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Mixup is a data augmentation technique that relies on training using random convex combinations of data points and their labels. In recent years, Mixup has become a standard primitive used in the training of state-of-the-art image…

Machine Learning · Computer Science 2024-11-06 Muthu Chidambaram , Xiang Wang , Chenwei Wu , Rong Ge

We propose a physics-based regularization technique for function learning, inspired by statistical mechanics. By drawing an analogy between optimizing the parameters of an interpolator and minimizing the energy of a system, we introduce…

Machine Learning · Computer Science 2025-08-20 Abhisek Ganguly , Alessandro Gabbana , Vybhav Rao , Sauro Succi , Santosh Ansumali

Choosing a suitable deep learning architecture for multimodal data fusion is a challenging task, as it requires the effective integration and processing of diverse data types, each with distinct structures and characteristics. In this…

Machine Learning · Computer Science 2025-01-22 Abdelmadjid Chergui , Grigor Bezirganyan , Sana Sellami , Laure Berti-Équille , Sébastien Fournier

For linear inverse problems $Y=\mathsf{A}\mu+\xi$, it is classical to recover the unknown signal $\mu$ by iterative regularisation methods $(\widehat \mu^{(m)}, m=0,1,\ldots)$ and halt at a data-dependent iteration $\tau$ using some…

Statistics Theory · Mathematics 2017-10-27 Gilles Blanchard , Marc Hoffmann , Markus Reiß

While prior research has proposed a plethora of methods that build neural classifiers robust against adversarial robustness, practitioners are still reluctant to adopt them due to their unacceptably severe clean accuracy penalties. This…

Machine Learning · Computer Science 2024-07-23 Yatong Bai , Brendon G. Anderson , Aerin Kim , Somayeh Sojoudi

We show that the effectiveness of the well celebrated Mixup [Zhang et al., 2018] can be further improved if instead of using it as the sole learning objective, it is utilized as an additional regularizer to the standard cross-entropy loss.…

Machine Learning · Computer Science 2023-02-08 Francesco Pinto , Harry Yang , Ser-Nam Lim , Philip H. S. Torr , Puneet K. Dokania

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

We propose a general framework for regularization in M-estimation problems under time dependent (absolutely regular-mixing) data which encompasses many of the existing estimators. We derive non-asymptotic concentration bounds for the…

Statistics Theory · Mathematics 2018-01-04 Demian Pouzo

We study the Rectified Linear Unit (ReLU) dual, an existing dual formulation for stochastic programs that reformulates non-anticipativity constraints using ReLU functions to generate tight, non-convex, and mixed-integer representable cuts.…

Optimization and Control · Mathematics 2026-02-06 Akul Bansal , Simge Küçükyavuz

Consistency regularization-based methods are prevalent in semi-supervised learning (SSL) algorithms due to their exceptional performance. However, they mainly depend on domain-specific data augmentations, which are not usable in domains…

Machine Learning · Computer Science 2023-09-29 Matin Moezzi

This paper introduces data augmentation for point clouds by interpolation between examples. Data augmentation by interpolation has shown to be a simple and effective approach in the image domain. Such a mixup is however not directly…

Computer Vision and Pattern Recognition · Computer Science 2020-08-17 Yunlu Chen , Vincent Tao Hu , Efstratios Gavves , Thomas Mensink , Pascal Mettes , Pengwan Yang , Cees G. M. Snoek

Mixup is a recent regularizer for current deep classification networks. Through training a neural network on convex combinations of pairs of examples and their labels, it imposes locally linear constraints on the model's input space.…

Computation and Language · Computer Science 2021-09-16 Guang Liu , Yuzhao Mao , Hailong Huang , Weiguo Gao , Xuan Li

The recovery of the intrinsic geometric structures of data collections is an important problem in data analysis. Supervised extensions of several manifold learning approaches have been proposed in the recent years. Meanwhile, existing…

Computer Vision and Pattern Recognition · Computer Science 2018-05-29 Cem Ornek , Elif Vural

Empirical Risk Minimization (ERM) models often rely on spurious correlations between features and labels during the learning process, leading to shortcut learning behavior that undermines robustness generalization performance. Current…

Machine Learning · Computer Science 2025-07-15 Lili Zhao , Qi Liu , Wei Chen , Liyi Chen , Ruijun Sun , Min Hou , Yang Wang , Shijin Wang

Continual learning has emerged as an increasingly important challenge across various tasks, including Spoken Language Understanding (SLU). In SLU, its objective is to effectively handle the emergence of new concepts and evolving…

Computation and Language · Computer Science 2024-02-19 Muqiao Yang , Xiang Li , Umberto Cappellazzo , Shinji Watanabe , Bhiksha Raj

Semi-supervised learning, i.e. jointly learning from labeled and unlabeled samples, is an active research topic due to its key role on relaxing human supervision. In the context of image classification, recent advances to learn from…

Computer Vision and Pattern Recognition · Computer Science 2020-06-30 Eric Arazo , Diego Ortego , Paul Albert , Noel E. O'Connor , Kevin McGuinness

In the feature space, the collapse between features invokes critical problems in representation learning by remaining the features undistinguished. Interpolation-based augmentation methods such as mixup have shown their effectiveness in…

Machine Learning · Computer Science 2024-01-29 Hoyong Kim , Semi Lee , Kangil Kim

Data augmentation with \textbf{Mixup} has been proven an effective method to regularize the current deep neural networks. Mixup generates virtual samples and corresponding labels at once through linear interpolation. However, this one-stage…

Machine Learning · Computer Science 2022-06-07 Xiangjin Xie , Yangning Li , Wang Chen , Kai Ouyang , Li Jiang , Haitao Zheng

Physics-informed neural networks and neural operators often suffer from severe optimization difficulties caused by ill-conditioned gradients, multi-scale spectral behavior, and stiffness induced by physical constraints. Recently, the Muon…

Machine Learning · Computer Science 2026-02-19 Binghang Lu , Jiahao Zhang , Guang Lin

Recent years have seen a growing interest and adoption of LLMs, with Mixture-of-Experts (MoE) emerging as a leading architecture in extremely large models. Currently, the largest open-source models reach over $1$T parameters. At such…

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