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A novel method, based on the combination of data assimilation and machine learning is introduced. The new hybrid approach is designed for a two-fold scope: (i) emulating hidden, possibly chaotic, dynamics and (ii) predicting their future…

机器学习 · 统计学 2020-07-27 Julien Brajard , Alberto Carassi , Marc Bocquet , Laurent Bertino

We address the problem of merging graph and feature-space information while learning a metric from structured data. Existing algorithms tackle the problem in an asymmetric way, by either extracting vectorized summaries of the graph…

机器学习 · 计算机科学 2020-02-17 Nicolo Colombo

In survey sampling, calibration is a very popular tool used to make total estimators consistent with known totals of auxiliary variables and to reduce variance. When the number of auxiliary variables is large, calibration on all the…

统计方法学 · 统计学 2015-12-15 H. Cardot , C. Goga , M. -A Shehzad

Subsampling algorithms for various parametric regression models with massive data have been extensively investigated in recent years. However, all existing studies on subsampling heavily rely on clean massive data. In practical…

统计理论 · 数学 2025-06-11 Jiangshan Ju , Mingqiu Wang , Shengli Zhao

Data integration methods aim to extract low-dimensional embeddings from high-dimensional outcomes to remove unwanted variations, such as batch effects and unmeasured covariates, across heterogeneous datasets. However, multiple hypothesis…

统计方法学 · 统计学 2025-12-15 Jin-Hong Du , Kathryn Roeder , Larry Wasserman

The use of big data in official statistics and the applied sciences is accelerating, but statistics computed using only big data often suffer from substantial selection bias. This leads to inaccurate estimation and invalid statistical…

统计方法学 · 统计学 2023-08-11 Ryan Covey , Lucca Buonamano

We propose a novel distributional regression model for a multivariate response vector based on a copula process over the covariate space. It uses the implicit copula of a Gaussian multivariate regression, which we call a ``regression…

统计方法学 · 统计学 2024-03-06 Nadja Klein , Michael Stanley Smith , David Nott , Ryan Chisholm

Regression models are essential for a wide range of real-world applications. However, in practice, target values are not always precisely known; instead, they may be represented as intervals of acceptable values. This challenge has led to…

机器学习 · 计算机科学 2025-12-08 Tung L Nguyen , Toby Dylan Hocking

A novel approach to improve prediction and inference in M-estimation by integrating external information from heterogeneous populations is proposed. Our method leverages joint asymptotics to combine estimates from external and internal…

统计方法学 · 统计学 2025-09-08 Walter Dempsey , Jeremy M. G. Taylor

For many use cases, combining information from different datasets can be of interest to improve a machine learning model's performance, especially when the number of samples from at least one of the datasets is small. However, a potential…

机器学习 · 统计学 2023-05-17 Thu Nguyen , Rabindra Khadka , Nhan Phan , Anis Yazidi , Pål Halvorsen , Michael A. Riegler

Modelling non-homogeneous and multi-component data is a problem that challenges scientific researchers in several fields. In general, it is not possible to find a simple and closed form probabilistic model to describe such data. That is why…

统计方法学 · 统计学 2017-12-27 Nehla Debbabi , Marie Kratz , Mamadou Mboup

In modern supervised learning, there are a large number of tasks, but many of them are associated with only a small amount of labeled data. These include data from medical image processing and robotic interaction. Even though each…

机器学习 · 计算机科学 2020-02-21 Weihao Kong , Raghav Somani , Zhao Song , Sham Kakade , Sewoong Oh

This article focuses on measurement error in covariates in regression analyses in which the aim is to estimate the association between one or more covariates and an outcome, adjusting for confounding. Error in covariate measurements, if…

统计方法学 · 统计学 2019-10-16 Ruth H. Keogh , Jonathan W. Bartlett

In the current insurance literature, prediction of insurance claims in the regression problem is often performed with a statistical model. This model-based approach may potentially suffer from several drawbacks: (i) model misspecification,…

机器学习 · 统计学 2025-09-30 Liang Hong

Subsampling is one of the popular methods to balance statistical efficiency and computational efficiency in the big data era. Most approaches aim at selecting informative or representative sample points to achieve good overall information…

统计方法学 · 统计学 2024-07-10 Haolin Chen , Holger Dette , Jun Yu

We propose a generalized partially linear functional single index risk score model for repeatedly measured outcomes where the index itself is a function of time. We fuse the nonparametric kernel method and regression spline method, and…

统计理论 · 数学 2015-10-15 Fei Jiang , Yanyuan Ma , Yuanjia Wang

Uncoupled regression is the problem to learn a model from unlabeled data and the set of target values while the correspondence between them is unknown. Such a situation arises in predicting anonymized targets that involve sensitive…

机器学习 · 计算机科学 2019-06-04 Liyuan Xu , Junya Honda , Gang Niu , Masashi Sugiyama

Segmented regression models offer model flexibility and interpretability as compared to the global parametric and the nonparametric models, and yet are challenging in both estimation and inference. We consider a four-regime segmented model…

统计方法学 · 统计学 2024-10-08 Han Yan , Song Xi Chen

Data assimilation is a method that combines observations (that is, real world data) of a state of a system with model output for that system in order to improve the estimate of the state of the system and thereby the model output. The model…

数值分析 · 数学 2020-05-18 Melina A. Freitag

In the context of computer models, calibration is the process of estimating unknown simulator parameters from observational data. Calibration is variously referred to as model fitting, parameter estimation/inference, an inverse problem, and…

统计方法学 · 统计学 2023-10-16 Richard D. Wilkinson , Christopher W. Lanyon