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We propose a loop optimization algorithm based on nuclear norm regularization for tensor network. The key ingredient of this scheme is to introduce a rank penalty term proposed in the context of data processing. Compared to standard…

Statistical Mechanics · Physics 2024-11-07 Kenji Homma , Tsuyoshi Okubo , Naoki Kawashima

In this paper, we propose StruM, a novel structured mixed-precision-based deep learning inference method, co-designed with its associated hardware accelerator (DPU), to address the escalating computational and memory demands of deep…

Hardware Architecture · Computer Science 2025-05-20 Michael Wu , Arnab Raha , Deepak A. Mathaikutty , Martin Langhammer , Engin Tunali , Daksha Sharma

Emerging deep learning workloads urgently need fast general matrix multiplication (GEMM). To meet such demand, one of the critical features of machine-learning-specific accelerators such as NVIDIA Tensor Cores, AMD Matrix Cores, and Google…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-13 Bo Fang , Xinyi Li , Harvey Dam , Cheng Tan , Siva Kumar Sastry Hari , Timothy Tsai , Ignacio Laguna , Dingwen Tao , Ganesh Gopalakrishnan , Prashant Nair , Kevin Barker , Ang Li

In this paper, we propose a scalable approximate multiplier design, scaleTRIM, that approximates the multiplication operation using fitted linear functions, also referred to as linearization. We show that multiplication operations can be…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-14 Ebrahim Farahmand , Mohammad Javad Askarizadeh , Ali Mahani , Behnam Ghavami , Hassan Ghasemzadeh , Muhammad Abdullah Hanif , Muhammad Shafique

Compared to the first generation of deep neural networks, dominated by regular, compute-intensive kernels such as matrix multiplications (MatMuls) and convolutions, modern decoder-based transformers interleave attention, normalization, and…

Hardware Architecture · Computer Science 2026-03-06 Max Wipfli , Gamze İslamoğlu , Navaneeth Kunhi Purayil , Angelo Garofalo , Luca Benini

Large language models (LLMs) have transformed natural-language processing, yet their scale makes real-world deployment costly. Post-training quantization reduces memory and computation but often degrades accuracy, while quantization-aware…

Machine Learning · Computer Science 2025-05-15 Cody Steinmetz , Gavin Childress , Aaron Herbst , Gavin Jones , Jasdeep Singh , Eli Vang , Keagan Weinstock

General matrix-matrix multiplication (GEMM) is a cornerstone of AI computations, making tensor processing engines (TPEs) increasingly critical in GPUs and domain-specific architectures. Existing architectures primarily optimize dataflow or…

Hardware Architecture · Computer Science 2025-03-11 Qizhe Wu , Huawen Liang , Yuchen Gui , Zhichen Zeng , Zerong He , Linfeng Tao , Xiaotian Wang , Letian Zhao , Zhaoxi Zeng , Wei Yuan , Wei Wu , Xi Jin

As large language models (LLMs) continue to evolve, efficient evaluation metrics are vital for assessing their ability to compress information and reduce redundancy. While traditional metrics like Matrix Entropy offer valuable insights,…

Computation and Language · Computer Science 2025-06-04 Yahan Li , Tingyu Xia , Yi Chang , Yuan Wu

NVIDIA Tensor Core is a mixed-precision matrix-matrix multiplication and addition computing unit, where the theoretical peak performance is more than 300 TFlop/s on NVIDIA A100 GPU. NVIDIA provides WMMA API for using Tensor Cores in custom…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-08-30 Hiroyuki Ootomo , Rio Yokota

Large Language Models (LLMs) have shown remarkable performance across various tasks, but the escalating demands on computational resources pose significant challenges, particularly in the extensive utilization of full fine-tuning for…

Machine Learning · Computer Science 2025-01-07 Jia-Hong Huang , Yixian Shen , Hongyi Zhu , Stevan Rudinac , Evangelos Kanoulas

This paper introduces an efficient strategy to transform Large Language Models (LLMs) into Multi-Modal Large Language Models (MLLMs). By conceptualizing this transformation as a domain adaptation process, i.e., transitioning from text…

Computation and Language · Computer Science 2023-12-19 Bingchen Zhao , Haoqin Tu , Chen Wei , Jieru Mei , Cihang Xie

Large language models (LLMs) face significant inference latency due to inefficiencies in GEMM operations, weight access, and KV cache access, especially in real-time scenarios. This highlights the need for a versatile compute-memory…

Hardware Architecture · Computer Science 2025-09-15 Huizheng Wang , Zichuan Wang , Zhiheng Yue , Yousheng Long , Taiquan Wei , Jianxun Yang , Yang Wang , Chao Li , Shaojun Wei , Yang Hu , Shouyi Yin

Dense linear layers are the dominant computational bottleneck in foundation models. Identifying more efficient alternatives to dense matrices has enormous potential for building more compute-efficient models, as exemplified by the success…

Machine Learning · Computer Science 2024-06-11 Shikai Qiu , Andres Potapczynski , Marc Finzi , Micah Goldblum , Andrew Gordon Wilson

The inherent diversity of computation types within the deep neural network (DNN) models often requires a variety of specialized units in hardware processors, which limits computational efficiency, increasing both inference latency and power…

Machine Learning · Computer Science 2024-08-21 Ruiqi Sun , Siwei Ye , Jie Zhao , Xin He , Jianzhe Lin , Yiran Li , An Zou

In recent years, a new kind of accelerated hardware has gained popularity in the Artificial Intelligence (AI) and Machine Learning (ML) communities which enables extremely high-performance tensor contractions in reduced precision for deep…

Computational Physics · Physics 2024-05-01 Adela Habib , Joshua Finkelstein , Anders M. N. Niklasson

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

Batch Normalization (BatchNorm) is a widely adopted technique that enables faster and more stable training of deep neural networks (DNNs). Despite its pervasiveness, the exact reasons for BatchNorm's effectiveness are still poorly…

Machine Learning · Statistics 2019-04-16 Shibani Santurkar , Dimitris Tsipras , Andrew Ilyas , Aleksander Madry

The successful training of deep neural networks requires addressing challenges such as overfitting, numerical instabilities leading to divergence, and increasing variance in the residual stream. A common solution is to apply regularization…

Machine Learning · Computer Science 2025-11-20 Jörg K. H. Franke , Urs Spiegelhalter , Marianna Nezhurina , Jenia Jitsev , Frank Hutter , Michael Hefenbrock

Driven by deep learning, there has been a surge of specialized processors for matrix multiplication, referred to as TensorCore Units (TCUs). These TCUs are capable of performing matrix multiplications on small matrices (usually 4x4 or…

Performance · Computer Science 2019-11-26 Abdul Dakkak , Cheng Li , Isaac Gelado , Jinjun Xiong , Wen-mei Hwu

Tensor Core is a mixed-precision matrix-matrix multiplication unit on NVIDIA GPUs with a theoretical peak performance of more than 300 TFlop/s on Ampere architectures. Tensor Cores were developed in response to the high demand of dense…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-10-19 Hiroyuki Ootomo , Rio Yokota