Fast exact KNN search with Vantage Point Trees — L2, L1, Chebyshev and Hamming, SIMD-accelerated
Project description
PyNear
Fast KNN that doesn't make you choose between exact answers and production speed. Drop-in for scikit-learn. SIMD-accelerated. Binary Multi-Index Hashing that beats Faiss's own MIH at matched recall — and finds 512-bit near-duplicates ~40× faster than Faiss's brute-force scan at 100% recall.
import numpy as np, pynear
db = np.random.rand(1_000_000, 128).astype(np.float32)
queries = np.random.rand(10, 128).astype(np.float32)
index = pynear.VPTreeL2Index()
index.set(db)
indices, distances = index.searchKNN(queries, k=5)
pip install pynear # pre-built wheels, no compiler needed
A metric-space KNN library with a C++ core. VP-Trees for exact search up to ~256-D, IVF-Flat for fast approximate float search at 512–1024-D, MIH and IVF-Binary for Hamming search on image descriptors. Already on scikit-learn? Switch with a one-line import change.
Table of Contents
- Installation
- Quick start
- Migrating from scikit-learn
- Features
- Demos
- Benchmarks
- Real-World Benchmark — SIFT1M Binary
- Development
Why PyNear?
| PyNear | Faiss | Annoy | scikit-learn | |
|---|---|---|---|---|
| Metric agnostic | ✅ L2, L1, L∞, cosine, Hamming | L2 / IP / cosine | L2 / cosine / Hamming | L2 / others |
| Binary / Hamming approx | ✅ MIH + IVF, faster than Faiss MIH | ✅ MIH + IVF | ❌ | ❌ |
| scikit-learn drop-in | ✅ adapter classes | ❌ | ❌ | — |
| Zero native deps | ✅ NumPy only | ❌ compiled lib + optional GPU | ❌ | ❌ |
PyNear covers the full spectrum: VPTree indices for guaranteed exact answers (2-D to ~256-D), IVFFlatL2Index / IVFFlatCosineIndex for fast approximate float search at 512–1024-D (text embeddings, RAG), and MIHBinaryIndex / IVFFlatBinaryIndex for approximate Hamming search on binary descriptors.
New to KNN? See docs/intro.md for a gentle, jargon-free introduction.
What people build with PyNear
| Image / video dedup | Drop-in for sklearn | Interactive visualisation |
Encode with perceptual hash / ORB / SimHash, index with MIHBinaryIndex, find 512-bit near-duplicates at 100% recall ~40× faster than Faiss's brute-force scan. |
Swap sklearn.neighbors.KNeighborsClassifier for PyNearKNeighborsClassifier. Same API, same results, faster. |
Two desktop demos: a 1M-point KNN explorer and a live Voronoi diagram you can drag seeds in. |
→ demo_binary.py |
→ Migration guide | → demo/ |
Installation
pip install pynear
Requires Python 3.8+ and NumPy ≥ 1.21.2. Pre-built wheels are available for Linux, macOS (x86-64 and Apple Silicon), and Windows — no compiler needed.
Quick start
import numpy as np
import pynear
# Build index from 100 000 vectors of dimension 32
data = np.random.rand(100_000, 32).astype(np.float32)
index = pynear.VPTreeL2Index()
index.set(data)
# KNN search — returns (indices, distances) per query, sorted nearest-first
queries = np.random.rand(10, 32).astype(np.float32)
indices, distances = index.searchKNN(queries, k=5)
# 1-NN shortcut (slightly faster than searchKNN with k=1)
nn_indices, nn_distances = index.search1NN(queries)
For all index types and advanced usage see docs/README.md.
