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Quantum phase estimation is one of the key algorithms in the field of quantum computing, but up until now, only approximate expressions have been derived for the probability of error. We revisit these derivations, and find that by ensuring…

Quantum Physics · Physics 2012-02-13 James M. Chappell , Max A. Lohe , Lorenz von Smekal , Azhar Iqbal , Derek Abbott

Large Language Models (LLMs) have been extensively researched and used in both academia and industry since the rise in popularity of the Transformer model, which demonstrates excellent performance in AI. However, the computational demands…

Machine Learning · Computer Science 2024-11-06 Jiedong Lang , Zhehao Guo , Shuyu Huang

8-bit integer inference, as a promising direction in reducing both the latency and storage of deep neural networks, has made great progress recently. On the other hand, previous systems still rely on 32-bit floating point for certain…

Computation and Language · Computer Science 2020-09-21 Ye Lin , Yanyang Li , Tengbo Liu , Tong Xiao , Tongran Liu , Jingbo Zhu

Transformers have become pivotal in Natural Language Processing, demonstrating remarkable success in applications like Machine Translation and Summarization. Given their widespread adoption, several works have attempted to analyze the…

Machine Learning · Computer Science 2024-09-02 Swaroop Nath , Harshad Khadilkar , Pushpak Bhattacharyya

The growing scale of large language models (LLMs) not only demands extensive computational resources but also raises environmental concerns due to their increasing carbon footprint. Model quantization emerges as an effective approach that…

Software Engineering · Computer Science 2025-07-15 Saima Afrin , Bowen Xu , Antonio Mastropaolo

Quantization is widely applied in machine learning to reduce computational and storage costs for both data and models. Considering that classification tasks are fundamental to the field, it is crucial to investigate how quantization impacts…

Machine Learning · Computer Science 2025-07-14 Weizhi Lu , Mingrui Chen , Weiyu Li

Transformers have achieved remarkable successes across a wide range of applications, yet the theoretical foundation of their model efficiency remains underexplored. In this work, we investigate how the model parameters -- mainly attention…

Machine Learning · Computer Science 2025-10-07 Ruoxi Yu , Haotian Jiang , Jingpu Cheng , Penghao Yu , Qianxiao Li , Zhong Li

Quantification is the machine learning task of estimating test-data class proportions that are not necessarily similar to those in training. Apart from its intrinsic value as an aggregate statistic, quantification output can also be used to…

Machine Learning · Computer Science 2016-06-06 Aykut Firat

Quantization-Aware Training from scratch has emerged as a promising approach for building efficient large language models (LLMs) with extremely low-bit weights (sub 2-bit), which can offer substantial advantages for edge deployment.…

Machine Learning · Computer Science 2026-02-27 Wenzheng Zhang , Bingzheng Liu , Yang Hu , Xiaoying Bai , Wentao Zhang , Bin Cui

We conduct a systematic study of the approximation properties of Transformer for sequence modeling with long, sparse and complicated memory. We investigate the mechanisms through which different components of Transformer, such as the…

Machine Learning · Computer Science 2024-10-31 Mingze Wang , Weinan E

With the exponentially faster computation for certain problems, quantum computing has garnered significant attention in recent years. Variational quantum algorithms are crucial methods to implement quantum computing, and an appropriate…

Quantum Physics · Physics 2025-11-18 Fei Zhang , Jie Li , Zhimin He , Haozhen Situ

Quantized neural networks are well known for reducing the latency, power consumption, and model size without significant harm to the performance. This makes them highly appropriate for systems with limited resources and low power capacity.…

Machine Learning · Computer Science 2024-06-11 Moshe Kimhi , Tal Rozen , Avi Mendelson , Chaim Baskin

The practical deployment of diffusion models is still hindered by the high memory and computational overhead. Although quantization paves a way for model compression and acceleration, existing methods face challenges in achieving low-bit…

Computer Vision and Pattern Recognition · Computer Science 2025-07-16 Haoxuan Wang , Yuzhang Shang , Zhihang Yuan , Junyi Wu , Junchi Yan , Yan Yan

While the accuracy-fairness trade-off has been frequently observed in the literature of fair machine learning, rigorous theoretical analyses have been scarce. To demystify this long-standing challenge, this work seeks to develop a…

Machine Learning · Computer Science 2023-10-20 Hua Tang , Lu Cheng , Ninghao Liu , Mengnan Du

Counting properties (e.g. determining whether certain tokens occur more than other tokens in a given input text) have played a significant role in the study of expressiveness of transformers. In this paper, we provide a formal framework for…

Computation and Language · Computer Science 2026-03-03 Marco Sälzer , Chris Köcher , Alexander Kozachinskiy , Georg Zetzsche , Anthony Widjaja Lin

There has been many papers in academic literature on quantizing weight tensors in deep learning models to reduce inference latency and memory footprint. TVM also has the ability to quantize weights and support low-bit computations. Although…

Machine Learning · Computer Science 2023-08-23 Mingfei Guo

Quantization is essential for deploying large language models (LLMs) on resource-constrained hardware, but its implications for multilingual tasks remain underexplored. We conduct the first large-scale evaluation of post-training…

Computation and Language · Computer Science 2025-08-29 Benjamin Marie , Atsushi Fujita

Compressing neural networks by quantizing model parameters offers useful trade-off between performance and efficiency. Methods like quantization-aware training and post-training quantization strive to maintain the downstream performance of…

Computer Vision and Pattern Recognition · Computer Science 2026-02-27 Thomas Woergaard , Raghavendra Selvan

Although we are currently in the era of noisy intermediate scale quantum devices, several studies are being conducted with the aim of bringing machine learning to the quantum domain. Currently, quantum variational circuits are one of the…

Quantum Physics · Physics 2023-06-23 Lucas Friedrich , Jonas Maziero

Quantization-aware training (QAT) is a leading technique for improving the accuracy of quantized neural networks. Previous work has shown that decomposing training into a full-precision (FP) phase followed by a QAT phase yields superior…

Machine Learning · Computer Science 2026-02-27 Aleksandr Dremov , David Grangier , Angelos Katharopoulos , Awni Hannun
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