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LUT-GEMM: Quantized Matrix Multiplication based on LUTs for Efficient Inference in Large-Scale Generative Language Models

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arxiv 2206.09557 v4 pith:QYCTOENE submitted 2022-06-20 cs.DC cs.CL

classification cs.DCcs.CL
keywords lut-gemmquantizationdequantizationefficientprocessachievingcomparedcompression
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Recent advances in self-supervised learning and the Transformer architecture have significantly improved natural language processing (NLP), achieving remarkably low perplexity. However, the growing size of NLP models introduces a memory wall problem during the generation phase. To mitigate this issue, recent efforts have focused on quantizing model weights to sub-4-bit precision while preserving full precision for activations, resulting in practical speed-ups during inference on a single GPU. However, these improvements primarily stem from reduced memory movement, which necessitates a resource-intensive dequantization process rather than actual computational reduction. In this paper, we introduce LUT-GEMM, an efficient kernel for quantized matrix multiplication, which not only eliminates the resource-intensive dequantization process but also reduces computational costs compared to previous kernels for weight-only quantization. Furthermore, we proposed group-wise quantization to offer a flexible trade-off between compression ratio and accuracy. The impact of LUT-GEMM is facilitated by implementing high compression ratios through low-bit quantization and efficient LUT-based operations. We show experimentally that when applied to the OPT-175B model with 3-bit quantization, LUT-GEMM substantially accelerates token generation latency, achieving a remarkable 2.1$\times$ improvement on a single GPU when compared to OPTQ, which relies on the costly dequantization process.

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Cited by 18 Pith papers

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

  1. Vec-LUT: Vector Table Lookup for Parallel Ultra-Low-Bit LLM Inference on Edge Devices

    cs.DC 2025-12 conditional novelty 7.0 of 10

    Vec-LUT delivers up to 4.2x speedup over prior LUT methods for parallel ultra-low-bit LLM inference on edge devices by unifying lookups across tokens and adding cache-aware tensor layouts.

  2. OASIS: Outlier-Aware LUT-Based GEMM with Dual-Side Quantization for LLM Inference Acceleration

    cs.LG 2025-07 conditional novelty 7.0 of 10

    OASIS enables efficient LLM inference with non-uniform 4-bit weights and activations via precomputed Cartesian product lookup tables and a parallel outlier-compensation branch, at a reported 1.94-2.05% average accuracy drop.

  3. QLoRA: Efficient Finetuning of Quantized LLMs

    cs.LG 2023-05 conditional novelty 7.0 of 10

    QLoRA finetunes 4-bit quantized LLMs via LoRA adapters to match full-precision performance while using far less memory, enabling 65B-scale training on single GPUs and producing Guanaco models near ChatGPT level.

  4. GPTQ: Accurate Post-Training Quantization for Generative Pre-trained Transformers

    cs.LG 2022-10 unverdicted novelty 7.0 of 10

    GPTQ quantizes 175B-parameter GPT models to 3-4 bits per weight in one shot using approximate second-order information, achieving negligible accuracy degradation and 3-4x inference speedups.

  5. LLM.int8(): 8-bit Matrix Multiplication for Transformers at Scale

    cs.LG 2022-08 conditional novelty 7.0 of 10

    LLM.int8() performs 8-bit inference for transformers up to 175B parameters with no accuracy loss by combining vector-wise quantization for most features with 16-bit mixed-precision handling of systematic outlier dimensions.

  6. MXSens: Sensitivity-Aware Mixed-Precision Quantization for Efficient LLM Inference

    cs.LG 2026-07 conditional novelty 6.0 of 10

    MXSens allocates 8-bit precision to the 32 most sensitive columns per layer, 6-bit to moderately sensitive columns, and 4-bit elsewhere in MXINT, improving WikiText-2 perplexity over prior 4-bit LLM quantization methods.

