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We address regularised versions of the Expectation-Maximisation (EM) algorithm for Generalised Linear Mixed Models (GLMM) in the context of panel data (measured on several individuals at different time-points). A random response y is…

统计方法学 · 统计学 2019-08-21 Jocelyn Chauvet , Catherine Trottier , Xavier Bry

Neural networks have proven successful at learning from complex data distributions by acting as universal function approximators. However, they are often overconfident in their predictions, which leads to inaccurate and miscalibrated…

机器学习 · 计算机科学 2021-02-23 Jeffrey Willette , Juho Lee , Sung Ju Hwang

In this work we address the problem of approximating high-dimensional data with a low-dimensional representation. We make the following contributions. We propose an inverse regression method which exchanges the roles of input and response,…

机器学习 · 计算机科学 2015-09-04 Antoine Deleforge , Florence Forbes , Radu Horaud

We propose a new method for multivariate response regression and covariance estimation when elements of the response vector are of mixed types, for example some continuous and some discrete. Our method is based on a model which assumes the…

统计方法学 · 统计学 2022-03-04 Karl Oskar Ekvall , Aaron J. Molstad

Reference panel-based estimators have become widely used in genetic prediction of complex traits due to their ability to address data privacy concerns and reduce computational and communication costs. These estimators estimate the…

统计方法学 · 统计学 2024-01-23 Buxin Su , Qiang Sun , Xiaochen Yang , Bingxin Zhao

High-dimensional statistical inference deals with models in which the the number of parameters p is comparable to or larger than the sample size n. Since it is usually impossible to obtain consistent procedures unless $p/n\rightarrow0$, a…

统计理论 · 数学 2013-03-13 Sahand N. Negahban , Pradeep Ravikumar , Martin J. Wainwright , Bin Yu

Regularization is a critical technique for ensuring well-posedness in solving inverse problems with incomplete measurement data. Traditionally, the regularization term is designed based on prior knowledge of the unknown signal's…

数值分析 · 数学 2024-12-16 Bosu Choi , Jihun Han , Yoonsang Lee

Under-coverage and nonresponse problems are jointly present in most socio-economic surveys. The purpose of this paper is to propose a completely design-based estimation strategy that accounts for both problems without resorting to models…

统计理论 · 数学 2019-05-10 Maria Michela Dickson , Giuseppe Espa , Lorenzo Fattorini

Advancements in modern science have led to the increasing availability of non-Euclidean data in metric spaces. This paper addresses the challenge of modeling relationships between non-Euclidean responses and multivariate Euclidean…

统计方法学 · 统计学 2025-05-13 Su I Iao , Yidong Zhou , Hans-Georg Müller

As an effective nonparametric method, empirical likelihood (EL) is appealing in combining estimating equations flexibly and adaptively for incorporating data information. To select important variables and estimating equations in the sparse…

统计方法学 · 统计学 2021-07-02 Jiaqi Li , Liya Fu

It is well known that popular optimization techniques can lead to overfitting or even a lack of convergence altogether; thus, practitioners often utilize ad hoc regularization terms added to the energy functional. When carefully crafted,…

计算机视觉与模式识别 · 计算机科学 2020-08-18 Michael Bao , David Hyde , Xinru Hua , Ronald Fedkiw

A classical result in risk measure theory states that every coherent risk measure has a dual representation as the supremum of certain expected value over a risk envelope. We study this topic in more detail. The related issues include: 1.…

最优化与控制 · 数学 2018-02-28 Marcus Ang , Jie Sun , Qiang Yao

Model-based planners for partially observable problems must accommodate both model uncertainty during planning and goal uncertainty during objective inference. However, model-based planners may be brittle under these types of uncertainty…

A central theme in the field of survey statistics is estimating population-level quantities through data coming from potentially non-representative samples of the population. Multilevel Regression and Poststratification (MRP), a model-based…

统计方法学 · 统计学 2020-07-17 Yuxiang Gao , Lauren Kennedy , Daniel Simpson , Andrew Gelman

A promising way to improve the sample efficiency of reinforcement learning is model-based methods, in which many explorations and evaluations can happen in the learned models to save real-world samples. However, when the learned model has a…

机器学习 · 计算机科学 2022-09-14 Haoxin Lin , Yihao Sun , Jiaji Zhang , Yang Yu

In scientific applications, multivariate observations often come in tandem with temporal or spatial covariates, with which the underlying signals vary smoothly. The standard approaches such as principal component analysis and factor…

统计理论 · 数学 2019-10-15 Mark Koudstaal , Dengdeng Yu , Dehan Kong , Fang Yao

Autoencoders are popular among neural-network-based matrix completion models due to their ability to retrieve potential latent factors from the partially observed matrices. Nevertheless, when training data is scarce their performance is…

机器学习 · 计算机科学 2018-07-06 Duc Minh Nguyen , Evaggelia Tsiligianni , Robert Calderbank , Nikos Deligiannis

Regularization method and Bayesian inverse method are two dominating ways for solving inverse problems generated from various fields, e.g., seismic exploration and medical imaging. The two methods are related with each other by the MAP…

数值分析 · 数学 2019-06-18 Junxiong Jia , Qihang Sun , Bangyu Wu , Jigen Peng

We show that empirical risk minimization procedures and regularized empirical risk minimization procedures satisfy nonexact oracle inequalities in an unbounded framework, under the assumption that the class has a subexponential envelope…

统计理论 · 数学 2012-06-06 Guillaume Lecué , Shahar Mendelson

Regularization is important for end-to-end speech models, since the models are highly flexible and easy to overfit. Data augmentation and dropout has been important for improving end-to-end models in other domains. However, they are…

计算与语言 · 计算机科学 2017-12-20 Yingbo Zhou , Caiming Xiong , Richard Socher