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In Pulsar Timing Array (PTA) data analysis, noise is typically assumed to be Gaussian, and the marginalized likelihood has a well-established analytical form derived within the framework of Gaussian processes. However, this Gaussianity…

天体物理仪器与方法 · 物理学 2026-01-30 Mikel Falxa , Alberto Sesana

This paper presents a comparison of popular period finding algorithms applied to the light curves of variable stars from the Catalina Real-time Transient Survey (CRTS), MACHO and ASAS data sets. We analyze the accuracy of the methods…

天体物理仪器与方法 · 物理学 2015-06-16 Matthew J. Graham , Andrew J. Drake , S. G. Djorgovski , Ashish A. Mahabal , Ciro Donalek , Victor Duan , Alison Maher

This paper introduces BSPA, a parallel algorithm that leverages beam search to address the two-dimensional strip packing problem. The study begins with a comprehensive review of existing approaches and methodologies, followed by a detailed…

最优化与控制 · 数学 2025-03-13 Yajie Wen , Defu Zhang

In this paper, we consider the task of clustering a set of individual time series while modeling each cluster, that is, model-based time series clustering. The task requires a parametric model with sufficient flexibility to describe the…

机器学习 · 计算机科学 2023-02-23 Ryohei Umatani , Takashi Imai , Kaoru Kawamoto , Shutaro Kunimasa

We derive a parallel sampling algorithm for computational inverse problems that present an unknown linear forcing term and a vector of nonlinear parameters to be recovered. It is assumed that the data is noisy and that the linear part of…

数值分析 · 数学 2022-03-24 Darko Volkov

Many of the artificial intelligence techniques developed to date rely on heuristic search through large spaces. Unfortunately, the size of these spaces and the corresponding computational effort reduce the applicability of otherwise novel…

人工智能 · 计算机科学 2011-05-30 D. J. Cook , R. C. Varnell

A novel multi-task Gaussian process (GP) framework is proposed, by using a common mean process for sharing information across tasks. In particular, we investigate the problem of time series forecasting, with the objective to improve…

统计计算 · 统计学 2022-05-25 Arthur Leroy , Pierre Latouche , Benjamin Guedj , Servane Gey

Density-based clustering has found numerous applications across various domains. The Density-Based Spatial Clustering of Applications with Noise (DBSCAN) algorithm is capable of finding clusters of varied shapes that are not linearly…

数据库 · 计算机科学 2019-12-03 Vinayak Mathur , Jinesh Mehta , Sanjay Singh

This paper tackles the problem of missing data imputation for noisy and non-Gaussian data. A classical imputation method, the Expectation Maximization (EM) algorithm for Gaussian mixture models, has shown interesting properties when…

Multitemporal spectral unmixing (SU) is a powerful tool to process hyperspectral image (HI) sequences due to its ability to reveal the evolution of materials over time and space in a scene. However, significant spectral variability is often…

图像与视频处理 · 电气工程与系统科学 2022-11-28 Ricardo Augusto Borsoi , Tales Imbiriba , José Carlos Moreira Bermudez , Cédric Richard

We have developed an algorithm for non-parametric fitting and extraction of statistically significant peaks in the presence of statistical and systematic uncertainties. Applications of this algorithm for analysis of high-energy collision…

数据分析、统计与概率 · 物理学 2020-03-20 S. Chekanov , M. Erickson

This paper deals with symbolic time series representation. It builds up on the popular mapping technique Symbolic Aggregate approXimation algorithm (SAX), which is extensively utilized in sequence classification, pattern mining, anomaly…

机器学习 · 计算机科学 2022-05-27 Matej Kloska , Viera Rozinajova

I describe an approach to fitting and comparison of radio spectra based on Bayesian analysis and realised using a new implementation of the nested sampling algorithm. Such an approach improves on the commonly used maximum-likelihood fitting…

天体物理仪器与方法 · 物理学 2009-12-14 Bojan Nikolic

In many data classification problems, there is no linear relationship between an explanatory and the dependent variables. Instead, there may be ranges of the input variable for which the observed outcome is signficantly more or less likely.…

机器学习 · 计算机科学 2016-04-13 Mallory Sheth , Roy Welsch , Natasha Markuzon

In this paper, the problem of estimating the level set of a black-box function from noisy and expensive evaluation queries is considered. A new algorithm for this problem in the Bayesian framework with a Gaussian Process (GP) prior is…

机器学习 · 统计学 2019-02-27 Shubhanshu Shekhar , Tara Javidi

This paper studies the classical problem of detecting the locations of signal occurrences in a one-dimensional noisy measurement. Assuming the signal occurrences do not overlap, we formulate the detection task as a constrained likelihood…

信号处理 · 电气工程与系统科学 2023-02-20 Mordechai Roth , Amichai Painsky , Tamir Bendory

This paper addresses the issue of detecting change-points in multivariate time series. The proposed approach differs from existing counterparts by making only weak assumptions on both the change-points structure across series, and the…

统计方法学 · 统计学 2014-07-14 Flore Harlé , Florent Chatelain , Cédric Gouy-Pailler , Sophie Achard

The search for continuous gravitational waves demands computationally efficient algorithms that can handle highly non-linear parameter spaces. Loosely coherent algorithms establish upper limits and detect signals by analyzing families of…

天体物理仪器与方法 · 物理学 2019-01-04 Vladimir Dergachev

We investigate a novel non-parametric regression-based clustering algorithm for longitudinal data analysis. Combining natural cubic splines with Gaussian mixture models (GMM), the algorithm can produce smooth cluster means that describe the…

统计方法学 · 统计学 2022-09-20 Peter Mlakar , Tapio Nummi , Polona Oblak , Jana Faganeli Pucer

We propose a novel Bayesian methodology for analyzing nonstationary time series that exhibit oscillatory behaviour. We approximate the time series using a piecewise oscillatory model with unknown periodicities, where our goal is to estimate…

统计方法学 · 统计学 2019-05-30 Beniamino Hadj-Amar , Bärbel Finkenstädt , Mark Fiecas , Francis Levi , Robert Huckstepp