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The graph fractional Fourier transform (GFRFT) applies a single global fractional order to all graph frequencies, which restricts its adaptability to diverse signal characteristics across the spectral domain. To address this limitation, in…

Signal Processing · Electrical Eng. & Systems 2025-08-01 Manjun Cui , Zhichao Zhang , Wei Yao

A deep convolutional fuzzy system (DCFS) on a high-dimensional input space is a multi-layer connection of many low-dimensional fuzzy systems, where the input variables to the low-dimensional fuzzy systems are selected through a moving…

Statistical Finance · Quantitative Finance 2019-08-13 Li-Xin Wang

In this paper, we introduce a new method for calculating fractional integrals and differentials. The method involves an equation that we have obtained from infinite applied integration by parts. The equation works for special class of…

General Mathematics · Mathematics 2023-09-08 Oleg Yaremko , Andrey Yachmenev

Artificial intelligence is making great changes in academy and industry with the fast development of deep learning, which is a branch of machine learning and statistical learning. Fully convolutional network [1] is the standard model for…

Computer Vision and Pattern Recognition · Computer Science 2017-09-05 Yichi Gu , Qisheng Wu , Jing Li , Kai Cheng

This work proposes a general-purpose, fully-convolutional network architecture for efficiently processing large-scale 3D data. One striking characteristic of our approach is its ability to process unorganized 3D representations such as…

Computer Vision and Pattern Recognition · Computer Science 2018-08-22 Dario Rethage , Johanna Wald , Jürgen Sturm , Nassir Navab , Federico Tombari

The Fractional Fourier Transform is a ubiquitous signal processing tool in basic and applied sciences. The Fractional Fourier Transform generalizes every property and application of the Fourier Transform. Despite the practical importance of…

Signal Processing · Electrical Eng. & Systems 2020-10-21 Amir R. Nafchi , Eric Hamke , Cristina Pereyra , Ramiro Jordan

Segmentation is a critical step in medical image analysis. Fully Convolutional Networks (FCNs) have emerged as powerful segmentation models achieving state-of-the-art results in various medical image datasets. Network architectures are…

Image and Video Processing · Electrical Eng. & Systems 2019-07-29 Maria G. Baldeon Calisto , Susana K. Lai-Yuen

In this paper, we present a conceptually simple, strong, and efficient framework for fully- and weakly-supervised panoptic segmentation, called Panoptic FCN. Our approach aims to represent and predict foreground things and background stuff…

Computer Vision and Pattern Recognition · Computer Science 2022-10-14 Yanwei Li , Hengshuang Zhao , Xiaojuan Qi , Yukang Chen , Lu Qi , Liwei Wang , Zeming Li , Jian Sun , Jiaya Jia

Convolutions are the fundamental building block of CNNs. The fact that their weights are spatially shared is one of the main reasons for their widespread use, but it also is a major limitation, as it makes convolutions content agnostic. We…

Computer Vision and Pattern Recognition · Computer Science 2019-04-12 Hang Su , Varun Jampani , Deqing Sun , Orazio Gallo , Erik Learned-Miller , Jan Kautz

Deep fully convolutional neural network (FCN) based architectures have shown great potential in medical image segmentation. However, such architectures usually have millions of parameters and inadequate number of training samples leading to…

Computer Vision and Pattern Recognition · Computer Science 2018-01-17 Mahendra Khened , Varghese Alex Kollerathu , Ganapathy Krishnamurthi

This paper extends the fully recursive perceptron network (FRPN) model for vectorial inputs to include deep convolutional neural networks (CNNs) which can accept multi-dimensional inputs. A FRPN consists of a recursive layer, which, given a…

Computer Vision and Pattern Recognition · Computer Science 2020-01-17 Alberto Rossi , Markus Hagenbuchner , Franco Scarselli , Ah Chung Tsoi

Convolutional neural networks were the standard for solving many computer vision tasks until recently, when Transformers of MLP-based architectures have started to show competitive performance. These architectures typically have a vast…

Computer Vision and Pattern Recognition · Computer Science 2022-10-14 Peter Kocsis , Peter Súkeník , Guillem Brasó , Matthias Nießner , Laura Leal-Taixé , Ismail Elezi

This work presents a method to implement fully convolutional neural networks (FCNs) on Pixel Processor Array (PPA) sensors, and demonstrates coarse segmentation and object localisation tasks. We design and train binarized FCN for both…

Computer Vision and Pattern Recognition · Computer Science 2022-06-14 Yanan Liu , Laurie Bose , Yao Lu , Piotr Dudek , Walterio Mayol-Cuevas

Fast Fourier convolution (FFC) is the recently proposed neural operator showing promising performance in several computer vision problems. The FFC operator allows employing large receptive field operations within early layers of the neural…

Sound · Computer Science 2022-04-08 Ivan Shchekotov , Pavel Andreev , Oleg Ivanov , Aibek Alanov , Dmitry Vetrov

Even though convolutional neural networks (CNN) has achieved near-human performance in various computer vision tasks, its ability to tolerate scale variations is limited. The popular practise is making the model bigger first, and then train…

Computer Vision and Pattern Recognition · Computer Science 2014-11-25 Yichong Xu , Tianjun Xiao , Jiaxing Zhang , Kuiyuan Yang , Zheng Zhang

A fractal surface is a set which is a graph of a bivariate continuous function. In the construction of fractal surfaces using IFS, vertical scaling factors in IFS are important one which characterizes a fractal feature of surfaces…

Dynamical Systems · Mathematics 2014-04-07 Chol-Hui Yun , Hui-Chol Choi , Hyong-Chol O

The morphological structure of left ventricle segmented from cardiac magnetic resonance images can be used to calculate key clinical parameters, and it is of great significance to the accurate and efficient diagnosis of cardiovascular…

Computer Vision and Pattern Recognition · Computer Science 2018-09-28 Han Kang , Defeng Chen

For the challenging semantic image segmentation task the most efficient models have traditionally combined the structured modelling capabilities of Conditional Random Fields (CRFs) with the feature extraction power of CNNs. In more recent…

Computer Vision and Pattern Recognition · Computer Science 2018-05-16 Marvin T. T. Teichmann , Roberto Cipolla

Mass segmentation provides effective morphological features which are important for mass diagnosis. In this work, we propose a novel end-to-end network for mammographic mass segmentation which employs a fully convolutional network (FCN) to…

Computer Vision and Pattern Recognition · Computer Science 2017-12-27 Wentao Zhu , Xiang Xiang , Trac D. Tran , Gregory D. Hager , Xiaohui Xie

The nonuniform fast Fourier transform (NUFFT) generalizes the FFT to off-grid data. Its many applications include image reconstruction, data analysis, and the numerical solution of differential equations. We present FINUFFT, an efficient…

Numerical Analysis · Mathematics 2019-04-10 Alex H. Barnett , Jeremy F. Magland , Ludvig af Klinteberg