Approximate binary search (image descriptors)
For large-scale image retrieval with binary descriptors (ORB, BRIEF, AKAZE), PyNear provides two approximate Hamming-distance indices that are orders of magnitude faster than exact brute-force:
import numpy as np
import pynear
# 1M × 512-bit descriptors (64 bytes each)
db = np.random.randint(0, 256, size=(1_000_000, 64), dtype=np.uint8)
# ── Multi-Index Hashing ───────────────────────────────────────────────────────
# Best for wide descriptors (d=512 → m=8 sub-tables of 64 bits).
# ~40× faster than Faiss's brute-force scan at N=1M; 100% Recall@10 for near-duplicates.
mih = pynear.MIHBinaryIndex(m=8) # m=4 for d=128/256, m=8 for d=512
mih.set(db)
queries = np.random.randint(0, 256, size=(100, 64), dtype=np.uint8)
indices, distances = mih.searchKNN(queries, k=10, radius=8)
# radius: any true neighbour within Hamming distance ≤ radius is guaranteed
# to be found (pigeonhole principle). Increase for higher recall on noisier data.
# ── IVF Flat Binary ───────────────────────────────────────────────────────────
# Predictable cost: scans nprobe clusters per query.
# Good when the query radius is unknown or data is non-uniform.
ivf = pynear.IVFFlatBinaryIndex(nlist=512, nprobe=16)
ivf.set(db)
indices, distances = ivf.searchKNN(queries, k=10)
ivf.set_nprobe(32) # increase nprobe at runtime to trade speed for recall
Choosing between MIH and IVFFlat:
MIHBinaryIndex |
IVFFlatBinaryIndex |
|
|---|---|---|
| Best for | Near-duplicate retrieval (small Hamming radius) | General approximate Hamming KNN |
| d=512, N=1M query time (near-duplicate) | 0.008 ms | 1.82 ms |
| Recall guarantee | Exact for distance ≤ radius (pigeonhole) | Probabilistic (depends on nprobe) |
| Recall control | radius parameter |
nprobe parameter |
Recommended m |
d/8 bytes (e.g. m=8 for 512-bit) | — |
Migrating from scikit-learn
PyNear provides adapter classes that implement the same interface as
sklearn.neighbors.NearestNeighbors, KNeighborsClassifier, and
KNeighborsRegressor. Changing the import is all that is required in most
cases:
# Before
from sklearn.neighbors import KNeighborsClassifier
clf = KNeighborsClassifier(n_neighbors=5, metric='euclidean')
# After — identical API, backed by a VP-Tree
from pynear.sklearn_adapter import PyNearKNeighborsClassifier
clf = PyNearKNeighborsClassifier(n_neighbors=5, metric='euclidean')
All three adapters follow the standard scikit-learn workflow:
from pynear.sklearn_adapter import (
PyNearNearestNeighbors,
PyNearKNeighborsClassifier,
PyNearKNeighborsRegressor,
)
# Unsupervised neighbour lookup
nn = PyNearNearestNeighbors(n_neighbors=5, metric='euclidean')
nn.fit(X_train)
distances, indices = nn.kneighbors(X_query)
# Classification
clf = PyNearKNeighborsClassifier(n_neighbors=5, weights='distance')
clf.fit(X_train, y_train)
clf.predict(X_test) # class labels
clf.predict_proba(X_test) # per-class probabilities
clf.score(X_test, y_test) # accuracy
# Regression
reg = PyNearKNeighborsRegressor(n_neighbors=5, weights='uniform')
reg.fit(X_train, y_train)
reg.predict(X_test) # predicted values
reg.score(X_test, y_test) # R²
Supported metrics: euclidean / l2, manhattan / l1, chebyshev / linf, cosine, hamming
Supported weights: uniform, distance (inverse-distance-weighted)
Note: Input arrays are cast to
float32(oruint8for Hamming) before indexing. scikit-learn usesfloat64internally, so very small numerical differences may appear at the precision boundary, but nearest-neighbour results are identical for all practical datasets.
