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QuIP#: Even Better LLM Quantization with Hadamard Incoherence and Lattice Codebooks

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arxiv 2402.04396 v2 pith:XAEMDIAU submitted 2024-02-06 cs.LG cs.AIcs.CL

classification cs.LGcs.AIcs.CL
keywords quipquantizationachievesbettercodebookshadamardincoherenceintroduce
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Post-training quantization (PTQ) reduces the memory footprint of LLMs by quantizing their weights to low-precision. In this work, we introduce QuIP#, a weight-only PTQ method that achieves state-of-the-art results in extreme compression regimes ($\le$ 4 bits per weight) using three novel techniques. First, QuIP# improves QuIP's (Chee et al., 2023) incoherence processing by using the randomized Hadamard transform, which is faster and has better theoretical properties. Second, QuIP# uses vector quantization to take advantage of the ball-shaped sub-Gaussian distribution that incoherent weights possess: specifically, we introduce a set of hardware-efficient codebooks based on the highly symmetric $E_8$ lattice, which achieves the optimal 8-dimension unit ball packing. Third, QuIP# uses fine-tuning to improve fidelity to the original model. Our experiments show that QuIP# outperforms existing PTQ methods, enables new behaviors in PTQ scaling, and supports fast inference. Our code can be found at https://github.com/Cornell-RelaxML/quip-sharp.

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Forward citations

Cited by 18 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. FPTQuant: Function-Preserving Transforms for LLM Quantization

    cs.LG 2025-06 conditional novelty 7.0 of 10

    FPTQuant introduces function-preserving transforms that make transformer activations amenable to static 4-bit quantization with minimal inference overhead.

  2. Leech Lattice Vector Quantization for Efficient LLM Compression

    cs.LG 2026-03 conditional novelty 6.5 of 10

    Leech-lattice vector quantization with codebook-free indexing and shape-gain search reaches state-of-the-art ~2-bit post-training LLM compression and reduces reliance on Hadamard rotations.

  3. TaskPress: Query-Agnostic KV Cache Compression via Task-Guided Pruning

    cs.AI 2026-08 conditional novelty 6.0 of 10

    A task guide acts as a meta-query to compress the KV cache once per task, so one compressed memory serves many future questions.

  4. GyRot: Leveraging Hidden Synergy between Rotation and Fine-grained Group Quantization for Low-bit LLM Inference

    cs.AR 2026-07 conditional novelty 6.0 of 10

    Rotation and fine-grained group quantization can work together if rotation spans several quantization groups and outlier channels are permuted onto harmonic Hadamard rows, enabling 4-bit LLM inference with integer-onl...

  5. A Motion-Aware Vector Quantization Framework with Centroid Reuse for Efficient VLA Inference

    cs.AI 2026-07 conditional novelty 6.0 of 10

    Motion-aware vector quantization plus centroid-reuse GEMM and a custom accelerator yield multi-fold VLA speedups over GPU and prior accelerators with ~2.5% average success-rate drop.

  6. Reliability Scaling Laws for Quantized Large Language Models

    cs.LG 2026-07 conditional novelty 6.0 of 10

    Reliability of quantized LLMs peaks nonlinearly at 4-bit precision under fixed total model bits, while accuracy scales monotonically, and quantization can improve robustness to natural perturbations.

  7. FAIR-Calib: Frontier-Aware Instability-Reweighted Calibration for Post-Training Quantization of Diffusion Large Language Models

    cs.LG 2026-06 unverdicted novelty 6.0 of 10

    FAIR-Calib is a frontier-aware instability-reweighted calibration framework for PTQ of dLLMs that minimizes reweighted hidden-state MSE to reduce frontier decision flips.

  8. Price of metric universality in vector quantization is at most 0.11 bit

    cs.IT 2026-02 conditional novelty 6.0 of 10

    A universal vector-quantization codebook exists that is within 0.11 bit/coordinate of covariance-adaptive waterfilling simultaneously for all input covariances, for Gaussian weights.

  9. SALAAD: Sparse And Low-Rank Adaptation via ADMM for Large Language Model Inference

    cs.LG 2026-02 conditional novelty 6.0 of 10

    SALAAD uses an ADMM-style optimizer and an adaptive controller to force LLM weights into sparse-plus-low-rank form during pretraining, so one checkpoint can be elastically deployed at many parameter budgets.

  10. From Segments to Scenes: Temporal Understanding for Agentic Autonomous Driving via Vision-Language Models

    cs.CV 2025-12 conditional novelty 6.0 of 10

    TAD, a 5,861-question benchmark, shows VLMs score far below humans on temporal understanding of driving videos, and an ego-trajectory text summary (TCogMap) substantially boosts their scores.

  11. CCQ: Convolutional Code for Extreme Low-bit Quantization in LLMs

    cs.LG 2025-07 conditional novelty 6.0 of 10

    CCQ compresses LLMs to 2.0-2.75 bits per weight using convolutional codes and bit-shift decoding, shrinking 671B-parameter models to under 200GB.

  12. PCDVQ: Enhancing Vector Quantization for Large Language Models via Polar Coordinate Decoupling

    cs.LG 2025-06 conditional novelty 6.0 of 10

    PCDVQ compresses LLM weights to 2 bits by quantizing vector directions and magnitudes separately with distribution-matched codebooks, reporting modest zero-shot accuracy gains over prior vector quantization baselines.

  13. BASE-Q: Bias and Asymmetric Scaling Enhanced Rotational Quantization for Large Language Models

    cs.LG 2025-05 conditional novelty 6.0 of 10

    BASE-Q combines bias correction and asymmetric scaling under fixed rotations to improve 4-bit weight-activation quantization, narrowing the accuracy gap to full precision by up to 50.5% over prior rotation-based methods.

  14. RoSTE: An Efficient Quantization-Aware Supervised Fine-Tuning Approach for Large Language Models

    cs.LG 2025-02 conditional novelty 6.0 of 10

    RoSTE couples quantization-aware supervised fine-tuning with per-layer Hadamard rotation selection, reducing quantization outliers and improving 4-bit quantized LLM accuracy over SFT-then-PTQ baselines.

  15. Break Through the Compression Bottleneck: From Theory to Practice

    cs.CL 2026-05 reject novelty 5.0 of 10

    The paper asserts a first proof that low-rank decomposition and quantization are non-orthogonal tools for LLM compression, recommends low-rank-first ordering, and adds a diagonal scaling fix (DAM) that reduces the com...

  16. LCD: Advancing Extreme Low-Bit Clustering for Large Language Models via Knowledge Distillation

    cs.LG 2025-05 reject novelty 5.0 of 10

    LCD clusters LLM weights into tiny codebooks under a Hessian-guided objective and uses lookup-table inference to reach 2-3 bits, with reported speedups up to 6.2x.

  17. Cross-Layer Error Compensation and Finite-Sample Feature-Statistics Matching for Extreme Low-Bit Quantization of Large Language Models

    cs.NE 2026-07 conditional novelty 4.0 of 10

    A whole-network final-feature and statistics matching objective improves 1.125-bit and 4.125-bit LLM quantization over layer-local and distillation baselines, but its cross-layer mechanism reduces exactly to final-fea...

  18. Rethinking the Outlier Distribution in Large Language Models: An In-depth Study

    cs.CL 2025-05 reject novelty 4.0 of 10

    The paper claims that most massive activations in LLMs are residual-propagated 'fake' outliers that can be removed without accuracy loss.

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