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Related papers: Scaling Law for Quantization-Aware Training

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The rapid scaling of language models (LMs) has resulted in unprecedented computational, memory, and energy requirements, making their training and deployment increasingly unsustainable. Quantization has emerged as an essential compression…

The scaling law is becoming a fundamental law in many machine learning areas. That is, test error falls off with the power law when increasing training data, model size, and computing resource. However, whether this law is suitable for the…

Software Engineering · Computer Science 2024-02-21 Jiayi Lin , Hande Dong , Yutao Xie , Lei Zhang

Large language models (LLMs) are rapidly increasing in size, with the number of parameters becoming a key factor in the success of many commercial models, such as ChatGPT, Claude, and Bard. Even the recently released publicly accessible…

Computation and Language · Computer Science 2023-09-19 Somnath Roy

Large language models (LLMs) have transformed natural language processing but pose significant challenges for real-world deployment. These models necessitate considerable computing resources, which can be costly and frequently unavailable.…

Computation and Language · Computer Science 2025-02-17 Xiliang Zhu , Elena Khasanova , Cheng Chen

Low-bit post-training quantization (PTQ) is a practical route to deploy reasoning-capable LLMs under tight memory and latency budgets, yet it can markedly impair mathematical reasoning (drops up to 69.81% in our harder settings). We address…

Machine Learning · Computer Science 2026-01-21 Zhen Li , Yupeng Su , Songmiao Wang , Runming Yang , Congkai Xie , Aofan Liu , Ming Li , Jiannong Cao , Yuan Xie , Ngai Wong , Hongxia Yang

Quantization-aware training (QAT) is an effective method to drastically reduce the memory footprint of LLMs while keeping performance degradation at an acceptable level. However, the optimal choice of quantization format and bit-width…

Machine Learning · Computer Science 2026-02-18 Sohir Maskey , Constantin Eichenberg , Johannes Messner , Douglas Orr

Post-training quantization (PTQ) has emerged as a widely adopted technique for compressing and accelerating Large Language Models (LLMs). The major challenge in LLM quantization is that uneven and heavy-tailed data distributions can expand…

Machine Learning · Computer Science 2025-01-27 Xing Hu , Yuan Cheng , Dawei Yang , Zukang Xu , Zhihang Yuan , Jiangyong Yu , Chen Xu , Zhe Jiang , Sifan Zhou

While scaling laws for large language models (LLMs) during pre-training have been extensively studied, their behavior under reinforcement learning (RL) post-training remains largely unexplored. This paper presents a systematic empirical…

Large language models (LLMs) show excellent performance but are compute- and memory-intensive. Quantization can reduce memory and accelerate inference. However, existing methods cannot maintain accuracy and hardware efficiency at the same…

Computation and Language · Computer Science 2024-04-03 Guangxuan Xiao , Ji Lin , Mickael Seznec , Hao Wu , Julien Demouth , Song Han

The scaling law, a cornerstone of Large Language Model (LLM) development, predicts improvements in model performance with increasing computational resources. Yet, while empirically validated, its theoretical underpinnings remain poorly…

Machine Learning · Computer Science 2026-02-03 Chiwun Yang

In this paper, we investigate the underlying factors that potentially enhance the mathematical reasoning capabilities of large language models (LLMs). We argue that the data scaling law for math reasoning capabilities in modern LLMs is far…

Artificial Intelligence · Computer Science 2024-07-18 Liang Zeng , Liangjun Zhong , Liang Zhao , Tianwen Wei , Liu Yang , Jujie He , Cheng Cheng , Rui Hu , Yang Liu , Shuicheng Yan , Han Fang , Yahui Zhou

Large-scale language models (LLMs) excel in language processing tasks but face deployment challenges due to high memory and computational demands. While low-bit quantization, such as 4-bit techniques, offers a potential solution, these…

Machine Learning · Computer Science 2025-02-06 Dongyoung Lee , Seungkyu Choi , Ik Joon Chang

Layer-wise PTQ is a promising technique for compressing large language models (LLMs), due to its simplicity and effectiveness without requiring retraining. However, recent progress in this area is saturating, underscoring the need to…

Machine Learning · Computer Science 2026-01-14 Yamato Arai , Yuma Ichikawa

Large language models (LLMs) have transformed numerous AI applications. On-device LLM is becoming increasingly important: running LLMs locally on edge devices can reduce the cloud computing cost and protect users' privacy. However, the…

Computation and Language · Computer Science 2026-04-28 Ji Lin , Jiaming Tang , Haotian Tang , Shang Yang , Wei-Ming Chen , Wei-Chen Wang , Guangxuan Xiao , Xingyu Dang , Chuang Gan , Song Han

Post-training quantization is widely employed to reduce the computational demands of neural networks. Typically, individual substructures, such as layers or blocks of layers, are quantized with the objective of minimizing quantization…

Machine Learning · Computer Science 2024-11-07 Khasmamad Shabanovi , Lukas Wiest , Vladimir Golkov , Daniel Cremers , Thomas Pfeil

Transformer language models such as GPT-2 are difficult to quantize because of outliers in activations leading to a large quantization error. To adapt to the error, one must use quantization-aware training, which entails a fine-tuning…

Machine Learning · Computer Science 2022-12-01 Minseop Park , Jaeseong You , Markus Nagel , Simyung Chang

Looped language models (LoopLMs) improve parameter efficiency by recursively reusing Transformer blocks, enabling deeper computation under a fixed model size. However, this reuse makes LoopLMs more fragile under post-training quantization…

Machine Learning · Computer Science 2026-05-19 Rui Fang , Hsi-Wen Chen , Ming-Syan Chen

Quantization is an essential and popular technique for improving the accessibility of large language models (LLMs) by reducing memory usage and computational costs while maintaining performance. In this study, we apply 4-bit Group Scaling…

Computation and Language · Computer Science 2025-08-18 Sahil Sk , Debasish Dhal , Sonal Khosla , Sk Shahid , Sambit Shekhar , Akash Dhaka , Shantipriya Parida , Dilip K. Prasad , Ondřej Bojar

With the commercialization of large language models (LLMs), weight-activation quantization has emerged to compress and accelerate LLMs, achieving high throughput while reducing inference costs. However, existing post-training quantization…

Machine Learning · Computer Science 2025-02-11 Jung Hyun Lee , Jeonghoon Kim , June Yong Yang , Se Jung Kwon , Eunho Yang , Kang Min Yoo , Dongsoo Lee

Strong reasoning capabilities can now be achieved by large-scale reinforcement learning (RL) without any supervised fine-tuning. Although post-training quantization (PTQ) and quantization-aware training (QAT) are well studied in the context…

Machine Learning · Computer Science 2025-11-20 Medha Kumar , Zifei Xu , Xin Wang , Tristan Webb