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Graphical models are an important tool in exploring relationships between variables in complex, multivariate data. Methods for learning such graphical models are well developed in the case where all variables are either continuous or…

机器学习 · 统计学 2024-02-15 Konstantin Göbler , Anne Miloschewski , Mathias Drton , Sach Mukherjee

In modern science, computer models are often used to understand complex phenomena, and a thriving statistical community has grown around analyzing them. This review aims to bring a spotlight to the growing prevalence of stochastic computer…

Local spatial models such as Geographically Weighted Regression (GWR) and Multiscale Geographically Weighted Regression (MGWR) serve as instrumental tools to capture intrinsic contextual effects through the estimates of the local intercepts…

Regression for spatially dependent outcomes poses many challenges, for inference and for computation. Non-spatial models and traditional spatial mixed-effects models each have their advantages and disadvantages, making it difficult for…

统计方法学 · 统计学 2017-08-02 John Hughes

Spatio-temporal change of support methods are designed for statistical analysis on spatial and temporal domains which can differ from those of the observed data. Previous work introduced a parsimonious class of Bayesian hierarchical…

统计计算 · 统计学 2024-01-19 Andrew M. Raim , Scott H. Holan , Jonathan R. Bradley , Christopher K. Wikle

The multivariate adaptive regression spline (MARS) approach of Friedman (1991) and its Bayesian counterpart (Francom et al. 2018) are effective approaches for the emulation of computer models. The traditional assumption of Gaussian errors…

统计方法学 · 统计学 2024-07-23 Kellin Rumsey , Devin Francom , Andy Shen

We introduce a generalized additive model for location, scale, and shape (GAMLSS) next of kin aiming at distribution-free and parsimonious regression modelling for arbitrary outcomes. We replace the strict parametric distribution…

统计方法学 · 统计学 2023-12-21 Sandra Siegfried , Lucas Kook , Torsten Hothorn

Sparse linear regression is one of the classic problems in the field of statistics, which has deep connections and high intersections with optimization, computation, and machine learning. To address the effective handling of…

统计方法学 · 统计学 2025-08-04 Peili Li , Zhuomei Li , Yunhai Xiao , Chao Ying , Zhou Yu

We study the problem of transfer learning and fine-tuning in linear models for both regression and binary classification. In particular, we consider the use of stochastic gradient descent (SGD) on a linear model initialized with pretrained…

机器学习 · 计算机科学 2025-02-25 Reza Ghane , Danil Akhtiamov , Babak Hassibi

This article introduces new methods for inference with count data registered on a set of aggregation units. Such data are omnipresent in epidemiology due to confidentiality issues: it is much more common to know the county in which an…

统计方法学 · 统计学 2017-04-20 Benjamin M. Taylor , Ricardo Andrade-Pacheco , Hugh J. W. Sturrock

The last two decades have seen a major expansion in the availability, size, and precision of time-domain datasets in astronomy. Owing to their unique combination of flexibility, mathematical simplicity and comparative robustness, Gaussian…

天体物理仪器与方法 · 物理学 2022-11-11 Suzanne Aigrain , Daniel Foreman-Mackey

Spatial survival analysis has received a great deal of attention over the last 20 years due to the important role that geographical information can play in predicting survival. This paper provides an introduction to a set of programs for…

统计计算 · 统计学 2018-04-25 Haiming Zhou , Timothy Hanson , Jiajia Zhang

Many statistical models are algebraic in that they are defined by polynomial constraints or by parameterizations that are polynomial or rational maps. This opens the door for tools from computational algebraic geometry. These tools can be…

统计理论 · 数学 2007-06-13 Mathias Drton

A spatial curve dynamical model framework is adopted for functional prediction of counts in a spatiotemporal log-Gaussian Cox process model. Our spatial functional estimation approach handles both wavelet-based heterogeneity analysis in…

统计方法学 · 统计学 2020-10-09 Torres-Signes , M. P. Frías , J. Mateu , M. D. Ruiz-Medina

Linear quantile regression is a powerful tool to investigate how predictors may affect a response heterogeneously across different quantile levels. Unfortunately, existing approaches find it extremely difficult to adjust for any dependency…

统计方法学 · 统计学 2019-10-30 Xu Chen , Surya T. Tokdar

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…

机器学习 · 统计学 2015-11-25 Leo L. Duan , Xia Wang , Rhonda D. Szczesniak

This review article focuses on regularised estimation procedures applicable to geostatistical and spatial econometric models. These methods are particularly relevant in the case of big geospatial data for dimensionality reduction or model…

统计方法学 · 统计学 2026-04-30 Philipp Otto , Alessandro Fassò , Paolo Maranzano

In this paper, we suggest using a skew Gaussian-log Gaussian model for the analysis of spatial censored data from a Bayesian point of view. This approach furnishes an extension of the skew log Gaussian model to accommodate to both skewness…

应用统计 · 统计学 2018-11-28 Vahid Tadayon

This paper introduces Gaussian Spatial Transport (GST), a novel framework that leverages Gaussian splatting to facilitate transport from the probability measure in the image coordinate space to the annotation map. We propose a Gaussian…

计算机视觉与模式识别 · 计算机科学 2025-11-25 Miao Shang , Xiaopeng Hong

We introduce a Bayesian non-parametric spatial factor analysis model with spatial dependency induced through a prior on factor loadings. For each column of the loadings matrix, spatial dependency is encoded using a probit stick-breaking…

统计方法学 · 统计学 2019-11-12 Samuel I. Berchuck , Mark Janko , Felipe A. Medeiros , William Pan , Sayan Mukherjee