Summary:
This PR adds two related changes for the SCANN coarse quantizer / PQ encoding path on ARM SVE: a low-dimensional nearest-neighbor fast path and spherical SuperKMeans support.
### 1. Low-dimensional L2sqr nearest fast path (d in {2,4,8})
`fvec_L2sqr_ny_nearest<ARM_SVE>` previously wrote all `ny` distances to the scratch buffer and then performed a separate linear scan. For PQ encoding (`compute_1_code`) each call has `d = dsub` and `ny = ksub`, making this the hot path. The new path maps one centroid to each SVE lane, gathers its `D` components, and keeps lane-local minimum distances and ids across batches. A predicated tail handles non-multiple `ny` values, equal distances preserve the first index, and only one final horizontal reduction is needed. The scratch buffer is not written, matching the x86 AVX2/AVX512 `D2/D4/D8` implementations.
`ProductQuantizer::compute_code` already uses the A1 dispatch on current `main`, so the ARM_SVE specialization remains reachable from PQ encoding after this rebase.
### 2. SuperKMeans spherical (inner-product) support
SuperKMeans previously only supported L2 clustering; the header explicitly excluded IP/cosine. With `cp.spherical=true`:
- `TrainState::R` becomes `std::unique_ptr<VectorTransform>`; power-of-two `d` uses the fast `HadamardRotation`, L2 keeps `RandomRotationMatrix`.
- Forgy initialization produces unit centroids before the first assignment. Each iteration computes and splits centroids first, then applies spherical centroid post-processing once, matching the `Clustering` flow.
- `HadamardRotation::reverse_transform` fills the missing inverse.
- `ClusteringParameters::use_super_kmeans` (default false) lets `Level1Quantizer::train_q1` route coarse quantizer training through SuperKMeans when explicitly enabled; the Python type stubs expose the new option.
- `block_l2<ARM_SVE>` completes the SuperKMeans SIMD kernels for the ADSampling pruning loop.
## Tests
- Low-dim nearest across SIMD levels: `d` in `{2,4,8}` and `ny` around common SIMD widths through 257, including non-multiple tails and first-index tie behavior. The dispatch test source is included in DD builds.
- Spherical objective close to vanilla spherical Clustering; unit-norm centroids.
- `use_super_kmeans` field inherited from `ClusteringParameters`.
## Benchmark
qwen 4096-dim, IP, nlist=1024, sub_dim=4, 1 thread, 50k rows:
| stage | baseline | optimized | change |
| --- | ---: | ---: | --- |
| Train | 67.73s | 24.36s | -64% |
| Add | 10.86s | 7.17s | -34% |
| Build | 78.59s | 31.52s | -60% |
Train speedup comes from SuperKMeans spherical coarse quantizer training; Add speedup comes from the low-dim SVE nearest fast path in PQ encoding. recall@10 unchanged vs Clustering baseline (diff <= 0.0002).
## Notes
This change targets ARM SVE. The x86 (AVX2/AVX512) implementations already have equivalent low-dim nearest specializations. The generic ARM SVE distance path comes from current `main`; this PR adds the low-dimensional nearest specializations on top of it.
Pull Request resolved: https://github.com/facebookresearch/faiss/pull/5530
Reviewed By: mnorris11
Differential Revision: D117563661
Pulled By: alibeklfc
fbshipit-source-id: 47ab1064d781a45d009923b4d5e62525718e83bf
Faiss
Faiss is a library for efficient similarity search and clustering of dense vectors. It contains algorithms that search in sets of vectors of any size, up to ones that possibly do not fit in RAM. It also contains supporting code for evaluation and parameter tuning. Faiss is written in C++ with complete wrappers for Python/numpy. Some of the most useful algorithms are implemented on the GPU. It is developed primarily at Meta's Fundamental AI Research group.
News
See CHANGELOG.md for detailed information about latest features.
