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Large Language Models (LLMs) are now integral across various domains and have demonstrated impressive performance. Progress, however, rests on the premise that benchmark scores are both accurate and reproducible. We demonstrate that the…

Computation and Language · Computer Science 2025-10-28 Jiayi Yuan , Hao Li , Xinheng Ding , Wenya Xie , Yu-Jhe Li , Wentian Zhao , Kun Wan , Jing Shi , Xia Hu , Zirui Liu

Iterative solvers are frequently used in scientific applications and engineering computations. However, the memory-bound Sparse Matrix-Vector (SpMV) kernel computation hinders the efficiency of iterative algorithms. As modern hardware…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-11-08 Jianhua Gao , Jiayuan Shen , Yuxiang Zhang , Weixing Ji , Hua Huang

This work proposes a mathematically founded mixed precision accumulation strategy for the inference of neural networks. Our strategy is based on a new componentwise forward error analysis that explains the propagation of errors in the…

Machine Learning · Computer Science 2025-12-03 El-Mehdi El Arar , Silviu-Ioan Filip , Theo Mary , Elisa Riccietti

Renewed interest in mixed-precision algorithms has emerged due to growing data capacity and bandwidth concerns, as well as the advancement of GPUs, which enable significant speedup for low precision arithmetic. In light of this, we propose…

Numerical Analysis · Mathematics 2020-12-14 Alec Michael Dunton , Alyson Fox

Large Language Models such as GPTs (Generative Pre-trained Transformers) exhibit remarkable capabilities across a broad spectrum of applications. Nevertheless, due to their intrinsic complexity, these models present substantial challenges…

Machine Learning · Computer Science 2024-10-17 Ashkan Golgoon , Khashayar Filom , Arjun Ravi Kannan

Efficient number representation is essential for federated learning, natural language processing, and network measurement solutions. Due to timing, area, and power constraints, such applications use narrow bit-width (e.g., 8-bit) number…

Networking and Internet Architecture · Computer Science 2024-10-08 Itamar Cohen , Gil Einziger

Finite-precision arithmetic computations face an inherent tradeoff between accuracy and efficiency. The points in this tradeoff space are determined, among other factors, by different data types but also evaluation orders. To put it simply,…

Programming Languages · Computer Science 2017-07-10 Eva Darulova , Einar Horn , Saksham Sharma

Large language models based on transformer architectures have become integral to state-of-the-art natural language processing applications. However, their training remains computationally expensive and exhibits instabilities, some of which…

Numerical Analysis · Mathematics 2025-03-14 Stanislav Budzinskiy , Wenyi Fang , Longbin Zeng , Philipp Petersen

Traditional optimization methods rely on the use of single-precision floating point arithmetic, which can be costly in terms of memory size and computing power. However, mixed precision optimization techniques leverage the use of both…

Machine Learning · Computer Science 2023-09-25 Basile Lewandowski , Atli Kosson

Reinforcement learning (RL) fine-tuning of large language models (LLMs) often suffers from instability due to the numerical mismatch between the training and inference policies. While prior work has attempted to mitigate this issue through…

Machine Learning · Computer Science 2025-10-31 Penghui Qi , Zichen Liu , Xiangxin Zhou , Tianyu Pang , Chao Du , Wee Sun Lee , Min Lin

The burgeoning computational demands for training large language models (LLMs) necessitate efficient methods, including quantized training, which leverages low-bit arithmetic operations to reduce costs. While FP8 precision has shown…

Machine Learning · Computer Science 2025-02-18 Jiecheng Zhou , Ding Tang , Rong Fu , Boni Hu , Haoran Xu , Yi Wang , Zhilin Pei , Zhongling Su , Liang Liu , Xingcheng Zhang , Weiming Zhang

In recent years, Large Language Models (LLMs) through Transformer structures have dominated many machine learning tasks, especially text processing. However, these models require massive amounts of data for training and induce high resource…

Machine Learning · Computer Science 2025-04-17 Kilian Pfeiffer , Mohamed Aboelenien Ahmed , Ramin Khalili , Jörg Henkel

Large language models (LLMs) based on the generative pre-training transformer (GPT) have demonstrated remarkable effectiveness across a diverse range of downstream tasks. Inspired by the advancements of the GPT, we present PointGPT, a novel…

Computer Vision and Pattern Recognition · Computer Science 2023-05-24 Guangyan Chen , Meiling Wang , Yi Yang , Kai Yu , Li Yuan , Yufeng Yue

Mixed precision training (MPT) is becoming a practical technique to improve the speed and energy efficiency of training deep neural networks by leveraging the fast hardware support for IEEE half-precision floating point that is available in…

Machine Learning · Computer Science 2019-10-29 Ruizhe Zhao , Brian Vogel , Tanvir Ahmed

Modern computer architectures support low-precision arithmetic, which present opportunities for the adoption of mixed-precision algorithms to achieve high computational throughput and reduce energy consumption. As a growing number of…

Computation · Statistics 2024-12-02 Sahil Bhola , Karthik Duraisamy

How to usefully encode compositional task structure has long been a core challenge in AI. Recent work in chain of thought prompting has shown that for very large neural language models (LMs), explicitly demonstrating the inferential steps…

Computation and Language · Computer Science 2022-10-25 Victor S. Bursztyn , David Demeter , Doug Downey , Larry Birnbaum

The latest industrial inference engines, such as FasterTransformer and TurboTransformers, have verified that half-precision floating point (FP16) and 8-bit integer (INT8) quantization can greatly improve model inference speed. However, the…

Machine Learning · Computer Science 2023-12-19 Rong Tian , Zijing Zhao , Weijie Liu , Haoyan Liu , Weiquan Mao , Zhe Zhao , Kan Zhou

An artificial intelligence (AI) model can be viewed as a function that maps inputs to outputs in high-dimensional spaces. Once designed and well trained, the AI model is applied for inference. However, even optimized AI models can produce…

Artificial Intelligence · Computer Science 2026-02-27 Sha Hu

Transformer-based large language models (LLMs) have demonstrated remarkable performance across a wide range of real-world tasks, but their inference cost remains prohibitively high due to the quadratic complexity of attention and the memory…

Machine Learning · Computer Science 2026-04-07 Yifu Ding , Xinhao Zhang , Jinyang Guo

Low precision arithmetic, in particular half precision floating point arithmetic, is now available in commercial hardware. Using lower precision can offer significant savings in computation and communication costs with proportional savings…

Numerical Analysis · Mathematics 2021-11-16 Eda Oktay , Erin Carson
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