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Analyses of heterogeneous treatment effects (HTE) are common in applied causal inference research. However, when outcomes are latent variables assessed via psychometric instruments such as educational tests, standard methods ignore the…

计量经济学 · 经济学 2025-06-27 Joshua B. Gilbert , Zachary Himmelsbach , James Soland , Mridul Joshi , Benjamin W. Domingue

Projection predictive inference is a decision theoretic Bayesian approach that decouples model estimation from decision making. Given a reference model previously built including all variables present in the data, projection predictive…

统计方法学 · 统计学 2020-10-15 Alejandro Catalina , Paul-Christian Bürkner , Aki Vehtari

Gaussian processes (GP) are powerful tools for probabilistic modeling purposes. They can be used to define prior distributions over latent functions in hierarchical Bayesian models. The prior over functions is defined implicitly by the mean…

The Gaussian process (GP) regression model is a widely employed surrogate modeling technique for computer experiments, offering precise predictions and statistical inference for the computer simulators that generate experimental data.…

统计方法学 · 统计学 2024-04-02 Lulu Kang , Yuanxing Cheng , Yiwei Wang , Chun Liu

State-space models are successfully used in many areas of science, engineering and economics to model time series and dynamical systems. We present a fully Bayesian approach to inference \emph{and learning} (i.e. state estimation and system…

机器学习 · 统计学 2013-12-18 Roger Frigola , Fredrik Lindsten , Thomas B. Schön , Carl E. Rasmussen

Accuracy-based evaluation of Large Language Models (LLMs) measures benchmark-specific performance rather than underlying medical competency: it treats all questions as equally informative, conflates model ability with item characteristics,…

计算与语言 · 计算机科学 2026-04-07 Zhimeng Luo , Lixin Wu , Adam Frisch , Daqing He

The Inertia Relief (IR) technique is widely used by industry and produces equilibrated loads allowing to analyze unconstrained systems without resorting to the more expensive full dynamic analysis. The main goal of this work is to develop a…

数值分析 · 数学 2020-12-04 F. Cavaliere , S. Zlotnik , R. Sevilla , X. Larrayoz , P. Diez

Covariate measurement error in nonparametric regression is a common problem in nutritional epidemiology and geostatistics, and other fields. Over the last two decades, this problem has received substantial attention in the frequentist…

统计理论 · 数学 2023-01-27 Shuang Zhou , Debdeep Pati , Tianying Wang , Yun Yang , Raymond J. Carroll

Gaussian processes are a flexible Bayesian nonparametric modelling approach that has been widely applied but poses computational challenges. To address the poor scaling of exact inference methods, approximation methods based on sparse…

机器学习 · 统计学 2021-06-01 Rui Meng , Herbert Lee , Soper Braden , Priyadip Ray

Friction modeling has always been a challenging problem due to the complexity of real physical systems. Although a few state-of-the-art structured data-driven methods show their efficiency in nonlinear system modeling, deterministic…

系统与控制 · 电气工程与系统科学 2024-05-28 Rui Dai , Giulio Evangelisti , Sandra Hirche

Recent state-of-the-art artificial agents lack the ability to adapt rapidly to new tasks, as they are trained exclusively for specific objectives and require massive amounts of interaction to learn new skills. Meta-reinforcement learning…

机器学习 · 计算机科学 2022-03-23 Zhenshan Bing , Lukas Knak , Fabrice Oliver Robin , Kai Huang , Alois Knoll

Using instruments comprising ordered responses to items are ubiquitous for studying many constructs of interest. However, using such an item response format may lead to items with response categories infrequently endorsed or unendorsed…

统计方法学 · 统计学 2024-05-02 R. Noah Padgett , Grant B. Morgan , Tim Lomas

Multi-subject fMRI studies are challenging due to the high variability of both brain anatomy and functional brain topographies across participants. An effective way of aggregating multi-subject fMRI data is to extract a shared…

神经元与认知 · 定量生物学 2020-09-08 MohammadReza Ebrahimi , Navona Calarco , Kieran Campbell , Colin Hawco , Aristotle Voineskos , Ashish Khisti

The estimation of parameters from data is a common problem in many areas of the physical sciences, and frequently used algorithms rely on sets of simulated data which are fit to data. In this article, an analytic solution for…

数据分析、统计与概率 · 物理学 2022-09-27 Daniel Britzger

In this paper, we propose a derivative-free model learning framework for Reinforcement Learning (RL) algorithms based on Gaussian Process Regression (GPR). In many mechanical systems, only positions can be measured by the sensing…

机器学习 · 计算机科学 2020-02-26 Alberto Dalla Libera , Diego Romeres , Devesh K. Jha , Bill Yerazunis , Daniel Nikovski

Parameter identification problems in partial differential equations (PDEs) consist in determining one or more functional coefficient in a PDE. In this article, the Bayesian nonparametric approach to such problems is considered. Focusing on…

统计理论 · 数学 2025-04-24 Matteo Giordano

We introduce Gaussian Articulated Template Model GART, an explicit, efficient, and expressive representation for non-rigid articulated subject capturing and rendering from monocular videos. GART utilizes a mixture of moving 3D Gaussians to…

计算机视觉与模式识别 · 计算机科学 2023-11-28 Jiahui Lei , Yufu Wang , Georgios Pavlakos , Lingjie Liu , Kostas Daniilidis

Information theoretic active learning has been widely studied for probabilistic models. For simple regression an optimal myopic policy is easily tractable. However, for other tasks and with more complex models, such as classification with…

机器学习 · 统计学 2011-12-30 Neil Houlsby , Ferenc Huszár , Zoubin Ghahramani , Máté Lengyel

Gaussian processes are Bayesian non-parametric models used in many areas. In this work, we propose a Non-stationary Heteroscedastic Gaussian process model which can be learned with gradient-based techniques. We demonstrate the…

机器学习 · 计算机科学 2022-12-26 Zeel B Patel , Nipun Batra , Kevin Murphy

Gaussian process latent variable models (GPLVM) are a flexible and non-linear approach to dimensionality reduction, extending classical Gaussian processes to an unsupervised learning context. The Bayesian incarnation of the GPLVM Titsias…

机器学习 · 计算机科学 2022-10-31 Vidhi Lalchand , Aditya Ravuri , Neil D. Lawrence
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