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In this paper, High-dimensional data analysis methods are proposed to deal with random matrix which is composed by the real data from power network before and after the fault. The mean spectral radius (MSR) of non-Hermitian random matrices…

应用统计 · 统计学 2015-03-31 Y. Cao , L. Cai , C. Qiu , J. Gu , X. He , Q. Ai , Z. Jin

This study presents band-ensemble Spectral Proper Orthogonal Decomposition (bSPOD). The approach is inspired by frequency smoothing, a method used to reduce estimator variance in power spectral density estimates, and is here extended to…

Accurately estimating the proportion of true signals among a large number of variables is crucial for enhancing the precision and reliability of scientific research. Traditional signal proportion estimators often assume independence among…

统计理论 · 数学 2026-05-15 Jingtian Bai , Xinge Jessie Jeng

We propose Network Automatic Relevance Determination (NARD), an extension of ARD for linearly probabilistic models, to simultaneously model sparse relationships between inputs $X \in \mathbb R^{d \times N}$ and outputs $Y \in \mathbb R^{m…

人工智能 · 计算机科学 2025-08-20 Hongwei Zhang , Ziqi Ye , Xinyuan Wang , Xin Guo , Zenglin Xu , Yuan Cheng , Zixin Hu , Yuan Qi

We study how to identify a class of continuous-time nonlinear systems defined by an ordinary differential equation affine in the unknown parameter. We define a notion of asymptotic consistency as $(n, h) \to (\infty, 0)$, and we achieve it…

系统与控制 · 电气工程与系统科学 2025-04-09 Simon Kuang , Xinfan Lin

Early classification algorithms help users react faster to their machine learning model's predictions. Early warning systems in hospitals, for example, let clinicians improve their patients' outcomes by accurately predicting infections.…

机器学习 · 计算机科学 2022-08-23 Thomas Hartvigsen , Walter Gerych , Jidapa Thadajarassiri , Xiangnan Kong , Elke Rundensteiner

The relay autotuning method identifies plant parameters, from oscillations of the plant under relay feedback. To predict the presence and nature of such oscillations, we apply the following two approaches: (a) analysis of the switching…

最优化与控制 · 数学 2023-07-07 Maben Rabi

Causal inference on time series data is a challenging problem, especially in the presence of unobserved confounders. This work focuses on estimating the causal effect between two time series that are confounded by a third, unobserved time…

机器学习 · 统计学 2024-11-19 Felix Schur , Jonas Peters

Probabilistic time series forecasting involves estimating the distribution of future based on its history, which is essential for risk management in downstream decision-making. We propose a deep state space model for probabilistic time…

机器学习 · 计算机科学 2021-02-02 Longyuan Li , Junchi Yan , Xiaokang Yang , Yaohui Jin

Responding to the challenge of detecting unusual radar targets in a well identified environment, innovative anomaly and novelty detection methods keep emerging in the literature. This work aims at presenting a benchmark gathering common and…

信号处理 · 电气工程与系统科学 2021-06-22 Martin Bauw , Santiago Velasco-Forero , Jesus Angulo , Claude Adnet , Olivier Airiau

Partial Information Decomposition (PID) is a principled and flexible method to unveil complex high-order interactions in multi-unit network systems. Though being defined exclusively for random variables, PID is ubiquitously applied to…

Improving the reliability of deployed machine learning systems often involves developing methods to detect out-of-distribution (OOD) inputs. However, existing research often narrowly focuses on samples from classes that are absent from the…

机器学习 · 计算机科学 2024-12-11 Charles Guille-Escuret , Pierre-André Noël , Ioannis Mitliagkas , David Vazquez , Joao Monteiro

The paper introduces robust independence tests with non-asymptotically guaranteed significance levels for stochastic linear time-invariant systems, assuming that the observed outputs are synchronous, which means that the systems are driven…

机器学习 · 统计学 2023-08-07 Ambrus Tamás , Dániel Ágoston Bálint , Balázs Csanád Csáji

In recent years, some spectrum sensing algorithms using multiple antennas, such as the eigenvalue based detection (EBD), have attracted a lot of attention. In this paper, we are interested in deriving the asymptotic distributions of the…

信息论 · 计算机科学 2016-11-15 Ying-Chang Liang , Guangming Pan , Yonghong Zeng

This paper investigates the effects of setting the sampling frequency significantly higher than conventional guidelines in system identification. Although continuous-time identification methods resolve the numerical difficulties encountered…

系统与控制 · 电气工程与系统科学 2025-06-05 Ichiro Maruta , Toshiharu Sugie

In this paper we introduce a novel algorithm called Iterative Section Reduction (ISR) to automatically identify sub-intervals of spatiotemporal time series that are predictive of a target classification task. Specifically, using data…

计算机视觉与模式识别 · 计算机科学 2021-11-15 David Grethlein , Aleksanteri Sladek , Santiago Ontañón

The median absolute deviation (MAD) is a robust measure of scale that is simple to implement and easy to interpret. Motivated by this, we introduce interval estimators of the MAD to make reliable inferences for dispersion for a single…

统计理论 · 数学 2024-08-06 Chandima N. P. G. Arachchige , Luke A. Prendergast

In wave propagation theories, many problems of multi-sensor systems utilize time delay in their solution in signal processing. This technique finds great utility in seismic exploration and static correction (low-velocity weathering), which…

计算物理 · 物理学 2018-01-25 Ashraf H. Yahia , El-Sayed El-Dahshan , Albert K. Guirguis

We consider discrete-time one-dimensional random dynamical systems with bounded noise, which generate an associated set-valued dynamical system. We provide necessary and sufficient conditions for a discontinuous bifurcation of a minimal…

动力系统 · 数学 2018-04-09 Christian Kuehn , Giuseppe Malavolta , Martin Rasmussen

This work considers methods for imposing sparsity in Bayesian regression with applications in nonlinear system identification. We first review automatic relevance determination (ARD) and analytically demonstrate the need to additional…

机器学习 · 统计学 2021-02-24 Samuel H. Rudy , Themistoklis P. Sapsis