Features
Available indices
Exact indices — always return the true k nearest neighbours:
| Index | Distance | Data type | Notes |
|---|---|---|---|
VPTreeL2Index |
L2 (Euclidean) | float32 |
SIMD-accelerated |
VPTreeL1Index |
L1 (Manhattan) | float32 |
SIMD-accelerated |
VPTreeChebyshevIndex |
L∞ (Chebyshev) | float32 |
SIMD-accelerated |
VPTreeCosineIndex |
Cosine | float32 |
L2-normalised internally; SIMD-accelerated |
VPTreeBinaryIndex |
Hamming | uint8 |
Hardware popcount |
BKTreeBinaryIndex |
Hamming | uint8 |
Threshold / range search |
Approximate indices — trade a small recall budget for large speed gains; tunable via n_probe / radius:
| Index | Distance | Data type | Notes |
|---|---|---|---|
IVFFlatL2Index |
L2 (Euclidean) | float32 |
BLAS SGEMV inner scan; best for 512-D – 1024-D |
IVFFlatCosineIndex |
Cosine | float32 |
Spherical K-Means + BLAS SGEMV; ideal for text embeddings |
IVFFlatBinaryIndex |
Hamming | uint8 |
Binary K-Means IVF; faster build than Faiss binary IVF |
MIHBinaryIndex |
Hamming | uint8 |
Multi-Index Hashing; ~40× faster than Faiss brute-force on 512-bit near-duplicates, and faster than Faiss's own MIH |
All VPTree and IVFFlat indices support searchKNN(queries, k).
BKTreeBinaryIndex supports find_threshold(queries, threshold) for range queries.
Set n_probe = n_clusters on IVFFlatL2Index to make it exact.
See docs/approximate.md for a full guide on measuring
recall and tuning n_probe for your dataset.
Why approximate search? The curse of dimensionality
Tree pruning loses traction as dimensionality grows: in high-$n$ spaces, nearly all points concentrate in a thin shell near the boundary and distances between any two points become almost equal, leaving the tree nothing to prune. That's why exact tree search offers diminishing returns beyond $d \approx 256$ and why approximate methods (IVF-style probing) take over.
Full derivation, with volume integrals and a numerical illustration →
Pickle serialisation
All VPTree and IVFFlat indices are pickle-serialisable — save a built index to disk and reload it without rebuilding:
import pickle, numpy as np, pynear
data = np.random.rand(20_000, 32).astype(np.float32)
index = pynear.VPTreeL2Index()
index.set(data)
blob = pickle.dumps(index)
index2 = pickle.loads(blob)
Tree inspection
print(index.to_string())
####################
# [VPTree state]
Num Data Points: 100
Total Memory: 8000 bytes
####################
[+] Root Level:
Depth: 0
Height: 14
Num Sub Nodes: 100
...
Note:
to_string()traverses the whole tree — use it for debugging only.
Demos
Two interactive desktop demos ship in demo/ and run with a single command:
pip install PySide6
python demo/point_cloud.py # KNN Explorer — hover over 1M points to find neighbours
python demo/voronoi.py # Voronoi diagram — drag seed points, watch cells reshape live
- KNN Explorer — scatter up to 1 million 2-D points and hover to see k nearest neighbours highlighted in real time. Supports zoom, pan, and configurable point size.
- Voronoi Diagram — every canvas pixel is coloured by its nearest seed point. Add, drag, and remove seeds; the diagram redraws live using pynear's batch 1-NN.
See docs/demos.md for full details.
Benchmarks
Recall vs throughput for approximate Hamming search on 1M × 128-bit SIFT descriptors (the ~0.84 ceiling is a Hamming-tie artifact, not missed neighbours). For the apples-to-apples comparison against Faiss's brute-force
IndexBinaryFlatand Faiss's ownIndexBinaryMultiHash— including the 512-bit workload where MIH is ~40× faster than brute-force — see results/faiss_comparison.md.
Full benchmark report (PDF) — formal evaluation against Faiss, scikit-learn, and Annoy across L2 / L1 / Hamming, dimensionalities from 2-D to 1024-D, both exact and approximate modes, including the recall–latency Pareto analysis. (The binary-descriptor numbers are superseded by the reproducible, thread-matched results/faiss_comparison.md.)
