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We consider model selection and estimation for partial spline models and propose a new regularization method in the context of smoothing splines. The regularization method has a simple yet elegant form, consisting of roughness penalty on…

Methodology · Statistics 2013-11-25 Guang Cheng , Hao Helen Zhang , Zuofeng Shang

Regularization is a well studied problem in the context of neural networks. It is usually used to improve the generalization performance when the number of input samples is relatively small or heavily contaminated with noise. The…

Artificial Intelligence · Computer Science 2011-04-19 Salah Rifai , Xavier Glorot , Yoshua Bengio , Pascal Vincent

We present MaskGen, a theoretically grounded and deliberately simple approach for domain generalization in 3D biomedical image segmentation. Modern segmentation models degrade sharply under shifts in modality, disease severity, clinical…

Image and Video Processing · Electrical Eng. & Systems 2026-05-12 Sebo Diaz , Polina Golland , Elfar Adalsteinsson , Neel Dey

Deep learning requires regularization mechanisms to reduce overfitting and improve generalization. We address this problem by a new regularization method based on distributional robust optimization. The key idea is to modify the…

Machine Learning · Computer Science 2020-06-08 Aurora Cobo Aguilera , Antonio Artés-Rodríguez , Fernando Pérez-Cruz , Pablo Martínez Olmos

The Mixup scheme suggests mixing a pair of samples to create an augmented training sample and has gained considerable attention recently for improving the generalizability of neural networks. A straightforward and widely used extension of…

Computer Vision and Pattern Recognition · Computer Science 2021-12-17 Joonhyung Park , June Yong Yang , Jinwoo Shin , Sung Ju Hwang , Eunho Yang

In high-dimensional data analysis, regularization methods pursuing sparsity and/or low rank have received a lot of attention recently. To provide a proper amount of shrinkage, it is typical to use a grid search and a model comparison…

Methodology · Statistics 2019-01-01 Yiyuan She , Hoang Tran

Feature selection identifies subsets of informative features and reduces dimensions in the original feature space, helping provide insights into data generation or a variety of domain problems. Existing methods mainly depend on feature…

Machine Learning · Computer Science 2021-06-07 Xinxing Wu , Qiang Cheng

B-spline models are a powerful way to represent scientific data sets with a functional approximation. However, these models can suffer from spurious oscillations when the data to be approximated are not uniformly distributed. Model…

Numerical Analysis · Mathematics 2022-03-29 David Lenz , Raine Yeh , Vijay Mahadevan , Iulian Grindeanu , Tom Peterka

Gradient regularization (GR), which aims to penalize the gradient norm atop the loss function, has shown promising results in training modern over-parameterized deep neural networks. However, can we trust this powerful technique? This paper…

Machine Learning · Computer Science 2024-06-17 Yang Zhao , Hao Zhang , Xiuyuan Hu

Effective clinical deployment of deep learning models in healthcare demands high generalization performance to ensure accurate diagnosis and treatment planning. In recent years, significant research has focused on improving the…

Image and Video Processing · Electrical Eng. & Systems 2025-10-22 Mohamed Hassan , Aleksandar Vakanski , Min Xian

Overfitting is one of the most common problems when training deep neural networks on comparatively small datasets. Here, we demonstrate that neural network activation sparsity is a reliable indicator for overfitting which we utilize to…

Machine Learning · Computer Science 2020-02-24 Karim Huesmann , Soeren Klemm , Lars Linsen , Benjamin Risse

We propose a principled method for gradient-based regularization of the critic of GAN-like models trained by adversarially optimizing the kernel of a Maximum Mean Discrepancy (MMD). We show that controlling the gradient of the critic is…

Machine Learning · Statistics 2021-01-15 Michael Arbel , Danica J. Sutherland , Mikołaj Bińkowski , Arthur Gretton

In many applications where collecting data is expensive, for example neuroscience or medical imaging, the sample size is typically small compared to the feature dimension. It is challenging in this setting to train expressive, non-linear…

Machine Learning · Computer Science 2019-04-23 Sergul Aydore , Bertrand Thirion , Gael Varoquaux

In the domain of medical imaging, many supervised learning based methods for segmentation face several challenges such as high variability in annotations from multiple experts, paucity of labelled data and class imbalanced datasets. These…

Computer Vision and Pattern Recognition · Computer Science 2025-05-15 Soumick Chatterjee , Franziska Gaidzik , Alessandro Sciarra , Hendrik Mattern , Gábor Janiga , Oliver Speck , Andreas Nürnberger , Sahani Pathiraja

Methods for medical image registration infer geometric transformations that align pairs/groups of images by maximising an image similarity metric. This problem is ill-posed as several solutions may have equivalent likelihoods, also…

Computer Vision and Pattern Recognition · Computer Science 2024-03-19 Aisha L. Shuaibu , Ivor J. A. Simpson

Saliency maps have become a widely used method to assess which areas of the input image are most pertinent to the prediction of a trained neural network. However, in the context of medical imaging, there is no study to our knowledge that…

Computer Vision and Pattern Recognition · Computer Science 2020-06-02 Nishanth Thumbavanam Arun , Nathan Gaw , Praveer Singh , Ken Chang , Katharina Viktoria Hoebel , Jay Patel , Mishka Gidwani , Jayashree Kalpathy-Cramer

Due to the imbalanced and limited data, semi-supervised medical image segmentation methods often fail to produce superior performance for some specific tailed classes. Inadequate training for those particular classes could introduce more…

Computer Vision and Pattern Recognition · Computer Science 2022-09-02 Hritam Basak , Sagnik Ghosal , Ram Sarkar

Regularization methods allow one to handle a variety of inferential problems where there are more covariates than cases. This allows one to consider a potentially enormous number of covariates for a problem. We exploit the power of these…

Methodology · Statistics 2012-10-03 Yoonkyung Lee , Steven N. MacEachern , Yoonsuh Jung

Data augmentation has proved extremely useful by increasing training data variance to alleviate overfitting and improve deep neural networks' generalization performance. In medical image analysis, a well-designed augmentation policy usually…

Computer Vision and Pattern Recognition · Computer Science 2021-03-31 Yunhe Gao , Zhiqiang Tang , Mu Zhou , Dimitris Metaxas

Mitigating shortcuts, where models exploit spurious correlations in training data, remains a significant challenge for improving generalization. Regularization methods have been proposed to address this issue by enhancing model…

Machine Learning · Computer Science 2025-03-24 Haoyang Hong , Ioanna Papanikolaou , Sonali Parbhoo