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In this paper, we consider the problem of distributed parameter estimation in sensor networks. Each sensor makes successive observations of an unknown $d$-dimensional parameter, which might be subject to Gaussian random noises. The sensors…

Signal Processing · Electrical Eng. & Systems 2025-01-20 Jiaqi Yan , Hideaki Ishii

Three aspects of time series are uncertainty (dispersion at a given time scale), scaling (time-scale dependence), and intermittency (inclination to change dynamics). Simple measures of dispersion are the mean absolute deviation and the…

Probability · Mathematics 2007-05-23 David R. Bickel

EEG time series are analyzed using the diffusion entropy method. The resulting EEG entropy manifests short-time scaling, asymptotic saturation and an attenuated alpha-rhythm modulation. These properties are faithfully modeled by a…

Data Analysis, Statistics and Probability · Physics 2009-02-09 M. Ignaccolo , M. Latka , W. Jernajczyk , P. Grigolini , B. J. West

The Transformer model has shown leading performance in time series forecasting. Nevertheless, in some complex scenarios, it tends to learn low-frequency features in the data and overlook high-frequency features, showing a frequency bias.…

Machine Learning · Computer Science 2024-07-04 Xihao Piao , Zheng Chen , Taichi Murayama , Yasuko Matsubara , Yasushi Sakurai

Extracting pulsive temporal patterns from a small dataset without their repetition or singularity shows significant importance in manufacturing applications but does not sufficiently attract scientific attention. We propose to quantify how…

Signal Processing · Electrical Eng. & Systems 2025-11-04 Yohei Kono , Yoshiyuki Tajima

In network embedding, random walks play a fundamental role in preserving network structures. However, random walk based embedding methods have two limitations. First, random walk methods are fragile when the sampling frequency or the number…

Machine Learning · Computer Science 2018-05-14 Yong Shi , Minglong Lei , Peng Zhang , Lingfeng Niu

The Mean Square Displacement is a central tool in the analysis of Single Particle Tracking experiments, shedding light on various biophysical phenomena. Frequently, parameters are extracted by performing time-averages on single particle…

Biological Physics · Physics 2013-05-24 Eldad Kepten Irena Bronshtein , Yuval Garini

We investigate the S/N of a new incoherent dedispersion algorithm optimized for FPGA-based architectures intended for deployment on ASKAP and other SKA precursors for fast transients surveys. Unlike conventional CPU- and GPU-optimized…

Instrumentation and Methods for Astrophysics · Physics 2015-06-12 Nathan Clarke , Jean-Pierre Macquart , Cathryn Trott

Diffusion models have demonstrated impressive generative capabilities, but their \textit{exposure bias} problem, described as the input mismatch between training and sampling, lacks in-depth exploration. In this paper, we systematically…

Machine Learning · Computer Science 2024-04-12 Mang Ning , Mingxiao Li , Jianlin Su , Albert Ali Salah , Itir Onal Ertugrul

The use of up to hundreds of antennas in massive multi-user (MU) multiple-input multiple-output (MIMO) orthogonal frequency division multiplexing (OFDM) poses a complexity challenge for digital predistortion (DPD) aiming to linearize the…

Signal Processing · Electrical Eng. & Systems 2024-10-25 Yibo Wu , Ulf Gustavsson , Mikko Valkama , Alexandre Graell i Amat , Henk Wymeersch

The recently proposed affine frequency division multiplexing (AFDM) modulation has been considered as a promising technology for narrowband doubly-dispersive channels. However, the time-scaling effects, i.e., pulse widening and pulse…

Performance · Computer Science 2025-07-08 Xiangxiang Li , Haiyan Wang , Yao Ge , Xiaohong Shen , Yong Liang Guan , Miaowen Wen , Chau Yuen

Entropy measures of probability distributions are widely used measures in ecology, biology, genetics, and in other fields, to quantify species diversity of a community. Unfortunately, entropy-based diversity indices, or diversity indices…

Populations and Evolution · Quantitative Biology 2014-08-14 Karim T. Abou-Moustafa

Many organisations manage service quality and monitor a large set devices and servers where each entity is associated with telemetry or physical sensor data series. Recently, various methods have been proposed to detect behavioural…

Social and Information Networks · Computer Science 2023-05-10 Len Feremans , Boris Cule , Bart Goethals

Free electrons in the interstellar medium cause frequency-dependent delays in pulse arrival times due to both scattering and dispersion. Multi-frequency measurements are used to estimate and remove dispersion delays. In this paper, we focus…

High Energy Astrophysical Phenomena · Physics 2015-06-23 M. T. Lam , J. M. Cordes , S. Chatterjee , T. Dolch

Radio emission propagating over an Earth-pulsar line of sight provides a unique probe of the intervening ionized interstellar medium (ISM). Variations in the integrated electron column density along this line of sight, or dispersion measure…

High Energy Astrophysical Phenomena · Physics 2020-04-08 M. T. Lam , T. J. W. Lazio , T. Dolch , M. L. Jones , M. A. McLaughlin , D. R. Stinebring , M. Surnis

Large language models (LLMs) achieve remarkable generative performance, yet their output quality is dependent on the decoding strategy. While sampling-based methods (e.g., top-k, nucleus) and search-and-select based methods (e.g., beam…

Machine Learning · Computer Science 2026-05-12 Benjamin Patrick Evans , Sumitra Ganesh , Leo Ardon

Dispersion-based photonics-assisted microwave measurement systems provide immense potential for real-time analysis of wideband and dynamic signals. However, they face two critical challenges: a difficulty in achieving high frequency…

Optics · Physics 2026-02-13 Chi Jiang , Taixia Shi , Hang Yang , Lei Gao , Xianxin Zhang , Yiqing Liu , Yang Chen

Anomaly detection in multivariate time series data is of paramount importance for ensuring the efficient operation of large-scale systems across diverse domains. However, accurately detecting anomalies in such data poses significant…

Machine Learning · Computer Science 2023-11-15 Yuhang Chen , Chaoyun Zhang , Minghua Ma , Yudong Liu , Ruomeng Ding , Bowen Li , Shilin He , Saravan Rajmohan , Qingwei Lin , Dongmei Zhang

This paper addresses compressed sensing of linear time-varying (LTV) wireless propagation links under the assumption of double sparsity i.e., sparsity in both the delay and Doppler domains, using Affine Frequency Division Multiplexing…

Information Theory · Computer Science 2024-07-04 Wissal Benzine , Ali Bemani , Nassar Ksairi , Dirk Slock

In this paper, we introduce a new adaptive data analysis method to study trend and instantaneous frequency of nonlinear and non-stationary data. This method is inspired by the Empirical Mode Decomposition method (EMD) and the recently…

Numerical Analysis · Mathematics 2012-02-28 Thomas Y. hou , Zuoqiang Shi
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