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Modern CNN are typically based on floating point linear algebra based implementations. Recently, reduced precision NN have been gaining popularity as they require significantly less memory and computational resources compared to floating…

Computer Vision and Pattern Recognition · Computer Science 2018-07-30 Jiang Su , Nicholas J. Fraser , Giulio Gambardella , Michaela Blott , Gianluca Durelli , David B. Thomas , Philip Leong , Peter Y. K. Cheung

We present a new library for parallel distributed Fast Fourier Transforms (FFT). The importance of FFT in science and engineering and the advances in high performance computing necessitate further improvements. AccFFT extends existing FFT…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-05-27 Amir Gholami , Judith Hill , Dhairya Malhotra , George Biros

The 3D Discrete Fourier Transform (DFT) is a technique used to solve problems in disparate fields. Nowadays, the commonly adopted implementation of the 3D-DFT is derived from the Fast Fourier Transform (FFT) algorithm. However, evidence…

Computational Physics · Physics 2024-07-10 Nitin Malapally , Viacheslav Bolnykh , Estela Suarez , Paolo Carloni , Thomas Lippert , Davide Mandelli

As state of the art neural networks (NNs) continue to grow in size, their resource-efficient implementation becomes ever more important. In this paper, we introduce a compression scheme that reduces the number of computations required for…

Machine Learning · Computer Science 2025-04-25 Hans Rosenberger , Rodrigo Fischer , Johanna S. Fröhlich , Ali Bereyhi , Ralf R. Müller

Deploying Large Language Models (LLMs) efficiently on edge devices is often constrained by limited memory capacity and high power consumption. Low-bit quantization methods, particularly ternary quantization, have demonstrated significant…

Hardware Architecture · Computer Science 2025-05-02 Chenyang Yin , Zhenyu Bai , Pranav Venkatram , Shivam Aggarwal , Zhaoying Li , Tulika Mitra

The Fast Fourier Transform(FFT) is a classic signal processing algorithm that is utilized in a wide range of applications. For image processing, FFT computes on every pixel's value of an image, regardless of their properties in frequency…

Signal Processing · Electrical Eng. & Systems 2020-02-25 Sheng Shi , Runkai Yang , Haihang You

Automatic algorithm-hardware co-design for DNN has shown great success in improving the performance of DNNs on FPGAs. However, this process remains challenging due to the intractable search space of neural network architectures and hardware…

Computer Vision and Pattern Recognition · Computer Science 2021-04-27 Zhen Dong , Yizhao Gao , Qijing Huang , John Wawrzynek , Hayden K. H. So , Kurt Keutzer

We introduce a parallelizable simplification of Neural Turing Machine (NTM), referred to as P-NTM, which redesigns the core operations of the original architecture to enable efficient scan-based parallel execution. We evaluate the proposed…

Neural and Evolutionary Computing · Computer Science 2026-02-24 Gabriel Faria , Arnaldo Candido Junior

Polynomial multiplication is fundamental in lattice-based cryptography. While the Number Theoretic Transform (NTT) enables fast multiplication, it imposes constraints on the modulus of the coefficient field. Hafiz et al. (2025) addressed…

Cryptography and Security · Computer Science 2026-05-19 Sakura Oku , Momonari Kudo

This paper considers the non-Hermitian Zakharov-Shabat (ZS) scattering problem which forms the basis for defining the SU$(2)$-nonlinear Fourier transform (NFT). The theoretical underpinnings of this generalization of the conventional…

Numerical Analysis · Mathematics 2018-07-24 Vishal Vaibhav

The large number of parameters in Pretrained Language Models enhance their performance, but also make them resource-intensive, making it challenging to deploy them on commodity hardware like a single GPU. Due to the memory and power…

Computation and Language · Computer Science 2024-01-09 Zirui Liu , Qingquan Song , Qiang Charles Xiao , Sathiya Keerthi Selvaraj , Rahul Mazumder , Aman Gupta , Xia Hu

The usage of linear transformations has great relevance for data decorrelation applications, like image and video compression. In that sense, the discrete Tchebichef transform (DTT) possesses useful coding and decorrelation properties. The…

Multimedia · Computer Science 2024-10-14 P. A. M. Oliveira , R. J. Cintra , F. M. Bayer , S. Kulasekera , A. Madanayake , V. A. Coutinho

The fast Fourier transform (FFT) is a primitive kernel in numerous fields of science and engineering. OpenFFT is an open-source parallel package for 3-D FFTs, built on a communication-optimal domain decomposition method for achieving…

Mathematical Software · Computer Science 2015-08-27 Truong Vinh Truong Duy , Taisuke Ozaki

Photonic computing has emerged as a promising substrate for accelerating the dense linear-algebra operations at the heart of AI, yet adoption for large Transformer models remains in its infancy. We identify two bottlenecks: (1) costly…

Emerging Technologies · Computer Science 2025-10-03 Hanqing Zhu , Zhican Zhou , Shupeng Ning , Xuhao Wu , Ray Chen , Yating Wan , David Pan

The linear transform-based tensor nuclear norm (TNN) methods have recently obtained promising results for tensor completion. The main idea of this type of methods is exploiting the low-rank structure of frontal slices of the targeted tensor…

Computer Vision and Pattern Recognition · Computer Science 2021-10-19 Ben-Zheng Li , Xi-Le Zhao , Teng-Yu Ji , Xiong-Jun Zhang , Ting-Zhu Huang

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

Utilizing hardware transactional memory (HTM) in conjunction with non-volatile memory (NVM) to achieve persistence is quite difficult and somewhat awkward due to the fact that the primitives utilized to write data to NVM will abort HTM…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-23 Gaetano Coccimiglio , Trevor Brown , Srivatsan Ravi

This tutorial aims to establish connections between polynomial modular multiplication over a ring to circular convolution and discrete Fourier transform (DFT). The main goal is to extend the well-known theory of DFT in signal processing…

Cryptography and Security · Computer Science 2024-06-11 Sin-Wei Chiu , Keshab K. Parhi

With the advancements in computing technology and web-based applications, data is increasingly generated in multi-dimensional form. This data is usually sparse due to the presence of a large number of users and fewer user interactions. To…

Machine Learning · Computer Science 2020-03-10 Thirunavukarasu Balasubramaniam , Richi Nayak , Chau Yuen

The Fast Fourier Transform (FFT) is widely used in applications such as MRI, CT, and interferometry; however, because of its dependence on uniformly sampled data, it requires the use of gridding techniques for practical implementation. The…

Numerical Analysis · Mathematics 2025-12-22 Federico Achini , Paola Causin , Sara Vanini , Ke Chen , Simone Scacchi