Challenge: Quantization is essential for deploying large language models (LLMs) efficiently since they require expensive computational and memory costs.
Approach: They propose a quantization method that unifies flexible mapping techniques to optimize parameters precisely.
Outcome: The proposed method outperforms existing methods and achieves higher accuracy on GSM8K benchmark.

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AMQ: Enabling AutoML for Mixed-precision Weight-Only Quantization of Large Language Models (2025.emnlp-main)

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Challenge: Weight-only quantization is a powerful optimization technique for large language models . pushing below 4 bits often leads to substantial accuracy degradation due to increased quantization error.
Approach: They propose a framework that assigns layer-wise quantization bit-widths to optimize model quality and memory usage.
Outcome: The proposed framework can optimize for large language models under memory constraints.
Beyond Dynamic Quantization: An Efficient Static Hierarchical Mix-precision Framework for Near-Lossless LLM Compression (2025.emnlp-industry)

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Challenge: Existing methods for dynamic quantization are hardware-unfriendly and often lead to large quantization errors in static scenarios.
Approach: They propose a Static Hierarchical Mix-precision Quantization method which quantifies both inter-layer and intra-layer sensitivity through unified derivations involving Hessian.
Outcome: The proposed method achieves 75.58% on zero-shot reasoning tasks while yielding average speedup of 2.86.
Compensate Quantization Errors: Make Weights Hierarchical to Compensate Each Other (2024.findings-naacl)

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Challenge: Emergent Large Language Models (LLMs) use extraordinary performance and powerful deduction capacity to discern from traditional language models.
Approach: They propose a method that uses weights to compensate quantization error and learnable singular value incremental (LSI) LSI is a technique that helps weights compensate each other conditioned on activation.
Outcome: The proposed method achieves state-of-the-art performance in diverse quantization settings, no matter in weight-only, weight-activation or extremely low bit scenarios.
LLM-QAT: Data-Free Quantization Aware Training for Large Language Models (2024.findings-acl)

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Challenge: Several post-training quantization methods have been shown to perform well down to 8-bits.
Approach: They propose a data-free distillation method that leverages generations produced by the pre-trained model to quantize any generative model independent of its training data.
Outcome: The proposed method outperforms SoTA PTQ and LLaMA models at low bit precision.
A Comprehensive Evaluation of Quantization Strategies for Large Language Models (2024.findings-acl)

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Challenge: Quantization studies have focused on instruction-tuned LLMs, leaving their performance on other benchmarks unclear.
Approach: They propose a framework to evaluate quantized large language models using four dimensions . they propose to reduce the bits needed for model weights or activations with minimal performance loss .
Outcome: The proposed framework can retain comparable performance to non-quantized LLMs on most benchmarks.
HIGGS: Pushing the Limits of Large Language Model Quantization via the Linearity Theorem (2025.naacl-long)

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Challenge: Existing methods for quantizing large language models focus on breaking down the problem into layer-wise sub-problems and minimizing per-layer error, but this approach lacks theoretical justification and the metrics employed may be sub-optimal.
Approach: They propose a "linearity theorem" establishing a direct relationship between the layer-wise reconstruction error and the model perplexity increase due to quantization.
Outcome: The proposed method outperforms previous data-free methods and improves accuracy-compression trade-offs on Llama-family models.
PTQ1.61: Push the Real Limit of Extremely Low-Bit Post-Training Quantization Methods for Large Language Models (2025.acl-long)

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Challenge: Existing methods for sub 2-bit quantization introduce an extra 1-bit or more per weight.
Approach: They propose a sub 2-bit post-training quantization method that enables weight quantization to 1.61-bit for the first time.
Outcome: The proposed method reduces the upper bound of quantization error to 1.61-bit for the first time.
ATQ: Activation Transformation forWeight-Activation Quantization of Large Language Models (2024.findings-emnlp)

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Challenge: Quantization methods are available to solve the problem of high computational and storage costs for Large language models.
Approach: They propose an INT8 weight-activation quantization method that can achieve lossless accuracy.
Outcome: The proposed method can achieve lossless accuracy on OPT and LLaMA families.
LLMC: Benchmarking Large Language Model Quantization with a Versatile Compression Toolkit (2024.emnlp-industry)

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Challenge: Existing quantization techniques have been categorized as 'simple' and 'highly efficient' however, their configurations vary from each other and cannot be fairly compared .
Approach: They propose a plug-and-play compression toolkit to explore the impact of quantization.
Outcome: The proposed toolkit explores the impact of quantization on large language models.
Achieving binary weight and activation for LLMs using Post-Training Quantization (2025.findings-acl)

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Challenge: Existing methods for quantizing large language models suffer from performance degradation when weights are quantized to 1 bit.
Approach: They propose a post-training quantization framework with W(1+1)A(14) configuration . they propose utilizing Hessian-aware fine-grained grouping along with an EM-based quantization scheme .
Outcome: The proposed method surpasses state-of-the-art (SOTA) LLM quantization baselines on W2A4 across multiple tasks.

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