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Datasets containing large samples of time-to-event data arising from several small heterogeneous groups are commonly encountered in statistics. This presents problems as they cannot be pooled directly due to their heterogeneity or analyzed…

机器学习 · 统计学 2016-12-05 Alexandre Piché , Russell Steele , Ian Shrier , Stephanie Long

Dirichlet processes (DP) are widely applied in Bayesian nonparametric modeling. However, in their basic form they do not directly integrate dependency information among data arising from space and time. In this paper, we propose location…

机器学习 · 统计学 2017-07-04 Shiliang Sun , John Paisley , Qiuyang Liu

The Dirichlet process mixture (DPM) is a ubiquitous, flexible Bayesian nonparametric statistical model. However, full probabilistic inference in this model is analytically intractable, so that computationally intensive techniques such as…

机器学习 · 统计学 2014-11-05 Yordan P. Raykov , Alexis Boukouvalas , Max A. Little

We develop a Bayesian hierarchical semiparametric model for phenomena related to time series of counts. The main feature of the model is its capability to learn a latent pattern of heterogeneity in the distribution of the process innovation…

统计方法学 · 统计学 2019-07-09 Helton Graziadei , Hedibert F. Lopes , Paulo C. Marques F

Mixture models are probabilistic models aimed at uncovering and representing latent subgroups within a population. In the realm of network data analysis, the latent subgroups of nodes are typically identified by their connectivity…

统计方法学 · 统计学 2020-05-27 Giacomo De Nicola , Benjamin Sischka , Göran Kauermann

Identifying pure components in mixtures is a common yet challenging problem. The associated unmixing process requires the pure components, also known as endmembers, to be sufficiently spectrally distinct. Even with this requirement met,…

数据分析、统计与概率 · 物理学 2023-11-16 Oliver Hoidn , Aashwin Mishra , Apurva Mehta

Most population models assume that individuals within a given population are identical, that is, the fundamental role of variation is ignored. Inhomogeneous models of populations and communities allow for birth and death rates to vary among…

种群与进化 · 定量生物学 2007-05-23 Georgy P. Karev

Stochastic models for collections of interacting populations have crucial roles in scientific fields such as epidemiology and ecology, yet the standard approach to extending an ordinary differential equation model to a Markov chain does not…

统计方法学 · 统计学 2022-10-04 Ning Ning , Edward L. Ionides

Fossil-based palaeoclimate reconstruction is an important area of ecological science that has gained momentum in the backdrop of the global climate change debate. The hierarchical Bayesian paradigm provides an interesting platform for…

应用统计 · 统计学 2013-12-13 Sabyasachi Mukhopadhyay , Sourabh Bhattacharya

Bayesian non-parametric methods based on Dirichlet process mixtures have seen tremendous success in various domains and are appealing in being able to borrow information by clustering samples that share identical parameters. However, such…

统计方法学 · 统计学 2022-07-04 Suprateek Kundu , Joshua Lukemire

Analyzing data collected from multiple sources to estimate common and heterogeneous structures through a hierarchical model is a central task in Bayesian inference, and to this end, Bayesian factor models are one of the most widely used…

统计方法学 · 统计学 2026-03-04 Naoki Awaya , Keisuke Sasaki , Genya Kobayashi , Shonosuke Sugasawa

This paper describes a new algorithm for hyperspectral image unmixing. Most of the unmixing algorithms proposed in the literature do not take into account the possible spatial correlations between the pixels. In this work, a Bayesian model…

统计方法学 · 统计学 2012-09-05 Olivier Eches , Nicolas Dobigeon , Jean-Yves Tourneret

Developing effective multimodal fusion approaches has become increasingly essential in many real-world scenarios, such as health care and finance. The key challenge is how to preserve the feature expressiveness in each modality while…

机器学习 · 计算机科学 2025-10-24 Tsai Hor Chan , Feng Wu , Yihang Chen , Guosheng Yin , Lequan Yu

We present a consensus Monte Carlo algorithm that scales existing Bayesian nonparametric models for clustering and feature allocation to big data. The algorithm is valid for any prior on random subsets such as partitions and latent feature…

统计计算 · 统计学 2020-02-26 Yang Ni , Yuan Ji , Peter Mueller

Many astronomical surveys prompt follow-up observations, but the decision process through which candidates are selected for follow-up can be difficult to model. This poses a challenge when inferring properties of the intrinsic population of…

天体物理仪器与方法 · 物理学 2026-05-08 Reed Essick , Amanda M. Farah

The aggregation of microarray datasets originating from different studies is still a difficult open problem. Currently, best results are generally obtained by the so-called meta-analysis approach, which aggregates results from individual…

统计方法学 · 统计学 2015-10-28 Marie-Christine Roubaud , Bruno Torrésani

Risk prediction models using genetic data have seen increasing traction in genomics. However, most of the polygenic risk models were developed using data from participants with similar (mostly European) ancestry. This can lead to biases in…

机器学习 · 计算机科学 2022-05-11 Prashnna K Gyawali , Yann Le Guen , Xiaoxia Liu , Hua Tang , James Zou , Zihuai He

Principal component analysis (PCA) is commonly used in genetics to infer and visualize population structure and admixture between populations. PCA is often interpreted in a way similar to inferred admixture proportions, where it is assumed…

统计方法学 · 统计学 2023-02-10 Jan van Waaij , Song Li , Genís Garcia-Erill , Anders Albrechtsen , Carsten Wiuf

Conjugate pairs of distributions over infinite dimensional spaces are prominent in statistical learning theory, particularly due to the widespread adoption of Bayesian nonparametric methodologies for a host of models and applications. Much…

机器学习 · 计算机科学 2016-01-12 Robert Finn , Brian Kulis

We present a method for identification of models with good predictive performances in the family of Bayesian log-linear mixed models with Dirichlet process random effects. Such a problem arises in many different applications; here we…

统计方法学 · 统计学 2018-01-17 Cinzia Carota , Maurizio Filippone , Silvia Polettini