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This paper studies model selection for general unit-root time series, including the case with many exogenous predictors. We propose a new model selection algorithm, FHTD, that leverages forward stepwise regression (FSR), a high-dimensional…

统计方法学 · 统计学 2026-04-28 Shuo-Chieh Huang , Ching-Kang Ing , Ruey S. Tsay

Regression trees are a popular machine learning algorithm that fit piecewise constant models by recursively partitioning the predictor space. This paper focuses on statistical inference for a data-dependent model obtained from a fitted…

统计方法学 · 统计学 2025-12-17 Soham Bakshi , Yiling Huang , Snigdha Panigrahi , Walter Dempsey

Feature selection is an important part of building a machine learning model. By eliminating redundant or misleading features from data, the machine learning model can achieve better performance while reducing the demand on com-puting…

机器学习 · 计算机科学 2021-06-11 Song Tan , Xia He

In modern high-throughput data analysis, researchers perform a large number of statistical tests, expecting to find perhaps a small fraction of significant effects against a predominantly null background. Higher Criticism (HC) was…

统计理论 · 数学 2015-04-13 David Donoho , Jiashun Jin

Standardization has been a widely adopted practice in multiple testing, for it takes into account the variability in sampling and makes the test statistics comparable across different study units. However, despite conventional wisdom to the…

统计方法学 · 统计学 2020-03-09 Luella Fu , Bowen Gang , Gareth M. James , Wenguang Sun

Hard thresholding pursuit (HTP) is a recently proposed iterative sparse recovery algorithm which is a result of combination of a support selection step from iterated hard thresholding (IHT) and an estimation step from the orthogonal…

信息论 · 计算机科学 2020-06-03 Samrat Mukhopadhyay , Mrityunjoy Chakraborty

In science and medicine, model interpretations may be reported as discoveries of natural phenomena or used to guide patient treatments. In such high-stakes tasks, false discoveries may lead investigators astray. These applications would…

机器学习 · 统计学 2020-08-18 Collin Burns , Jesse Thomason , Wesley Tansey

Probabilistic models learned as density estimators can be exploited in representation learning beside being toolboxes used to answer inference queries only. However, how to extract useful representations highly depends on the particular…

机器学习 · 计算机科学 2016-08-12 Antonio Vergari , Nicola Di Mauro , Floriana Esposito

Hybrid controlled trials (HCTs), which augment randomized controlled trials (RCTs) with external controls (ECs), are increasingly receiving attention as a way to address limited power, slow accrual, and ethical concerns in clinical…

统计方法学 · 统计学 2025-05-02 Jiajun Liu , Ke Zhu , Shu Yang , Xiaofei Wang

The Vehicle Routing Problem (VRP) is a complex optimization problem with numerous real-world applications, mostly solved using metaheuristic algorithms due to its $\mathcal{NP}$-Hard nature. Traditionally, these metaheuristics rely on…

人工智能 · 计算机科学 2025-08-11 Bachtiar Herdianto , Romain Billot , Flavien Lucas , Marc Sevaux

The Horvitz-Thompson (HT) estimator is widely used in survey sampling. However, the variance of the HT estimator becomes large when the inclusion probabilities are highly heterogeneous. To overcome this shortcoming, in this paper, a…

统计方法学 · 统计学 2018-04-13 Xianpeng Zong , Rong Zhu , Guohua Zou

Subset selection in multiple linear regression aims to choose a subset of candidate explanatory variables that tradeoff fitting error (explanatory power) and model complexity (number of variables selected). We build mathematical programming…

机器学习 · 统计学 2020-09-04 Young Woong Park , Diego Klabjan

While extensive research has been conducted on high-dimensional data and on regression with left-censored responses, simultaneously addressing these complexities remains challenging, with only a few proposed methods available. In this…

统计方法学 · 统计学 2024-05-07 Changxin Yang , Zhongyi Zhu , Heng Lian

Random Forest has become one of the most popular tools for feature selection. Its ability to deal with high-dimensional data makes this algorithm especially useful for studies in neuroimaging and bioinformatics. Despite its popularity and…

机器学习 · 计算机科学 2014-10-13 Ender Konukoglu , Melanie Ganz

Prediction with the possibility of abstention (or selective prediction) is an important problem for error-critical machine learning applications. While well-studied in the classification setup, selective approaches to regression are much…

机器学习 · 统计学 2023-09-29 Fedor Noskov , Alexander Fishkov , Maxim Panov

We study the problem of selecting a subset of patients who are unlikely to experience an adverse event within a fixed time horizon by calibrating a screening rule based on a black-box survival model. We consider two complementary,…

应用统计 · 统计学 2026-02-20 Matteo Sesia , Vladimir Svetnik

Adaptive data analysis has posed a challenge to science due to its ability to generate false hypotheses on moderately large data sets. In general, with non-adaptive data analyses (where queries to the data are generated without being…

统计方法学 · 统计学 2018-09-18 Preetum Nakkiran , Jarosław Błasiok

Reduced Rank Regression (RRR) is a widely used method for multi-response regression. However, RRR assumes a linear relationship between features and responses. While linear models are useful and often provide a good approximation, many…

机器学习 · 统计学 2025-03-11 Leia Greenberg , Haim Avron

Hyper-heuristics are a novel tool. They deal with complex optimization problems where standalone solvers exhibit varied performance. Among such a tool reside selection hyper-heuristics. By combining the strengths of each solver, this kind…

This paper concerns the construction of tests for universal hypothesis testing problems, in which the alternate hypothesis is poorly modeled and the observation space is large. The mismatched universal test is a feature-based technique for…

信息论 · 计算机科学 2016-04-18 Dayu Huang , Sean Meyn