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We present SPUX - a modular framework for Bayesian inference enabling uncertainty quantification and propagation in linear and nonlinear, deterministic and stochastic models, and supporting Bayesian model selection. SPUX can be coupled to…

Computation · Statistics 2021-05-14 Jonas Šukys , Marco Bacci

Driven by human ingenuity and creativity, the discovery of super-resolution techniques, which circumvent the classical diffraction limit of light, represent a leap in optical microscopy. However, the vast space encompassing all possible…

Optics · Physics 2024-12-17 Carla Rodríguez , Sören Arlt , Leonhard Möckl , Mario Krenn

It is time-consuming and error-prone to implement inference procedures for each new probabilistic model. Probabilistic programming addresses this problem by allowing a user to specify the model and having a compiler automatically generate…

Almost all fields of science rely upon statistical inference to estimate unknown parameters in theoretical and computational models. While the performance of modern computer hardware continues to grow, the computational requirements for the…

Computation · Statistics 2022-10-25 David J. Warne , Ruth E. Baker , Matthew J. Simpson

Bayesian inference is on the rise, partly because it allows researchers to quantify parameter uncertainty, evaluate evidence for competing hypotheses, incorporate model ambiguity, and seamlessly update knowledge as information accumulates.…

Methodology · Statistics 2025-09-15 František Bartoš , Eric-Jan Wagenmakers

Over the past 10 years Bayesian methods have rapidly grown more popular as several computationally intensive statistical algorithms have become feasible with increased computer power. In this paper, we begin with a general description of…

Astrophysics · Physics 2016-02-19 David A. van Dyk , Alanna Connors , Vinay L. Kashyap , Aneta Siemiginowska

Raman spectroscopy is a non-destructive and label-free chemical analysis technique, which plays a key role in the analysis and discovery cycle of various branches of science. Nonetheless, progress in Raman spectroscopic analysis is still…

Gaussian process is a theoretically appealing model for nonparametric analysis, but its computational cumbersomeness hinders its use in large scale and the existing reduced-rank solutions are usually heuristic. In this work, we propose a…

Machine Learning · Statistics 2015-11-25 Leo L. Duan , Xia Wang , Rhonda D. Szczesniak

We introduce Atomistic learned potentials in JAX (apax), a flexible and efficient open source software package for training and inference of machine-learned interatomic potentials. Built on the JAX framework, apax supports GPU acceleration…

Chemical Physics · Physics 2025-11-19 Moritz René Schäfer , Nico Segreto , Fabian Zills , Christian Holm , Johannes Kästner

Contemporary exoplanet and brown dwarf atmospheric research relies heavily on retrieval frameworks to recover thermal and chemical properties and perform model comparison in an observational data-driven approach. However, the computational…

Earth and Planetary Astrophysics · Physics 2026-02-24 Elspeth K. H. Lee

The past several years have witnessed the success of transformer-based models, and their scale and application scenarios continue to grow aggressively. The current landscape of transformer models is increasingly diverse: the model size…

Analysis of XRD diffraction patterns is one of the keystones of materials science and materials research. With the advancement of data-driven methods for materials design, candidate materials can be quickly screened for the study of a…

Gaussian process (GP) regression with 1D inputs can often be performed in linear time via a stochastic differential equation formulation. However, for non-Gaussian likelihoods, this requires application of approximate inference methods…

Machine Learning · Computer Science 2020-07-20 Paul E. Chang , William J. Wilkinson , Mohammad Emtiyaz Khan , Arno Solin

Evaluating time series attribution methods is difficult because real-world datasets rarely provide ground truth for which time points drive a prediction. A common workaround is to generate synthetic data where class-discriminating features…

Machine Learning · Computer Science 2026-03-10 Gregor Baer

Detecting unexpected objects (anomalies) in real time has great potential for monitoring, managing, and protecting the environment. Hyperspectral line-scan cameras are a low-cost solution that enhance confidence in anomaly detection over…

Image and Video Processing · Electrical Eng. & Systems 2024-12-25 Samuel Garske , Bradley Evans , Christopher Artlett , KC Wong

Current endeavours in exoplanet characterisation rely on atmospheric retrieval to quantify crucial physical properties of remote exoplanets from observations. However, the scalability and efficiency of the technique are under strain with…

Earth and Planetary Astrophysics · Physics 2023-11-17 Kai Hou Yip , Quentin Changeat , Ahmed Al-Refaie , Ingo Waldmann

I present a fast Python tool, SpectRes, for carrying out the resampling of spectral flux densities and their associated uncertainties onto different wavelength grids. The function works with any grid of wavelength values, including…

Instrumentation and Methods for Astrophysics · Physics 2017-05-16 A. C. Carnall

The Python package pyABC provides a framework for approximate Bayesian computation (ABC), a likelihood-free parameter inference method popular in many research areas. At its core, it implements a sequential Monte-Carlo (SMC) scheme, with…

Quantitative Methods · Quantitative Biology 2022-03-25 Yannik Schälte , Emmanuel Klinger , Emad Alamoudi , Jan Hasenauer

Differentiable numerical simulations of physical systems have gained rising attention in the past few years with the development of automatic differentiation tools. This paper presents JAX-SSO, a differentiable finite element analysis…

Mathematical Software · Computer Science 2024-07-30 Gaoyuan Wu

Modern imaging instruments can produce terabytes to petabytes of data for a single experiment. The biggest barrier to processing big image datasets has been computational, where image analysis algorithms often lack the efficiency needed to…

Computer Vision and Pattern Recognition · Computer Science 2026-03-13 Nicholas Schaub , Andriy Kharchenko , Hamdah Abbasi , Sameeul Samee , Hythem Sidky , Nathan Hotaling