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There has been growing interest in extending the coverage of ground PM2.5 monitoring networks based on satellite remote sensing data. With broad spatial and temporal coverage, satellite based monitoring network has a strong potential to…

Applications · Statistics 2018-09-14 Yikai Wang , Xuefei Hu , Howard Chang , Lance Waller , Jessica Belle , Yang Liu

Our ability to extract the maximal amount of information from future observations at gigahertz frequencies depends on our ability to separate the underlying cosmic microwave background (CMB) from galactic and extragalactic foregrounds. We…

Astrophysics · Physics 2007-05-23 J. Jewell , C. R. Lawrence , S. Levin

Numerical weather forecasts can exhibit systematic errors due to simplifying model assumptions and computational approximations. Statistical postprocessing is a statistical approach to correcting such biases. A statistical postprocessing…

Methodology · Statistics 2022-09-02 Stefan Siegert , Ben Hooper , Joshua Lovegrove , Tyler Thomson , Birgir Hrafnkelsson

Understanding the properties of transient gravitational waves and their sources is of broad interest in physics and astronomy. Bayesian inference is the standard framework for astro-physical measurement in transient gravitational-wave…

General Relativity and Quantum Cosmology · Physics 2020-10-07 Rory Smith , Gregory Ashton , Avi Vajpeyi , Colm Talbot

Modern data analysis increasingly requires flexible conditional inference P(X_B | X_A) where (X_A, X_B) is an arbitrary partition of observed variable X. Existing approaches are either restricted to a fixed conditioning structure or depend…

Machine Learning · Statistics 2026-03-11 Qiao Liu , Wing Hung Wong

We investigate the performance of a simple Bayesian fitting approach to correct the cosmic microwave background (CMB) B-mode polarization for gravitational lensing effects in the recovered probability distribution of the tensor-to-scalar…

Cosmology and Nongalactic Astrophysics · Physics 2017-11-28 M. Remazeilles , C. Dickinson , H. K. Eriksen , I. K. Wehus

All-sky observations of the Milky Way show both Galactic and non-Galactic diffuse emission, for example from interstellar matter or the cosmic microwave background (CMB). The different emitters are partly superimposed in the measurements,…

Instrumentation and Methods for Astrophysics · Physics 2021-06-16 Sara Milosevic , Philipp Frank , Reimar H. Leike , Ancla Müller , Torsten A. Enßlin

Inverse problems constrained by partial differential equations are often ill-conditioned due to noisy and incomplete data or inherent non-uniqueness. A prominent example is full waveform inversion, which estimates Earth's subsurface…

Geophysics · Physics 2026-03-03 Ali Siahkoohi , Kamal Aghazade , Ali Gholami

Uncertainty in the prediction of future weather is commonly assessed through the use of forecast ensembles that employ a numerical weather prediction model in distinct variants. Statistical postprocessing can correct for biases in the…

Applications · Statistics 2016-06-16 Annette Möller , Thordis L. Thorarinsdottir , Alex Lenkoski , Tilmann Gneiting

We introduce a comprehensive, custom-developed neural network, the PUREPath-B, that yields a posterior predictive distribution of Cosmic Microwave Background (CMB) B-mode signal conditioned on the foreground contaminated CMB data and…

Cosmology and Nongalactic Astrophysics · Physics 2025-03-27 Vipin Sudevan , Pisin Chen

Earth System Models (ESMs) are the state of the art for projecting the effects of climate change. However, longstanding uncertainties in their ability to simulate regional and local precipitation extremes and related processes inhibit…

Applications · Statistics 2017-07-20 Evan Kodra , Singdhansu Chatterjee , Stone Chen , Auroop R. Ganguly

We describe an efficient and exact method that enables global Bayesian analysis of cosmic microwave background (CMB) data. The method reveals the joint posterior density (or likelihood for flat priors) of the power spectrum $C_\ell$ and the…

Astrophysics · Physics 2009-11-10 Benjamin D. Wandelt , David L. Larson , Arun Lakshminarayanan

The extraction of foreground and CMB maps from multi-frequency observations relies mostly on the different frequency behavior of the different components. Existing Bayesian methods additionally make use of a Gaussian prior for the CMB whose…

Instrumentation and Methods for Astrophysics · Physics 2014-07-04 Niels Oppermann , Torsten A. Enßlin

Recognizing traversable terrain from 3D point cloud data is critical, as it directly impacts the performance of autonomous navigation in off-road environments. However, existing segmentation algorithms often struggle with challenges related…

Earth's temperature variability can be partitioned into internal and externally-forced components. Yet, underlying mechanisms and their relative contributions remain insufficiently understood, especially on decadal to centennial timescales.…

Atmospheric and Oceanic Physics · Physics 2023-02-01 Maybritt Schillinger , Beatrice Ellerhoff , Robert Scheichl , Kira Rehfeld

We consider the problem of estimating cross-spectral quantities in the low-frequency regime, where long observation times limit averaging over large ensembles of periodograms, thereby preventing the use of approximate Gaussian statistics.…

Instrumentation and Methods for Astrophysics · Physics 2026-04-16 Lorenzo Sala , Stefano Vitale

This paper proposes a new Bayesian strategy for the smooth estimation of altimetric parameters. The altimetric signal is assumed to be corrupted by a thermal and speckle noise distributed according to an independent and non identically…

Applications · Statistics 2016-04-20 Abderrahim Halimi , Corinne Mailhes , Jean-Yves Tourneret , Hichem Snoussi

The low surface brightness (LSB) regime ($\mu_{g} \gtrsim 26$ mag arcsec$^{-2}$) comprises a vast, mostly unexplored discovery space, from dwarf galaxies to the diffuse interstellar medium. Accessing this regime requires precisely removing…

Astrophysics of Galaxies · Physics 2024-01-24 A. E. Watkins , S. Kaviraj , C. C. Collins , J. H. Knapen , L. S. Kelvin , P. -A. Duc , J. Román , J. C. Mihos

Background: Continuous traits evolution of a group of taxa that are correlated through a phylogenetic tree is commonly modelled using parametric stochastic differential equations to represent deterministic change of trait through time,…

Populations and Evolution · Quantitative Biology 2026-04-03 Bayu Brahmantio , Krzysztof Bartoszek , Etka Yapar

Line-intensity mapping (LIM) is an emerging cosmological technique that traces large-scale structure through the integrated spectral-line emission of unresolved sources. Reconstructing unbiased sky maps requires careful joint treatment of…

Instrumentation and Methods for Astrophysics · Physics 2026-03-25 Zheng Zhang , Philip Bull , Mario G. Santos , Ainulnabilah Nasirudin