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Related papers: HiFloat4 Format for Language Model Inference

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In this paper, we explore FP8 low-bit data formats for efficient training of large language models (LLMs). Our key insight is that most variables, such as gradients and optimizer states, in LLM training can employ low-precision data formats…

The increasing computational and memory demands of large language models (LLMs) necessitate innovative approaches to optimize resource usage without compromising performance. This paper leverages microscaling floating-point formats, a novel…

Neural and Evolutionary Computing · Computer Science 2025-10-03 Marco Cococcioni , Dario Pagani , Federico Rossi

We demonstrate, for the first time, fully quantized training (FQT) of large language models (LLMs) using predominantly 4-bit floating-point (FP4) precision for weights, activations, and gradients on datasets up to 200 billion tokens. We…

Machine Learning · Computer Science 2025-08-12 Brian Chmiel , Maxim Fishman , Ron Banner , Daniel Soudry

Modern AI hardware, such as Nvidia's Blackwell architecture, is increasingly embracing low-precision floating-point (FP) formats to handle the pervasive activation outliers in Large Language Models (LLMs). Despite this industry trend, a…

Machine Learning · Computer Science 2025-10-30 Mengzhao Chen , Meng Wu , Hui Jin , Zhihang Yuan , Jing Liu , Chaoyi Zhang , Yunshui Li , Jie Huang , Jin Ma , Zeyue Xue , Zhiheng Liu , Xingyan Bin , Ping Luo

The explosive growth of Large Language Models (LLMs), such as GPT-4 with 1.8 trillion parameters, demands a fundamental rethinking of data center architecture to ensure scalability, efficiency, and cost-effectiveness. Our work provides a…

Hardware Architecture · Computer Science 2025-09-09 Jesmin Jahan Tithi , Hanjiang Wu , Avishaii Abuhatzera , Fabrizio Petrini

Large language models (LLMs) demand extensive memory capacity during both fine-tuning and inference. To enable memory-efficient fine-tuning, existing methods apply block-wise quantization techniques, such as NF4 and AF4, to the network…

Machine Learning · Computer Science 2025-05-13 Patrick Blumenberg , Thomas Graave , Tim Fingscheidt

The IEEE 754 floating-point standard is the bedrock of modern computing, but its structural requirements -- a hidden leading bit, Base-2 bit-level normalization, and Sign-Magnitude encoding -- impose significant silicon area and power…

Hardware Architecture · Computer Science 2026-03-11 Keita Morisaki

Federated learning is a promising paradigm that allows multiple clients to collaboratively train a model without sharing the local data. However, the presence of heterogeneous devices in federated learning, such as mobile phones and IoT…

Machine Learning · Computer Science 2025-09-03 Kai Zhang , Yutong Dai , Hongyi Wang , Eric Xing , Xun Chen , Lichao Sun

FP8 is a natural progression for accelerating deep learning training inference beyond the 16-bit formats common in modern processors. In this paper we propose an 8-bit floating point (FP8) binary interchange format consisting of two…

Large language models (LLMs) have grown beyond the memory capacity of single GPU devices, necessitating quantization techniques for practical deployment. While NF4 (4-bit NormalFloat) quantization enables 4$\times$ memory reduction,…

Machine Learning · Computer Science 2026-04-06 Xiangbo Qi , Chaoyi Jiang , Murali Annavaram

Diffusion models are emerging models that generate images by iteratively denoising random Gaussian noise using deep neural networks. These models typically exhibit high computational and memory demands, necessitating effective post-training…

Computer Vision and Pattern Recognition · Computer Science 2024-08-14 Cheng Chen , Christina Giannoula , Andreas Moshovos

Large Language Model training with 8-bit floating point (FP8) formats promises significant efficiency improvements, but reduced numerical precision makes training challenging. It is currently possible to train in FP8 only if one is willing…

Machine Learning · Computer Science 2025-06-06 Saaketh Narayan , Abhay Gupta , Mansheej Paul , Davis Blalock

Reducing hardware overhead of neural networks for faster or lower power inference and training is an active area of research. Uniform quantization using integer multiply-add has been thoroughly investigated, which requires learning many…

Numerical Analysis · Computer Science 2018-11-06 Jeff Johnson

Quantization has emerged as a standard technique for accelerating inference for generative models by enabling faster low-precision computations and reduced memory transfers. Recently, GPU accelerators have added first-class support for…

Large-scale AI models, such as Large Language Models (LLMs) and Diffusion Models (DMs), have grown rapidly in size, creating significant challenges for efficient deployment on resource-constrained hardware. In this paper, we introduce…

Machine Learning · Computer Science 2026-01-05 Tianyi Zhang , Mohsen Hariri , Shaochen Zhong , Vipin Chaudhary , Yang Sui , Xia Hu , Anshumali Shrivastava

Low-precision formats have proven to be an efficient way to reduce not only the memory footprint but also the hardware resources and power consumption of deep learning computations. Under this premise, the posit numerical format appears to…

Machine Learning · Computer Science 2021-05-17 Gonçalo Raposo , Pedro Tomás , Nuno Roma

Microscaling Floating-Point (MXFP) has emerged as a promising low-precision format for large language models (LLMs). Despite various post-training quantization (PTQ) algorithms being proposed, they mostly focus on integer quantization,…

Computation and Language · Computer Science 2026-01-15 Manyi Zhang , Ji-Fu Li , Zhongao Sun , Haoli Bai , Hui-Ling Zhen , Zhenhua Dong , Xianzhi Yu

Existing low-bit Microscaling (MX) formats, such as MXFP4, often suffer from substantial accuracy degradation due to the use of a shared scaling factor with the Power-of-Two format. In this work, we explore strategies that introduce minimal…

Hardware Architecture · Computer Science 2026-01-29 Weiming Hu , Zihan Zhang , Haoyan Zhang , Chen Zhang , Cong Guo , Yu Feng , Tianchi Hu , Guanglin Li , Guipeng Hu , Junsong Wang , Jingwen Leng

In recent years fused-multiply-add (FMA) units with lower-precision multiplications and higher-precision accumulation have proven useful in machine learning/artificial intelligence applications, most notably in training deep neural networks…

Mathematical Software · Computer Science 2019-04-16 Greg Henry , Ping Tak Peter Tang , Alexander Heinecke