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The accuracy of Bayesian inference can be negatively affected by the use of inaccurate forward models. In the case of gravitational-wave inference, accurate but computationally expensive waveform models are sometimes substituted with faster…

Instrumentation and Methods for Astrophysics · Physics 2024-04-02 Miaoxin Liu , Xiao-Dong Li , Alvin J. K. Chua

We present a classical approximation for the peaks of survival resonances occurring when diffracting matter waves from absorption potentials. Generally our simplified model describes the absorption-diffraction process around the Talbot time…

Quantum Physics · Physics 2022-02-14 Mikkel F. Andersen , Sandro Wimberger

Genetic data obtained on population samples convey information about their evolutionary history. Inference methods can extract this information (at least partially) but they require sophisticated statistical techniques that have been made…

Gravitational-wave events are interpreted in terms of Bayesian posteriors for their source properties inferred under unphysical reference priors. Though these parameter estimates are important intermediate data products for downstream…

General Relativity and Quantum Cosmology · Physics 2026-04-20 Matthew Mould , Rodrigo Tenorio , Davide Gerosa

We consider the problem of inference for the states and parameters of a continuous-time multitype branching process from partially observed time series data. Exact inference for this class of models, typically using sequential Monte Carlo,…

Methodology · Statistics 2025-12-01 Angus Lewis , Antonio Parrella , John Maclean , Andrew J. Black

The Galton-Watson process is a model for population growth which assumes that individuals reproduce independently according to the same offspring distribution. Inference usually focuses on the offspring average as it allows to classify the…

Methodology · Statistics 2025-06-27 Massimo Cannas , Michele Guindani , Nicola Piras

A large collection of time series poses significant challenges for classical and neural forecasting approaches. Classical time series models fail to fit data well and to scale to large problems, but succeed at providing uncertainty…

Machine Learning · Statistics 2018-12-04 Danielle C. Maddix , Yuyang Wang , Alex Smola

This article aims at discovering the unknown variables in the system through data analysis. The main idea is to use the time of data collection as a surrogate variable and try to identify the unknown variables by modeling gradual and sudden…

Methodology · Statistics 2023-10-12 V. Roshan Joseph , William E. Lewis , Henry S. Yuchi , Kathryn A. Maupin

We focus on variational inference in dynamical systems where the discrete time transition function (or evolution rule) is modelled by a Gaussian process. The dominant approach so far has been to use a factorised posterior distribution,…

Machine Learning · Statistics 2018-12-17 Alessandro Davide Ialongo , Mark van der Wilk , James Hensman , Carl Edward Rasmussen

We present a stochastic two-population model that describes the migration and growth of semi-sedentary foragers and sedentary farmers along a river valley during the Neolithic transition. The main idea of this paper is that random migration…

Adaptation and Self-Organizing Systems · Physics 2008-04-21 Sergei Fedotov , David Moss , Daniel Campos

We present the first framework for Gaussian-process-modulated Poisson processes when the temporal data appear in the form of panel counts. Panel count data frequently arise when experimental subjects are observed only at discrete time…

Machine Learning · Statistics 2018-03-13 Hongyi Ding , Young Lee , Issei Sato , Masashi Sugiyama

A fully Bayesian treatment of complicated predictive models (such as deep neural networks) would enable rigorous uncertainty quantification and the automation of higher-level tasks including model selection. However, the intractability of…

Demographic models built from genetic data play important roles in illuminating prehistorical events and serving as null models in genome scans for selection. We introduce an inference method based on the joint frequency spectrum of genetic…

Populations and Evolution · Quantitative Biology 2010-05-10 Ryan N. Gutenkunst , Ryan D. Hernandez , Scott H. Williamson , Carlos D. Bustamante

Big spatio-temporal datasets, available through both open and administrative data sources, offer significant potential for social science research. The magnitude of the data allows for increased resolution and analysis at individual level.…

Applications · Statistics 2017-11-27 Anastasia Ushakova , Slava J. Mikhaylov

Computational models help decision makers understand epidemic dynamics to optimize public health interventions. Agent-based simulation of disease spread in synthetic populations allows us to compare and contrast different effects across…

Multiagent Systems · Computer Science 2023-09-12 Abdulrahman A. Ahmed , M. Amin Rahimian , Mark S. Roberts

We introduce a highly-parallelizable architecture for estimating parameters of compact binary coalescence using gravitational-wave data and waveform models. Using a spherical harmonic mode decomposition, the waveform is expressed as a sum…

General Relativity and Quantum Cosmology · Physics 2015-08-06 C. Pankow , P. Brady , E. Ochsner , R. O'Shaughnessy

Agroecosystem, which heavily influenced by human actions and accounts for a quarter of global greenhouse gas emissions (GHGs), plays a crucial role in mitigating global climate change and securing environmental sustainability. However, we…

Machine Learning · Computer Science 2026-02-03 Qi Cheng , Licheng Liu , Yao Zhang , Mu Hong , Yiqun Xie , Xiaowei Jia

1.) Spatio-temporal datasets that are difficult to analyze are common in ecological surveys. There are software packages available to analyze these datasets, but many of them require advanced coding skills. There is a growing need for easy…

Methodology · Statistics 2021-10-07 Ethan Lawler , Chris Field , Joanna Mills Flemming

Gaussian process are a widely-used statistical tool for conducting non-parametric inference in applied sciences, with many computational packages available to fit to data and predict future observations. We study the use of the Greta…

Computation · Statistics 2025-03-31 Eva Gunn , Nikhil Sengupta , Ben Swallow

Directional data arise in various contexts such as oceanography (wave directions) and meteorology (wind directions), as well as with measurements on a periodic scale (weekdays, hours, etc.). Our contribution is to introduce a model-based…

Applications · Statistics 2013-01-09 Giovanna Jona-Lasinio , Alan Gelfand , Mattia Jona-Lasinio