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With a large proportion of people carrying location-aware smartphones, we have an unprecedented platform from which to understand individuals and predict their future actions. This work builds upon the Context Tree data structure that…

人工智能 · 计算机科学 2016-10-06 Alasdair Thomason , Nathan Griffiths , Victor Sanchez

Tree-based models have been successfully applied to a wide variety of tasks, including time series forecasting. They are increasingly in demand and widely accepted because of their comparatively high level of interpretability. However, many…

机器学习 · 计算机科学 2024-01-03 Matthias Jakobs , Amal Saadallah

Frequentist and Bayesian methods differ in many aspects, but share some basic optimal properties. In real-life classification and regression problems, situations exist in which a model based on one of the methods is preferable based on some…

统计方法学 · 统计学 2023-08-29 Tanujit Chakraborty , Gauri Kamat , Ashis Kumar Chakraborty

Mixture model-based frameworks are very popular for statistical inference in clustering. While convenient for producing probabilistic estimates of cluster assignments and uncertainty, they are prone to misspecification, which can lead to…

统计理论 · 数学 2026-05-15 Yu Zheng , Leo L. Duan , Arkaprava Roy

Approximate Bayesian Computation (ABC) has gained popularity as a method for conducting inference and forecasting in complex models, most notably those which are intractable in some sense. In this paper we use ABC to produce probabilistic…

统计方法学 · 统计学 2023-11-03 Chaya Weerasinghe , Ruben Loaiza-Maya , Gael M. Martin , David T. Frazier

We discuss Bayesian model uncertainty analysis and forecasting in sequential dynamic modeling of multivariate time series. The perspective is that of a decision-maker with a specific forecasting objective that guides thinking about relevant…

统计方法学 · 统计学 2022-06-07 Isaac Lavine , Michael Lindon , Mike West

This article introduces a flexible and adaptive nonparametric method for estimating the association between multiple covariates and power spectra of multiple time series. The proposed approach uses a Bayesian sum of trees model to capture…

统计方法学 · 统计学 2021-10-01 Yakun Wang , Zeda Li , Scott A. Bruce

A Behavior Tree (BT) is a way to structure the switching between different tasks in an autonomous agent, such as a robot or a virtual entity in a computer game. BTs are a very efficient way of creating complex systems that are both modular…

机器人学 · 计算机科学 2022-10-26 Michele Colledanchise , Petter Ögren

This paper explores and develops alternative statistical representations and estimation approaches for dynamic mortality models. The framework we adopt is to reinterpret popular mortality models such as the Lee-Carter class of models in a…

统计金融 · 定量金融 2020-08-04 Man Chung Fung , Gareth W. Peters , Pavel V. Shevchenko

Cluster randomized trials (CRTs) offer a practical alternative for addressing logistical challenges and ensuring feasibility in community health, education, and prevention studies, even though randomized controlled trials are considered the…

统计方法学 · 统计学 2025-10-30 Jooyeon Lee , M. S. , Evan Kwiatkowski , Ph. D

General circulation models (GCMs) are essential tools for climate studies. Such climate models may have varying accuracy across the input domain, but no model is uniformly best. One can improve climate model prediction performance by…

统计方法学 · 统计学 2026-01-27 John C. Yannotty , Thomas J. Santner , Bo Li , Matthew T. Pratola

Clustered data, which arise when observations are nested within groups, are incredibly common in clinical, education, and social science research. Traditionally, a linear mixed model, which includes random effects to account for…

统计方法学 · 统计学 2026-02-04 Kevin McCoy , Zachary Wooten , Katarzyna Tomczak , Christine B. Peterson

Bayesian regression trees are flexible non-parametric models that are well suited to many modern statistical regression problems. Many such tree models have been proposed, from the simple single- tree model to more complex tree ensembles.…

统计计算 · 统计学 2013-12-09 M. T. Pratola

In this work, we introduce a generalized framework for multiscale state-space modeling that incorporates nested nonlinear dynamics, with a specific focus on Bayesian learning under switching regimes. Our framework captures the complex…

机器学习 · 统计学 2024-10-31 Nayely Vélez-Cruz , Manfred D. Laubichler

When making predictions about ecosystems, we often have available a number of different ecosystem models that attempt to represent their dynamics in a detailed mechanistic way. Each of these can be used as simulators of large-scale…

Bayesian Additive Regression Trees (BART) are a powerful ensemble learning technique for modeling nonlinear regression functions. Although initially BART was proposed for predicting only continuous and binary response variables, over the…

统计理论 · 数学 2026-03-24 Enakshi Saha

Data collection at a massive scale is becoming ubiquitous in a wide variety of settings, from vast offline databases to streaming real-time information. Learning algorithms deployed in such contexts must rely on single-pass inference, where…

统计方法学 · 统计学 2012-01-27 Christoforos Anagnostopoulos , Robert B. Gramacy

Time-series forecasting is crucial for numerous real-world applications including weather prediction and financial market modeling. While temporal-domain methods remain prevalent, frequency-domain approaches can effectively capture…

机器学习 · 计算机科学 2025-08-05 Zhixuan Li , Naipeng Chen , Seonghwa Choi , Sanghoon Lee , Weisi Lin

We examine the problem of making reconciled forecasts of large collections of related time series through a behavioural/Bayesian lens. Our approach explicitly acknowledges and exploits the 'connectedness' of the series in terms of…

统计方法学 · 统计学 2022-10-03 Ross Hollyman , Fotios Petropoulos , Michael E. Tipping

Exposing latent knowledge in geospatial trajectories has the potential to provide a better understanding of the movements of individuals and groups. Motivated by such a desire, this work presents the context tree, a new hierarchical data…

数据结构与算法 · 计算机科学 2016-10-12 Alasdair Thomason , Nathan Griffiths , Victor Sanchez