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Rich new marked point process data allow researchers to consider disparate problems such as the factors affecting the location and type of police use of force incidents, and the characteristics that impact the location and size of forest…

统计方法学 · 统计学 2023-03-06 Claire Kelling , Murali Haran

Gaussian processes (GPs) are frequently used in machine learning and statistics to construct powerful models. However, when employing GPs in practice, important considerations must be made, regarding the high computational burden,…

统计计算 · 统计学 2021-03-08 Karla Monterrubio-Gómez , Sara Wade

In this paper, we introduce the notion of Gaussian processes indexed by probability density functions for extending the Mat\'ern family of covariance functions. We use some tools from information geometry to improve the efficiency and the…

统计方法学 · 统计学 2020-11-09 A. Fradi , Y. Feunteun , C. Samir , M. Baklouti , F. Bachoc , J-M. Loubes

We propose a novel tree-based ensemble method, named XGBoostPP, to nonparametrically estimate the intensity of a point process as a function of covariates. It extends the use of gradient-boosted regression trees (Chen & Guestrin, 2016) to…

统计方法学 · 统计学 2024-02-01 C. Lu , Y. Guan , M. N. M. van Lieshout , G. Xu

We introduce a novel kernel that models input-dependent couplings across multiple latent processes. The pairwise joint kernel measures covariance along inputs and across different latent signals in a mutually-dependent fashion. A latent…

机器学习 · 统计学 2017-10-04 Sami Remes , Markus Heinonen , Samuel Kaski

We propose a new perspective for the evaluation of matching procedures by considering the complexity of the function class they belong to. Under this perspective we provide theoretical guarantees on post-matching covariate balance through a…

统计理论 · 数学 2023-01-04 Efrén Cruz Cortés , Kevin Josey , Fan Yang , Debashis Ghosh

This article presents an approach to Bayesian semiparametric inference for Gaussian multivariate response regression. We are motivated by various small and medium dimensional problems from the physical and social sciences. The statistical…

统计方法学 · 统计学 2020-06-18 Georgios Papageorgiou , Benjamin C. Marshall

This paper studies nonparametric estimation of parameters of multivariate Hawkes processes. We consider the Bayesian setting and derive posterior concentration rates. First rates are derived for L1-metrics for stochastic intensities of the…

统计理论 · 数学 2018-03-28 Sophie Donnet , Vincent Rivoirard , Judith Rousseau

We present the Mixed Likelihood Gaussian process latent variable model (GP-LVM), capable of modeling data with attributes of different types. The standard formulation of GP-LVM assumes that each observation is drawn from a Gaussian…

机器学习 · 计算机科学 2018-11-20 Samuel Murray , Hedvig Kjellström

We apply Gaussian process (GP) regression, which provides a powerful non-parametric probabilistic method of relating inputs to outputs, to survival data consisting of time-to-event and covariate measurements. In this context, the covariates…

统计理论 · 数学 2014-09-08 James E. Barrett , Anthony C. C. Coolen

Causal inference is a critical research area with multi-disciplinary origins and applications, ranging from statistics, computer science, economics, psychology to public health. In many scientific research, randomized experiments provide a…

统计方法学 · 统计学 2022-07-26 Jingying Zeng

In this article, we propose a new method for calculating the mixed correlation coefficient (Pearson, polyserial and polychoric) matrix and its covariance matrix based on the GMM framework. We build moment equations for each coefficient and…

统计计算 · 统计学 2024-04-11 Ben Liu , Peng Zhang , Yi Feng , Xiaowei Lou

In this paper, we propose new semiparametric procedures for making inference on linear functionals and their functions of two semicontinuous populations. The distribution of each population is usually characterized by a mixture of a…

统计方法学 · 统计学 2020-12-21 Meng Yuan , Chunlin Wang , Boxi Lin , Pengfei Li

Large-scale Gaussian process inference has long faced practical challenges due to time and space complexity that is superlinear in dataset size. While sparse variational Gaussian process models are capable of learning from large-scale data,…

机器学习 · 统计学 2018-01-23 Ching-An Cheng , Byron Boots

In this paper, we develop a computationally efficient discrete approximation to log-Gaussian Cox process (LGCP) models for the analysis of spatially aggregated disease count data. Our approach overcomes an inherent limitation of spatial…

统计方法学 · 统计学 2019-08-29 Olatunji Johnson , Peter Diggle , Emanuele Giorgi

Item nonresponse is frequently encountered in practice. Ignoring missing data can lose efficiency and lead to misleading inference. Fractional imputation is a frequentist approach of imputation for handling missing data. However, the…

统计方法学 · 统计学 2018-09-18 Hejian Sang , Jae Kwang Kim

This paper introduces a new modelling framework for multivariate anisotropic Cox processes. Building on recent innovations in multivariate spatial statistics, we propose a new family of multivariate anisotropic random fields and construct a…

统计方法学 · 统计学 2018-08-14 James S. Martin , David J. Murrell , Sofia C. Olhede

In Bayesian inference for the Cox proportional hazards model, modeling the baseline hazard function is challenging. Recently, direct Bayesian inference using the partial likelihood is considered in the framework of general Bayesian…

统计方法学 · 统计学 2026-04-29 Tomohiro Ohigashi , Shunichiro Orihara , Shonosuke Sugasawa

Gaussian processes (GPs) are nonparametric priors over functions. Fitting a GP implies computing a posterior distribution of functions consistent with the observed data. Similarly, deep Gaussian processes (DGPs) should allow us to compute a…

We reconsider a nonparametric density model based on Gaussian processes. By augmenting the model with latent P\'olya--Gamma random variables and a latent marked Poisson process we obtain a new likelihood which is conjugate to the model's…

机器学习 · 统计学 2018-05-30 Christian Donner , Manfred Opper