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Obtaining accurate field statistics continues to be one of the major challenges in turbulence theory and modeling. From the various existing modeling approaches, multifractal models have been successful in capturing intermittency in…

Due to the increasing complexity and interconnectedness of different components in modern automotive software systems there is a great number of interactions between these system components and their environment. These interactions result…

Applications · Statistics 2025-03-11 Bojan Lukić , Thorben Knust , Andreas Rausch

In this work we propose an adaptive multilevel version of subset simulation to estimate the probability of rare events for complex physical systems. Given a sequence of nested failure domains of increasing size, the rare event probability…

Numerical Analysis · Mathematics 2023-12-13 Daniel Elfverson , Robert Scheichl , Simon Weissmann , F. Alejandro DiazDelaO

X-ray observations of galaxy clusters provide insights on the nature of gaseous turbulent motions, their physical scales and on the fundamental processes they are related to. Spatially-resolved, high-resolution spectral measurements of…

Cosmology and Nongalactic Astrophysics · Physics 2019-09-25 N. Clerc , E. Cucchetti , E. Pointecouteau , P. Peille

In complex systems, the network of interactions we observe between system's components is the aggregate of the interactions that occur through different mechanisms or layers. Recent studies reveal that the existence of multiple interaction…

Physics and Society · Physics 2016-04-06 Toni Valles-Catala , Francesco A. Massucci , Roger Guimera , Marta Sales-Pardo

Various methods for leveraging turbulent fluctuation measurements from fusion plasma experiments are introduced, along with selected application examples. These can be categorized into spectral methods, statistical methods, and physics…

Plasma Physics · Physics 2025-10-27 Minjun J. Choi

Data series generated by complex systems exhibit fluctuations on many time scales and/or broad distributions of the values. In both equilibrium and non-equilibrium situations, the natural fluctuations are often found to follow a scaling…

Data Analysis, Statistics and Probability · Physics 2008-04-07 Jan W. Kantelhardt

An important aspect of astrophysical MHD turbulence research is developing diagnostics to connect simulations with the observable universe. Turbulent systems are by definition structurally complex in all fluid variables (density, velocity,…

Astrophysics · Physics 2007-05-23 Eve C. Ostriker

Structural magnetic resonance imaging (MRI) can be used to detect lesions in the brains of multiple sclerosis (MS) patients. The formation of these lesions is a complex process involving inflammation, tissue damage, and tissue repair, all…

An approach is suggested for treating multiscale fluctuations in macromolecular systems. The emphasis is on the statistical properties of such fluctuations. The approach is illustrated by a macromolecular system with mesoscopic fluctuations…

Chemical Physics · Physics 2012-08-07 V. I. Yukalov , E. P. Yukalova

Sequential recommendation systems aim to predict users' next preferences based on their interaction histories, but existing approaches face critical limitations in efficiency and multi-scale pattern recognition. While Transformer-based…

Information Retrieval · Computer Science 2025-05-08 Qianru Zhang , Liang Qu , Honggang Wen , Dong Huang , Siu-Ming Yiu , Nguyen Quoc Viet Hung , Hongzhi Yin

Multiple sclerosis (MS) is a chronic inflammatory and degenerative disease of the central nervous system, characterized by the appearance of focal lesions in the white and gray matter that topographically correlate with an individual…

Computer Vision and Pattern Recognition · Computer Science 2022-01-31 Yang Ma , Chaoyi Zhang , Mariano Cabezas , Yang Song , Zihao Tang , Dongnan Liu , Weidong Cai , Michael Barnett , Chenyu Wang

Segmenting gas bubbles in multiphase flows is a critical yet unsolved challenge in numerous industrial settings, from metallurgical processing to maritime drag reduction. Traditional approaches-and most recent learning-based methods-assume…

Computer Vision and Pattern Recognition · Computer Science 2025-08-08 Semanur Küçük , Cosimo Della Santina , Angeliki Laskari

Tabular data inherently exhibits significant feature heterogeneity, but existing transformer-based methods lack specialized mechanisms to handle this property. To bridge the gap, we propose MAYA, an encoder-decoder transformer-based…

Machine Learning · Computer Science 2025-09-23 Xuechen Li , Yupeng Li , Jian Liu , Xiaolin Jin , Xin Hu

In this paper, the line spectral estimation (LSE) problem with multiple measurement vectors (MMVs) is studied utilizing the Bayesian methods. Motivated by the recently proposed variational line spectral estimation (VALSE) method, we develop…

Information Theory · Computer Science 2018-11-29 Jiang Zhu , Qi Zhang , Peter Gerstoft , Mihai-Alin Badiu , Zhiwei Xu

We propose an alternative formulation of structure functions for the velocity field in fully developed turbulence. Instead of averaging moments of the velocity differences as a function of the distance, we suggest to average moments of the…

chao-dyn · Physics 2009-10-31 Mogens H. Jensen

Deep learning-based motion deblurring techniques have advanced significantly in recent years. This class of techniques, however, does not carefully examine the inherent flaws in blurry images. For instance, low edge and structural…

Computer Vision and Pattern Recognition · Computer Science 2024-05-03 Nianzu Qiao , Lamei Di , Changyin Sun

Despite rapid progress in scene segmentation in recent years, 3D segmentation methods are still limited when there is severe occlusion. The key challenge is estimating the segment boundaries of (partially) occluded objects, which are…

Robotics · Computer Science 2021-04-02 Andrew Price , Kun Huang , Dmitry Berenson

The paper algorithmizes the problem of regime change point identification for data measured in a system exhibiting impulsive behaviors. This is a fundamental challenge for annotation of measurement data relevant, e.g., for designing…

Multiple sequence alignment (MSA) is a fundamental and ubiquitous technique in bioinformatics used to infer related residues among biological sequences. Thus alignment accuracy is crucial to a vast range of analyses, often in ways difficult…

Quantitative Methods · Quantitative Biology 2015-01-09 Stefano Iantorno , Kevin Gori , Nick Goldman , Manuel Gil , Christophe Dessimoz