap();

        // Reset codes that have been used less than 2 times
        let reset_count = pq.reset_unused_codes(&outputs, 2).unwrap();

        // Function should succeed and return a valid count
        assert!(reset_count <= pq.num_subspaces() * pq.codebook_size_per_subspace());
    }

    #[test]
    fn test_product_quantizer_memory_efficiency() {
        // Compare memory usage of PQ vs standard VQ

        // Standard VQ: 1M codes, 128-dim
        let standard_params = 1_000_000 * 128;

        // Product VQ: 4 subspaces, 100 codes each, 128-dim
        // Effective codes: 100^4 = 100M (100x more codes!)
        // Parameters: 4 * 100 * 32 = 12,800
        let pq_config = ProductQuantizerConfig {
            num_subspaces: 4,
            codebook_size_per_subspace: 100,
            embed_dim: 128,
            ..Default::default()
        };

        let pq = ProductQuantizer::new(pq_config).unwrap();

        assert_eq!(pq.num_parameters(), 4 * 100 * 32);
        assert_eq!(pq.effective_codebook_size(), 100_usize.pow(4));

        // PQ uses ~10,000x fewer parameters for ~100x more codes
        let compression_ratio = standard_params as f32 / pq.num_parameters() as f32;
        assert!(compression_ratio > 9000.0);
    }
}