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Graph signal processing (GSP) advances spectral analysis on irregular domains. However, existing two-dimensional graph fractional Fourier transform (2D-GFRFT) employs a single fractional order for both factor graphs, thereby limiting its…

Signal Processing · Electrical Eng. & Systems 2025-10-14 Mingzhi Wang , Zhichao Zhang

In this paper, we propose a novel Discrete Cosine Transform (DCT)-based neural network layer which we call DCT-perceptron to replace the $3\times3$ Conv2D layers in the Residual neural Network (ResNet). Convolutional filtering operations…

Computer Vision and Pattern Recognition · Computer Science 2022-11-17 Hongyi Pan , Xin Zhu , Salih Atici , Ahmet Enis Cetin

The Vision Transformer has emerged as a powerful tool for image classification tasks, surpassing the performance of convolutional neural networks (CNNs). Recently, many researchers have attempted to understand the robustness of Transformers…

Computer Vision and Pattern Recognition · Computer Science 2023-12-18 Gihyun Kim , Juyeop Kim , Jong-Seok Lee

This paper proposes a Decision Tree (DT) based detection and classification of internal faults in a power transformer. The faults are simulated in Power System Computer Aided Design (PSCAD)/ Electromagnetic Transients including DC (EMTDC)…

Signal Processing · Electrical Eng. & Systems 2021-06-01 Samita Rani Pani , Pallav Kumar Bera , Vajendra Kumar

The emergence of deep learning has yielded noteworthy advancements in time series forecasting (TSF). Transformer architectures, in particular, have witnessed broad utilization and adoption in TSF tasks. Transformers have proven to be the…

Machine Learning · Computer Science 2023-11-01 Liyilei Su , Xumin Zuo , Rui Li , Xin Wang , Heng Zhao , Bingding Huang

In this work, we propose an algorithm for a filter based on the Fast Fourier Transform (FFT), which, due to its characteristics, allows for an efficient computational implementation, ease of use, and minimizes amplitude variation in the…

Numerical Analysis · Mathematics 2024-07-19 Flavio Dalossa Freire , Isabel Gebauer Soares

Exploiting low-rank structure of the user-item rating matrix has been the crux of many recommendation engines. However, existing recommendation engines force raters with heterogeneous behavior profiles to map their intrinsic rating scales…

Information Retrieval · Computer Science 2019-03-29 Gaurush Hiranandani , Raghav Somani , Oluwasanmi Koyejo , Sreangsu Acharyya

Fully test-time adaptation aims to adapt a network model online based on sequential analysis of input samples during the inference stage. We observe that, when applying a transformer network model into a new domain, the self-attention…

Computer Vision and Pattern Recognition · Computer Science 2024-10-15 Yushun Tang , Shuoshuo Chen , Jiyuan Jia , Yi Zhang , Zhihai He

Deep learning-based vulnerability detection has shown great performance and, in some studies, outperformed static analysis tools. However, the highest-performing approaches use token-based transformer models, which are not the most…

Software Engineering · Computer Science 2023-10-03 Benjamin Steenhoek , Hongyang Gao , Wei Le

We study the problem of constructing a graph Fourier transform (GFT) for directed graphs (digraphs), which decomposes graph signals into different modes of variation with respect to the underlying network. Accordingly, to capture low,…

Spectral Theory · Mathematics 2017-06-01 Rasoul Shafipour , Ali Khodabakhsh , Gonzalo Mateos , Evdokia Nikolova

In graph signal processing, many studies assume that the underlying network is undirected. Although the digraph model is rarely adopted, it is more appropriate for many applications, especially for real world networks. In this paper, we…

General Mathematics · Mathematics 2022-10-11 Fang-Jia Yan , Bing-Zhao Li

Cross-domain crowd counting (CDCC) is a hot topic due to its importance in public safety. The purpose of CDCC is to alleviate the domain shift between the source and target domain. Recently, typical methods attempt to extract…

Computer Vision and Pattern Recognition · Computer Science 2021-01-15 Qi Wang , Tao Han , Junyu Gao , Yuan Yuan

Feature Transformation is crucial for classic machine learning that aims to generate feature combinations to enhance the performance of downstream tasks from a data-centric perspective. Current methodologies, such as manual expert-driven…

Machine Learning · Computer Science 2025-03-27 Tianqi He , Xiaohan Huang , Yi Du , Qingqing Long , Ziyue Qiao , Min Wu , Yanjie Fu , Yuanchun Zhou , Meng Xiao

Time series analysis is crucial in fields like finance, economics, environmental science, and biomedical engineering, aiding in forecasting, pattern identification, and understanding underlying mechanisms. While traditional time-domain…

Methodology · Statistics 2024-08-21 Jonathan de Souza Matias , Valderio Anselmo Reisen

In this paper we introduce activation functions that move the entire computation of Convolutional Networks into the frequency domain, where they are actually Hadamard Networks. To achieve this result we employ the properties of Discrete…

Optimization and Control · Mathematics 2018-10-30 Marcel Crasmaru

Deep neural networks (DNNs) are vulnerable to adversarial examples with small perturbations. Adversarial defense thus has been an important means which improves the robustness of DNNs by defending against adversarial examples. Existing…

Machine Learning · Computer Science 2021-03-16 Jincheng Li , Jiezhang Cao , Yifan Zhang , Jian Chen , Mingkui Tan

Unsupervised Domain Adaptation (UDA) aims to leverage a label-rich source domain to solve tasks on a related unlabeled target domain. It is a challenging problem especially when a large domain gap lies between the source and target domains.…

Computer Vision and Pattern Recognition · Computer Science 2022-04-19 Tao Sun , Cheng Lu , Tianshuo Zhang , Haibin Ling

MLP-like models built entirely upon multi-layer perceptrons have recently been revisited, exhibiting the comparable performance with transformers. It is one of most promising architectures due to the excellent trade-off between network…

Computer Vision and Pattern Recognition · Computer Science 2022-03-25 Kecheng Zheng , Yang Cao , Kai Zhu , Ruijing Zhao , Zheng-Jun Zha

Time series synthesis is an effective approach to ensuring the secure circulation of time series data. Existing time series synthesis methods typically perform temporal modeling based on random sequences to generate target sequences, which…

Machine Learning · Computer Science 2025-09-01 Xuan Hou , Shuhan Liu , Zhaohui Peng , Yaohui Chu , Yue Zhang , Yining Wang

To study the dynamical behaviour of the engineering and physical systems, we often need to capture their continuous behaviour, which is modeled using differential equations, and perform the frequency-domain analysis of these systems.…

Logic in Computer Science · Computer Science 2017-08-01 Adnan Rashid , Osman Hasan