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Multifractal Detrended Fluctuation Analysis stands out as one of the most reliable methods for unveiling multifractal properties, specially when real-world time series are under analysis. However, little is known about how several aspects,…

数据分析、统计与概率 · 物理学 2022-07-20 Felipe Olivares , Massimiliano Zanin

Physical systems with co-existence and interplay of processes featuring distinct spatio-temporal scales are found in various research areas ranging from studies of brain activity to astrophysics. Complexity of such systems makes their…

Singular spectrum analysis (SSA) is a nonparametric and adaptive spectral decomposition of a time series. The singular value decomposition of the trajectory matrix and the anti-diagonal averaging leads to a time-series decomposition. In…

数据结构与算法 · 计算机科学 2015-07-28 Kenji Kume , Naoko Nose-Togawa

This work presents a novel probabilistic interpretation of Slow Feature Analysis (SFA) through the lens of variational inference. Unlike prior formulations that recover linear SFA from Gaussian state-space models with linear emissions, this…

机器学习 · 计算机科学 2025-06-03 Merlin Schüler , Laurenz Wiskott

S5 0716+714 is a typical BL Lacertae object. In this paper we present the analysis and results of long term simultaneous observations in the radio, near-infrared, optical, X-ray and $\gamma$-ray bands, together with our own photometric…

高能天体物理现象 · 物理学 2015-06-18 N. H. Liao , J. M. Bai , H. T. Liu , S. S. Weng , Liang Chen , F. Li

Many astrophysical phenomena are time-varying, in the sense that their brightness change over time. In the case of periodic stars, previous approaches assumed that changes in period, amplitude, and phase are well described by either…

统计方法学 · 统计学 2022-02-02 Giovanni Motta , Darlin Soto , Márcio Catelan

High-resolution time-frequency (TF) analysis plays crucial role in characterizing multicomponent signal (MCSs) and estimating oscillatory properties. Linear time-frequency representations (TFRs) such as classical short-time Fourier…

信号处理 · 电气工程与系统科学 2023-12-12 Rayyan Abdalla

We study the ensemble optical variability of 276 FSRQs and 86 BL Lacs in the Palomar-QUEST Survey with the goal of searching for common fluctuation properties, examining the range of behavior across the sample, and characterizing the…

宇宙学与河外天体物理 · 物理学 2011-02-11 Anne Bauer , Charles Baltay , Paolo Coppi , Nancy Ellman , Jonathan Jerke , David Rabinowitz , Richard Scalzo

Small-angle scattering (SAS) of X-rays, neutrons or light from ensembles of randomly oriented and placed deterministic fractal structures are studied theoretically. In the standard analysis, a very few parameters can be determined from SAS…

软凝聚态物质 · 物理学 2019-07-24 A. Yu. Cherny , E. M. Anitas , V. A. Osipov , A. I. Kuklin

We study the gamma-ray variability of 13 blazars observed with the Fermi Large Area Telescope (LAT). These blazars have the most complete light curves collected during the first 4 years of the Fermi sky survey. We model them with the…

高能天体物理现象 · 物理学 2015-06-19 Malgorzata A. Sobolewska , Aneta Siemiginowska , Brandon C. Kelly , Krzysztof Nalewajko

The X-ray variability of the Active Galactic Nuclei (AGN) has been most often investigated with studies of individual, nearby, sources, and only a few ensemble analyses have been applied to large samples in wide ranges of luminosity and…

宇宙学与河外天体物理 · 物理学 2011-12-21 F. Vagnetti , S. Turriziani , D. Trevese

The shape of a focus-modulated point spread function (PSF) is used as a quick visual assessment tool of aberration modes in the PSF. Further analysis in terms of shape moments can permit quantifying the modal coefficients with an accuracy…

天体物理仪器与方法 · 物理学 2014-08-11 Hanshin Lee

We present results of variability study of a sample of 20 powerful blazars using Fermi/LAT (0.1--300 GeV) observations. We studied decade-long observations applying various analysis tools such as flux distribution, symmetry analysis, and…

高能天体物理现象 · 物理学 2021-07-27 Gopal Bhatta , Niraj Dhital

Spatial classification with limited feature observations has been a challenging problem in machine learning. The problem exists in applications where only a subset of sensors are deployed at certain spots or partial responses are collected…

机器学习 · 计算机科学 2020-09-03 Arpan Man Sainju , Wenchong He , Zhe Jiang , Da Yan , Haiquan Chen

The SED of blazars show significant curvature. In this paper, we study the curvature properties for a large sample of Fermi/LAT bright blazars based on quasi-simultaneous SED. Both SEDs of synchrotron and inverse Compton (IC) components are…

高能天体物理现象 · 物理学 2015-06-19 Liang Chen

Learning models have been shown to rely on spurious correlations between non-predictive features and the associated labels in the training data, with negative implications on robustness, bias and fairness. In this work, we provide a…

机器学习 · 统计学 2025-05-29 Simone Bombari , Marco Mondelli

This article establishes a rigorous spectral framework for the mathematical analysis of SHAP values. We show that any predictive model defined on a discrete or multi-valued input space admits a generalized Fourier expansion with respect to…

最优化与控制 · 数学 2025-11-04 Roberto Morales

Characteristic modes of arbitrary two-dimensional periodic systems are analyzed using scattering parameter data. This approach bypasses the need for periodic integral equations and allows for characteristic modes to be computed from generic…

应用物理 · 物理学 2023-10-11 Kurt Schab , Frederick Chen , Lukas Jelinek , Miloslav Capek , Johan Lundgren , Mats Gustafsson

We use data from a recent long ASCA observation of the Narrow Line Seyfert 1 Ark 564 to investigate in detail its timing properties. We show that a thorough analysis of the time series, employing techniques not generally applied to AGN…

天体物理学 · 物理学 2009-11-07 M. Gliozzi , W. Brinkmann , C. Raeth , I. E. Papadakis , H. Negoro , H. Scheingraber

In this review, recent progress in theoretical models for blazar emission will be summarized. The salient features of both leptonic and lepto-hadronic approaches to modeling blazar spectral energy distributions will be reviewed. I will…

高能天体物理现象 · 物理学 2010-06-28 Markus Boettcher