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Convolutional neural networks have become an essential element of spatial deep learning systems. In the prevailing architecture, the convolution operation is performed with Fast Fourier Transforms (FFT) electronically in GPUs. The…

Emerging Technologies · Computer Science 2017-09-01 Jonathan George , Hani Nejadriahi , Volker Sorger

The fast Fourier transform, FFT, is a useful and prevalent algorithm in signal processing. It characterizes the spectral components of a signal, or is used in combination with other operations to perform more complex computations such as…

Signal Processing · Electrical Eng. & Systems 2017-11-08 Hani Nejadriahi , David HillerKuss , Jonathan K. George , Volker J. Sorger

An integrated photonic circuit architecture to perform a modified-convolution operation based on the Discrete Fractional Fourier Transform (DFrFT) is introduced. This is accomplished by utilizing two nonuniformly-coupled waveguide lattices…

Optics · Physics 2025-02-25 Kevin Zelaya , Mohammad-Ali Miri

Convolutional networks are one of the most widely employed architectures in computer vision and machine learning. In order to leverage their ability to learn complex functions, large amounts of data are required for training. Training a…

Computer Vision and Pattern Recognition · Computer Science 2015-06-09 Michael Mathieu , Mikael Henaff , Yann LeCun

Convolution models with long filters have demonstrated state-of-the-art reasoning abilities in many long-sequence tasks but lag behind the most optimized Transformers in wall-clock time. A major bottleneck is the Fast Fourier Transform…

Machine Learning · Computer Science 2023-11-13 Daniel Y. Fu , Hermann Kumbong , Eric Nguyen , Christopher Ré

The Discrete Fourier Transform (DFT) is essential for various applications ranging from signal processing to convolution and polynomial multiplication. The groundbreaking Fast Fourier Transform (FFT) algorithm reduces DFT time complexity…

Hardware Architecture · Computer Science 2023-04-06 Orian Leitersdorf , Yahav Boneh , Gonen Gazit , Ronny Ronen , Shahar Kvatinsky

We examine the performance profile of Convolutional Neural Network training on the current generation of NVIDIA Graphics Processing Units. We introduce two new Fast Fourier Transform convolution implementations: one based on NVIDIA's cuFFT…

Machine Learning · Computer Science 2015-04-14 Nicolas Vasilache , Jeff Johnson , Michael Mathieu , Soumith Chintala , Serkan Piantino , Yann LeCun

This paper proposes to use Fast Fourier Transformation-based U-Net (a refined fully convolutional networks) and perform image convolution in neural networks. Leveraging the Fast Fourier Transformation, it reduces the image convolution costs…

Computer Vision and Pattern Recognition · Computer Science 2020-10-12 Varsha Nair , Moitrayee Chatterjee , Neda Tavakoli , Akbar Siami Namin , Craig Snoeyink

Deep learning has delivered its powerfulness in many application domains, especially in image and speech recognition. As the backbone of deep learning, deep neural networks (DNNs) consist of multiple layers of various types with hundreds to…

Machine Learning · Computer Science 2017-12-14 Sheng Lin , Ning Liu , Mahdi Nazemi , Hongjia Li , Caiwen Ding , Yanzhi Wang , Massoud Pedram

The Convolutional Neural Network (CNN) is a state-of-the-art architecture for a wide range of deep learning problems, the quintessential example of which is computer vision. CNNs principally employ the convolution operation, which can be…

Image and Video Processing · Electrical Eng. & Systems 2021-03-17 Edward Cottle , Florent Michel , Joseph Wilson , Nick New , Iman Kundu

With recent rapid advances in photonic integrated circuits, it has been demonstrated that programmable photonic chips can be used to implement artificial neural networks. Convolutional neural networks (CNN) are a class of deep learning…

Signal Processing · Electrical Eng. & Systems 2020-03-30 Jun Rong Ong , Chin Chun Ooi , Thomas Y. L. Ang , Soon Thor Lim , Ching Eng Png

2D convolution is a staple of digital image processing. The advent of large format imagers makes it possible to literally ``pave'' with silicon the focal plane of an optical sensor, which results in very large images that can require a…

Astrophysics · Physics 2015-05-26 Jeremy Kepner

General-purpose multiprocessors (as, in our case, Intel IvyBridge and Intel Haswell) increasingly add GPU computing power to the former multicore architectures. When used for embedded applications (for us, Synthetic aperture radar) with…

Mathematical Software · Computer Science 2015-06-01 Mohamed Amine Bergach , Emilien Kofman , Robert de Simone , Serge Tissot , Michel Syska

Convolutional neural networks (CNNs) have a large number of variables and hence suffer from a complexity problem for their implementation. Different methods and techniques have developed to alleviate the problem of CNN's complexity, such as…

Computer Vision and Pattern Recognition · Computer Science 2020-04-07 Kamran Chitsaz , Mohsen Hajabdollahi , Nader Karimi , Shadrokh Samavi , Shahram Shirani

Photonic technologies have shown a promising way to build high-speed and high-energy-efficiency neural network accelerators. In previously presented photonic neural networks, architectures are mainly designed for fully-connected layers.…

Signal Processing · Electrical Eng. & Systems 2020-03-02 Shaofu Xu , Jing Wang , Weiwen Zou

Machine learning applied to computer vision and signal processing is achieving results comparable to the human brain on specific tasks due to the great improvements brought by the deep neural networks (DNN). The majority of state-of-the-art…

Computer Vision and Pattern Recognition · Computer Science 2020-06-30 José Augusto Stuchi , Levy Boccato , Romis Attux

FPGAs provide a flexible and efficient platform to accelerate rapidly-changing algorithms for computer vision. The majority of existing work focuses on accelerating image classification, while other fundamental vision problems, including…

Image and Video Processing · Electrical Eng. & Systems 2020-03-25 Qijing Huang , Dequan Wang , Yizhao Gao , Yaohui Cai , Zhen Dong , Bichen Wu , Kurt Keutzer , John Wawrzynek

In the field of digital signal processing, the fast Fourier transform (FFT) is a fundamental algorithm, with its processors being implemented using either the pipelined architecture, well-known for high-throughput applications but weak in…

Hardware Architecture · Computer Science 2025-01-03 Fangyu Zhao , Chunhua Xiao , Zhiguo Wang , Xiaohua Du , Bo Dong

Edge devices are being deployed at increasing volumes to sense and act on information from the physical world. The discrete Fourier transform (DFT) is often necessary to make this sensed data suitable for further processing -- such as by…

The last few years have seen a lot of work to address the challenge of low-latency and high-throughput convolutional neural network inference. Integrated photonics has the potential to dramatically accelerate neural networks because of its…

Hardware Architecture · Computer Science 2022-11-11 Shurui Li , Hangbo Yang , Chee Wei Wong , Volker J. Sorger , Puneet Gupta
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