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Modern data analysis and statistical learning are marked by complex data structures and black-box algorithms. Data complexity stems from technologies such as imaging, remote sensing, wearable devices, and genomic sequencing. At the same…

Statistics Theory · Mathematics 2025-10-30 Jing Lei

Recursive partitioning approaches producing tree-like models are a long standing staple of predictive modeling, in the last decade mostly as ``sub-learners'' within state of the art ensemble methods like Boosting and Random Forest. However,…

Machine Learning · Statistics 2015-12-14 Amichai Painsky , Saharon Rosset

Model comparison is the cornerstone of theoretical progress in psychological research. Common practice overwhelmingly relies on tools that evaluate competing models by balancing in-sample descriptive adequacy against model flexibility, with…

Applications · Statistics 2021-10-11 Viet-Hung Dao , David Gunawan , Minh-Ngoc Tran , Robert Kohn , Guy E. Hawkins , Scott D. Brown

Symbolic Regression remains an NP-Hard problem, with extensive research focusing on AI models for this task. Transformer models have shown promise in Symbolic Regression, but performance suffers with smaller datasets. We propose applying…

Machine Learning · Computer Science 2025-07-01 Kaustubh Kislay , Shlok Singh , Soham Joshi , Rohan Dutta , Jay Shim , George Flint , Kevin Zhu

Machine learning technologies have been used in a wide range of practical systems. In practical situations, it is natural to expect the input-output pairs of a machine learning model to satisfy some requirements. However, it is difficult to…

Machine Learning · Computer Science 2022-10-12 Masaaki Nishino , Kengo Nakamura , Norihito Yasuda

Cross-validation (CV) is known to provide asymptotically exact tests and confidence intervals for model improvement but only when the model comparison is relatively stable. Surprisingly, we prove that even simple, individually stable models…

Machine Learning · Statistics 2026-02-10 Alexandre Bayle , Lucas Janson , Lester Mackey

Despite the extensive literature on training loss functions, the evaluation of generalization on the validation set remains underexplored. In this work, we conduct a systematic empirical and statistical study of how the validation criterion…

Machine Learning · Computer Science 2026-02-26 Andrea Apicella , Francesco Isgrò , Andrea Pollastro , Roberto Prevete

Cross validation is commonly used for selecting tuning parameters in penalized regression, but its use in penalized Cox regression models has received relatively little attention in the literature. Due to its partial likelihood…

Methodology · Statistics 2026-05-13 Biyue Dai , Patrick Breheny

The emergence of data-driven machine learning (ML) has facilitated significant progress in many complicated tasks such as highly-automated driving. While much effort is put into improving the ML models and learning algorithms in such…

Computer Vision and Pattern Recognition · Computer Science 2022-06-02 Marvin Klingner , Konstantin Müller , Mona Mirzaie , Jasmin Breitenstein , Jan-Aike Termöhlen , Tim Fingscheidt

Curriculum learning-organizing training data from easy to hard-has improved efficiency across machine learning domains, yet remains underexplored for language model pretraining. We present the first systematic investigation of curriculum…

Computation and Language · Computer Science 2026-01-29 Yang Zhang , Amr Mohamed , Hadi Abdine , Guokan Shang , Michalis Vazirgiannis

Learning curves are a concept from social sciences that has been adopted in the context of machine learning to assess the performance of a learning algorithm with respect to a certain resource, e.g., the number of training examples or the…

Machine Learning · Computer Science 2025-01-29 Felix Mohr , Jan N. van Rijn

A new method of bandwidth selection for kernel density estimators is proposed. The method, termed indirect cross-validation, or ICV, makes use of so-called selection kernels. Least squares cross-validation (LSCV) is used to select the…

Methodology · Statistics 2008-12-02 Olga Y. Savchuk , Jeffrey D. Hart , Simon J. Sheather

Traditionally, machine learning-based clinical prediction models have been trained and evaluated on patient data from a single source, such as a hospital. Cross-validation methods can be used to estimate the accuracy of such models on new…

Machine Learning · Computer Science 2024-10-24 Tuija Leinonen , David Wong , Antti Vasankari , Ali Wahab , Ramesh Nadarajah , Matti Kaisti , Antti Airola

Multi-view learning (MVL) has gained great success in integrating information from multiple perspectives of a dataset to improve downstream task performance. To make MVL methods more practical in an open-ended environment, this paper…

Machine Learning · Computer Science 2023-10-16 Depeng Li , Tianqi Wang , Junwei Chen , Kenji Kawaguchi , Cheng Lian , Zhigang Zeng

This paper studies V-fold cross-validation for model selection in least-squares density estimation. The goal is to provide theoretical grounds for choosing V in order to minimize the least-squares loss of the selected estimator. We first…

Statistics Theory · Mathematics 2015-10-13 Sylvain Arlot , Matthieu Lerasle

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

How many different binary classification problems a single learning algorithm can solve on a fixed data with exactly zero or at most a given number of cross-validation errors? While the number in the former case is known to be limited by…

Machine Learning · Computer Science 2024-02-12 Tapio Pahikkala , Parisa Movahedi , Ileana Montoya , Havu Miikonen , Stephan Foldes , Antti Airola , Laszlo Major

Multimodal learning from document data has achieved great success lately as it allows to pre-train semantically meaningful features as a prior into a learnable downstream task. In this paper, we approach the document classification problem…

Computer Vision and Pattern Recognition · Computer Science 2023-05-12 Souhail Bakkali , Zuheng Ming , Mickael Coustaty , Marçal Rusiñol , Oriol Ramos Terrades

We develop an approach to learning visual representations that embraces multimodal data, driven by a combination of intra- and inter-modal similarity preservation objectives. Unlike existing visual pre-training methods, which solve a proxy…

Computer Vision and Pattern Recognition · Computer Science 2021-04-28 Xin Yuan , Zhe Lin , Jason Kuen , Jianming Zhang , Yilin Wang , Michael Maire , Ajinkya Kale , Baldo Faieta

Verifying multi-step reasoning in large language models is difficult due to imprecise error localization and high token costs. Existing methods either assess entire reasoning chains, suffering attention dilution, or rely on expensive…

Artificial Intelligence · Computer Science 2025-10-06 Yulong Zhang , Li Wang , Wei Du , Peilin Li , Yuqin Dai Zhiyuan Zhao , Lingyong Fang , Ziniu Liu , Ru Zhang , Huijia Zhu , Gongshen Liu
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