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We investigate the signal reconstruction performance of sparse linear regression in the presence of noise when piecewise continuous nonconvex penalties are used. Among such penalties, we focus on the SCAD penalty. The contributions of this…

机器学习 · 统计学 2020-01-08 Tomoyuki Obuchi , Ayaka Sakata

Cross-validation assesses the predictive ability of a model, allowing one to rank models accordingly. Although the nonparametric bootstrap is almost always used to assess the variability of a parameter, it can be used as the basis for…

应用统计 · 统计学 2019-09-30 James Stephens Cavenaugh

Model merging combines multiple fine-tuned models into a single model by adding their weight updates, providing a lightweight alternative to retraining. Existing methods primarily target resolving conflicts between task updates, leaving the…

机器学习 · 计算机科学 2026-05-22 Yayuan Li , Ze Peng , Jian Zhang , Jintao Guo , Yue Duan , Yinghuan Shi

Spatial regression models have a variety of applications in several fields ranging from economics to public health. Typically, it is of interest to select important exogenous predictors of the spatially autocorrelated response variable. In…

统计方法学 · 统计学 2025-10-31 Sagar Pandhare , Divya Kappara , Siuli Mukhopadhyay

Cross-validation is a widely used technique for evaluating the performance of prediction models, ranging from simple binary classification to complex precision medicine strategies. It helps correct for optimism bias in error estimates,…

Despite ongoing theoretical research on cross-validation (CV), many theoretical questions remain widely open. This motivates our investigation into how properties of algorithm-distribution pairs can affect the choice for the number of folds…

统计理论 · 数学 2026-01-09 Ido Nachum , Rüdiger Urbanke , Thomas Weinberger

Cross-validation (CV) is one of the most popular tools for assessing and selecting predictive models. However, standard CV suffers from high computational cost when the number of folds is large. Recently, under the empirical risk…

统计方法学 · 统计学 2023-05-30 Yuetian Luo , Zhimei Ren , Rina Foygel Barber

In many real-world applications of machine learning, we are interested to know if it is possible to train on the data that we have gathered so far, and obtain accurate predictions on a new test data subset that is qualitatively different in…

Spatial reasoning, the ability to understand spatial relations, causality, and dynamic evolution, is central to human intelligence and essential for real-world applications such as autonomous driving and robotics. Existing studies, however,…

计算机视觉与模式识别 · 计算机科学 2026-04-07 Yanguang Zhao , Jie Yang , Shengqiong Wu , Shutong Hu , Hongbo Qiu , Yu Wang , Guijia Zhang , Tan Kai Ze , Hao Fei , Chia-Wen Lin , Mong-Li Lee , Wynne Hsu

In an intelligent transportation system, the key problem of traffic forecasting is how to extract periodic temporal dependencies and complex spatial correlations. Current state-of-the-art methods for predicting traffic flow are based on…

机器学习 · 计算机科学 2022-03-01 Zichuan Liu , Rui Zhang , Chen Wang , Zhu Xiao , Hongbo Jiang

The spatial error model (SEM) is a type of simultaneous autoregressive (SAR) model for analysing spatially correlated data. Markov chain Monte Carlo (MCMC) is one of the most widely used Bayesian methods for estimating SEM, but it has…

统计方法学 · 统计学 2024-06-14 Anjana Wijayawardhana , David Gunawan , Thomas Suesse

Cross-validation (CV) is a technique used to estimate generalization error for prediction models. For pipeline modeling algorithms (i.e. modeling procedures with multiple steps), it has been recommended the entire sequence of steps be…

机器学习 · 统计学 2020-10-05 Byron C. Jaeger , Nicholas J. Tierney , Noah R. Simon

Hyperparameter tuning plays a crucial role in optimizing the performance of predictive learners. Cross--validation (CV) is a widely adopted technique for estimating the error of different hyperparameter settings. Repeated cross-validation…

机器学习 · 计算机科学 2023-08-01 Giovanni Maria Merola

The prevalence of spatially referenced multivariate data has impelled researchers to develop a procedure for the joint modeling of multiple spatial processes. This ordinarily involves modeling marginal and cross-process dependence for any…

统计方法学 · 统计学 2020-07-10 Ghulam A. Qadir , Ying Sun

Gaussian processes (GPs) are well-known tools for modeling dependent data with applications in spatial statistics, time series analysis, or econometrics. In this article, we present the R package varycoef that implements estimation,…

统计计算 · 统计学 2021-06-07 Jakob A. Dambon , Fabio Sigrist , Reinhard Furrer

Cross-validation (CV) is one of the most widely used techniques in statistical learning for estimating the test error of a model, but its behavior is not yet fully understood. It has been shown that standard confidence intervals for test…

统计方法学 · 统计学 2023-10-10 Min Woo Sun , Robert Tibshirani

Given a high-dimensional covariate matrix and a response vector, ridge-regularized sparse linear regression selects a subset of features that explains the relationship between covariates and the response in an interpretable manner. To…

最优化与控制 · 数学 2026-02-13 Ryan Cory-Wright , Andrés Gómez

Robot manipulation in unstructured environments requires efficient and reliable Swept Volume Collision Detection (SVCD) for safe motion planning. Traditional discrete methods potentially miss collisions between these points, whereas SVCD…

机器人学 · 计算机科学 2025-09-03 Dongwon Son , Hojin Jung , Beomjoon Kim

Understanding the long-time dynamics of complex physical processes depends on our ability to recognize patterns. To simplify the description of these processes, we often introduce a set of reaction coordinates, customarily referred to as…

化学物理 · 物理学 2024-12-31 Tuğçe Gökdemir , Jakub Rydzewski

Selective classification enables models to make predictions only when they are sufficiently confident, aiming to enhance safety and reliability, which is important in high-stakes scenarios. Previous methods mainly use deep neural networks…

机器学习 · 计算机科学 2024-06-10 Yu-Chang Wu , Shen-Huan Lyu , Haopu Shang , Xiangyu Wang , Chao Qian