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We propose an interdisciplinary framework that combines Bayesian predictive inference, a well-established tool in Machine Learning, with Formal Methods rooted in the computer science community. Bayesian predictive inference allows for…

统计计算 · 统计学 2025-08-21 Laura Vana , Ennio Visconti , Laura Nenzi , Annalisa Cadonna , Gregor Kastner

Inverse problems are the task of calibrating models to match data. They play a pivotal role in diverse engineering applications by allowing practitioners to align models with reality. In many applications, engineers and scientists do not…

机器学习 · 计算机科学 2026-03-05 Pengyu Zhang , Arnaud Vadeboncoeur , Alex Glyn-Davies , Mark Girolami

Random forest (RF) stands out as a highly favored machine learning approach for classification problems. The effectiveness of RF hinges on two key factors: the accuracy of individual trees and the diversity among them. In this study, we…

机器学习 · 计算机科学 2024-10-28 Ye-eun Kim , Seoung Yun Kim , Hyunjoong Kim

A popular method for indexing numerical representations is to compute an individual estimate of a response time effect, such as the SNARC effect or the numerical distance effect. Classically, this is done by estimating individual linear…

应用统计 · 统计学 2017-10-24 Thomas J. Faulkenberry

Joint models (JMs) for longitudinal and time-to-event data are an important class of biostatistical models in health and medical research. When the study population consists of heterogeneous subgroups, the standard JM may be inadequate and…

统计方法学 · 统计学 2024-10-31 Sida Chen , Danilo Alvares , Marco Palma , Jessica K. Barrett

Previous likelihood-based linear modeling of nutritional data has been limited by the availability of software that allows flexible error structures in the data. We demonstrate the use of a Bayesian modeling approach to the analysis of such…

统计理论 · 数学 2007-06-13 Andrew Lawson , Daniela Nitcheva

Surrogate models are often used as computationally efficient approximations to complex simulation models, enabling tasks such as solving inverse problems, sensitivity analysis, and probabilistic forward predictions, which would otherwise be…

机器学习 · 统计学 2026-05-13 Philipp Reiser , Paul-Christian Bürkner , Anneli Guthke

The effect of syntactic priming exhibits three well-documented empirical properties: the lexical boost, the inverse frequency effect, and the asymmetrical decay. We aim to show how these three empirical phenomena can be reconciled in a…

计算与语言 · 计算机科学 2024-05-28 Weijie Xu , Richard Futrell

Few-Shot Classification(FSC) aims to generalize from base classes to novel classes given very limited labeled samples, which is an important step on the path toward human-like machine learning. State-of-the-art solutions involve learning to…

计算机视觉与模式识别 · 计算机科学 2024-09-05 Xiongkun Linghu , Yan Bai , Yihang Lou , Shengsen Wu , Jinze Li , Jianzhong He , Tao Bai

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

There is increasing interest in learning how human brain networks vary as a function of a continuous trait, but flexible and efficient procedures to accomplish this goal are limited. We develop a Bayesian semiparametric model, which…

统计方法学 · 统计学 2017-02-02 Lu Wang , Daniele Durante , Rex E. Jung , David B. Dunson

We propose a probabilistic modeling framework for learning the dynamic patterns in the collective behaviors of social agents and developing profiles for different behavioral groups, using data collected from multiple information sources.…

机器学习 · 统计学 2016-06-28 Lin Li , Ananthram Swami , Anna Scaglione

We present a hierarchical Bayesian inference approach to estimating the structural properties and the phase space center of a globular cluster (GC) given the spatial and kinematic information of its stars based on lowered isothermal cluster…

星系天体物理 · 物理学 2023-11-21 Robin Y. Wen , Joshua S. Speagle , Jeremy J. Webb , Gwendolyn M. Eadie

It is difficult to use subsampling with variational inference in hierarchical models since the number of local latent variables scales with the dataset. Thus, inference in hierarchical models remains a challenge at large scale. It is…

机器学习 · 计算机科学 2021-11-08 Abhinav Agrawal , Justin Domke

This thesis responds to the challenges of using a large number, such as thousands, of features in regression and classification problems. There are two situations where such high dimensional features arise. One is when high dimensional…

机器学习 · 统计学 2007-09-20 Longhai Li

This paper presents a hierarchical Bayesian model to reconstruct sparse images when the observations are obtained from linear transformations and corrupted by an additive white Gaussian noise. Our hierarchical Bayes model is well suited to…

数据分析、统计与概率 · 物理学 2011-01-19 Nicolas Dobigeon , Alfred O. Hero , Jean-Yves Tourneret

It is crucial to learn the shared structures among functional predictors, as these structures characterize how predictor components exert common effects and, more generally, how predictors are homogeneously associated with the response.…

统计方法学 · 统计学 2026-04-27 Shuhao Jiao , Hernando Ombao , Ian W. McKeague

In this paper, we extend and analyze a Bayesian hierarchical spatio-temporal model for physical systems. A novelty is to model the discrepancy between the output of a computer simulator for a physical process and the actual process values…

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

Dynamic models have been successfully used in producing estimates of HIV epidemics at national level, due to their epidemiological nature and their ability to simultaneously estimate prevalence, incidence, and mortality rates. Recently, HIV…

统计方法学 · 统计学 2016-02-19 Le Bao , Ben Sheng , Xiaoyue Niu , Yuan Tang , Tim Brown , Peter D. Ghys , Jeff W. Eaton