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We propose Stepwise cOnditional likelihood variable selection for Discriminant Analysis (SODA) to detect both main and quadratic interaction effects in logistic regression and quadratic discriminant analysis (QDA) models. In the forward…

统计方法学 · 统计学 2017-05-31 Yang Li , Jun S. Liu

Data-driven algorithm selection is a powerful approach for choosing effective heuristics for computational problems. It operates by evaluating a set of candidate algorithms on a collection of representative training instances and selecting…

机器学习 · 计算机科学 2025-12-04 Vaggos Chatziafratis , Ishani Karmarkar , Yingxi Li , Ellen Vitercik

Purpose: In recent years Monte-Carlo sampling methods, such as Monte Carlo tree search, have achieved tremendous success in model free reinforcement learning. A combination of the so called upper confidence bounds policy to preserve the…

人工智能 · 计算机科学 2011-10-24 Boris Mitavskiy , Jonathan Rowe , Chris Cannings

We develop a model-based empirical Bayes approach to variable selection problems in which the number of predictors is very large, possibly much larger than the number of responses (the so-called 'large p, small n' problem). We consider the…

统计方法学 · 统计学 2015-10-14 Haim Y. Bar , James G. Booth , Martin T. Wells

Age of Information (AoI) is a crucial metric for quantifying information freshness in real-time systems where the sampling rate of data packets is time-varying. Evaluating AoI under such conditions is challenging, as system states become…

信息论 · 计算机科学 2025-07-08 Jin Xu , Weiqi Wang , Natarajan Gautam

We study decision problems under uncertainty, where the decision-maker has access to $K$ data sources that carry {\em biased} information about the underlying risk factors. The biases are measured by the mismatch between the risk factor…

最优化与控制 · 数学 2024-09-18 Yves Rychener , Adrian Esteban-Perez , Juan M. Morales , Daniel Kuhn

Knee-Joint Osteoarthritis (KOA) is a prevalent cause of global disability and is inherently complex to diagnose due to its subtle radiographic markers and individualized progression. One promising classification avenue involves applying…

图像与视频处理 · 电气工程与系统科学 2023-11-13 Fabi Prezja , Leevi Annala , Sampsa Kiiskinen , Suvi Lahtinen , Timo Ojala

Although there is a huge literature on feature selection for the Cox model, none of the existing approaches can control the false discovery rate (FDR) unless the sample size tends to infinity. In addition, there is no formal power analysis…

统计方法学 · 统计学 2023-08-02 Daoji Li , Jinzhao Yu , Hui Zhao

There is a clear need for efficient algorithms to tune hyperparameters for statistical learning schemes, since the commonly applied search methods (such as grid search with N-fold cross-validation) are inefficient and/or approximate.…

机器学习 · 计算机科学 2020-04-07 Luis Miguel Lopez-Ramos , Baltasar Beferull-Lozano

We develop a uniform inference theory for high-dimensional slope parameters in threshold regression models, allowing for either cross-sectional or time series data. We first establish oracle inequalities for prediction errors, and L1…

计量经济学 · 经济学 2025-09-16 Jiatong Li , Hongqiang Yan

For a large class of regularized models, leave-one-out cross-validation can be efficiently estimated with an approximate leave-one-out formula (ALO). We consider the problem of adjusting hyperparameters so as to optimize ALO. We derive…

机器学习 · 统计学 2020-11-23 Ryan Burn

A noisy training set usually leads to the degradation of the generalization and robustness of neural networks. In this paper, we propose a novel theoretically guaranteed clean sample selection framework for learning with noisy labels.…

机器学习 · 计算机科学 2023-11-30 Yikai Wang , Yanwei Fu , Xinwei Sun

We introduce a stochastic version of the cutting-plane method for a large class of data-driven Mixed-Integer Nonlinear Optimization (MINLO) problems. We show that under very weak assumptions the stochastic algorithm is able to converge to…

最优化与控制 · 数学 2021-03-04 Dimitris Bertsimas , Michael Lingzhi Li

We propose a new variable selection algorithm, subsample-ordered least-angle regression (solar), and its coordinate descent generalization, solar-cd. Solar re-constructs lasso paths using the $L_0$ norm and averages the resulting solution…

机器学习 · 统计学 2022-05-09 Ning Xu , Timothy C. G. Fisher

The $k$-nearest neighbor algorithm ($k$-NN) is a widely used non-parametric method for classification and regression. We study the mean squared error of the $k$-NN estimator when $k$ is chosen by leave-one-out cross-validation (LOOCV).…

统计理论 · 数学 2020-02-18 Mona Azadkia

We consider varying coefficient Cox models with high-dimensional covariates. We apply the group Lasso method to these models and propose a variable selection procedure. Our procedure copes with variable selection and structure…

统计理论 · 数学 2016-07-20 Toshio Honda , Ryota Yabe

It is often advantageous to train models on a subset of the available train examples, because the examples are of variable quality or because one would like to train with fewer examples, without sacrificing performance. We present Gradient…

机器学习 · 计算机科学 2024-07-30 Dante Everaert , Christopher Potts

Knockoff variable selection is a powerful framework that creates synthetic knockoff variables to mirror the correlation structure of the observed features, enabling principled control of the false discovery rate in variable selection.…

统计方法学 · 统计学 2025-08-21 Evan Mason , Zhe Fei

The error threshold transition in a stochastic (i.e. finite population) version of the quasispecies model of molecular evolution is studied using finite-size scaling. For the single-sharp-peak replication landscape, the deterministic model…

统计力学 · 物理学 2009-10-31 P. R. A. Campos , J. F. Fontanari

We extend the knockoffs method for selecting predictors to clustered data (cross-sectional or repeated measures). In the setting of clustered data, variable selection is complex because some predictors are measured at the observation level…

统计方法学 · 统计学 2026-02-24 Silvia Bacci , Leonardo Grilli , Carla Rampichini