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In Transformer models, non-GEMM (non-General Matrix Multiplication) operations -- especially Softmax and Layer Normalization (LayerNorm) -- often dominate hardware cost due to their nonlinear nature. To address this, previous approximation…

Hardware Architecture · Computer Science 2026-04-28 Dawon Choi , Hana Kim , Ji-Hoon Kim

Homomorphic encryption is one of the main solutions for building secure and privacy-preserving solutions for Machine Learning as a Service. This motivates the development of homomorphic algorithms for the main building blocks of AI,…

Cryptography and Security · Computer Science 2024-10-16 Wonhee Cho , Guillaume Hanrot , Taeseong Kim , Minje Park , Damien Stehlé

Transformers are widely used across various applications, many of which yield sparse or partially filled attention matrices. Examples include attention masks designed to reduce the quadratic complexity of attention, sequence packing…

Machine Learning · Computer Science 2024-09-25 Agniv Sharma , Jonas Geiping

Tiny deep learning on microcontroller units (MCUs) is challenging due to the limited memory size. We find that the memory bottleneck is due to the imbalanced memory distribution in convolutional neural network (CNN) designs: the first…

Computer Vision and Pattern Recognition · Computer Science 2024-04-04 Ji Lin , Wei-Ming Chen , Han Cai , Chuang Gan , Song Han

Large language models (LLMs), with their billions of parameters, pose substantial challenges for deployment on edge devices, straining both memory capacity and computational resources. Block Floating Point (BFP) quantisation reduces memory…

Hardware Architecture · Computer Science 2025-04-23 Xiaomeng Han , Yuan Cheng , Jing Wang , Junyang Lu , Hui Wang , X. x. Zhang , Ning Xu , Dawei Yang , Zhe Jiang

We present an algorithm to reduce the computational effort for the multiplication of a given matrix with an unknown column vector. The algorithm decomposes the given matrix into a product of matrices whose entries are either zero or integer…

Information Theory · Computer Science 2020-02-28 Ralf R. Müller , Bernhard Gäde , Ali Bereyhi

The growing demand for long-context inference capabilities in Large Language Models (LLMs) has intensified the computational and memory bottlenecks inherent to the self-attention mechanism. To address this challenge, we introduce BLASST, a…

Recent research has shown that large language models (LLMs) can utilize low-precision floating point (FP) quantization to deliver high efficiency while maintaining original model accuracy. In particular, recent works have shown the…

Hardware Architecture · Computer Science 2025-06-05 Faraz Tahmasebi , Yian Wang , Benji Y. H. Huang , Hyoukjun Kwon

Although beam emittance is critical for the performance of high-brightness accelerators, optimization is often time limited as emittance calculations, commonly done via quadrupole scans, are typically slow. Such calculations are a type of…

Recently, Transformer networks have demonstrated outstanding performance in the field of image restoration due to the global receptive field and adaptability to input. However, the quadratic computational complexity of Softmax-attention…

Computer Vision and Pattern Recognition · Computer Science 2025-04-15 Zhi Jin , Yuwei Qiu , Kaihao Zhang , Hongdong Li , Wenhan Luo

Convolutional neural networks (CNNs) achieve state-of-the-art performance at the cost of becoming deeper and larger. Although quantization (both fixed-point and floating-point) has proven effective for reducing storage and memory access,…

Signal Processing · Electrical Eng. & Systems 2020-03-06 Chen Wu , Mingyu Wang , Xiayu Li , Jicheng Lu , Kun Wang , Lei He

Vision transformers (ViTs) have pushed the state-of-the-art for various visual recognition tasks by patch-wise image tokenization followed by self-attention. However, the employment of self-attention modules results in a quadratic…

Computer Vision and Pattern Recognition · Computer Science 2022-05-03 Jiachen Lu , Jinghan Yao , Junge Zhang , Xiatian Zhu , Hang Xu , Weiguo Gao , Chunjing Xu , Tao Xiang , Li Zhang

As machine learning (ML) permeates fields like healthcare, facial recognition, and blockchain, the need to protect sensitive data intensifies. Fully Homomorphic Encryption (FHE) allows inference on encrypted data, preserving the privacy of…

Cryptography and Security · Computer Science 2024-05-08 Jianming Tong , Jingtian Dang , Anupam Golder , Callie Hao , Arijit Raychowdhury , Tushar Krishna

Transformers have become foundational architectures for both natural language and computer vision tasks. However, the high computational cost makes it quite challenging to deploy on resource-constraint devices. This paper investigates the…

Computer Vision and Pattern Recognition · Computer Science 2024-06-18 Jialong Guo , Xinghao Chen , Yehui Tang , Yunhe Wang

State-of-the-art generic low-precision training algorithms use a mix of 16-bit and 32-bit precision, creating the folklore that 16-bit hardware compute units alone are not enough to maximize model accuracy. As a result, deep learning…

Machine Learning · Computer Science 2021-03-09 Pedram Zamirai , Jian Zhang , Christopher R. Aberger , Christopher De Sa

Homomorphic encryption (HE) is a prominent framework for privacy-preserving machine learning, enabling inference directly on encrypted data. However, evaluating softmax, a core component of transformer architectures, remains particularly…

Cryptography and Security · Computer Science 2026-05-11 Hanjun Park , Byeongseo Min , Jiheon Woo , Min-Wook Jeong , Jongho Shin , Yongwoo Lee , Young-Sik Kim , Yongjune Kim

Precision scaling has emerged as a popular technique to optimize the compute and storage requirements of Deep Neural Networks (DNNs). Efforts toward creating ultra-low-precision (sub-8-bit) DNNs suggest that the minimum precision required…

Machine Learning · Computer Science 2021-11-01 Reena Elangovan , Shubham Jain , Anand Raghunathan

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

The softmax attention mechanism has emerged as a noteworthy development in the field of Artificial Intelligence research, building on the successes of Transformer-based architectures. However, their ever increasing sizes necessitate ever…

Computation and Language · Computer Science 2023-05-19 Luca Herranz-Celotti , Ermal Rrapaj

Transformers have become the cornerstone of modern large-scale language models, but their reliance on softmax attention poses a computational bottleneck at both training and inference. Recurrent models offer high efficiency, but compressing…

Computation and Language · Computer Science 2025-11-20 Xiuying Wei , Anunay Yadav , Razvan Pascanu , Caglar Gulcehre
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