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Time series anomaly detection is critical for system monitoring and risk identification, across various domains, such as finance and healthcare. However, for most reconstruction-based approaches, detecting anomalies remains a challenge due…

Machine Learning · Computer Science 2025-05-13 Wenxin Zhang , Ding Xu , Guangzhen Yao , Xiaojian Lin , Renxiang Guan , Chengze Du , Renda Han , Xi Xuan , Cuicui Luo

We consider finite approximations of a fractal generated by an iterated function system of affine transformations on $\mathbb{R}^d$ as a discrete set of data points. Considering a signal supported on this finite approximation, we propose a…

Functional Analysis · Mathematics 2016-07-14 Calvin Hotchkiss , Eric S. Weber

This paper investigates the problem of dim frequency line detection and recovery in the so-called lofargram. Theoretically, time integration long enough can always enhance the detection characteristic. But this does not hold for irregularly…

Signal Processing · Electrical Eng. & Systems 2020-12-02 Yina Han , Yuyan Li , Qingyu Liu , Yuanliang Ma

Functional linear discriminant analysis (FLDA) is a powerful tool that extends LDA-mediated multiclass classification and dimension reduction to univariate time-series functions. However, in the age of large multivariate and incomplete…

Machine Learning · Computer Science 2026-04-23 Rahul Bordoloi , Clémence Réda , Orell Trautmann , Saptarshi Bej , Olaf Wolkenhauer

We describe an algorithm for simulating ultrasound propagation in random one-dimensional media, mimicking different microstructures by choosing physical properties such as domain sizes and mass densities from probability distributions. By…

Data Analysis, Statistics and Probability · Physics 2015-06-11 Paulo G. Normando , Romao S. Nascimento , Elineudo P. Moura , Andre P. Vieira

Fourier and related transforms is a family of algorithms widely employed in diverse areas of computational science, notoriously difficult to scale on high-performance parallel computers with large number of processing elements (cores). This…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-09 Dmitry Pekurovsky

Software vulnerability detection can be formulated as a binary classification problem that determines whether a given code snippet contains security defects. Existing multimodal methods typically fuse Natural Code Sequence (NCS)…

Software Engineering · Computer Science 2026-04-24 Yun Bian , Yi Chen , HaiQuan Wang , ShiHao Li , Zhe Cui

The library scikit-fda is a Python package for Functional Data Analysis (FDA). It provides a comprehensive set of tools for representation, preprocessing, and exploratory analysis of functional data. The library is built upon and integrated…

Advanced deepfake technologies are blurring the lines between real and fake, presenting both revolutionary opportunities and alarming threats. While it unlocks novel applications in fields like entertainment and education, its malicious use…

Computer Vision and Pattern Recognition · Computer Science 2026-04-21 Qihao Shen , Jiaxing Xuan , Zhenguang Liu , Sifan Wu , Yutong Xie , Zhaoyan Ming , Yingying Jiao , kui Ren

Mining time-frequency features is critical for time series forecasting. Existing research has predominantly focused on modeling low-frequency patterns, where most time series energy is concentrated. The overlooking of mid to high frequency…

Machine Learning · Computer Science 2026-03-11 Boya Zhang , Shuaijie Yin , Huiwen Zhu , Xing He

The Radio frequency (RF) fingerprinting technique makes highly secure device authentication possible for future networks by exploiting hardware imperfections introduced during manufacturing. Although this technique has received considerable…

Artificial Intelligence · Computer Science 2023-02-23 Chuanting Zhang , Shuping Dang , Junqing Zhang , Haixia Zhang , Mark A. Beach

The scope of data-driven fault diagnosis models is greatly extended through deep learning (DL). However, the classical convolution and recurrent structure have their defects in computational efficiency and feature representation, while the…

Artificial Intelligence · Computer Science 2021-12-07 Yifei Ding , Minping Jia , Qiuhua Miao , Yudong Cao

Variational inference is an increasingly popular method in statistics and machine learning for approximating probability distributions. We developed LINFA (Library for Inference with Normalizing Flow and Annealing), a Python library for…

Machine Learning · Computer Science 2023-07-17 Yu Wang , Emma R. Cobian , Jubilee Lee , Fang Liu , Jonathan D. Hauenstein , Daniele E. Schiavazzi

Multivariate time series (MTS) analysis prevails in real-world applications such as finance, climate science and healthcare. The various self-attention mechanisms, the backbone of the state-of-the-art Transformer-based models, efficiently…

Machine Learning · Computer Science 2023-11-21 Quang Minh Nguyen , Lam M. Nguyen , Subhro Das

In order to enhance the performance of Transformer models for long-term multivariate forecasting while minimizing computational demands, this paper introduces the Joint Time-Frequency Domain Transformer (JTFT). JTFT combines time and…

Machine Learning · Computer Science 2023-10-31 Yushu Chen , Shengzhuo Liu , Jinzhe Yang , Hao Jing , Wenlai Zhao , Guangwen Yang

Integrative analysis of multivariate functional time series (MFTS) is both critical and challenging across many scientific domains. Such data often exhibit complex multi-way dependencies arising from within-curve structures, temporal…

Methodology · Statistics 2026-03-25 Zerui Guo , Jianbin Tan , Hui Huang

RF data-driven device fingerprinting through the use of deep learning has recently surfaced as a possible method for enabling secure device identification and authentication. Traditional approaches are commonly susceptible to the domain…

Cryptography and Security · Computer Science 2024-02-16 Benjamin Johnson , Bechir Hamdaoui

A joint frame and carrier frequency synchronization algorithm for coherent optical systems, based on the digital computation of the fractional Fourier transform (FRFT), is proposed. The algorithm utilizes the characteristics of energy…

Signal Processing · Electrical Eng. & Systems 2018-01-08 Oluyemi Omomukuyo , Shu Zhang , Octavia Dobre , Ramachandran Venkatesan , Telex M. N. Ngatched

Multifractal analysis (MFA) is a useful tool to systematically describe the spatial heterogeneity of both theoretical and experimental fractal patterns. One of the widely used methods for fractal analysis is box-covering. It is known to be…

Physics and Society · Physics 2021-04-14 Yuemin Ding , Jin-Long Liu , Xiaohui Li , Yu-Chu Tian , Zu-Guo Yu

Time-frequency representations (TFRs) of signals, such as the windowed Fourier transform (WFT), wavelet transform (WT) and their synchrosqueezed variants (SWFT, SWT), provide powerful analysis tools. However, there are many important issues…

Numerical Analysis · Mathematics 2014-05-27 Dmytro Iatsenko , Peter V. E. McClintock , Aneta Stefanovska