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We address functional uncertainty quantification for ill-posed inverse problems where it is possible to evaluate a possibly rank-deficient forward model, the observation noise distribution is known, and there are known parameter…

Methodology · Statistics 2025-02-06 Michael Stanley , Pau Batlle , Pratik Patil , Houman Owhadi , Mikael Kuusela

Atmospheric retrievals are widely used to constrain exoplanet properties from observed spectra. We investigate how the common nonphysical retrieval assumptions of vertically constant molecule abundances and cloud-free atmospheres affect our…

Earth and Planetary Astrophysics · Physics 2024-10-24 Björn S. Konrad , Sascha P. Quanz , Eleonora Alei , Robin Wordsworth

The high energy physics unfolding problem is an important statistical inverse problem in data analysis at the Large Hadron Collider (LHC) at CERN. The goal of unfolding is to make nonparametric inferences about a particle spectrum from…

Applications · Statistics 2017-06-09 Mikael Kuusela , Philip B. Stark

Characterizing the bulk atmosphere of a terrestrial planet is important for determining surface pressure and potential habitability. Molecular nitrogen (N$_2$) constitutes the largest fraction of Earth$'$s atmosphere and is likely to be a…

Earth and Planetary Astrophysics · Physics 2015-08-31 Edward W. Schwieterman , Tyler D. Robinson , Victoria S. Meadows , Amit Misra , Shawn Domagal-Goldman

An increasing number of potentially habitable terrestrial planets and planet candidates are found by ongoing planet search programs. The search for atmospheric signatures to establish planetary habitability and the presence of life might be…

Earth and Planetary Astrophysics · Physics 2015-06-12 P. von Paris , P. Hedelt , F. Selsis , F. Schreier , T. Trautmann

This paper discusses the effect of measurement errors in the estimation of the carbon dioxide (CO$_2$) airborne fraction. We are the first to present regression-based estimates and standard errors that are robust to measurement errors for…

Applications · Statistics 2025-03-17 J. Eduardo Vera-Valdés , Charisios Grivas

Quantifying the vertical distribution of atmospheric aerosols is crucial for estimating their impact on the Earth energy budget and climate, improving forecast of air pollution in cities, and reducing biases in the retrieval of greenhouse…

Atmospheric and Oceanic Physics · Physics 2019-08-19 Zhao-Cheng Zeng , Sihe Chen , Vijay Natraj , Tianhao Le , Feng Xu , Aronne Merrelli , David Crisp , Stanley P. Sander , Yuk L. Yung

In the near-future, atmospheric characterization of Earth-like planets in the habitable zone will become possible via reflectance spectroscopy with future telescopes such as the proposed LUVOIR and HabEx missions. While previous studies…

Earth and Planetary Astrophysics · Physics 2019-05-15 Yui Kawashima , Sarah Rugheimer

Near-surface atmospheric conditions can differ sharply over tens to hundreds of meters due to land cover and topography, yet this variability is absent from current weather analyses and forecasts. It is unclear whether such meter-scale…

Spectroscopic measurements at top of atmosphere are uniquely capable of attributing changes in Earth's outgoing infrared radiation field to specific greenhouse gasses. The Atmospheric Infrared Sounder (AIRS) placed in orbit in 2002 has…

Atmospheric and Oceanic Physics · Physics 2021-03-16 Christopher Rentsch

Spectral retrieval has long been a powerful tool for interpreting planetary remote sensing observations. Flexible, parameterised, agnostic models are coupled with inversion algorithms in order to infer atmospheric properties directly from…

Earth and Planetary Astrophysics · Physics 2020-07-08 Joanna K. Barstow , Kevin Heng

Monitoring the abundance of greenhouse gases (GHGs) such as carbon dioxide (CO$_2$) and methane (CH$_4$) is necessary to quantify their impact on global warming and climate change. Although a number of satellites and ground-based networks…

Earth and Planetary Astrophysics · Physics 2025-09-15 Marcelo Aron Fetzner Keniger , David Armstrong , Matteo Brogi , Siddharth Gandhi , Marina Lafarga

Contributions from photosynthesis and other natural components of the carbon cycle present the largest uncertainties in our understanding of carbon dioxide (CO$_2$) sources and sinks. While the global spatiotemporal distribution of the net…

Applications · Statistics 2025-03-13 Josh Jacobson , Michael Bertolacci , Andrew Zammit-Mangion , Andrew Schuh , Noel Cressie

The climatic challenges are rising across the globe in general and in worst hit under-developed countries in particular. The need for accurate measurements and forecasting of pollutants with low-cost deployment is more pertinent today than…

Machine Learning · Computer Science 2021-04-27 Yousuf Hashmy , ZillUllah Khan , Rehan Hafiz , Usman Younis , Tausif Tauqeer

Studies in environmental and epidemiological sciences are often spatially varying and observational in nature with the aim of establishing cause and effect relationships. One of the major challenges with such studies is the presence of…

Methodology · Statistics 2023-05-16 Sayli Pokal , Yawen Guan , Honglang Wang , Yuzhen Zhou

With their continued increase in coverage and quality, data collected from personal air quality monitors has become an increasingly valuable tool to complement existing public health monitoring systems over urban areas. However, the…

Applications · Statistics 2022-06-01 Matthew Bonas , Stefano Castruccio

The natural cycles of the surface-to-atmosphere fluxes of carbon dioxide (CO$_2$) and other important greenhouse gases are changing in response to human influences. These changes need to be quantified to understand climate change and its…

Atmospheric and Oceanic Physics · Physics 2022-10-20 Michael Bertolacci , Andrew Zammit-Mangion , Andrew Schuh , Beata Bukosa , Jenny Fisher , Yi Cao , Aleya Kaushik , Noel Cressie

This article presents an innovative approach for developing an efficient reduced-order model to study the dispersion of urban air pollutants. The need for real-time air quality monitoring has become increasingly important, given the rise in…

Numerical Analysis · Mathematics 2023-05-29 Moaad Khamlich , Giovanni Stabile , Gianluigi Rozza , László Környei , Zoltán Horváth

Atmospheric Carbon Monoxide (CO) provides a window on the chemistry of the atmosphere since it is one of few chemical constituents that can be remotely sensed, and it can be used to determine budgets of other greenhouse gases such as ozone…

This study develops a statistical method to perform uncertainty quantification for understanding CO2 storage potential within an enhanced oil recovery (EOR) environment at the Farnsworth Unit of the Anadarko Basin in northern Texas. A set…