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
//! Vector quantization: compress vectors while preserving distance.
//!
//! # Which Method Should I Use?
//!
//! | Situation | Method | Compression | Feature |
//! |-----------|--------|-------------|---------|
//! | **Best accuracy** | RaBitQ 4-bit | 8x | `rabitq` |
//! | **Best compression** | Ternary | 20x | `saq` |
//! | **No training data** | Binary (sign) | 32x | `saq` |
//! | **Multi-dimensional** | Product Quantization | 32x | See `ivf_pq` |
//!
//! # Feature Flags
//!
//! ```toml
//! vicinity = { version = "0.3", features = ["rabitq"] } # RaBitQ
//! vicinity = { version = "0.3", features = ["saq"] } # Ternary/Binary
//! ```
//!
//! # The Problem: Memory at Scale
//!
//! ```text
//! 1B vectors × 768 dims × 4 bytes = 3 TB
//! ```
//!
//! Quantization compresses vectors while preserving distance accuracy:
//!
//! | Method | Bits/dim | Compression | Recall@10 |
//! |--------|----------|-------------|-----------|
//! | float32 | 32 | 1x | 100% |
//! | **RaBitQ 4-bit** | 4 | 8x | 95%+ |
//! | **Ternary** | 1.58 | 20x | 85%+ |
//! | Binary | 1 | 32x | 75%+ |
//!
//! ## Scalar vs Vector Quantization
//!
//! **Scalar quantization** (this module): Quantize each dimension independently.
//! Simple but loses correlations between dimensions.
//!
//! **Vector quantization** (see `ivf_pq`): Learn codebooks that capture
//! multi-dimensional structure. Better accuracy, more complex.
//!
//! ## RaBitQ: The Modern Approach
//!
//! [Gao et al. 2024](https://arxiv.org/abs/2409.09913) introduces randomized
//! binary quantization with corrective factors.
//!
//! **Key insight**: Random rotation before quantization spreads information
//! evenly across dimensions. Then:
//!
//! 1. **Sign bit**: Direction of each rotated dimension
//! 2. **Extended bits**: Magnitude refinement (optional)
//! 3. **Corrective factors**: Learned f_add, f_scale for distance estimation
//!
//! ```text
//! Original: [0.2, -0.7, 0.1, 0.9]
//! ↓ random rotation
//! Rotated: [0.5, 0.3, -0.6, 0.4]
//! ↓ quantize
//! Codes: [+, +, -, +] (1-bit: signs only)
//! or [+2, +1, -2, +1] (4-bit: with magnitude)
//! ```
//!
//! **Why random rotation?** It makes the quantization error independent
//! across dimensions, which allows accurate distance estimation via
//! expectation formulas.
//!
//! ## Ternary Quantization
//!
//! Ultra-aggressive: map each dimension to {-1, 0, +1}.
//!
//! - **1.58 bits/dim** (log₂(3))
//! - **Hamming-like distance** with popcount operations
//! - Best for high-dimensional embeddings where redundancy is high
//!
//! ## Distance Computation
//!
//! The magic of good quantization: distance in quantized space approximates
//! distance in original space.
//!
//! **Asymmetric**: Query is exact, database is quantized
//! ```text
//! d(q, x) ≈ d(q, Q(x)) + correction
//! ```
//!
//! **Symmetric**: Both quantized (faster but less accurate)
//! ```text
//! d(q, x) ≈ d(Q(q), Q(x))
//! ```
//!
//! ## Usage
//!
//! Requires `features = ["rabitq"]`:
//!
//! ```ignore
//! use vicinity::quantization::rabitq::{RaBitQConfig, RaBitQQuantizer};
//!
//! let config = RaBitQConfig::bits4(); // 4-bit quantization
//! let mut quantizer = RaBitQQuantizer::with_config(768, 42, config)?;
//!
//! // Train on sample vectors
//! quantizer.fit(&sample_vectors)?;
//!
//! // Quantize database
//! let codes: Vec<_> = vectors.iter()
//! .map(|v| quantizer.quantize(v))
//! .collect();
//!
//! // Distance estimation
//! let dist = quantizer.approximate_distance(&query, &codes[0])?;
//! ```
//!
//! ## References
//!
//! - Gao et al. (2024). "RaBitQ: Quantizing High-Dimensional Vectors with
//! Randomized Binary Quantization."
//! - See also: Product Quantization (`ivf_pq`), ScaNN (`scann`).
pub use rabitq;
pub use ternary;
// Re-exports for convenience
pub use ;