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This paper offers a new approach to address the model uncertainty in (potentially) divergent-dimensional single-index models (SIMs). We propose a model-averaging estimator based on cross-validation, which allows the dimension of covariates…

Methodology · Statistics 2022-06-14 Jiahui Zou , Wendun Wang , Xinyu Zhang , Guohua Zou

Model averaging (MA) and ensembling play a crucial role in statistical and machine learning practice. When multiple candidate models are considered, MA techniques can be used to weight and combine them, often resulting in improved…

Statistics Theory · Mathematics 2025-05-06 Jingfu Peng

This study's first purpose is to provide quantitative evidence that would incentivize researchers to instead use the more robust method of nested cross-validation. The second purpose is to present methods and MATLAB codes for doing power…

Machine Learning · Computer Science 2024-03-19 Hamzeh Ghasemzadeh , Robert E. Hillman , Daryush D. Mehta

Joint RGB-infrared perception is essential for achieving robustness under diverse weather and illumination conditions. Although foundation models excel within single modalities, they suffer from substantial cross-modal degradation, an issue…

Computer Vision and Pattern Recognition · Computer Science 2026-05-14 Fangyuan Mao , Shuo Wang , Jilin Mei , Shun Lu , Chen Min , Fuyang Liu , Xiaokun Feng , Meiqi Wu , Yu Hu

This paper analyzes the approximate control variate (ACV) approach to multifidelity uncertainty quantification in the case where weighted estimators are combined to form the components of the ACV. The weighted estimators enable one to…

Computation · Statistics 2024-02-23 Alex A. Gorodetsky , John D. Jakeman , Michael S. Eldred

One of the common goals of time series analysis is to use the observed series to inform predictions for future observations. In the absence of any actual new data to predict, cross-validation can be used to estimate a model's future…

Methodology · Statistics 2020-07-02 Paul-Christian Bürkner , Jonah Gabry , Aki Vehtari

Traditionally model averaging has been viewed as an alternative to model selection with the ultimate goal to incorporate the uncertainty associated with the model selection process in standard errors and confidence intervals by using a…

Methodology · Statistics 2021-03-05 Michael Schomaker , Christian Heumann

Performance estimation aims at estimating the loss that a predictive model will incur on unseen data. These procedures are part of the pipeline in every machine learning project and are used for assessing the overall generalisation ability…

Machine Learning · Computer Science 2021-08-31 Vitor Cerqueira , Luis Torgo , Igor Mozetic

The Automated Model Evaluation (AutoEval) framework entertains the possibility of evaluating a trained machine learning model without resorting to a labeled testing set. Despite the promise and some decent results, the existing AutoEval…

Computer Vision and Pattern Recognition · Computer Science 2023-08-23 Ru Peng , Qiuyang Duan , Haobo Wang , Jiachen Ma , Yanbo Jiang , Yongjun Tu , Xiu Jiang , Junbo Zhao

A new realized conditional autoregressive Value-at-Risk (VaR) framework is proposed, through incorporating a measurement equation into the original quantile regression model. The framework is further extended by employing various Expected…

Risk Management · Quantitative Finance 2021-01-18 Chao Wang , Richard Gerlach , Qian Chen

Unsupervised representation learning methods like SwAV are proved to be effective in learning visual semantics of a target dataset. The main idea behind these methods is that different views of a same image represent the same semantics. In…

Computer Vision and Pattern Recognition · Computer Science 2022-06-13 Mehdi Seyfi , Amin Banitalebi-Dehkordi , Yong Zhang

Large Language Model-based multi-agent systems (MAS) have shown remarkable progress in solving complex tasks through collaborative reasoning and inter-agent critique. However, existing approaches typically treat each task in isolation,…

Computation and Language · Computer Science 2025-05-30 Yilong Li , Chen Qian , Yu Xia , Ruijie Shi , Yufan Dang , Zihao Xie , Ziming You , Weize Chen , Cheng Yang , Weichuan Liu , Ye Tian , Xuantang Xiong , Lei Han , Zhiyuan Liu , Maosong Sun

Selective Classification, wherein models can reject low-confidence predictions, promises reliable translation of machine-learning based classification systems to real-world scenarios such as clinical diagnostics. While current evaluation of…

The revolutionary developments in the field of supervised machine learning have paved way to the development of CAD tools for assisting doctors in diagnosis. Recently, the former has been employed in the prediction of neurological disorders…

Computer Vision and Pattern Recognition · Computer Science 2017-06-27 Jerrin Thomas Panachakel , Jeena R. S.

Model selection (MS) and model averaging (MA) are two popular approaches when having many candidate models. Theoretically, the estimation risk of an oracle MA is not larger than that of an oracle MS because the former one is more flexible,…

Statistics Theory · Mathematics 2025-01-15 Wenchao Xu , Xinyu Zhang

Self-paced curriculum learning (SCL) has demonstrated its great potential in computer vision, natural language processing, etc. During training, it implements easy-to-hard sampling based on online estimation of data difficulty. Most SCL…

Computer Vision and Pattern Recognition · Computer Science 2023-02-10 Han Li , Hu Han , S. Kevin Zhou

Effective data partitioning is known to be crucial in machine learning. Traditional cross-validation methods like K-Fold Cross-Validation (KFCV) enhance model robustness but often compromise generalisation assessment due to high…

Machine Learning · Computer Science 2025-08-05 Christopher Godwin Udomboso , Caston Sigauke , Ini Adinya

We present a coupled Variational Auto-Encoder (VAE) method that improves the accuracy and robustness of the probabilistic inferences on represented data. The new method models the dependency between input feature vectors (images) and weighs…

Machine Learning · Computer Science 2025-11-25 Shichen Cao , Jingjing Li , Kenric P. Nelson , Mark A. Kon

The goal of this paper is to compare several widely used Bayesian model selection methods in practical model selection problems, highlight their differences and give recommendations about the preferred approaches. We focus on the variable…

Methodology · Statistics 2017-12-18 Juho Piironen , Aki Vehtari

Cross-validation plays a fundamental role in Machine Learning, enabling robust evaluation of model performance and preventing overestimation on training and validation data. However, one of its drawbacks is the potential to create data…

Machine Learning · Computer Science 2025-08-28 Afonso Martini Spezia , Thomas Fontanari , Mariana Recamonde-Mendoza
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