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Related papers: PICL: Physics Informed Contrastive Learning for Pa…

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Partial differential equations (PDEs) are among the most universal and parsimonious descriptions of natural physical laws, capturing a rich variety of phenomenology and multi-scale physics in a compact and symbolic representation. This…

Machine Learning · Computer Science 2023-03-31 Steven L. Brunton , J. Nathan Kutz

Contrastive representation learning has been recently proved to be very efficient for self-supervised training. These methods have been successfully used to train encoders which perform comparably to supervised training on downstream…

Machine Learning · Computer Science 2020-12-03 Ibrahim Merad , Yiyang Yu , Emmanuel Bacry , Stéphane Gaïffas

Pretext Invariant Representation Learning (PIRL) followed by Supervised Fine-Tuning (SFT) has become a standard paradigm for learning with limited labels. We extend this approach to the Positive Unlabeled (PU) setting, where only a small…

Machine Learning · Computer Science 2025-04-11 Anish Acharya , Li Jing , Bhargav Bhushanam , Dhruv Choudhary , Michael Rabbat , Sujay Sanghavi , Inderjit S Dhillon

Contrastive learning is a powerful framework for learning self-supervised representations that generalize well to downstream supervised tasks. We show that multiple existing contrastive learning methods can be reinterpreted as learning…

Machine Learning · Computer Science 2023-02-16 Daniel D. Johnson , Ayoub El Hanchi , Chris J. Maddison

Recent works in self-supervised learning have advanced the state-of-the-art by relying on the contrastive learning paradigm, which learns representations by pushing positive pairs, or similar examples from the same class, closer together…

Machine Learning · Computer Science 2022-06-27 Jeff Z. HaoChen , Colin Wei , Adrien Gaidon , Tengyu Ma

In this paper, we propose the physics informed adversarial training (PIAT) of neural networks for solving nonlinear differential equations (NDE). It is well-known that the standard training of neural networks results in non-smooth…

Machine Learning · Computer Science 2022-07-15 Simin Shekarpaz , Mohammad Azizmalayeri , Mohammad Hossein Rohban

Neural operators have emerged as fast surrogate solvers for parametric partial differential equations (PDEs). However, purely data-driven models often require extensive training data and can generalize poorly, especially in small-data…

Machine Learning · Computer Science 2026-02-16 Heechang Kim , Qianying Cao , Hyomin Shin , Seungchul Lee , George Em Karniadakis , Minseok Choi

This paper presents Prototypical Contrastive Learning (PCL), an unsupervised representation learning method that addresses the fundamental limitations of instance-wise contrastive learning. PCL not only learns low-level features for the…

Computer Vision and Pattern Recognition · Computer Science 2021-03-31 Junnan Li , Pan Zhou , Caiming Xiong , Steven C. H. Hoi

Physics-informed deep operator networks (DeepONets) have emerged as a promising approach toward numerically approximating the solution of partial differential equations (PDEs). In this work, we aim to develop further understanding of what…

Machine Learning · Computer Science 2024-11-28 Emily Williams , Amanda Howard , Brek Meuris , Panos Stinis

Operator learning has emerged as a powerful tool in scientific computing for approximating mappings between infinite-dimensional function spaces. A primary application of operator learning is the development of surrogate models for the…

Machine Learning · Statistics 2025-04-07 Unique Subedi , Ambuj Tewari

Partial differential equations (PDEs) are widely used across the physical and computational sciences. Decades of research and engineering went into designing fast iterative solution methods. Existing solvers are general purpose, but may be…

Numerical Analysis · Mathematics 2024-09-23 Jun-Ting Hsieh , Shengjia Zhao , Stephan Eismann , Lucia Mirabella , Stefano Ermon

Recent breakthroughs in self-supervised learning show that such algorithms learn visual representations that can be transferred better to unseen tasks than joint-training methods relying on task-specific supervision. In this paper, we found…

Machine Learning · Computer Science 2021-06-29 Hyuntak Cha , Jaeho Lee , Jinwoo Shin

Contrastive learning is a paradigm for learning representations from unlabelled data that has been highly successful for image and text data. Several recent works have examined contrastive losses to claim that contrastive models effectively…

Machine Learning · Computer Science 2024-03-14 Gautham Govind Anil , Pascal Esser , Debarghya Ghoshdastidar

Counterfactually Augmented Data (CAD) involves creating new data samples by applying minimal yet sufficient modifications to flip the label of existing data samples to other classes. Training with CAD enhances model robustness against…

Machine Learning · Computer Science 2024-06-12 Xiaoqi Qiu , Yongjie Wang , Xu Guo , Zhiwei Zeng , Yue Yu , Yuhong Feng , Chunyan Miao

Self-supervised learning approach like contrastive learning is attached great attention in natural language processing. It uses pairs of training data augmentations to build a classification task for an encoder with well representation…

Computation and Language · Computer Science 2021-12-03 Deshui Miao , Jiaqi Zhang , Wenbo Xie , Jian Song , Xin Li , Lijuan Jia , Ning Guo

Contrastive divergence is a popular method of training energy-based models, but is known to have difficulties with training stability. We propose an adaptation to improve contrastive divergence training by scrutinizing a gradient term that…

Machine Learning · Computer Science 2021-06-14 Yilun Du , Shuang Li , Joshua Tenenbaum , Igor Mordatch

The contextual information is critical for various computer vision tasks, previous works commonly design plug-and-play modules and structural losses to effectively extract and aggregate the global context. These methods utilize fine-label…

Computer Vision and Pattern Recognition · Computer Science 2023-02-24 Jing Wang , Jiangyun Li , Wei Li , Lingfei Xuan , Tianxiang Zhang , Wenxuan Wang

Neural predictors have shown great potential in the evaluation process of neural architecture search (NAS). However, current predictor-based approaches overlook the fact that training a predictor necessitates a considerable number of…

Machine Learning · Computer Science 2023-12-15 Shenghe Zheng , Hongzhi Wang , Tianyu Mu

In this work we propose an extension of physics informed supervised learning strategies to parametric partial differential equations. Indeed, even if the latter are indisputably useful in many applications, they can be computationally…

Machine Learning · Computer Science 2024-01-22 Nicola Demo , Maria Strazzullo , Gianluigi Rozza

Neural networks have revolutionized various domains, exhibiting remarkable accuracy in tasks like natural language processing and computer vision. However, their vulnerability to slight alterations in input samples poses challenges,…

Computer Vision and Pattern Recognition · Computer Science 2023-11-15 Shashank Kotyan , Danilo Vasconcellos Vargas