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Quantifying frictional properties of interfaces remains a major challenge in both terrestrial and extraterrestrial geomechanics, where available samples, laboratory apparatuses, and geophysical observations are inherently limited. We…

Geophysics · Physics 2025-12-03 David Michael Riley , Diego Gutiérrez-Oribio , Ioannis Stefanou

Phase retrieval from phaseless short-time Fourier transform (STFT) measurements is known to be inherently unstable when measurements are taken with respect to a single window. While an explicit inversion formula exists, it is useless in…

Functional Analysis · Mathematics 2025-06-19 Rima Alaifari , Yunan Yang

The brain is often studied from a network perspective, where functional activity is assessed using functional Magnetic Resonance Imaging (fMRI) to estimate connectivity between predefined neuronal regions. Functional connectivity can be…

Applications · Statistics 2025-07-22 Olivier Bisson , Yanis Aeschlimann , Samuel Deslauriers-Gauthier , Xavier Pennec

As the proportion of renewable energy and power electronics in the power system increases, modeling frequency dynamics under power deficits becomes more challenging. Although data-driven methods help mitigate these challenges, they are…

Systems and Control · Electrical Eng. & Systems 2025-12-11 Qianni Cao , Chen Shen

In recent years, there has been strong interest in neuroscience studies to investigate brain organization through networks of brain regions that demonstrate strong functional connectivity (FC). These networks are extracted from observed…

Applications · Statistics 2017-03-14 Phebe Brenne Kemmer , F. DuBois Bowman , Helen Mayberg , Ying Guo

Many real-world scale-free networks, such as neural networks and online communication networks, consist of a fixed number of nodes but exhibit dynamic edge fluctuations. However, traditional models frequently overlook scenarios where the…

Social and Information Networks · Computer Science 2026-04-02 Yichao Yao , Minyu Feng , Matjaž Perc , Jürgen Kurths

Challenges in the discrete implementation of sliding-mode controllers (SMC) with barrier-function-based adaptations are analyzed, revealing fundamental limitations in conventional design frameworks. It is shown that under uniform sampling,…

Systems and Control · Electrical Eng. & Systems 2025-02-24 Luis Ovalle , Andrés González , Leonid Fridman , Hernan Haimovich

By calculating the linear response of packings of soft frictionless discs to quasistatic external perturbations, we investigate the critical scaling behavior of their elastic properties and non-affine deformations as a function of the…

Soft Condensed Matter · Physics 2010-01-20 Wouter G. Ellenbroek , Martin van Hecke , Wim van Saarloos

Resting-state functional magnetic resonance imaging (fMRI) has emerged as a pivotal tool for revealing intrinsic brain network connectivity and identifying neural biomarkers of neuropsychiatric conditions. However, classical self-attention…

Image and Video Processing · Electrical Eng. & Systems 2025-09-03 Junghoon Justin Park , Jungwoo Seo , Sangyoon Bae , Samuel Yen-Chi Chen , Huan-Hsin Tseng , Jiook Cha , Shinjae Yoo

Fractals are self-similar and scale-invariant patterns found ubiquitously in nature. A lot of evidences implying fractal properties such as 1/f power spectrums have been also observed in resting state fMRI time series. To explain the…

Applications · Statistics 2012-08-07 Wonsang You , Jörg Stadler

The stability of nonrelativistic fermionic systems to interactions is studied within the Renormalization Group framework. A brief introduction to $\phi^4$ theory in four dimensions and the path integral formulation for fermions is given.…

Condensed Matter · Physics 2009-10-22 R. Shankar

Resting state functional connectivity estimates from MRI measures has become a promising tool to characterize human brain networks. There are, however, limitations in the method since several sources of errors have been seen to…

Neurons and Cognition · Quantitative Biology 2016-03-04 Pouya Ghaemmaghami

The selective frequency damping (SFD) method is an alternative to classical Newton's method to obtain unstable steady-state solutions of dynamical systems. However this method has two main limitations: it does not converge for arbitrary…

Fluid Dynamics · Physics 2015-10-28 Bastien E. Jordi , Colin J. Cotter , Spencer J. Sherwin

Accurate fMRI analysis requires sensitivity to temporal structure across multiple scales, as BOLD signals encode cognitive processes that emerge from fast transient dynamics to slower, large-scale fluctuations. Existing deep learning (DL)…

Signal Processing · Electrical Eng. & Systems 2026-01-06 Furkan Genç , Boran İsmet Macun , Sait Sarper Özaslan , Emine U. Saritas , Tolga Çukur

This study applies Empirical Mode Decomposition (EMD) to the MSCI World index and converts the resulting intrinsic mode functions (IMFs) into graph representations to enable modeling with graph neural networks (GNNs). Using CEEMDAN, we…

Machine Learning · Computer Science 2025-12-16 Agustín M. de los Riscos , Julio E. Sandubete , Diego Carmona-Fernández , León Beleña

Functional magnetic resonance imaging (fMRI) is a non-invasive and in-vivo imaging technique essential for measuring brain activity. Functional connectivity is used to study associations between brain regions, either while study subjects…

Applications · Statistics 2024-03-26 Kun Meng , Ani Eloyan

Tractography fiber clustering using diffusion MRI (dMRI) is a crucial method for white matter (WM) parcellation to enable analysis of brains structural connectivity in health and disease. Current fiber clustering strategies primarily use…

Image and Video Processing · Electrical Eng. & Systems 2025-11-04 Bocheng Guo , Jin Wang , Yijie Li , Junyi Wang , Mingyu Gao , Puming Feng , Yuqian Chen , Jarrett Rushmore , Nikos Makris , Yogesh Rathi , Lauren J O'Donnell , Fan Zhang

In the last two decades, functional magnetic resonance imaging (fMRI) has emerged as one of the most effective technologies in clinical research of the human brain. fMRI allows researchers to study healthy and pathological brains while they…

Neurons and Cognition · Quantitative Biology 2022-12-06 Sadi Md. Redwan , Md Palash Uddin , Muhammad Imran Sharif , Anwaar Ulhaq

The intrinsic mode function (IMF) provides adaptive function bases for nonlinear and non-stationary time series data. A fast convergent iterative method is introduced in this paper to find the IMF components of the data, the method is…

Numerical Analysis · Computer Science 2008-09-11 Louis Yu Lu

Attention Deficit/Hyperactivity Disorder (ADHD) is one of the most common neurodevelopmental disorders in children and is characterised by inattention, impulsiveness and hyperactivity. While several studies have analysed the static…

Neurons and Cognition · Quantitative Biology 2023-02-17 Rohit Misra , Tapan K. Gandhi