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Flooding is a destructive and dangerous hazard and climate change appears to be increasing the frequency of catastrophic flooding events around the world. Physics-based flood models are costly to calibrate and are rarely generalizable…

Machine Learning · Computer Science 2019-10-16 Chelsea Sidrane , Dylan J Fitzpatrick , Andrew Annex , Diane O'Donoghue , Yarin Gal , Piotr Biliński

We study behavior of the restricted maximum likelihood (REML) estimator under a misspecified linear mixed model (LMM) that has received much attention in recent gnome-wide association studies. The asymptotic analysis establishes consistency…

Statistics Theory · Mathematics 2014-04-10 Jiming Jiang , Cong Li , Debashis Paul , Can Yang , Hongyu Zhao

In this paper, we propose a probabilistic physics-guided framework, termed Physics-guided Deep Markov Model (PgDMM). The framework targets the inference of the characteristics and latent structure of nonlinear dynamical systems from…

Machine Learning · Computer Science 2022-05-26 Wei Liu , Zhilu Lai , Kiran Bacsa , Eleni Chatzi

We propose a general approach to construct weighted likelihood estimating equations with the aim of obtaining robust parameter estimates. We modify the standard likelihood equations by incorporating a weight that reflects the statistical…

Statistics Theory · Mathematics 2025-07-24 Claudio Agostinelli , Ayanendranath Basu , Giulia Bertagnolli , Arun Kumar Kuchibhotla

Numerous studies have compared machine learning (ML) and discrete choice models (DCMs) in predicting travel demand. However, these studies often lack generalizability as they compare models deterministically without considering contextual…

Machine Learning · Computer Science 2025-03-07 Shenhao Wang , Baichuan Mo , Yunhan Zheng , Stephane Hess , Jinhua Zhao

The integrated conditional moment (ICM) test is a classical and widely used method for assessing the adequacy of regression models. Although it performs well in fixed-dimension settings, its behavior changes dramatically when the predictor…

Methodology · Statistics 2026-04-17 Yue Hu , Haiqi Li , Xintao Xia

Simulating and predicting the water level/stage in river systems is essential for flood warnings, hydraulic operations, and flood mitigations. Physics-based detailed hydrological and hydraulic computational tools, such as HEC-RAS, MIKE, and…

Understanding dynamics of hydrological responses is essential in producing skillful runoff forecast. This can be quantitatively done by tracking changes in hydrology model parameters that represent physical characteristics. In this study,…

Applications · Statistics 2021-12-13 Xiao Peng , John D. Albertson

Accurate prediction of physical fields is critical in various engineering applications, including thermal management in electronic systems, airfoil shape optimization in aerospace, and flow field control in hypersonic vehicles. This study…

Fluid Dynamics · Physics 2026-03-12 Yuan Jia , Chi Zhang , Hao Ma , Qiao Zhang , Kai Liu , Chih-Yung Wen

We present the concepts of physics-based learning models (PBLM) and their relevance and application to the field of ship hydrodynamics. The utility of physics-based learning is motivated by contrasting generic learning models for regression…

Fluid Dynamics · Physics 2014-01-17 Gabriel D. Weymouth , Dick K. P. Yue

Flow Matching has recently emerged as a popular class of generative models for simulating a target distribution $\mu_1$ from samples drawn from a source distribution $\mu_0$. This framework relies on a fixed coupling between $\mu_0$ and…

Machine Learning · Computer Science 2026-05-12 Le-Tuyet-Nhi Pham , Giovanni Conforti , Zhenjie Ren , Alain Durmus

Reliable estimation of the raindrop size distribution (RSD) is important for applications including quantitative precipitation estimation, soil erosion modelling, and wind turbine blade erosion. While in situ instruments such as…

Atmospheric and Oceanic Physics · Physics 2026-02-03 R. J. Humphreys

Hydroelectric power generation is a critical component of the global energy matrix, particularly in countries like Brazil, where it represents the majority of the energy supply. However, its strong dependence on river discharges, which are…

Machine Learning · Computer Science 2024-12-19 Julio Alberto Silva Dias

We introduce the Linearized Diffusion Map (LDM), a novel linear dimensionality reduction method constructed via a linear approximation of the diffusion-map kernel. LDM integrates the geometric intuition of diffusion-based nonlinear methods…

Machine Learning · Computer Science 2025-07-22 Julio Candanedo

The formation of precipitation in state-of-the-art weather and climate models is an important process. The understanding of its relationship with other variables can lead to endless benefits, particularly for the world's monsoon regions…

Atmospheric and Oceanic Physics · Physics 2021-08-25 Manmeet Singh , Bipin Kumar , Suryachandra Rao , Sukhpal Singh Gill , Rajib Chattopadhyay , Ravi S Nanjundiah , Dev Niyogi

Here we demonstrate that the time-evolving interface observed during droplet formation, and consequently the resulting morphology nearing pinch-off, encode sufficient physical information for machine-learning (ML) frameworks to accurately…

The hazard of pluvial flooding is largely influenced by the spatial and temporal dependence characteristics of precipitation. When extreme precipitation possesses strong spatial dependence, the risk of flooding is amplified due to catchment…

Applications · Statistics 2020-08-03 Gregory P. Bopp , Benjamin A. Shaby , Chris E. Forest , Alfonso Mejía

Many real-world decision-making problems face the off-dynamics challenge: the agent learns a policy in a source domain and deploys it in a target domain with different state transitions. The distributionally robust Markov decision process…

Machine Learning · Computer Science 2025-05-26 Zhishuai Liu , Pan Xu

By recognizing that the main difficulty of the modeling of daily precipitation amounts is the selection of an appropriate probability distribution, this study aims to establish a model selection framework to identify the appropriate…

Applications · Statistics 2020-09-01 Hsien-Wei Chen

Turbulence modeling is a critical component in numerical simulations of industrial flows based on Reynolds-averaged Navier-Stokes (RANS) equations. However, after decades of efforts in the turbulence modeling community, universally…

Fluid Dynamics · Physics 2017-03-22 Jian-Xun Wang , Jin-Long Wu , Heng Xiao