Introduction
Faiss contains several methods for similarity search. It assumes that the instances are represented as vectors and are identified by an integer, and that the vectors can be compared with L2 (Euclidean) distances or dot products. Vectors that are similar to a query vector are those that have the lowest L2 distance or the highest dot product with the query vector. It also supports cosine similarity, since this is a dot product on normalized vectors.
Some of the methods, like those based on binary vectors and compact quantization codes, solely use a compressed representation of the vectors and do not require to keep the original vectors. This generally comes at the cost of a less precise search but these methods can scale to billions of vectors in main memory on a single server. Other methods, like HNSW and NSG add an indexing structure on top of the raw vectors to make searching more efficient.
The GPU implementation can accept input from either CPU or GPU memory. On a server with GPUs, the GPU indexes can be used a drop-in replacement for the CPU indexes (e.g., replace IndexFlatL2 with GpuIndexFlatL2) and copies to/from GPU memory are handled automatically. Results will be faster however if both input and output remain resident on the GPU. Both single and multi-GPU usage is supported.
Installing
Faiss comes with precompiled libraries for Anaconda in Python, see faiss-cpu, faiss-gpu and faiss-gpu-cuvs. The library is mostly implemented in C++, the only dependency is a BLAS implementation. Optional GPU support is provided via CUDA or AMD ROCm, and the Python interface is also optional. The backend GPU implementations of NVIDIA cuVS can also be enabled optionally. It compiles with cmake. See INSTALL.md for details.
How Faiss works
Faiss is built around an index type that stores a set of vectors, and provides a function to search in them with L2 and/or dot product vector comparison. Some index types are simple baselines, such as exact search. Most of the available indexing structures correspond to various trade-offs with respect to
- search time
- search quality
- memory used per index vector
- training time
- adding time
- need for external data for unsupervised training
The optional GPU implementation provides what is likely (as of March 2017) the fastest exact and approximate (compressed-domain) nearest neighbor search implementation for high-dimensional vectors, fastest Lloyd's k-means, and fastest small k-selection algorithm known. The implementation is detailed here.
Full documentation of Faiss
The following are entry points for documentation:
- the full documentation can be found on the wiki page, including a tutorial, a FAQ and a troubleshooting section
- the doxygen documentation gives per-class information extracted from code comments
- to reproduce results from our research papers, Polysemous codes and Billion-scale similarity search with GPUs, refer to the benchmarks README. For Link and code: Fast indexing with graphs and compact regression codes, see the link_and_code README
Authors
The main authors of Faiss are:
- Hervé Jégou initiated the Faiss project and wrote its first implementation
- Matthijs Douze implemented most of the CPU Faiss
- Jeff Johnson implemented all of the GPU Faiss
- Lucas Hosseini implemented the binary indexes and the build system
- Chengqi Deng implemented NSG, NNdescent and much of the additive quantization code.
- Alexandr Guzhva many optimizations: SIMD, memory allocation and layout, fast decoding kernels for vector codecs, etc.
- Gergely Szilvasy build system, benchmarking framework.
Reference
References to cite when you use Faiss in a research paper:
@article{douze2024faiss,
title={The Faiss library},
author={Matthijs Douze and Alexandr Guzhva and Chengqi Deng and Jeff Johnson and Gergely Szilvasy and Pierre-Emmanuel Mazaré and Maria Lomeli and Lucas Hosseini and Hervé Jégou},
year={2024},
eprint={2401.08281},
archivePrefix={arXiv},
primaryClass={cs.LG}
}
For the GPU version of Faiss, please cite:
@article{johnson2019billion,
title={Billion-scale similarity search with {GPUs}},
author={Johnson, Jeff and Douze, Matthijs and J{\'e}gou, Herv{\'e}},
journal={IEEE Transactions on Big Data},
volume={7},
number={3},
pages={535--547},
year={2019},
publisher={IEEE}
}
Join the Faiss community
For public discussion of Faiss or for questions, visit https://github.com/facebookresearch/faiss/discussions.
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Legal
Faiss is MIT-licensed, refer to the LICENSE file in the top level directory.
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