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This paper presents a structure-preserving Bayesian approach for learning nonseparable Hamiltonian systems using stochastic dynamic models allowing for statistically-dependent, vector-valued additive and multiplicative measurement noise.…

Machine Learning · Statistics 2024-07-23 Nicholas Galioto , Harsh Sharma , Boris Kramer , Alex Arkady Gorodetsky

The physical characteristics and atmospheric chemical composition of newly discovered exoplanets are often inferred from their transit spectra which are obtained from complex numerical models of radiative transfer. Alternatively, simple…

Earth and Planetary Astrophysics · Physics 2021-12-23 Konstantin T. Matchev , Katia Matcheva , Alexander Roman

Planets on eccentric orbits have a higher geometric probability of transiting their host star. By application of Bayes' theorem, we reverse this logic to show that the eccentricity distribution of transiting planets is positively biased.…

Earth and Planetary Astrophysics · Physics 2015-06-22 David M. Kipping

The new generation of observatories and instruments (VLT/ERIS, JWST, ELT) motivate the development of robust methods to detect and characterise faint and close-in exoplanets. Molecular mapping and cross-correlation for spectroscopy use…

Near-IR observations are important for the detection and characterization of exoplanets using the transit technique, either in surveys of large numbers of stars or for follow-up spectroscopic observations of individual planets. In a…

Earth and Planetary Astrophysics · Physics 2015-06-05 C. Clanton , C. Beichman , G. Vasisht , R. Smith , B. S. Gaudi

The search for atmospheric biosignatures in Earth-like exoplanets is one of the most pressing challenges in observational astrobiology. Detecting biogenic gases in terrestrial planets requires high-resolution observations and long…

Earth and Planetary Astrophysics · Physics 2025-04-03 David S. Duque-Castaño , Jorge I. Zuluaga , Lauren Flor-Torres

Accurate quantification of the signal-to-noise ratio (SNR) of a given observational phenomenon is central to associated calculations of sensitivity, yield, completeness and occurrence rate. Within the field of exoplanets, the SNR of a…

Earth and Planetary Astrophysics · Physics 2023-05-31 David Kipping

We propose a method for observing transiting exoplanets with near-infrared high-resolution spectrometers. We aim to create a robust data analysis method for recovering atmospheric transmission spectra from transiting exoplanets over a wide…

Instrumentation and Methods for Astrophysics · Physics 2015-06-17 Erik Aronson , Pierre Waldén , Nikolai Piskunov

The performance of Bayesian detection of Gaussian signals using noisy observations is investigated via the error exponent for the average error probability. Under unknown signal correlation structure or limited processing capability it is…

Information Theory · Computer Science 2009-11-11 Youngchul Sung , Lang Tong , H. Vincent Poor

Here we present a Bayesian method of including discrete measurements of dispersion measure due to the interstellar medium in the direction of a pulsar as prior information in the analysis of that pulsar. We use a simple simulation to show…

Instrumentation and Methods for Astrophysics · Physics 2013-12-10 Lindley Lentati , Paul Alexander , Michael P. Hobson

Identifying the presence of a gravitational wave transient buried in non-stationary, non-Gaussian noise which can often contain spurious noise transients (glitches) is a very challenging task. For a given data set, transient gravitational…

General Relativity and Quantum Cosmology · Physics 2020-11-18 V. Gayathri , Dixeena Lopez , R. S. Pranjal , Ik Siong Heng , Archana Pai , Chris Messenger

Since the discovery of the first exoplanets more than 20 years ago, there has been an increasing need for photometric and spectroscopic models to characterize these systems. While imaging has been used extensively for Solar System bodies…

Earth and Planetary Astrophysics · Physics 2014-08-05 Bence Béky

The James Webb Space Telescope (JWST) will perform exoplanet transit spectroscopy in the coming decade promising transformative science results. All four instruments on board can be used for this technique which reconstructs the atmospheric…

Earth and Planetary Astrophysics · Physics 2020-01-08 Subhajit Sarkar , Nikku Madhusudhan , Andreas Papageorgiou

Bayesian data analysis techniques, together with suitable statistical models, can be used to obtain much more information from noisy data than the traditional frequentist methods. For instance, when searching for periodic signals in noisy…

Earth and Planetary Astrophysics · Physics 2015-06-12 Mikko Tuomi

A new generation of exoplanet research beckons and with it the need for simulation tools that accurately predict signal and noise in transit spectroscopy observations. We developed ExoSim: an end-to-end simulator that models noise and…

Instrumentation and Methods for Astrophysics · Physics 2021-03-17 Subhajit Sarkar , Enzo Pascale , Andreas Papageorgiou , Luke J. Johnson , Ingo Waldmann

We recommend that the search for exoplanets around binary stars be extended to include X-ray binaries in which the accretor is a white dwarf, neutron star, or black hole. We present a novel idea for detecting planets bound to such mass…

Earth and Planetary Astrophysics · Physics 2018-06-06 Nia Imara , Rosanne Di Stefano

We consider a well defined joint detection and parameter estimation problem. By combining the Baysian formulation of the estimation subproblem with suitable constraints on the detection subproblem we develop optimum one- and two-step test…

Applications · Statistics 2011-01-27 George V. Moustakides , Guido H. Jajamovich , Ali Tajer , Xiaodong Wang

One of the persistent complications in searches for transiting exoplanets is the low percentage of the detected candidates that ultimately prove to be planets, which significantly increases the load on the telescopes used for the follow-up…

Earth and Planetary Astrophysics · Physics 2011-01-12 Brandon Tingley , Aldo Bonomo , Hans-Jörg Deeg

Onboard electrostatic suspension inertial sensors are important applications for gravity satellites and space gravitational wave detection missions, and it is important to suppress noise in the measurement signal. Due to the complex…

Geophysics · Physics 2023-05-12 Zhilan Yang , Haoyue Zhang , Peng Xu , Ziren Luo

We investigate the optimization of dataset weighting in searching for the orbital period of transiting planets when high-precision space-based data with a single transit event are combined with (relatively) low-precision ground-based…

Instrumentation and Methods for Astrophysics · Physics 2019-06-05 Geza Kovacs