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We propose a new data-augmentation strategy for fully Bayesian inference in models with binomial likelihoods. The approach appeals to a new class of Polya-Gamma distributions, which are constructed in detail. A variety of examples are…

统计方法学 · 统计学 2015-03-20 Nicholas G. Polson , James G. Scott , Jesse Windle

Many data are naturally modeled by an unobserved hierarchical structure. In this paper we propose a flexible nonparametric prior over unknown data hierarchies. The approach uses nested stick-breaking processes to allow for trees of…

统计方法学 · 统计学 2010-06-08 Ryan Prescott Adams , Zoubin Ghahramani , Michael I. Jordan

Recognizing the successes of treed Gaussian process (TGP) models as an interpretable and thrifty model for nonparametric regression, we seek to extend the model to classification. Both treed models and Gaussian processes (GPs) have,…

统计方法学 · 统计学 2010-09-28 Tamara Broderick , Robert B. Gramacy

One of the main challenges in current systems neuroscience is the analysis of high-dimensional neuronal and behavioral data that are characterized by different statistics and timescales of the recorded variables. We propose a parametric…

统计方法学 · 统计学 2020-08-04 Nina Kudryashova , Theoklitos Amvrosiadis , Nathalie Dupuy , Nathalie Rochefort , Arno Onken

Most of applied statistics involves regression analysis of data. This paper presents a stand-alone and menu-driven software package, Bayesian Regression: Nonparametric and Parametric Models. Currently, this package gives the user a choice…

统计计算 · 统计学 2015-07-15 George Karabatsos

1. Accurate estimates of demographic parameters are required to infer appropriate ecological relationships and inform management actions. Recently developed N-mixture models use count data from unmarked individuals to estimate demographic…

定量方法 · 定量生物学 2015-12-29 Joshua H. Schmidt , Devin S. Johnson , Mark S. Lindberg , Layne G. Adams

Comparing competing mathematical models of complex natural processes is a shared goal among many branches of science. The Bayesian probabilistic framework offers a principled way to perform model comparison and extract useful metrics for…

Poaching poses significant threats to wildlife and biodiversity. A valuable step in reducing poaching is to forecast poacher behavior, which can inform patrol planning and other conservation interventions. Existing poaching prediction…

机器学习 · 计算机科学 2025-08-29 Lingkai Kong , Haichuan Wang , Charles A. Emogor , Vincent Börsch-Supan , Lily Xu , Milind Tambe

Elitism, which constructs the new population by preserving best solutions out of the old population and newly-generated solutions, has been a default way for population update since its introduction into multi-objective evolutionary…

神经与进化计算 · 计算机科学 2023-05-29 Zimin Liang , Miqing Li , Per Kristian Lehre

Raking is widely used in categorical data modeling and survey practice but faced with methodological and computational challenges. We develop a Bayesian paradigm for raking by incorporating the marginal constraints as a prior distribution…

统计方法学 · 统计学 2020-06-24 Yajuan Si , Peigen Zhou

We propose an iterative method to safely learn the unmodeled dynamics of a nonlinear system using Bayesian Gaussian process (GP) models with polynomial kernel functions. The method maintains safety by ensuring that the system state stays…

系统与控制 · 电气工程与系统科学 2020-04-03 Alex Devonport , He Yin , Murat Arcak

The study of interactions between multiple species in an ecosystem is an active and impactful direction of inquiry. This is true in particular for fragile systems in which even small perturbations of their functional parameters can produce…

种群与进化 · 定量生物学 2025-01-14 Anca Radulescu , Richard Halpern , Drew Kozlowski , Conor O'Riordan

Based on decision trees, many fields have arguably made tremendous progress in recent years. In simple words, decision trees use the strategy of "divide-and-conquer" to divide the complex problem on the dependency between input features and…

机器学习 · 计算机科学 2021-01-22 Jinxiong Zhang

We propose the use of finite mixtures of continuous distributions in modelling the process by which new individuals, that arrive in groups, become part of a wildlife population. We demonstrate this approach using a data set of migrating…

应用统计 · 统计学 2015-12-17 E. Matechou , G. Nicholls , B. J. T. Morgan , J. A. Collazo , J. E. Lyons

Joint distributions over many variables are frequently modeled by decomposing them into products of simpler, lower-dimensional conditional distributions, such as in sparsely connected Bayesian networks. However, automatically learning such…

机器学习 · 计算机科学 2013-01-07 Scott Davies , Andrew Moore

This article presents a new way to understand the descriptive ability of tree shape statistics. Where before tree shape statistics were chosen by their ability to distinguish between macroevolutionary models, the ``resolution'' presented in…

种群与进化 · 定量生物学 2007-05-23 Frederick A. Matsen

A decision tree is commonly restricted to use a single hyperplane to split the covariate space at each of its internal nodes. It often requires a large number of nodes to achieve high accuracy, hurting its interpretability. In this paper,…

机器学习 · 计算机科学 2020-10-23 Mohammadreza Armandpour , Mingyuan Zhou

Given i.i.d. data from an unknown distribution, we consider the problem of predicting future items. An adaptive way to estimate the probability density is to recursively subdivide the domain to an appropriate data-dependent granularity. A…

概率论 · 数学 2009-12-30 Marcus Hutter

We propose Partition Tree, a novel tree-based framework for conditional density estimation over general outcome spaces that supports both continuous and categorical variables within a unified formulation. Our approach models conditional…

机器学习 · 计算机科学 2026-05-13 Felipe Angelim , Alessandro Leite

This work focuses on clustering populations with a hierarchical dependency structure that can be described by a tree. A particular example that is the focus of our work is the phylogenetic tree, with nodes often representing biological…

统计方法学 · 统计学 2023-02-28 Hanxi Sun , Heejung Shim , Vinayak Rao