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Finding the source of a disturbance or fault in complex systems such as industrial chemical processing plants can be a difficult task and consume a significant number of engineering hours. In many cases, a systematic elimination procedure…

Information Theory · Computer Science 2019-04-09 Simon Streicher , Carl Sandrock

Near real-time damage diagnosis of building structures after extreme events (e.g., earthquakes) is of great importance in structural health monitoring. Unlike conventional methods that are usually time-consuming and require human expertise,…

Signal Processing · Electrical Eng. & Systems 2019-10-25 Seyed Omid Sajedi , Xiao Liang

While symmetry has been exploited to analyze synchronization patterns in complex networks, the identification of symmetries in large-size network remains as a challenge. We present in the present work a new method, namely the method of…

Adaptation and Self-Organizing Systems · Physics 2023-08-04 Huwei Fan , Xingang Wang

In the analysis of empirical signals, detecting correlations that capture genuine interactions between the elements of a complex system is a challenging task with applications across disciplines. Here we analyze a global data set of surface…

Atmospheric and Oceanic Physics · Physics 2020-02-12 Dario A. Zappala , Marcelo Barreiro , Cristina Masoller

Investment in measuring a process more completely or accurately is only useful if these improvements can be utilised during modelling and inference. We consider how improvements to data quality over time can be incorporated when selecting a…

Methodology · Statistics 2021-02-02 Zak Varty , Jonathan A. Tawn , Peter M. Atkinson , Stijn Bierman

The potential for complex systems to exhibit tipping points in which an equilibrium state undergoes a sudden and often irreversible shift is well established, but prediction of these events using standard forecast modeling techniques is…

Atmospheric and Oceanic Physics · Physics 2022-12-07 Daniel Dylewsky , Timothy M. Lenton , Marten Scheffer , Thomas M. Bury , Christopher G. Fletcher , Madhur Anand , Chris T. Bauch

This paper provides theoretical and practical arguments regarding the possibility of predicting strong and major earthquakes worldwide. Many strong and major earthquakes can be predicted at least two to five months in advance, based on…

Geophysics · Physics 2021-04-20 Oleg Elshin , Andrew A. Tronin

The recent work by (Rieger et al 2021) is concerned with the problem of extracting features from spatio-temporal geophysical signals. The authors introduce the complex rotated MCA (xMCA) to deal with lagged effects and non-orthogonality of…

Machine Learning · Computer Science 2022-12-16 D. Bueso , M. Piles , G. Camps-Valls

We present an adjoint-based optimization method to invert for stress and frictional parameters used in earthquake modeling. The forward problem is linear elastodynamics with nonlinear rate-and-state frictional faults. The misfit functional…

Numerical Analysis · Mathematics 2024-09-10 Vidar Stiernström , Martin Almquist , Eric M. Dunham

We provide a novel method for large volatility matrix prediction with high-frequency data by applying eigen-decomposition to daily realized volatility matrix estimators and capturing eigenvalue dynamics with ARMA models. Given a sequence of…

Applications · Statistics 2019-09-26 Xinyu Song

We propose a stable version of Principal Component Analysis (PCA) in the general framework of a separable Hilbert space. It consists in interpreting the projection on the first eigenvectors as a step function applied to the spectrum of the…

Statistics Theory · Mathematics 2017-04-03 Ilaria Giulini

Seismic waveforms contain rich information about earthquake processes, making effective data analysis crucial for earthquake monitoring, source characterization, and seismic hazard assessment. With rapid developments in deep learning, the…

Geophysics · Physics 2025-06-10 Weiqiang Zhu , Junhao Song , Haoyu Wang , Jannes Münchmeyer

Seismic acoustic impedance inversion is a challenging problem in geophysical exploration, primarily due to the scarcity of well-logging data and the inherent nonlinearity of the task. Most existing inversion methods, including…

Geophysics · Physics 2025-11-25 Junheng Peng , Yingtian Liu , Xiaowen Wang , Yong Li , Mingwei Wang

To mitigate the impacts associated with adverse weather conditions, meteorological services issue weather warnings to the general public. These warnings rely heavily on forecasts issued by underlying prediction systems. When deciding which…

Applications · Statistics 2022-09-13 Sam Allen , Jonas Bhend , Olivia Martius , Johanna Ziegel

Earthquake nowcasting has been proposed as a means of tracking the change in large earthquake potential in a seismically active area. The method was developed using observable seismic data, in which probabilities of future large earthquakes…

Geophysics · Physics 2024-06-21 John B. Rundle , Geoffrey Fox , Andrea Donnellan , Lisa Grant Ludwig

Seismic attributes calculated by conventional methods are susceptible to noise. Conventional filtering reduces the noise in the cost of losing the spectral bandwidth. The challenge of having a high-resolution and robust signal processing…

Geophysics · Physics 2020-12-02 M. Kazemnia Kakhki , W. J. Mansur , K. Aghazadeh

Several approaches for predicting large volatility matrices have been developed based on high-dimensional factor-based It\^o processes. These methods often impose restrictions to reduce the model complexity, such as constant eigenvectors or…

Econometrics · Economics 2025-05-02 Sung Hoon Choi , Donggyu Kim

Hawkes process is one of the most commonly used models for investigating the self-exciting nature of earthquake occurrences. However, seismicity patterns have complicated characteristics due to heterogeneous geology and stresses, for which…

Applications · Statistics 2023-02-15 Junhyeon Kwon , Yingcai Zheng , Mikyoung Jun

Principal component analysis is a versatile tool to reduce dimensionality which has wide applications in statistics and machine learning. It is particularly useful for modeling data in high-dimensional scenarios where the number of…

Methodology · Statistics 2022-08-18 Xiaoyu Hu , Fang Yao

The future energy system will largely depend on volatile renewable energy sources and temperature-dependent loads, which makes the weather a central influencing factor. This article presents a novel approach for simulating weather scenarios…

Systems and Control · Electrical Eng. & Systems 2024-05-31 Jan Peper , David Kröger , Jonathan Kipp , Florian Ziel , Christian Rehtanz