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While the Karatsuba algorithm reduces the complexity of large integer multiplication, the extra additions required minimize its benefits for smaller integers of more commonly-used bitwidths. In this work, we propose the extension of the…

Hardware Architecture · Computer Science 2025-01-16 Trevor E. Pogue , Nicola Nicolici

Arbitrary-precision integer multiplication is the core kernel of many applications in simulation, cryptography, etc. Existing acceleration of arbitrary-precision integer multiplication includes CPUs, GPUs, FPGAs, and ASICs. Among these…

Hardware Architecture · Computer Science 2023-09-22 Zhuoping Yang , Jinming Zhuang , Jiaqi Yin , Cunxi Yu , Alex K. Jones , Peipei Zhou

Matrix multiplication is the dominant computation during Machine Learning (ML) inference. To efficiently perform such multiplication operations, Compute-in-memory (CiM) paradigms have emerged as a highly energy efficient solution. However,…

Hardware Architecture · Computer Science 2025-03-03 Tanvi Sharma , Mustafa Ali , Indranil Chakraborty , Kaushik Roy

We present the acceleration of an IMplicit-EXplicit (IMEX) non-hydrostatic atmospheric model on manycore processors such as GPUs and Intel's MIC architecture. IMEX time integration methods sidestep the constraint imposed by the…

Low bit-width Quantized Neural Networks (QNNs) enable deployment of complex machine learning models on constrained devices such as microcontrollers (MCUs) by reducing their memory footprint. Fine-grained asymmetric quantization (i.e.,…

Hardware Architecture · Computer Science 2020-10-09 Gianmarco Ottavi , Angelo Garofalo , Giuseppe Tagliavini , Francesco Conti , Luca Benini , Davide Rossi

Performance optimization is the art of continuous seeking a harmonious mapping between the application domain and hardware. Recent years have witnessed a surge of deep learning (DL) applications in industry. Conventional wisdom for…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-27 Guoping Long , Jun Yang , Wei Lin

In this paper, we propose CUDA-L2, a system that combines large language models (LLMs) and reinforcement learning (RL) to automatically optimize Half-precision General Matrix Multiply (HGEMM) CUDA kernels. Using CUDA execution speed as the…

Machine Learning · Computer Science 2025-12-15 Songqiao Su , Xiaofei Sun , Xiaoya Li , Albert Wang , Jiwei Li , Chris Shum

Fast combinational multipliers with large bit widths can occupy significant silicon area, which also drives up power consumption. Area can be reduced through resource sharing (i.e., folding) at the expense of lower throughput, which is…

Hardware Architecture · Computer Science 2025-09-03 Ahmad Houraniah , H. Fatih Ugurdag , C. Emre Dedeagac

Matrix engines or units, in different forms and affinities, are becoming a reality in modern processors; CPUs and otherwise. The current and dominant algorithmic approach to Deep Learning merits the commercial investments in these units,…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-03-02 Jens Domke , Emil Vatai , Aleksandr Drozd , Peng Chen , Yosuke Oyama , Lingqi Zhang , Shweta Salaria , Daichi Mukunoki , Artur Podobas , Mohamed Wahib , Satoshi Matsuoka

Reducing the memory footprint of neural networks is a crucial prerequisite for deploying them in small and low-cost embedded devices. Network parameters can often be reduced significantly through pruning. We discuss how to best represent…

Data Structures and Algorithms · Computer Science 2021-11-25 Elias Trommer , Bernd Waschneck , Akash Kumar

Matrix completion and extrapolation (MCEX) are dealt with here over reproducing kernel Hilbert spaces (RKHSs) in order to account for prior information present in the available data. Aiming at a faster and low-complexity solver, the task is…

Machine Learning · Statistics 2019-10-02 Pere Giménez-Febrer , Alba Pagès-Zamora , Georgios B. Giannakis

Dense matrix multiply (MM) serves as one of the most heavily used kernels in deep learning applications. To cope with the high computation demands of these applications, heterogeneous architectures featuring both FPGA and dedicated ASIC…

Hierarchical matrix approximations have gained significant traction in the machine learning and scientific community as they exploit available low-rank structures in kernel methods to compress the kernel matrix. The resulting compressed…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-12-03 Bangtian Liu , Kazem Cheshmi , Saeed Soori , Michelle Mills Strout , Maryam Mehri Dehnavi

Matrix multiplication is a fundamental operation in both training of neural networks and inference. To accelerate matrix multiplication, Graphical Processing Units (GPUs) provide it implemented in hardware. Due to the increased throughput…

Mathematical Software · Computer Science 2026-04-07 Faizan A. Khattak , Mantas Mikaitis

Modern computing workloads commonly involve matrix-matrix multiplication (mmul) as a core computing pattern. Coarse-Grained Reconfigurable Arrays (CGRAs) can flexibly and efficiently support it, since they combine operation-level…

Hardware Architecture · Computer Science 2026-04-29 Yuxuan Wang , María José Belda , Fernando Castro , Katzalin Olcoz , David Atienza , Giovanni Ansaloni

Index modulation (IM) reduces the power consumption and hardware cost of the multiple-input multiple-output (MIMO) system by activating part of the antennas for data transmission. However, IM significantly increases the complexity of the…

Information Theory · Computer Science 2021-12-03 Chenwu Zhang , Hancheng Lu , Jinxue Liu

Extended reality (XR) applications are Machine Learning (ML)-intensive, featuring deep neural networks (DNNs) with millions of weights, tightly latency-bound (10-20 ms end-to-end), and power-constrained (low tens of mW average power). While…

Vector processing is crucial for boosting processor performance and efficiency, particularly with data-parallel tasks. The RISC-V "V" Vector Extension (RVV) enhances algorithm efficiency by supporting vector registers of dynamic sizes and…

Programming Languages · Computer Science 2025-06-23 Siyi Xu , Limin Jiang , Yintao Liu , Yihao Shen , Yi Shi , Shan Cao , Zhiyuan Jiang

Efficient implementations of HPC applications for parallel architectures generally rely on external software packages (e.g., BLAS, LAPACK, CUDNN). While these libraries provide highly optimized routines for certain characteristics of inputs…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-02-16 Philippe Tillet , David Cox

As custom hardware accelerators become more prevalent, it becomes increasingly important to automatically generate efficient host-driver code that can fully leverage the capabilities of these accelerators. This approach saves time and…

Programming Languages · Computer Science 2024-03-01 Jude Haris , Nicolas Bohm Agostini , Antonino Tumeo , David Kaeli , José Cano
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