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Selecting the best regularization parameter in inverse problems is a classical and yet challenging problem. Recently, data-driven approaches have become popular to tackle this challenge. These approaches are appealing since they do require…

Statistics Theory · Mathematics 2025-10-22 Jonathan Chirinos Rodriguez , Ernesto De Vito , Cesare Molinari , Lorenzo Rosasco , Silvia Villa

In the Machine Learning research community, there is a consensus regarding the relationship between model complexity and the required amount of data and computation power. In real world applications, these computational requirements are not…

Machine Learning · Computer Science 2022-08-03 Joao Fonseca , Fernando Bacao

We examine the necessity of interpolation in overparameterized models, that is, when achieving optimal predictive risk in machine learning problems requires (nearly) interpolating the training data. In particular, we consider simple…

Machine Learning · Statistics 2022-06-17 Chen Cheng , John Duchi , Rohith Kuditipudi

Data augmentation has been proven to be an effective technique for developing machine learning models that are robust to known classes of distributional shifts (e.g., rotations of images), and alignment regularization is a technique often…

Machine Learning · Computer Science 2022-06-07 Haohan Wang , Zeyi Huang , Xindi Wu , Eric P. Xing

Regularization is a popular technique to solve the overfitting problem of machine learning algorithms. Most regularization technique relies on parameter selection of the regularization coefficient. Plug-in method and cross-validation…

Machine Learning · Computer Science 2022-05-24 Hao Wang

Neural networks are among the most accurate supervised learning methods in use today. However, their opacity makes them difficult to trust in critical applications, especially when conditions in training may differ from those in practice.…

Machine Learning · Computer Science 2018-10-03 Andrew Slavin Ross

Many key problems in machine learning and data science are routinely modeled as optimization problems and solved via optimization algorithms. With the increase of the volume of data and the size and complexity of the statistical models used…

Optimization and Control · Mathematics 2020-08-28 Filip Hanzely

Model regularization requires extensive manual tuning to balance complexity against overfitting. Cross-regularization resolves this tradeoff by directly adapting regularization parameters through validation gradients during training. The…

Machine Learning · Computer Science 2025-06-25 Carlos Stein Brito

We introduce Noisy Feature Mixup (NFM), an inexpensive yet effective method for data augmentation that combines the best of interpolation based training and noise injection schemes. Rather than training with convex combinations of pairs of…

Machine Learning · Computer Science 2023-05-23 Soon Hoe Lim , N. Benjamin Erichson , Francisco Utrera , Winnie Xu , Michael W. Mahoney

Over-parameterized deep models usually over-fit to a given training distribution, which makes them sensitive to small changes and out-of-distribution samples at inference time, leading to low generalization performance. To this end, several…

Computer Vision and Pattern Recognition · Computer Science 2019-12-12 Saeid Asgari Taghanaki , Kumar Abhishek , Ghassan Hamarneh

While large models pre-trained on high-quality data exhibit excellent performance on mathematical reasoning (e.g., GSM8k, MultiArith), it remains challenging to specialize smaller models for these tasks. Common approaches to address this…

Computation and Language · Computer Science 2026-03-19 Neeraj Gangwar , Suma P Bhat , Nickvash Kani

Mixup linearly interpolates pairs of examples to form new samples, which is easy to implement and has been shown to be effective in image classification tasks. However, there are two drawbacks in mixup: one is that more training epochs are…

Computer Vision and Pattern Recognition · Computer Science 2021-01-13 Hao Yu , Huanyu Wang , Jianxin Wu

Data augmentation has been widely applied as an effective methodology to improve generalization in particular when training deep neural networks. Recently, researchers proposed a few intensive data augmentation techniques, which indeed…

Machine Learning · Computer Science 2019-11-22 Zhuoxun He , Lingxi Xie , Xin Chen , Ya Zhang , Yanfeng Wang , Qi Tian

Deep Convolutional Neural Networks have made an incredible progress in many Computer Vision tasks. This progress, however, often relies on the availability of large amounts of the training data, required to prevent over-fitting, which in…

Computer Vision and Pattern Recognition · Computer Science 2023-02-28 Dominik Lewy , Jacek Mańdziuk

In this work, we investigate data fitting problems with random noises. A randomized progressive iterative regularization method is proposed. It works well for large-scale matrix computations and converges in expectation to the least-squares…

Numerical Analysis · Mathematics 2025-06-05 Dakang Cen , Wenlong Zhang , Junbin Zhong

Interpolation-based Data Augmentation (DA) methods (Mixup) linearly interpolate the inputs and labels of two or more training examples. Mixup has more recently been adapted to the field of Natural Language Processing (NLP), mainly for…

Computation and Language · Computer Science 2023-11-17 Yuxin Pei , Pushkar Bhuse , Zhengzhong Liu , Eric Xing

Miscalibration in deep learning refers to there is a discrepancy between the predicted confidence and performance. This problem usually arises due to the overfitting problem, which is characterized by learning everything presented in the…

Machine Learning · Computer Science 2024-07-16 Zongbo Han , Yifeng Yang , Changqing Zhang , Linjun Zhang , Joey Tianyi Zhou , Qinghua Hu

Few-shot learning algorithms aim to learn model parameters capable of adapting to unseen classes with the help of only a few labeled examples. A recent regularization technique - Manifold Mixup focuses on learning a general-purpose…

Machine Learning · Computer Science 2020-01-22 Puneet Mangla , Mayank Singh , Abhishek Sinha , Nupur Kumari , Vineeth N Balasubramanian , Balaji Krishnamurthy

Deep learning has made significant advances in computer vision, particularly in image classification tasks. Despite their high accuracy on training data, deep learning models often face challenges related to complexity and overfitting. One…

Computer Vision and Pattern Recognition · Computer Science 2024-04-09 Minsoo Kang , Minkoo Kang , Suhyun Kim

The Mixup method (Zhang et al. 2018), which uses linearly interpolated data, has emerged as an effective data augmentation tool to improve generalization performance and the robustness to adversarial examples. The motivation is to curtail…

Machine Learning · Computer Science 2020-12-25 Minjin Kim , Young-geun Kim , Dongha Kim , Yongdai Kim , Myunghee Cho Paik