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Longtime monitoring of gravitational lens systems is often done using telescopes and recording equipment with modest resolution. Still, it would be interesting to get as much information as possible from the measured lightcurves. From high…

天体物理学 · 物理学 2015-06-24 A. Hirv , T. Eenmäe , T. Liimets , L. J. Liivamägi , J. Pelt

Phase-rectified signal averaging (PRSA) is a widely used algorithm to analyze nonstationary biomedical time series. The method operates by identifying hinge points in the time series according to prescribed rules, extracting segments…

统计理论 · 数学 2025-11-04 Jiro Akahori , Joseph Najnudel , Hau-Tieng Wu , Ju-Yi Yen

When looking for gravitational wave signals from known pulsars, targets have been treated using independent searches. Here we use a hierarchical Bayesian framework to combine observations from individual sources for two purposes: to produce…

天体物理仪器与方法 · 物理学 2018-09-12 M. Pitkin , C. Messenger , X. Fan

Anomaly Detection in multivariate time series is a major problem in many fields. Due to their nature, anomalies sparsely occur in real data, thus making the task of anomaly detection a challenging problem for classification algorithms to…

机器学习 · 计算机科学 2023-08-08 Anastasios Iliopoulos , John Violos , Christos Diou , Iraklis Varlamis

A sizeable fraction of gamma-ray burst (GRB) light curves (LCs) features a sequence of peaks, which holds information on the unknown way energy is dissipated into gamma-rays over time. Traditional searches for periodic signals in GRB LCs…

Principal component analysis (PCA) is a foundational tool in modern data analysis, and a crucial step in PCA is selecting the number of components to keep. However, classical selection methods (e.g., scree plots, parallel analysis, etc.)…

统计理论 · 数学 2026-05-28 David Hong , Yue Sheng , Edgar Dobriban

Ensuring safety is a key aspect in sequential decision making problems, such as robotics or process control. The complexity of the underlying systems often makes finding the optimal decision challenging, especially when the safety-critical…

机器学习 · 计算机科学 2024-09-27 Jialin Li , Marta Zagorowska , Giulia De Pasquale , Alisa Rupenyan , John Lygeros

Membership diversity is a characteristic aspect of social networks in which a person may belong to more than one social group. For this reason, discovering overlapping structures is necessary for realistic social analysis. In this paper, we…

社会与信息网络 · 计算机科学 2013-05-15 Jierui Xie , Boleslaw K. Szymanski

As a means of improving analysis of biological shapes, we propose an algorithm for sampling a Riemannian manifold by sequentially selecting points with maximum uncertainty under a Gaussian process model. This greedy strategy is known to be…

统计方法学 · 统计学 2019-01-10 Tingran Gao , Shahar Z. Kovalsky , Ingrid Daubechies

Stochastic computer simulations enable users to gain new insights into complex physical systems. Optimization is a common problem in this context: users seek to find model inputs that maximize the expected value of an objective function.…

最优化与控制 · 数学 2018-09-13 Atiye Alaeddini , Daniel J. Klein

A linear inverse problem is proposed that requires the determination of multiple unknown signal vectors. Each unknown vector passes through a different system matrix and the results are added to yield a single observation vector. Given the…

数值分析 · 计算机科学 2010-09-03 Adam C. Zelinski , Vivek K Goyal , Elfar Adalsteinsson

New algorithms are devised for finding the maxima of multidimensional point samples, one of the very first problems studied in computational geometry. The algorithms are very simple and easily coded and modified for practical needs. The…

数据结构与算法 · 计算机科学 2009-10-09 Wei-Mei Chen , Hsien-Kuei Hwang , Tsung-Hsi Tsai

Sequential pattern mining (SPM) has excellent prospects and application spaces and has been widely used in different fields. The non-overlapping SPM, as one of the data mining techniques, has been used to discover patterns that have…

数据库 · 计算机科学 2023-04-25 Zefeng Chen , Wensheng Gan , Gengsen Huang , Yan Li , Zhenlian Qi

The task of outlier detection is to find small groups of data objects that are exceptional when compared with rest large amount of data. In [38], the problem of outlier detection in categorical data is defined as an optimization problem and…

数据库 · 计算机科学 2007-05-23 Zengyou He , Xiaofei Xu , Shengchun Deng

In this work, we propose a novel framework for density forecast combination by constructing time-varying weights based on time series features, which is called Feature-based Bayesian Forecasting Model Averaging (FEBAMA). Our framework…

计量经济学 · 经济学 2022-06-15 Li Li , Yanfei Kang , Feng Li

Autonomous systems can be used to search for sparse signals in a large space; e.g., aerial robots can be deployed to localize threats, detect gas leaks, or respond to distress calls. Intuitively, search algorithms may increase efficiency by…

机器学习 · 统计学 2016-12-05 Yifei Ma , Roman Garnett , Jeff Schneider

This paper proposes a flexible framework for inferring large-scale time-varying and time-lagged correlation networks from multivariate or high-dimensional non-stationary time series with piecewise smooth trends. Built on a novel and unified…

统计方法学 · 统计学 2023-02-13 Lujia Bai , Weichi Wu

This work presents a novel and effective method for fitting multidimensional ellipsoids to scattered data in the contamination of noise and outliers. We approach the problem as a Bayesian parameter estimate process and maximize the…

统计方法学 · 统计学 2024-07-30 Zhao Mingyang , Jia Xiaohong , Ma Lei , Shi Yuke , Jiang Jingen , Li Qizhai , Yan Dong-Ming , Huang Tiejun

We propose a novel graphical model selection (GMS) scheme for high-dimensional stationary time series or discrete time process. The method is based on a natural generalization of the graphical LASSO (gLASSO), introduced originally for GMS…

机器学习 · 统计学 2023-07-19 Alexander Jung , Gabor Hannak , Norbert Görtz

Gaussian Boson Sampling (GBS) is capable of solving certain classes of graph problems owing to the samples produced by such a device having a connection to the hafnian matrix function. In particular, a GBS device has been shown to provide…

量子物理 · 物理学 2026-05-28 Ewan Mer , Zhenghao Li , Shang Yu , Ian A. Walmsley , Raj B. Patel