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TurboQuant: Online Vector Quantization with Near-optimal Distortion Rate

24 Pith papers cite this work. Polarity classification is still indexing.

24 Pith papers citing it
abstract

Vector quantization, a problem rooted in Shannon's source coding theory, aims to quantize high-dimensional Euclidean vectors while minimizing distortion in their geometric structure. We propose TurboQuant to address both mean-squared error (MSE) and inner product distortion, overcoming limitations of existing methods that fail to achieve optimal distortion rates. Our data-oblivious algorithms, suitable for online applications, achieve near-optimal distortion rates (within a small constant factor) across all bit-widths and dimensions. TurboQuant achieves this by randomly rotating input vectors, inducing a concentrated Beta distribution on coordinates, and leveraging the near-independence property of distinct coordinates in high dimensions to simply apply optimal scalar quantizers per each coordinate. Recognizing that MSE-optimal quantizers introduce bias in inner product estimation, we propose a two-stage approach: applying an MSE quantizer followed by a 1-bit Quantized JL (QJL) transform on the residual, resulting in an unbiased inner product quantizer. We also provide a formal proof of the information-theoretic lower bounds on best achievable distortion rate by any vector quantizer, demonstrating that TurboQuant closely matches these bounds, differing only by a small constant ($\approx 2.7$) factor. Experimental results validate our theoretical findings, showing that for KV cache quantization, we achieve absolute quality neutrality with 3.5 bits per channel and marginal quality degradation with 2.5 bits per channel. Furthermore, in nearest neighbor search tasks, our method outperforms existing product quantization techniques in recall while reducing indexing time to virtually zero.

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2026 24

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representative citing papers

Block-Sphere Vector Quantization

cs.LG · 2026-05-19 · unverdicted · novelty 7.0

BlockQuant is a new block quantization algorithm on the sphere after random rotation that theoretically improves reconstruction MSE and expected inner-product distortion over EDEN, RabitQ, and TurboQuant.

Runtime-Certified Bounded-Error Quantized Attention

cs.LG · 2026-05-20 · unverdicted · novelty 6.0

A tiered KV cache architecture computes per-head per-step error bounds on quantized attention and uses adaptive fallback to guarantee bounded or exact outputs relative to FP16 reference.

PEEK: Context Map as an Orientation Cache for Long-Context LLM Agents

cs.AI · 2026-05-19 · unverdicted · novelty 6.0

PEEK maintains a constant-sized context map via a programmable cache policy to give LLM agents persistent orientation knowledge about recurring external contexts, yielding 6-34% gains and lower cost than prior prompt-learning methods.

VeriCache: Turning Lossy KV Cache into Lossless LLM Inference

cs.AR · 2026-05-17 · unverdicted · novelty 6.0

VeriCache turns lossy KV cache compression into lossless LLM inference by drafting with compressed cache and verifying drafts with full cache, achieving up to 4x throughput with identical outputs.

HARBOR: Automated Harness Optimization

cs.LG · 2026-04-22 · unverdicted · novelty 6.0

HARBOR formalizes harness optimization as constrained noisy Bayesian optimization over mixed-variable spaces and reports a case study where it outperforms manual tuning on a production coding agent.

High-Rate Quantized Matrix Multiplication I

cs.IT · 2026-01-23 · unverdicted · novelty 5.0

High-rate quantization theory yields accurate approximations for the distortion of absmax INT and FP schemes in generic weight-plus-activation matrix multiplication.

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Showing 24 of 24 citing papers.