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We present FAST-MEPSA, an optimised version of the MEPSA algorithm developed to detect peaks in uniformly sampled time series affected by uncorrelated Gaussian noise. Although originally conceived for the analysis of gamma-ray burst (GRB)…

天体物理仪器与方法 · 物理学 2025-12-12 Manuele Maistrello , Romain Maccary , Cristiano Guidorzi

Database alignment is a variant of the graph alignment problem: Given a pair of anonymized databases containing separate yet correlated features for a set of users, the problem is to identify the correspondence between the features and…

信息论 · 计算机科学 2023-07-06 Osman Emre Dai , Daniel Cullina , Negar Kiyavash

Power-spectrum analysis is an important tool providing critical information about a signal. The range of applications includes communication-systems to DNA-sequencing. If there is interference present on a transmitted signal, it could be…

天体物理仪器与方法 · 物理学 2015-03-18 Yogindra Abhyankar , Sajish C. , Yogesh Agarwal , C. R. Subrahmanya , Peeyush Prasad

Astronomical data is often uncertain with errors that are heteroscedastic (different for each data point) and covariant between different dimensions. Assuming that a set of D-dimensional data points can be described by a (D - 1)-dimensional…

天体物理仪器与方法 · 物理学 2015-10-21 A. S. G. Robotham , D. Obreschkow

While considerable advance has been made to account for statistical uncertainties in astronomical analyses, systematic instrumental uncertainties have been generally ignored. This can be crucial to a proper interpretation of analysis…

I start by providing an updated summary of the penalized pixel-fitting (pPXF) method, which is used to extract the stellar and gas kinematics, as well as the stellar population of galaxies, via full spectrum fitting. I then focus on the…

星系天体物理 · 物理学 2017-01-11 Michele Cappellari

Context. Inferring spectral parameters from X-ray data is one of the cornerstones of high-energy astrophysics, and is achieved using software stacks that have been developed over the last twenty years and more. However, as models get more…

天体物理仪器与方法 · 物理学 2024-10-23 Simon Dupourqué , Didier Barret , Camille M. Diez , Sébastien Guillot , Erwan Quintin

Statistical matching is an effective method for estimating causal effects in which treated units are paired with control units with ``similar'' values of confounding covariates prior to performing estimation. In this way, matching helps…

统计方法学 · 统计学 2023-09-13 Sanjeewani Weerasingha , Michael J. Higgins

A central problem of random matrix theory is to understand the eigenvalues of spiked random matrix models, in which a prominent eigenvector is planted into a random matrix. These distributions form natural statistical models for principal…

统计理论 · 数学 2016-12-26 Amelia Perry , Alexander S. Wein , Afonso S. Bandeira , Ankur Moitra

We present a data-parallel software package for fitting Gaussian Approximation Potentials (GAPs) on multiple nodes using the ScaLAPACK library with MPI and OpenMP. Until now the maximum training set size for GAP models has been limited by…

材料科学 · 物理学 2022-11-14 Sascha Klawohn , James R. Kermode , Albert P. Bartók

This article is concerned with Gaussian process quadratures, which are numerical integration methods based on Gaussian process regression methods, and sigma-point methods, which are used in advanced non-linear Kalman filtering and smoothing…

统计方法学 · 统计学 2015-04-24 Simo Särkkä , Jouni Hartikainen , Lennart Svensson , Fredrik Sandblom

Gaussian process is a theoretically appealing model for nonparametric analysis, but its computational cumbersomeness hinders its use in large scale and the existing reduced-rank solutions are usually heuristic. In this work, we propose a…

机器学习 · 统计学 2015-11-25 Leo L. Duan , Xia Wang , Rhonda D. Szczesniak

This paper considers the problem of detecting equal-shaped non-overlapping unimodal peaks in the presence of Gaussian ergodic stationary noise, where the number, location and heights of the peaks are unknown. A multiple testing approach is…

统计方法学 · 统计学 2010-08-12 Armin Schwartzman , Yulia Gavrilov , Robert J. Adler

Identifying the underlying models in a set of data points contaminated by noise and outliers, leads to a highly complex multi-model fitting problem. This problem can be posed as a clustering problem by the projection of higher order…

计算机视觉与模式识别 · 计算机科学 2018-08-01 Ruwan Tennakoon , Alireza Sadri , Reza Hoseinnezhad , Alireza Bab-Hadiashar

The Gaussian function (GF) is widely used to explain the behavior or statistical distribution of many natural phenomena as well as industrial processes in different disciplines of engineering and applied science. For example, the GF can be…

信号处理 · 电气工程与系统科学 2020-01-08 Ibrahim Al-Nahhal , Octavia A. Dobre , Ertugrul Basar , Cecilia Moloney , Salama Ikki

autoScale.py is a program that performs an automatic finite-size scaling analysis for given sets of simulated data. It implements a quite general scaling assumption and optimizes an initial set of scaling parameters that enforce a data…

计算物理 · 物理学 2009-10-29 O. Melchert

This paper presents an integrated modeling software to analyze the PSF of wide-field telescopes affected by misalignments. Even relatively small misalignments in the optical system of a telescope can significantly deteriorate the image…

Gaussian Approximation Potentials are a class of Machine Learned Interatomic Potentials routinely used to model materials and molecular systems on the atomic scale. The software implementation provides the means for both fitting models…

This thesis investigates algorithms regarding their applicability for highly nonlinear model fitting on big datasets. Various mathematical methods are presented with which a model fit using the least squares criterion is possible. Special…

天体物理仪器与方法 · 物理学 2017-12-20 Robin Geyer

Variational Gaussian process (GP) approximations have become a standard tool in fast GP inference. This technique requires a user to select variational features to increase efficiency. So far the common choices in the literature are…

机器学习 · 统计学 2021-10-26 Veit Wild , George Wynne