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Variable selection has been widely used in data analysis for the past decades, and it becomes increasingly important in the Big Data era as there are usually hundreds of variables available in a dataset. To enhance interpretability of a…

统计方法学 · 统计学 2020-08-17 Yuxiang Xie , Kwun Chuen Gary Chan

We focus on variational inference in dynamical systems where the discrete time transition function (or evolution rule) is modelled by a Gaussian process. The dominant approach so far has been to use a factorised posterior distribution,…

For high-dimensional classification, it is well known that naively performing the Fisher discriminant rule leads to poor results due to diverging spectra and noise accumulation. Therefore, researchers proposed independence rules to…

机器学习 · 统计学 2011-11-10 Jianqing Fan , Yang Feng , Xin Tong

Classification rules can be severely affected by the presence of disturbing observations in the training sample. Looking for an optimal classifier with such data may lead to unnecessarily complex rules. So, simpler effective classification…

统计理论 · 数学 2017-01-19 Marina Antolín , Eustasio Del Barrio , Jean-Michel Loubes

Accurate model selection is a fundamental requirement for statistical analysis. In many real-world applications of graphical modelling, correct model structure identification is the ultimate objective. Standard model validation procedures…

机器学习 · 统计学 2019-08-28 Robert O'Shea

The information criterion for determining the number of explanatory variables in a subset regression modeling is discussed. Information criterion such as AIC is effective and frequently used in model selection for ordinary regression models…

统计方法学 · 统计学 2023-09-18 Genshiro Kitagawa

To improve the utility and scalability of distributed radio frequency (RF) sensor and communication networks, reduce the need for convolutional neural network (CNN) retraining, and efficiently share learned information about signals, we…

信号处理 · 电气工程与系统科学 2020-08-12 J. B. Persons , Lauren J. Wong , W. Chris Headley , Michael C. Fowler

Surrogate models provide a quick-to-evaluate approximation to complex computational models and are essential for multi-query problems like design optimisation. The inputs of current deterministic computational models are usually…

应用统计 · 统计学 2024-10-15 Thomas A. Archbold , Ieva Kazlauskaite , Fehmi Cirak

Variability in multiple independent input parameters makes it difficult to estimate the resultant variability in the system's overall response. The Propagation of Errors and Monte-Carlo techniques are two major methods to predict the…

其他凝聚态物理 · 物理学 2026-04-28 Seungju Yeoa , Paul Funkenbuscha , Hesam Askari

Addressing the simultaneous identification of contributory variables while controlling the false discovery rate (FDR) in high-dimensional data is a crucial statistical challenge. In this paper, we propose a novel model-free variable…

统计方法学 · 统计学 2024-04-23 Yixin Han , Xu Guo , Changliang Zou

In a typical online learning scenario, a learner is required to process a large data stream using a small memory buffer. Such a requirement is usually in conflict with a learner's primary pursuit of prediction accuracy. To address this…

机器学习 · 计算机科学 2012-05-14 Thomas P. Minka , Rongjing Xiang , Yuan , Qi

We propose a Bayesian variable selection method in the framework of modal regression for heavy-tailed responses. An efficient expectation-maximization algorithm is employed to expedite parameter estimation. A test statistic is constructed…

统计方法学 · 统计学 2025-10-29 Jiasong Duan , Hongmei Zhang , Xianzheng Huang

Individualized treatment rules (ITRs) are considered a promising recipe to deliver better policy interventions. One key ingredient in optimal ITR estimation problems is to estimate the average treatment effect conditional on a subject's…

统计方法学 · 统计学 2021-03-16 Hongming Pu , Bo Zhang

Considering the case where the response variable is a categorical variable and the predictor is a random function, two novel functional sufficient dimensional reduction (FSDR) methods are proposed based on mutual information and square loss…

机器学习 · 统计学 2024-02-28 Xinyu Li , Jianjun Xu , Wenquan Cui , Haoyang Cheng

VARCLUST algorithm is proposed for clustering variables under the assumption that variables in a given cluster are linear combinations of a small number of hidden latent variables, corrupted by the random noise. The entire clustering task…

Fabrication process variations can significantly influence the performance and yield of nano-scale electronic and photonic circuits. Stochastic spectral methods have achieved great success in quantifying the impact of process variations,…

机器学习 · 统计学 2021-06-29 Zichang He , Zheng Zhang

Bayesian Additive Regression Trees [BART, Chipman et al., 2010] have gained significant popularity due to their remarkable predictive performance and ability to quantify uncertainty. However, standard decision tree models rely on recursive…

机器学习 · 统计学 2025-01-20 Stamatina Lamprinakou , Huiyan Sang , Bledar A. Konomi , Ligang Lu

Proper scoring rules are commonly applied to quantify the accuracy of distribution forecasts. Given an observation they assign a scalar score to each distribution forecast, with the the lowest expected score attributed to the true…

统计方法学 · 统计学 2021-02-01 Carol Alexander , Michael Coulon , Yang Han , Xiaochun Meng

This paper presents a robust version of the stratified sampling method when multiple uncertain input models are considered for stochastic simulation. Various variance reduction techniques have demonstrated their superior performance in…

最优化与控制 · 数学 2023-06-16 Seung Min Baik , Eunshin Byon , Young Myoung Ko

This paper proposes a novel criterion for the allocation of patients in Phase~I dose-escalation clinical trials aiming to find the maximum tolerated dose (MTD). Conventionally, using a model-based approach the next patient is allocated to…

统计方法学 · 统计学 2018-07-17 Pavel Mozgunov , Thomas Jaki