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This paper introduces the multiband periodogram, a general extension of the well-known Lomb-Scargle approach for detecting periodic signals in time-domain data. In addition to advantages of the Lomb-Scargle method such as treatment of…

Instrumentation and Methods for Astrophysics · Physics 2015-10-14 Jacob T. VanderPlas , Zeljko Ivezic

Ongoing and future surveys with repeat imaging in multiple bands are producing (or will produce) time-spaced measurements of brightness, resulting in the identification of large numbers of variable sources in the sky. A large fraction of…

Instrumentation and Methods for Astrophysics · Physics 2017-11-29 Abhijit Saha , A. Katherina Vivas

We present a new method of extending the single band Analysis of Variance period estimation algorithm to multiple bands. We use SDSS Stripe 82 RR Lyrae to show that in the case of low number of observations per band and non-simultaneous…

Solar and Stellar Astrophysics · Physics 2015-10-07 Nicholas Mondrik , James P. Long , Jennifer L. Marshall

We present a new representation of light curves, which is quite different from the binning method. Instead of choosing uniform bins, the reciprocal of interval between two successive photons is adopted to represent the counting rate. A…

High Energy Astrophysical Phenomena · Physics 2014-01-14 Jun Tian , Yuan-Chuan Zou

We consider the estimation of a common period for a set of functions sampled at irregular intervals. The problem arises in astronomy, where the functions represent a star's brightness observed over time through different photometric…

Applications · Statistics 2016-04-15 James P. Long , Eric C. Chi , Richard G. Baraniuk

New time-series analysis tools are needed in disciplines as diverse as astronomy, economics and meteorology. In particular, the increasing rate of data collection at multiple wavelengths requires new approaches able to handle these data.…

Instrumentation and Methods for Astrophysics · Physics 2021-01-05 C. E. Ferreira Lopes , N. J. G. Cross , F. Jablonski

We develop a non-linear semi-parametric Gaussian process model to estimate periods of Miras with sparsely-sampled light curves. The model uses a sinusoidal basis for the periodic variation and a Gaussian process for the stochastic changes.…

Solar and Stellar Astrophysics · Physics 2016-11-18 Shiyuan He , Wenlong Yuan , Jianhua Z. Huang , James Long , Lucas M. Macri

Estimating mutual information is an important statistics and machine learning problem. To estimate the mutual information from data, a common practice is preparing a set of paired samples $\{(\mathbf{x}_i,\mathbf{y}_i)\}_{i=1}^n…

Machine Learning · Statistics 2024-07-16 Yanbin Liu , Makoto Yamada , Yao-Hung Hubert Tsai , Tam Le , Ruslan Salakhutdinov , Yi Yang

The Period-Luminosity (PL) relation is usually derived using time-averaged magnitudes, which require multiple-epoch observations to determine periods and adequately sample the light curves. Although single-epoch observations are more…

Instrumentation and Methods for Astrophysics · Physics 2025-09-16 Mahdi Abdollahi , Atefeh Javadi , Barry F. Madore , Wendy L. Freedman , Hamidreza Mahani

Period estimation is one of the central topics in astronomical time series analysis, where data is often unevenly sampled. Especially challenging are studies of stellar magnetic cycles, as there the periods looked for are of the order of…

Solar and Stellar Astrophysics · Physics 2018-07-25 N. Olspert , J. Pelt , M. J. Käpylä , J. Lehtinen

Robust regression techniques rely on least-squares optimization, which works well for Gaussian noise but fails in the presence of asymmetric structured noise. We propose a hybrid neural-symbolic architecture where a transformer encoder…

Machine Learning · Computer Science 2025-08-06 Roman Gutierrez , Tony Kai Tang , Isabel Gutierrez

The Large Synoptic Survey Telescope (LSST) will provide for unbiased sampling of variability properties of objects with $r$ mag $<$ 24. This should allow for those objects whose variations reveal their orbital periods ($P_{orb}$), such as…

Instrumentation and Methods for Astrophysics · Physics 2019-01-09 Michael A. C. Johnson , Poshak Gandhi , Adriane P. Chapman , Luc Moreau , Philip A. Charles , William I. Clarkson , Adam B. Hill

Full quantum state tomography (FQST) plays a unique role in the estimation of the state of a quantum system without \emph{a priori} knowledge or assumptions. Unfortunately, since FQST requires informationally (over)complete measurements,…

This paper presents an efficient algorithm for robust network reconstruction of Linear Time-Invariant (LTI) systems in the presence of noise, estimation errors and unmodelled nonlinearities. The method here builds on previous work on robust…

Dynamical Systems · Mathematics 2016-11-18 David Hayden , Ye Yuan , Jorge Gonçalves

Modern time-domain astronomy will benefit from the vast data collected by survey telescopes. The 2.5 m Wide Field Survey Telescope (WFST), with its powerful capabilities, is promising to make significant contributions in the era of large…

Instrumentation and Methods for Astrophysics · Physics 2025-06-03 Yongling Tang , Lulu Fan , Zhen Wan , Yating Liu , Yan Lu

In this work, we present a highly efficient quantitative phase imaging (QPI) approach using programmable annular LED illumination based on traditional bright-field microscope. As a new type of coded illumination, the LED array provides a…

Optics · Physics 2017-07-14 Jiaji Li , Qian Chen , Jialin Zhang , Yan Zhang , Linpeng Lu , Chao Zuo

We present an unsupervised, data-driven framework for rapid characterisation of astronomical photometric time series using a Multi-Time Attention Network. The model learns time-aware latent representations directly from irregular, partial…

Instrumentation and Methods for Astrophysics · Physics 2026-05-26 Yash Gondhalekar , Anais Möller , Paula Sánchez-Sáez

We present a new method to discriminate periodic from non-periodic irregularly sampled lightcurves. We introduce a periodic kernel and maximize a similarity measure derived from information theory to estimate the periods and a discriminator…

Instrumentation and Methods for Astrophysics · Physics 2015-09-24 Pavlos Protopapas , Pablo Huijse , Pablo A. Estevez , Pablo Zegers , Jose C. Principe

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…

Instrumentation and Methods for Astrophysics · Physics 2015-06-16 Matthew J. Graham , Andrew J. Drake , S. G. Djorgovski , Ashish A. Mahabal , Ciro Donalek , Victor Duan , Alison Maher

We explore and demonstrate the capabilities of LSST to study Type I superluminous supernovae (SLSNe). We first fit the light curves of 58 known SLSNe at z~0.1-1.6, using an analytical magnetar spin-down model implemented in MOSFiT. We then…

High Energy Astrophysical Phenomena · Physics 2018-12-26 V. Ashley Villar , Matt Nicholl , Edo Berger
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