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The approach to heteroscedasticity of ref.1(Instruments 2022, 6(1), 10) contains a sketchy application of a sub-optimal method of very easy implementation: the lucky model. The supporting proof of this method could not be inserted in ref.1.…

仪器与探测器 · 物理学 2022-06-06 Gregorio Landi , Giovanni E. Landi

We study the safety verification problem for discrete-time stochastic systems. We propose an approach for safety verification termed set-erosion strategy that verifies the safety of a stochastic system on a safe set through the safety of…

系统与控制 · 电气工程与系统科学 2024-10-04 Zishun Liu , Saber Jafarpour , Yongxin Chen

Human joint dynamic stiffness plays an important role in the stability of performance augmentation exoskeletons. In this paper, we consider a new frequency domain model of the human joint dynamics which features a complex value stiffness.…

机器人学 · 计算机科学 2020-05-04 Binghan He , Huang Huang , Gray C. Thomas , Luis Sentis

To obtain explicit understanding of the behavior of dynamical systems, geometrical methods and slow-fast analysis have proved to be highly useful. Such methods are standard for smooth dynamical systems, and increasingly used for continuous,…

定量方法 · 定量生物学 2023-10-19 Francesco Montefusco , Morten Gram Pedersen

Statistical inference for high-dimensional regression heteroskedasticity is an important but under-explored problem. The current paper aims at filling this gap by proposing two tests, namely the variance difference test and the variance…

统计方法学 · 统计学 2022-12-06 Chi Chien-Ming

A simple model of inelastic hard-rods subject to a one-dimensional array of identical wells is introduced. The energy loss due to inelastic collisions is balanced by the work supplied by an external stochastic heat-bath. We explore the…

Cyclic loading is a common feature in poroelastic systems, the material response depending non-trivially on the exact form of boundary conditions, pore structure, and mechanical properties. The situation becomes more complex when…

软凝聚态物质 · 物理学 2025-10-08 Zoe C. Godard , Derek E. Moulton , Sarah L. Waters

We incorporate heteroskedasticity into Bayesian Additive Regression Trees (BART) by modeling the log of the error variance parameter as a linear function of prespecified covariates. Under this scheme, the Gibbs sampling procedure for the…

统计方法学 · 统计学 2014-02-24 Justin Bleich , Adam Kapelner

Heteroscedastic regression considering the varying noises among observations has many applications in the fields like machine learning and statistics. Here we focus on the heteroscedastic Gaussian process (HGP) regression which integrates…

机器学习 · 统计学 2020-01-22 Haitao Liu , Yew-Soon Ong , Jianfei Cai

The linear regression model is widely used in empirical work in Economics, Statistics, and many other disciplines. Researchers often include many covariates in their linear model specification in an attempt to control for confounders. We…

统计理论 · 数学 2017-12-12 Matias D. Cattaneo , Michael Jansson , Whitney K. Newey

This work presents the spatial error model with heteroskedasticity, which allows the joint modeling of the parameters associated with both the mean and the variance, within a traditional approach to spatial econometrics. The estimation…

统计方法学 · 统计学 2024-11-21 J. D. Toloza , O. O. Melo , N. A. Cruz

Numerous early warning systems based on rainfall measurements have been designed over the last decades to forecast the onset of rainfall-induced shallow landslides. However, their use over large areas poses challenges due to uncertainties…

地球物理 · 物理学 2021-06-30 Edoardo Rundeddu , José J. Lizárraga , Giuseppe Buscarnera

We formulate an optimization problem to estimate probability densities in the context of multidimensional problems that are sampled with uneven probability. It considers detector sensitivity as an heterogeneous density and takes advantage…

机器学习 · 计算机科学 2025-06-04 Aleix Boquet-Pujadas , Pol del Aguila Pla , Michael Unser

This paper develops a consistent heteroskedasticity robust Lagrange Multiplier (LM) type specification test for semiparametric conditional mean models. Consistency is achieved by turning a conditional moment restriction into a growing…

计量经济学 · 经济学 2019-11-12 Ivan Korolev

Accurate probabilistic prediction of wind power is crucial for maintaining grid stability and facilitating the efficient integration of renewable energy sources. Gaussian process (GP) models offer a principled framework for quantifying…

应用统计 · 统计学 2025-11-11 Domniki Ladopoulou , Dat Minh Hong , Petros Dellaportas

Accurately modeling traffic speeds is a fundamental part of efficient intelligent transportation systems. Nowadays, with the widespread deployment of GPS-enabled devices, it has become possible to crowdsource the collection of speed…

机器学习 · 统计学 2018-12-21 Filipe Rodrigues , Francisco C. Pereira

This paper proposes a multitask learning framework for probabilistic model updating by jointly using strain and acceleration measurements. This framework can enhance the structural damage assessment and response prediction of existing steel…

应用统计 · 统计学 2024-02-01 Taro Yaoyama , Tatsuya Itoi , Jun Iyama

Demand forecasting in competitive, uncertain business environments requires models that can integrate multiple evaluation perspectives rather than being restricted to hyperparameter optimization based on a single metric. This traditional…

机器学习 · 计算机科学 2025-12-23 Adolfo González , Víctor Parada

A variety of statistical and machine learning methods are used to model crash frequency on specific roadways with machine learning methods generally having a higher prediction accuracy. Recently, heterogeneous ensemble methods (HEM),…

机器学习 · 计算机科学 2022-07-25 Numan Ahmad , Behram Wali , Asad J. Khattak

Understanding and predicting human migration patterns is a central challenge in population dynamics research. Traditional physics-inspired gravity and radiation models represent migration flows as functions of attractiveness using…

应用统计 · 统计学 2024-12-03 Aric Cutuli , Upmanu Lall , Michael J. Puma , Émile Esmaili , Rachata Muneepeerakul