Improved Residual Vector Quantization for High-dimensional Approximate Nearest Neighbor Search
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Abstract (arXiv)
Quantization methods have been introduced to perform large scale approximate nearest search tasks. Residual Vector Quantization (RVQ) is one of the effective quantization methods. RVQ uses a multi-stage codebook learning scheme to lower the quantization error stage by stage. However, there are two major limitations for RVQ when applied to on high-dimensional approximate nearest neighbor search: 1. The performance gain diminishes quickly with added stages. 2. Encoding a vector with RVQ is actually NP-hard. In this paper, we propose an improved residual vector quantization (IRVQ) method, our IRVQ learns codebook with a hybrid method of subspace clustering and warm-started k-means on each stage to prevent performance gain from dropping, and uses a multi-path encoding scheme to encode a vector with lower distortion. Experimental results on the benchmark datasets show that our method gives substantially improves RVQ and delivers better performance compared to the state-of-the-art.
Key facts. Cited by 11 papers in the map (data through 14 Oct 2026). First posted on arXiv 17 Sep 2015.
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Citing papers per year: 2021: 1; 2022: 0; 2023: 0; 2024: 2; 2025: 3; 2026: 5.
11 papers.
- 2024The Faiss librarycited by 376
- 2024Large Concept Models: Language Modeling in a Sentence Representation Spacecited by 89
- 2025Qinco2: Vector Compression and Search with Improved Implicit Neural Codebookscited by 8
- 2025Discrete Tokenization for Multimodal LLMs: A Comprehensive Surveycited by 8
- 2021Nearest neighbor search with compact codes: A decoder perspectivecited by 5
- 2025TensorSLM: Energy-efficient Embedding Compression of Sub-billion Parameter Language Models on Low-end Devicescited by 0
- 2026FaTRQ: Tiered Residual Quantization for LLM Vector Search in Far-Memory-Aware ANNS Systemscited by 0
- 2026Generative Pseudo-Labeling for Pre-Ranking with LLMscited by 0
- 2026ShopX: A Foundation Model for Intent-to-Item Fulfillment in Agentic Shoppingcited by 0
- 2026HERMES: A Multi-Granularity Labeling Substrate for Pre-training Data Mixturescited by 0
- 2026GS-Codec: A Gaussian-Splatting Bottleneck for Neural Audio Codingcited by 0
- 2026GS-Codec: A Gaussian-Splatting Bottleneck for Neural Audio Coding3 Oct 2026
- 2026HERMES: A Multi-Granularity Labeling Substrate for Pre-training Data Mixtures2 Jul 2026
- 2026ShopX: A Foundation Model for Intent-to-Item Fulfillment in Agentic Shopping30 Jun 2026
- 2026Generative Pseudo-Labeling for Pre-Ranking with LLMs24 Feb 2026
- 2026FaTRQ: Tiered Residual Quantization for LLM Vector Search in Far-Memory-Aware ANNS Systems15 Jan 2026
- 2025Discrete Tokenization for Multimodal LLMs: A Comprehensive Survey21 Jul 2025
- 2025TensorSLM: Energy-efficient Embedding Compression of Sub-billion Parameter Language Models on Low-end Devices16 Jun 2025
- 2025Qinco2: Vector Compression and Search with Improved Implicit Neural Codebooks6 Jan 2025
- 2024Large Concept Models: Language Modeling in a Sentence Representation Space11 Dec 2024
- 2024The Faiss library16 Jan 2024
- 2021Nearest neighbor search with compact codes: A decoder perspective17 Dec 2021