  7. StreamDQ: Near-Memory Weight DeQuantization in Custom HBM for Scalable AI Inference Acceleration

    cs.AR 2026-07 conditional novelty 6.0 of 10

    Near-memory DeQuantization Blocks in the HBM base die dequantize weight-only quantized LLM weights on the load path, cutting GPU dequant overhead and yielding up to 7.08× mpGEMM speedup and 2.20× decode throughput in ...

  8. MxGLUT: A Reconfigurable LUT-Centric Broadcast Dataflow Accelerator for Mixed-Precision GEMM

    cs.AR 2026-07 unverdicted novelty 6.0 of 10

    MxGLUT introduces a reconfigurable LUT-centric broadcast dataflow accelerator with mixed-precision LUT-based PEs that unifies FP8-INT4 and FP8-FP8 GEMM without separate FP datapaths, reporting up to 2.16x prefill spee...

  9. When AI Reviews Its Own Code: Recursive Self-Training Collapse in Code LLMs

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    Experiments across code LLMs show no-review collapses fastest, human-gated filters slow collapse, and AI self-gates lose effect over time, degenerating to ungated self-training under self-confirming acceptance as prov...

  10. Hardware Generation and Exploration of Lookup Table-Based Accelerators for 1.58-bit LLM Inference

    cs.AR 2026-04 unverdicted novelty 6.0 of 10

    A formalized design-space framework with generator and TSMC 16nm-validated cost model shows that LUT reuse gains depend on activation type and that larger cores improve density, yielding 2.2x area reduction over multi...

  11. MP-ISMoE: Mixed-Precision Interactive Side Mixture-of-Experts for Efficient Transfer Learning

    cs.LG 2026-04 unverdicted novelty 6.0 of 10

    MP-ISMoE uses Gaussian noise perturbed iterative quantization and interactive side mixture-of-experts to deliver higher accuracy than prior memory-efficient transfer learning methods while keeping similar parameter an...

  12. Frequency Matters: Fast Model-Agnostic Data Curation for Pruning and Quantization

    cs.CL 2026-03 unverdicted novelty 6.0 of 10

    ZipCal curates calibration data for LLM pruning and quantization by maximizing lexical diversity via Zipfian power laws, outperforming random sampling and matching perplexity-based methods at 240x speed.

  13. Systematic Characterization of LLM Quantization: A Performance, Energy, and Quality Perspective

    cs.PF 2025-08 conditional novelty 6.0 of 10

    No single LLM quantization method dominates performance, energy, and quality; the best choice depends on task, request length, load, parallelism, and GPU type.

  14. AWQ: Activation-aware Weight Quantization for LLM Compression and Acceleration

    cs.CL 2023-06 conditional novelty 6.0 of 10

    AWQ quantizes LLM weights to low bits by scaling salient channels based on activation statistics, outperforming prior methods on language, coding, math, and multi-modal benchmarks.

  15. IO-SVD: Input-Output Whitened SVD for Adaptive-Rank LLM Compression

    cs.LG 2026-05 unverdicted novelty 5.0 of 10

    IO-SVD performs SVD-based LLM compression by constructing a KL-aware double-sided whitening space and using first-order loss estimates for heterogeneous rank allocation.

  16. Frequency Matters: Fast Model-Agnostic Data Curation for Pruning and Quantization

    cs.CL 2026-03 conditional novelty 5.0 of 10

    ZipCal curates calibration sets for LLM pruning and quantization by maximizing Zipfian lexical diversity, matching model-perplexity methods at ~240× lower cost.

  17. BPDQ: Bit-Plane Decomposition Quantization on a Variable Grid for Large Language Models

    cs.LG 2026-02 unverdicted novelty 5.0 of 10

    BPDQ creates variable quantization grids from bit-planes and scalar coefficients, refined iteratively with second-order data to minimize output error, enabling 2-bit serving of Qwen2.5-72B on one RTX 3090 at 83.85% GS...

  18. Inference performance evaluation for LLMs on edge devices with a novel benchmarking framework and metric

    cs.PF 2025-08 reject novelty 2.0 of 10

    A benchmarking study of LLM inference on three edge devices with a proposed MBU metric that reduces to a standard throughput normalization.

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