Quick standalone run:
python bench_run.py
Real-World Benchmark — SIFT1M Binary
Performance of pynear's approximate Hamming-distance indices on the INRIA TEXMEX SIFT1M dataset: 1,000,000 × 128-dim float SIFT descriptors sign-quantised to 128-bit binary (16 bytes/descriptor). Ground truth computed by exact brute-force Hamming k-NN over 500 queries, k=10. Machine: Intel(R) Core(TM) Ultra 9 285K.
The baseline below is a naive numpy scan. For the apples-to-apples comparison
against Faiss's optimised brute-force (IndexBinaryFlat) and Faiss's own
Multi-Index Hashing, see
results/faiss_comparison.md.
| Index | Configuration | Build (s) | ms / query | QPS | Recall@10 |
|---|---|---|---|---|---|
| numpy brute-force (naive) | N=1,000,000 | — | 50.1 | 20 | 1.000 |
| IVFFlatBinaryIndex | nlist=500, nprobe=31 | 6.24 | 1.47 | 679 | 0.825 |
| IVFFlatBinaryIndex | nlist=500, nprobe=62 | 6.24 | 2.85 | 351 | 0.842 |
| IVFFlatBinaryIndex | nlist=500, nprobe=125 | 6.24 | 5.65 | 177 | 0.845 |
| IVFFlatBinaryIndex | nlist=500, nprobe=250 | 6.24 | 10.74 | 93 | 0.845 |
| IVFFlatBinaryIndex | nlist=500, nprobe=500 | 6.24 | 20.95 | 48 | 0.845 |
| MIHBinaryIndex | m=8, radius=4 | 2.81 | 0.09 | 10825 | 0.585 |
| MIHBinaryIndex | m=8, radius=8 | 2.81 | 0.97 | 1031 | 0.829 |
| MIHBinaryIndex | m=8, radius=12 | 2.81 | 0.95 | 1053 | 0.829 |
| MIHBinaryIndex | m=8, radius=16 | 2.81 | 4.73 | 211 | 0.842 |
| MIHBinaryIndex | m=8, radius=24 | 2.81 | 12.37 | 81 | 0.844 |
| MIHBinaryIndex | m=8, radius=32 | 2.81 | 19.79 | 51 | 0.843 |
| MIHBinaryIndex | m=8, radius=48 | 2.81 | 36.34 | 28 | 0.843 |
Recall@10 is the standard
|returned ∩ true| / k, measured against a fixed exact-Hamming ground truth. Because Hamming distances are integers, the 10-th-nearest boundary is often tied, so even an exact scan can score below 1.0 against this reference — the value reflects tie-breaking, not missed neighbours.
Key takeaways:
IVFFlatBinaryIndex(nprobe=125) reaches Recall@10=0.845 at 177 QPS (9× faster than the naive numpy scan).MIHBinaryIndex(radius=4) is the lowest-latency single configuration at 10825 QPS (Recall@10=0.585).- MIH's real advantage shows on wide descriptors (256–512-bit) and small-radius / near-duplicate retrieval. On narrow 128-bit data at high recall, an optimised brute-force scan can outperform it — pick the index to the workload.
Reproduce:
python demo_binary.py· add--smallfor a 10 K quick test ·--n-gt-queries Nto adjust evaluation size.
Development
Building and installing locally
pip install .
Running tests
make test
Debugging C++ code on Unix
CMake build files are provided for building and running C++ tests independently:
make cpp-test
Tests are built in Debug mode by default, so you can debug with GDB:
gdb ./build/tests/vptree-tests
Debugging C++ code on Windows
Install CMake (py -m pip install cmake) and pybind11 (py -m pip install pybind11), then:
mkdir build
cd build
cmake ..\pynear
You may need to pass extra arguments, for example:
cmake ..\pynear -G "Visual Studio 17 2022" -A x64 ^
-DPYTHON_EXECUTABLE="C:\Program Files\Python312\python.exe" ^
-Dpybind11_DIR="C:\Program Files\Python312\Lib\site-packages\pybind11\share\cmake\pybind11"
Build and run vptree-tests.exe from the generated solution.
Formatting code
make fmt
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