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In this paper, a multipurpose Bayesian-based method for data analysis, causal inference and prediction in the sphere of oil and gas reservoir development is considered. This allows analysing parameters of a reservoir, discovery dependencies…

Many policies hinge on a continuous variable exceeding a threshold, prompting strategic behavior by agents to stay on the favorable side. This creates density discontinuities at cutoffs, evident in contexts like taxable income, corporate…

Methodology · Statistics 2025-07-09 Surya T Tokdar , Rik Sen , Haoliang Zheng , Shuangjie Zhang

This paper deals with the early results of a new model of pedestrian flow, conceived within a measure-theoretical framework. The modeling approach consists in a discrete-time Eulerian macroscopic representation of the system via a family of…

Mathematical Physics · Physics 2011-03-29 Benedetto Piccoli , Andrea Tosin

Regional flood frequency analysis is commonly applied in situations where there exists insufficient data at a location for a reliable estimation of flood quantiles. We develop a Bayesian hierarchical modeling framework for a regional…

We consider the statistical inverse problem of estimating a background fluid flow field $\mathbf{v}$ from the partial, noisy observations of the concentration $\theta$ of a substance passively advected by the fluid, so that $\theta$ is…

Statistics Theory · Mathematics 2019-09-16 Jeff Borggaard , Nathan E. Glatt-Holtz , Justin A. Krometis

Previous studies showed that hydro-climate processes are stochastic and complex systems, and it is difficult to discover the hidden patterns in the all non-stationary data and thoroughly understand the hydro-climate relationships. For the…

Applications · Statistics 2018-10-02 Jianhua Xu

Typically, physical and conceptual rainfall-runoff models are developed independently and are based on different, though not entirely incompatible, governing principles. In this work, we perform a systematic asymptotic analysis of a typical…

Fluid Dynamics · Physics 2023-12-05 Piotr Morawiecki , Philippe H. Trinh

Statistical downscaling of global climate models (GCMs) allows researchers to study local climate change effects decades into the future. A wide range of statistical models have been applied to downscaling GCMs but recent advances in…

Machine Learning · Statistics 2017-02-15 Thomas Vandal , Evan Kodra , Auroop R Ganguly

This paper proposes a physics-guided machine learning approach that combines advanced machine learning models and physics-based models to improve the prediction of water flow and temperature in river networks. We first build a recurrent…

In order to reach the supply/demand balance, electricity providers need to predict the demand and production of electricity at different time scales. This implies the need of modeling weather variables such as temperature, wind speed, solar…

Applications · Statistics 2017-10-24 Augustin Touron

Tackling the difficult problem of estimating spatially distributed hydrological parameters, especially for floods on ungauged watercourses, this contribution presents a novel seamless regionalization technique for learning complex regional…

Machine Learning · Computer Science 2023-07-07 Ngo Nghi Truyen Huynh , Pierre-André Garambois , François Colleoni , Benjamin Renard , Hélène Roux

Rainfall impacts daily activities and can lead to severe hazards such as flooding. Traditional rainfall measurement systems often lack granularity or require extensive infrastructure. While the attenuation of electromagnetic waves due to…

Signal Processing · Electrical Eng. & Systems 2025-01-07 Yan Li , Jie Yang , Yixuan Huang , Tao Yang , Chao-Kai Wen , Shi Jin

An important task for any large-scale organization is to prepare forecasts of key performance metrics. Often these organizations are structured in a hierarchical manner and for operational reasons, projections of these metrics may have been…

Applications · Statistics 2017-11-15 Julie Novak , Scott McGarvie , Beatriz Etchegaray Garcia

We propose a scalable variational Bayes method for statistical inference for a single or low-dimensional subset of the coordinates of a high-dimensional parameter in sparse linear regression. Our approach relies on assigning a mean-field…

Machine Learning · Statistics 2025-08-12 Ismaël Castillo , Alice L'Huillier , Kolyan Ray , Luke Travis

Statistical modeling of monthly, seasonal, or annual rainfall data is an important research area in meteorology. These models play a crucial role in rainfed agriculture, where a proper assessment of the future availability of rainwater is…

Applications · Statistics 2024-03-05 Arnab Hazra , Abhik Ghosh

Rainfall prediction remains a persistent challenge due to the highly nonlinear and complex nature of meteorological data. Existing approaches lack systematic utilization of grid search for optimal hyperparameter tuning, relying instead on…

Machine Learning · Computer Science 2025-01-29 Zhenqi Li , Junhao Zhong , Hewei Wang , Jinfeng Xu , Yijie Li , Jinjiang You , Jiayi Zhang , Runzhi Wu , Soumyabrata Dev

Reliable uncertainty quantification remains a central challenge in predictive modeling. While Bayesian methods are theoretically appealing, their predictive intervals can exhibit poor frequentist calibration, particularly with small sample…

Methodology · Statistics 2025-08-05 Graham Gibson

This study explores the efficacy of a Transformer model for 120-hour streamflow prediction across 125 diverse locations in Iowa, US. Utilizing data from the preceding 72 hours, including precipitation, evapotranspiration, and discharge…

Machine Learning · Computer Science 2024-06-12 Bekir Z. Demiray , Ibrahim Demir

We present a Bayesian framework for reconstruction of subsurface hydraulic properties from nonlinear dynamic flow data by imposing sparsity on the distribution of the solution coefficients in a compression transform domain.

Numerical Analysis · Computer Science 2015-05-14 Lianlin Li , Behnam Jafarpour

Bayesian methods have been very successful in quantifying uncertainty in physics-based problems in parameter estimation and prediction. In these cases, physical measurements y are modeled as the best fit of a physics-based model…

Data Analysis, Statistics and Probability · Physics 2015-02-06 Dave Higdon , Jordan D. McDonnell , Nicolas Schunck , Jason Sarich , Stefan M. Wild