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The bias-variance trade-off is a central concept in supervised learning. In classical statistics, increasing the complexity of a model (e.g., number of parameters) reduces bias but also increases variance. Until recently, it was commonly…

Machine Learning · Statistics 2022-03-25 Jason W. Rocks , Pankaj Mehta

Model selection aims to identify a sufficiently well performing model that is possibly simpler than the most complex model among a pool of candidates. However, the decision-making process itself can inadvertently introduce non-negligible…

Methodology · Statistics 2024-08-08 Yann McLatchie , Aki Vehtari

Recent studies have shown that tuning prediction models increases prediction accuracy and that Random Forest can be used to construct prediction intervals. However, to our best knowledge, no study has investigated the need to, and the…

Machine Learning · Computer Science 2018-02-12 Sean Bayley , Davide Falessi

A variety of different performance metrics are commonly used in the machine learning literature for the evaluation of classification systems. Some of the most common ones for measuring quality of hard decisions are standard and balanced…

Machine Learning · Computer Science 2023-09-22 Luciana Ferrer

Deep neural network training spends most of the computation on examples that are properly handled, and could be ignored. We propose to mitigate this phenomenon with a principled importance sampling scheme that focuses computation on…

Machine Learning · Computer Science 2019-10-29 Angelos Katharopoulos , François Fleuret

Training deep neural networks (DNNs) with noisy labels is a challenging problem due to over-parameterization. DNNs tend to essentially fit on clean samples at a higher rate in the initial stages, and later fit on the noisy samples at a…

Machine Learning · Computer Science 2021-07-08 Sree Ram Kamabattula , Venkat Devarajan , Babak Namazi , Ganesh Sankaranarayanan

Machine learning models are increasingly being utilized across various fields and tasks due to their outstanding performance and strong generalization capabilities. Nonetheless, their success hinges on the availability of large volumes of…

Machine Learning · Computer Science 2024-11-26 Shreen Gul , Mohamed Elmahallawy , Sanjay Madria , Ardhendu Tripathy

Multiclass neural network classifiers are typically trained using cross-entropy loss but evaluated using metrics derived from the confusion matrix, such as Accuracy, $F_\beta$-Score, and Matthews Correlation Coefficient. This mismatch…

Machine Learning · Computer Science 2025-05-27 Deyuan Li , Taesoo Daniel Lee , Marynel Vázquez , Nathan Tsoi

We revisit the problem of ensuring strong test set performance via cross-validation, and propose a nested k-fold cross-validation scheme that selects hyperparameters by minimizing a weighted sum of the usual cross-validation metric and an…

Optimization and Control · Mathematics 2026-02-04 Ryan Cory-Wright , Andrés Gómez

Instruction tuning has been central to the success of recent vision-language models (VLMs), but it remains expensive-requiring large-scale datasets, high-quality annotations, and large compute budgets. We propose PRioritized cOncept…

Computer Vision and Pattern Recognition · Computer Science 2026-02-26 Shivam Chandhok , Qian Yang , Oscar Manas , Kanishk Jain , Leonid Sigal , Aishwarya Agrawal

Foundation models often generate unreliable answers, while heuristic uncertainty estimators fail to fully distinguish correct from incorrect outputs, causing users to accept erroneous answers without any statistical guarantee. We address…

Artificial Intelligence · Computer Science 2026-05-27 Zhiyuan Wang , Aniri , Tianlong Chen , Yue Zhang , Heng Tao Shen , Xiaoshuang Shi , Kaidi Xu

Sample selection is a prevalent approach in learning with noisy labels, aiming to identify confident samples for training. Although existing sample selection methods have achieved decent results by reducing the noise rate of the selected…

Machine Learning · Computer Science 2025-10-22 Suqin Yuan , Lei Feng , Bo Han , Tongliang Liu

Robust estimators for linear regression require non-convex objective functions to shield against adverse affects of outliers. This non-convexity brings challenges, particularly when combined with penalization in high-dimensional settings.…

Computation · Statistics 2025-08-08 David Kepplinger , Siqi Wei

High-dimensional tests are applied to find relevant sets of variables and relevant models. If variables are selected by analyzing the sums of products matrices and a corresponding mean-value test is performed, there is the danger that the…

Methodology · Statistics 2012-02-10 Juergen Laeuter , Maciej Rosolowski , Ekkehard Glimm

We develop a new method for selecting the penalty parameter for $\ell_{1}$-penalized M-estimators in high dimensions, which we refer to as bootstrapping after cross-validation. We derive rates of convergence for the corresponding…

Statistics Theory · Mathematics 2024-11-14 Denis Chetverikov , Jesper Riis-Vestergaard Sørensen

In the network literature, a wide range of statistical models has been proposed to exploit structural patterns in the data. Therefore, model selection between different models is a fundamental problem. However, there remains a lack of…

Methodology · Statistics 2025-08-05 Bokai Yang , Yuanxing Chen , Yuhong Yang

Groundbreaking successes have been achieved by Deep Reinforcement Learning (DRL) in solving practical decision-making problems. Robotics, in particular, can involve high-cost hardware and human interactions. Hence, scrupulous evaluations of…

Artificial Intelligence · Computer Science 2020-10-20 Davide Corsi , Enrico Marchesini , Alessandro Farinelli

Machine learning applications frequently come with multiple diverse objectives and constraints that can change over time. Accordingly, trained models can be tuned with sets of hyper-parameters that affect their predictive behavior (e.g.,…

Machine Learning · Computer Science 2022-10-17 Bracha Laufer-Goldshtein , Adam Fisch , Regina Barzilay , Tommi Jaakkola

Large language models (LLMs) have gained much attention in the recommendation community; some studies have observed that LLMs, fine-tuned by the cross-entropy loss with a full softmax, could achieve state-of-the-art performance already.…

Information Retrieval · Computer Science 2024-02-23 Cong Xu , Zhangchi Zhu , Jun Wang , Jianyong Wang , Wei Zhang

This paper begins with a general theory of error in cross-validation testing of algorithms for supervised learning from examples. It is assumed that the examples are described by attribute-value pairs, where the values are symbolic.…

Machine Learning · Computer Science 2007-05-23 Peter D. Turney