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We present an analytical inversion technique which can be used to recover ionization probabilities from spatially averaged data in an N-dimensional detection scheme. The solution is given as a power series in intensity. For this reason, we…

Quantum Physics · Physics 2015-05-18 J. Strohaber , A. A. Kolomenskii , H. A. Schuessler

Today's most detailed characterization of exoplanet atmospheres is accessible via transit spectroscopy (TS). Detecting transiting exoplanets only yields their size, and it is thus standard to measure a planet's mass before moving towards…

Earth and Planetary Astrophysics · Physics 2025-10-01 Julien de Wit , Sara Seager , Prajwal Niraula

Parameterized partial differential equations (PDEs) underpin the mathematical modeling of complex systems in diverse domains, including engineering, healthcare, and physics. A central challenge in using PDEs for real-world applications is…

Machine Learning · Computer Science 2026-04-07 Xuyang Li , Mahdi Masmoudi , Rami Gharbi , Nizar Lajnef , Vishnu Naresh Boddeti

Inverse techniques are used to extract information about an exoplanet's atmosphere. These techniques are prone to biased results if the appropriate forward model is not used. One assumption used in a forward model is to assume that the…

Earth and Planetary Astrophysics · Physics 2022-03-30 Jake Taylor

The classical picture of our Solar System being the archetypal outcome of planet formation has been rendered obsolete by the astonishing diversity of extrasolar-system architectures. From rare hot-Jupiters to abundant super-Earths and…

Earth and Planetary Astrophysics · Physics 2025-01-17 A. Sánchez-López , Ana P. Millán

Spatial individual-level models (ILMs) provide a flexible framework for modelling infectious disease transmission across populations with known locations. Bayesian inference for these models relies on Markov chain Monte Carlo (MCMC), which…

Computation · Statistics 2026-05-29 Yicheng Mao , Rob Deardon

It is crucially important to estimate unknown parameters in earth system models by integrating observation and numerical simulation. For many applications in earth system sciences, an optimization method which allows parameters to…

Geophysics · Physics 2022-07-13 Yohei Sawada

Simulation-based inference (SBI) is constantly in search of more expressive and efficient algorithms to accurately infer the parameters of complex simulation models. In line with this goal, we present consistency models for posterior…

Machine Learning · Computer Science 2024-11-05 Marvin Schmitt , Valentin Pratz , Ullrich Köthe , Paul-Christian Bürkner , Stefan T Radev

One of the top remaining science challenges in astronomical optics is the direct imaging and characterization of extrasolar planets and planetary systems. Directly imaging exoplanets from ground-based observatories requires combining…

Instrumentation and Methods for Astrophysics · Physics 2021-10-04 Alexander T Rodack , Richard A Frazin , Jared R Males , Olivier Guyon

This paper studies the problem of online parameter estimation for cyber-physical systems with binary outputs that may be subject to adversarial data tampering. Existing methods are primarily offline and unsuitable for real-time learning. To…

Systems and Control · Electrical Eng. & Systems 2025-11-13 Jian Guo , Lihong Pei , Wenchao Xue , Yanlong Zhao , Ji-Feng Zhang

The characterization of planetary atmospheres is a daunting task, pushing current observing facilities to their limits. The next generation of high-resolution spectrographs mounted on large telescopes -- such as ESPRESSO@VLT and HIRES@ELT…

Earth and Planetary Astrophysics · Physics 2018-08-06 J. H. C. Martins , P. Figueira , N. C. Santos , C. Melo , A. Garcia Muñoz , J. Faria , F. Pepe , C. Lovis

Atmospheric temperatures are to be estimated from thermal emission spectra of Earth-like exoplanets orbiting M-stars as observed by current and future planned missions. To this end, a line-by-line radiative transfer code is used to generate…

Earth and Planetary Astrophysics · Physics 2023-06-02 Franz Schreier , J. Lee Grenfell , Fabian Wunderlich , Thomas Trautmann

We present an algorithm to efficiently sample the full space of planetary interior density profiles. Our approach uses as few assumptions as possible to pursue an agnostic algorithm. The algorithm avoids the common Markov Chain Monte Carlo…

Earth and Planetary Astrophysics · Physics 2026-02-18 Stefano Wirth , Luca Morf , Ravit Helled

In the event of a nuclear accident, or the detonation of a radiological dispersal device, quickly locating the source of the accident or blast is important for emergency response and environmental decontamination. At a specified time after…

Machine Learning · Computer Science 2025-02-26 Christopher Edwards , Ralph C Smith

Current end-to-end (E2E) and plug-and-play (PnP) image reconstruction algorithms approximate the maximum a posteriori (MAP) estimate but cannot offer sampling from the posterior distribution, like diffusion models. By contrast, it is…

Image and Video Processing · Electrical Eng. & Systems 2025-03-24 Jyothi Rikhab Chand , Mathews Jacob

Direct imaging of exoplanets involves the extraction of very faint signals from highly noisy data sets, with noise that often exhibits significant spatial, spectral and temporal correlations. As a results, a large number of post-processing…

Instrumentation and Methods for Astrophysics · Physics 2015-05-26 Dmitry Savransky

Nested sampling (NS) computes parameter posterior distributions and makes Bayesian model comparison computationally feasible. Its strengths are the unsupervised navigation of complex, potentially multi-modal posteriors until a well-defined…

Computation · Statistics 2023-07-11 Johannes Buchner

Humans learn efficiently from their environment by engaging multiple interacting neural systems that support distinct yet complementary forms of control, including model-based (goal-directed) planning, model-free (habitual) responding, and…

Machine Learning · Computer Science 2026-02-02 Babak Shahbaba , Zahra Moslemi

Bayesian inference methods rely on numerical algorithms for both model selection and parameter inference. In general, these algorithms require a high computational effort to yield reliable estimates. One of the major challenges in…

Quantitative Methods · Quantitative Biology 2018-08-09 Patricio Maturana , Brendon J. Brewer , Steffen Klaere , Remco Bouckaert

Extreme weather events epitomize high cost: to society through their physical impacts, and to computer servers that simulate them to assess risk and advance physical understanding. It costs hundreds of simulation years to sample a few…

Atmospheric and Oceanic Physics · Physics 2026-04-14 Justin Finkel , Paul A. O'Gorman