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Many Bayesian statistical inference problems come down to computing a maximum a-posteriori (MAP) assignment of latent variables. Yet, standard methods for estimating the MAP assignment do not have a finite time guarantee that the algorithm…

Machine Learning · Statistics 2024-10-31 Harsh Vardhan Dubey , Ji Ah Lee , Patrick Flaherty

The currently available Kepler light curves contain an outstanding amount of information but a detailed analysis of the individual oscillation modes in the observed power spectra, also known as peak bagging, is computationally demanding and…

Solar and Stellar Astrophysics · Physics 2015-07-08 E. Corsaro , J. De Ridder , R. A. García

The treatment of systematic noise is a significant aspect of transit exoplanet data processing due to the signal strength of systematic noise relative to a transit signal. Typically the standard approach to transit detection is to estimate…

Earth and Planetary Astrophysics · Physics 2020-06-10 Jamila Taaki , Farzad Kamalabadi , Athol J. Kemball

The study of exoplanetary atmospheres epitomises a continuous quest for higher accuracy measurements. Systematic effects and noise associated with both the stellar activity and the instrument can bias the results and thus limit the…

Earth and Planetary Astrophysics · Physics 2014-01-03 C. Danielski , T. Kacprzak , G. Tinetti , P. Jagoda

The Kepler mission is providing photometric data of exquisite quality for the asteroseismic study of different classes of pulsating stars. These analyses place particular demands on the pre-processing of the data, over a range of timescales…

Astronomical data are typically irregular in time, e.g. the space (HIPPARCOS/TYCHO, KEPLER, GAIA, WISE etc.) and ground-based CCD (NSVS, ASAS, CRTS, SuperWASP etc.) and photographic (Harvard, Sonneberg, Odessa etc.) photometrical surveys.…

Solar and Stellar Astrophysics · Physics 2019-02-05 Ivan L. Andronov

We present ARC2 (Astrophysically Robust Correction 2), an open-source Python-based systematics-correction pipeline to correct for the Kepler prime mission long cadence light curves. The ARC2 pipeline identifies and corrects any isolated…

Instrumentation and Methods for Astrophysics · Physics 2017-08-16 S. Aigrain , H. Parviainen , S. Roberts , S. Reece , T. Evans

Context. Transit detection algorithms are mathematical tools used for detecting planets in the photometric data of transit surveys. In this work we study their application to space-based surveys. Aims: Space missions are exploring the…

Earth and Planetary Astrophysics · Physics 2012-12-06 J. Cabrera , Sz. Csizmadia , A. Erikson , H. Rauer , S. Kirste

We describe the calibration and data processing methods used to generate full-sky maps of the cosmic microwave background (CMB) from the first year of Wilkinson Microwave Anisotropy Probe (WMAP) observations. Detailed limits on residual…

Statistical studies of exoplanets and the properties of their host stars have been critical to informing models of planet formation. Numerous trends have arisen in particular from the rich Kepler dataset, including that exoplanets are more…

Earth and Planetary Astrophysics · Physics 2021-02-04 Jonah T. Hansen , Luca Casagrande , Michael J. Ireland , Jane Lin

This study presents a Bayesian maximum \textit{a~posteriori} (MAP) framework for dynamical system identification from time-series data. This is shown to be equivalent to a generalized Tikhonov regularization, providing a rational…

Methodology · Statistics 2024-08-29 Robert K. Niven , Laurent Cordier , Ali Mohammad-Djafari , Markus Abel , Markus Quade

Light curves of astrophysical objects frequently contain strictly periodic signals. In those cases we can use that property to aid the detrending algorithm to fully disentangle an unknown periodic signal and an unknown baseline signal with…

Instrumentation and Methods for Astrophysics · Physics 2019-05-01 Andrej Prsa , Moses Zhang , Mark Wells

We continue studies of the uncertainty quantification problem in emission tomographies such as PET or SPECT when additional multimodal data (e.g., anatomical MRI images) are available. To solve the aforementioned problem we adapt the…

Machine Learning · Statistics 2021-12-03 Fedor Goncharov , Éric Barat , Thomas Dautremer

The transit technique is responsible for the majority of exoplanet discoveries to date. Characterizing these planets involves careful modeling of their transit profiles. A common technique involves expressing the transit duration using a…

Earth and Planetary Astrophysics · Physics 2022-08-17 Gregory J. Gilbert , Mason G. MacDougall , Erik A. Petigura

Precise physical properties of the known transiting exoplanets are essential for their precise atmospheric characterization using modern and upcoming instruments. Leveraging the large volume of high SNR photometric follow-up data from TESS,…

Earth and Planetary Astrophysics · Physics 2025-11-25 Suman Saha

This paper considers maximum-a-posteriori (MAP) and linear discriminant based MAP detectors to detect changes in the mean and covariance of a stochastic input, driving specific network nodes, using noisy measurements from sensors…

Optimization and Control · Mathematics 2020-11-10 Rajasekhar Anguluri , Vaibhav Katewa , Sandip Roy , Fabio Pasqualetti

A classical problem in digital communications is to evaluate the symbol error probability (SEP) and bit error probability (BEP) of a multidimensional constellation over an additive white Gaussian noise channel. In this paper, we revisit…

Information Theory · Computer Science 2024-01-25 Alex Alvarado , Erik Agrell , Fredrik Brännström

From pulsating stars to transiting exoplanets, the search for periodic signals in K2 data, Kepler's 2-wheeled extension, is relevant to a long list of scientific goals. Systematics affecting K2 light curves due to the decreased spacecraft…

Solar and Stellar Astrophysics · Physics 2016-02-17 Ruth Angus , Daniel Foreman-Mackey , John A. Johnson

In the context of the expected-posterior prior (EPP) approach to Bayesian variable selection in linear models, we combine ideas from power-prior and unit-information-prior methodologies to simultaneously produce a minimally-informative…

Computation · Statistics 2015-04-27 Dimitris Fouskakis , Ioannis Ntzoufras , David Draper

Photometry from the Kepler mission is optimized to detect small, short duration signals like planet transits at the expense of long-term trends. This long-term variability can be recovered in photometry from the Full Frame Images (FFIs), a…

Solar and Stellar Astrophysics · Physics 2017-12-27 Benjamin T. Montet , Guadalupe Tovar , Daniel Foreman-Mackey