Two-Sided Clifford-Valued Special Affine Fourier Transform: Properties and Associated Convolution by Shahbaz Rafiq, M. Younus Bhat

“…Finally we culminate our investigation by deriving the convolution for this newly proposed transform.…”
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Analysis of scalar fields with series convolution by Emir Baysazan, Tolga Birkandan, İsmail Eyüphan Ünver

“…In the cases where such transformations are not available, the infinite series expansions of these functions can be convoluted with the power series solution ansatz. We study such an example where the solution is based on a special function.…”
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Certain classes of harmonic functions pertaining to special functions by G. Murugusundaramoorthy, K. Vijaya, K. Thilagavathi

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Graph convolution network for fraud detection in bitcoin transactions by Ahmad Asiri, K. Somasundaram

“…We have run different algorithms for predicting illicit transactions like Logistic Regression, Long Short Term Memory, Support Vector Machine, Random Forest, and a variation of Graph Neural Networks, which is called Graph Convolution Network (GCN). GCN is of special interest in our case. …”
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A convolutional autoencoder framework for ECG signal analysis by Ugo Lomoio, Patrizia Vizza, Raffaele Giancotti, Salvatore Petrolo, Sergio Flesca, Fabiola Boccuto, Pietro Hiram Guzzi, Pierangelo Veltri, Giuseppe Tradigo

“…Analysis of time varying signals may be done by using autoencoders (AEs) deep neural networks. AE specialized for signal data, named Convolutional Autoencoder (CAE), showed the best performances in the analysis of ECG signals.This paper presents a CAE-based framework for ECG signal analysis and anomaly identification. …”
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New data about library service quality and convolution prediction by Minh Tuan Nguyen, Meesad Phayung, Van Hieu Duong, Maliyaem Maleerat

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New data about library service quality and convolution prediction by Minh Tuan Nguyen, Meesad Phayung, Van Hieu Duong, Maliyaem Maleerat

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The Laguerre transform of a convolution product of vector-valued functions. by A. O. Muzychuk

“…The Laguerre transform is applied to the convolution product of functions of a real argument (over the time axis) with values in Hilbert spaces. …”
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Klasifikasi Penyakit Pneumonia menggunakan Metode Convolutional Neural Network (CNN) by irfan office

“…COVID-19 pneumonia is a serious condition that requires special attention because of its contagious nature and its severe symptoms, including high fever, difficulty breathing, and lack of oxygen. …”
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AFD: Defending Convolutional Neural Networks Without Using Adversarial Samples by Nupur Thakur, Yuzhen Ding, Baoxin Li

“…In this paper, we present a novel training strategy named Adversarial-Free Defense (AFD), which introduces a minimal change to a network architecture (by modifying the first convolution layer) while employing a learning algorithm that leads to special properties of the first-layer kernels. …”
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Image-Based Iron Slag Segmentation via Graph Convolutional Networks by Wang Long, Zheng Junfeng, Yu Hong, Ding Meng, Li Jiangyun

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Crop classification with deep convolutional neural network based on crop feature by Mohamad Reza Gili, Davoud Ashourloo, Hosein Aghighi, Ali Akbar Matkan, Alireza SHakiba

“…In the next step, the functions that were developed as phenological features for crops were applied on the time series of the bands, and for each crop, a feature channel was obtained as the special feature of that crop. Then the algorithm was implemented using these feature channels in the test area and the overall accuracy was upgraded to 86% and the kappa coefficient to 0.82 compared to which indicated a significant improvement in the results compared to the previous case.Conclusion:The deep convolutional neural network is very sensitive to the type of input channels for detecting agricultural crops and selecting the channels with suitable tempo-spectral characteristics for different types of crops, has a great impact on the accuracy of network training and can reduce the loss of training network and increase its efficiency in the classification of various crops.…”
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On-Chip Photonic Convolutional Processing Lights Up Fourier Neural Operator by Zilong Tao, Hao Ouyang, Qiuquan Yan, Shiyin Du, Hao Hao, Jun Zhang, Jie You

“…On the Radio ML 2016.10b dataset, our Fourier convolutional neural network achieves a peak identification accuracy of 95.50%, outperforming standard convolution-based networks. …”
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SAGCN: Self-Attention Graph Convolutional Network for Human Pose Embedding by Zhongxiong Xu, Jiajun Hong, Yicong Yu, Chengzhu Lin, Linfei Yu, Meixian Xu

“…While traditional convolutional neural networks (CNNs) have advanced pose feature extraction, they struggle to model structural relationships and long-range dependencies between keypoints, and are less robust to occlusions. …”
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Convolutional sparse coding network for sparse seismic time-frequency representation by Qiansheng Wei, Zishuai Li, Haonan Feng, Yueying Jiang, Yang Yang, Zhiguo Wang

“…In this design, we replace the conventional convolutional layers of the UNet with learnable iterative shrinkage thresholding algorithm (LISTA) blocks, a specialized form of CSC. …”
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Sparse Convolution FPGA Accelerator Based on Multi-Bank Hash Selection by Jia Xu, Han Pu, Dong Wang

“…The main contributions are as follows: (1) Most neural network inference tasks are typically executed on general-purpose computing devices, which often fail to deliver high energy efficiency and are not well-suited for accelerating sparse convolutional models. In this work, we propose a specialized computational circuit for the convolutional operations of sparse neural networks. …”
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Voice activity detection in noisy conditions using tiny convolutional neural network by R. S. Vashkevich, E. S. Azarov

“…The properties of the model are achieved by using a special convolutional layer that considers the harmonic structure of vocal speech. …”
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EFCNet: Expert Feature-Based Convolutional Neural Network for SAR Ship Detection by Zheng Chen, Yuxiang Zhang, Jing Bai, Biao Hou

“…Due to the special properties of synthetic aperture radar (SAR) images, they are widely used in maritime applications, such as detecting ships at sea. …”
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Application of the Algebraic Extension Method to the Construction of Orthogonal Bases for Partial Digital Convolutions by Aruzhan Kadyrzhan, Akhat Bakirov, Dina Shaltykova, Ibragim Suleimenov

“…Mathematical tools have been developed that are analogous to the tool that allows one to reduce the description of linear systems in terms of convolution operations to a description in terms of amplitude-frequency characteristics. …”
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Fast computation of cyclic convolutions and their applications in code-based asymmetric encryption schemes by Andrey N. Sushko, Boris Y. Steinberg, Kirill V. Vedenev, Anton A. Glukhikh, Yury V. Kosolapov

“…The proposed algorithms achieve high speed by compactly storing sparse vectors, using hardware-supported XOR instructions, and replacing modulo operations with specialized loop transformations. These fast algorithms have potential applications not only in cryptography, but also in other areas where convolutions are used.…”
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