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We study time-series classification (TSC), a fundamental task of time-series data mining. Prior work has approached TSC from two major directions: (1) similarity-based methods that classify time-series based on the nearest neighbors, and…

Machine Learning · Computer Science 2022-01-07 Daochen Zha , Kwei-Herng Lai , Kaixiong Zhou , Xia Hu

The proposed system consists of a two-stage cascade. The first stage performs a rough heartbeat detection while the second stage refines the previous one, improving the temporal localization and also classifying the heartbeats into types S1…

Audio and Speech Processing · Electrical Eng. & Systems 2024-11-06 J. Torre-Cruz , D. Martinez-Munoz , N. Ruiz-Reyes , A. J. Munoz-Montoro , M. Puentes-Chiachio , F. J. Canadas-Quesada

This technical note is on digital filters for the high-fidelity estimation of a sinusoidal signal's frequency in the presence of additive noise. The complex noise is assumed to be white (i.e. uncorrelated) however it need not be Gaussian.…

Signal Processing · Electrical Eng. & Systems 2023-08-15 Hugh Lachlan Kennedy

Multimodal time series forecasting is crucial in real-world applications, where decisions depend on both numerical data and contextual signals. The core challenge is to effectively combine temporal numerical patterns with the context…

Machine Learning · Computer Science 2026-02-04 Huu Hiep Nguyen , Minh Hoang Nguyen , Dung Nguyen , Hung Le

This paper introduces a spectral analysis of time-seires data derived from real-time time-dependent density functional theory (TDDFT) using Singular Spectrum Analysis (SSA). TDDFT is a robust method for obtaining molecular excited states…

Computational Physics · Physics 2025-10-02 Naoki Tani , Satoru S. Kano , Yasunari Zempo

Time-frequency distributions have been used to provide high resolution representation in a large number of signal processing applications. However, high resolution and accurate instantaneous frequency (IF) estimation usually depend on the…

Information Theory · Computer Science 2015-03-02 Irena Orovic , Andjela Draganic , Srdjan Stankovic

Speech deepfake detection (SDD) is essential for maintaining trust in voice-driven technologies and digital media. Although recent SDD systems increasingly rely on self-supervised learning (SSL) representations that capture rich contextual…

Audio and Speech Processing · Electrical Eng. & Systems 2026-03-05 Cemal Hanilçi , Md Sahidullah , Tomi Kinnunen

We propose the Signal Dice Similarity Coefficient (SDSC), a structure-aware metric function for time series self-supervised representation learning. Most Self-Supervised Learning (SSL) methods for signals commonly adopt distance-based…

Machine Learning · Computer Science 2026-01-30 Jeyoung Lee , Hochul Kang

This paper introduces a new tool for time-series analysis: the Sliding Window Discrete Fourier Transform (SWDFT). The SWDFT is especially useful for time-series with local- in-time periodic components. We define a 5-parameter model for…

Methodology · Statistics 2018-07-23 Lee F. Richardson , William F. Eddy

Optical spectrum analysis is the cornerstone of spectroscopic sensing, optical network performance monitoring, and hyperspectral imaging. While conventional high-performance spectrometers used to perform such analysis are often large…

Applied Physics · Physics 2018-03-19 Derek M. Kita , Brando Miranda , David Favela , David Bono , Jerome Michon , Hongtao Lin , Tian Gu , Juejun Hu

The paper summarizes spectrogram and gives practical application of spectrogram in signal processing. For analysis, finger-snapping is recorded with a sampling rate of 441000 Hz and 96000 Hz. The effects of the number of segments on the…

Sound · Computer Science 2024-03-15 Zulfidin Khodzhaev

Interpretable classification of time series presents significant challenges in high dimensions. Traditional feature selection methods in the frequency domain often assume sparsity in spectral density matrices (SDMs) or their inverses, which…

Machine Learning · Statistics 2024-08-19 Sarbojit Roy , Malik Shahid Sultan , Hernando Ombao

Astronomers who search for periodic signals using Lomb-Scargle periodograms rely on false alarm level (FAL) estimates to identify statistically significant peaks. Although FALs are often calculated from white noise models, many astronomical…

Instrumentation and Methods for Astrophysics · Physics 2026-01-16 Amna Ejaz , Sarah Dodson-Robinson , Charlotte Haley

An exploit of the Sequential Importance Sampling (SIS) algorithm using Differential Algebra (DA) techniques is derived to develop an efficient particle filter. The filter creates an original kind of particles, called scout particles, that…

Information Theory · Computer Science 2024-08-21 Simone Servadio

We provide a detailed description of the Herschel-SPIRE Fourier Transform Spectrometer (FTS) Spectral Feature Finder (FF). The FF is an automated process designed to extract significant spectral features from SPIRE FTS data products.…

Instrumentation and Methods for Astrophysics · Physics 2020-06-24 R. Hopwood , I. Valtchanov , Locke D. Spencer , J. P. Scott , C. S. Benson , N. Marchili , N. Hladczuk , E. T. Polehampton , N. Lu , G. Makiwa , D. A. Naylor , B. G. Gom , G. Noble , M. J. Griffin

In this paper, we develop a method for the simultaneous estimation of spectral density functions (SDFs) for a collection of stationary time series that share some common features. Due to the similarities among the SDFs, the log-SDF can be…

Methodology · Statistics 2017-10-24 Mehdi Maadooliat , Ying Sun , Tianbo Chen

The SAMpler for PICosecond time (SAMPIC) chip has been designed by a collaboration including CEA/IRFU/SEDI, Saclay and CNRS/LAL/SERDI, Orsay. It benefits from both the quick response of a time to digital converter and the versatility of a…

The spectral density function describes the second-order properties of a stationary stochastic process on $\mathbb{R}^d$. This paper considers the nonparametric estimation of the spectral density of a continuous-time stochastic process…

Statistics Theory · Mathematics 2023-02-07 Rafail Kartsioukas , Stilian Stoev , Tailen Hsing

Despite the prevalence of reconstruction-based deep learning methods, time series anomaly detection remains a tremendous challenge. Existing approaches often struggle with limited temporal contexts, insufficient representation of normal…

Machine Learning · Computer Science 2025-07-16 Zhijie Zhong , Zhiwen Yu , Xing Xi , Yue Xu , Wenming Cao , Yiyuan Yang , Kaixiang Yang , Jane You

Imposing some flexible sampling scheme we provide some discretization of continuous time discrete scale invariant (DSI) processes which is a subsidiary discrete time DSI process. Then by introducing some simple random measure we provide a…

Methodology · Statistics 2016-06-22 S. Rezakhah , Y. Maleki