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Unsupervised and self-supervised representation learning has become popular in recent years for learning useful features from unlabelled data. Representation learning has been mostly developed in the neural network literature, and other…

Machine Learning · Computer Science 2023-09-06 Pascal Esser , Maximilian Fleissner , Debarghya Ghoshdastidar

(Partial) differential equations (PDEs) are fundamental tools for describing natural phenomena, making their solution crucial in science and engineering. While traditional methods, such as the finite element method, provide reliable…

Machine Learning · Computer Science 2025-03-11 Viggo Moro , Luiz F. O. Chamon

The fundamental goal of self-supervised learning (SSL) is to produce useful representations of data without access to any labels for classifying the data. Modern methods in SSL, which form representations based on known or constructed…

Machine Learning · Computer Science 2022-09-30 Bobak T. Kiani , Randall Balestriero , Yubei Chen , Seth Lloyd , Yann LeCun

Self-supervised learning (SSL) has emerged as a powerful paradigm for learning representations without labeled data. Most SSL approaches rely on strong, well-established, handcrafted data augmentations to generate diverse views for…

Machine Learning · Computer Science 2026-01-16 Berken Utku Demirel , Christian Holz

In self-supervised learning (SSL), representations are learned via an auxiliary task without annotated labels. A common task is to classify augmentations or different modalities of the data, which share semantic content (e.g. an object in…

Machine Learning · Computer Science 2024-10-16 Alice Bizeul , Bernhard Schölkopf , Carl Allen

Joint-embedding self-supervised learning (SSL), the key paradigm for unsupervised representation learning from visual data, learns from invariances between semantically-related data pairs. We study the one-to-many mapping problem in SSL,…

Machine Learning · Computer Science 2026-02-03 Yipeng Zhang , Hafez Ghaemi , Jungyoon Lee , Shahab Bakhtiari , Eilif B. Muller , Laurent Charlin

Neural solvers for partial differential equations (PDEs) have great potential to generate fast and accurate physics solutions, yet their practicality is currently limited by their generalizability. PDEs evolve over broad scales and exhibit…

Machine Learning · Computer Science 2024-12-06 Anthony Zhou , Amir Barati Farimani

Self-supervised learning (SSL) excels at finding general-purpose latent representations from complex data, yet lacks a unifying theoretical framework that explains the diverse existing methods and guides the design of new ones. We cast SSL…

Machine Learning · Computer Science 2026-05-28 Fabian A Mikulasch , Friedemann Zenke

Self-Supervised Learning (SSL) has been shown to learn useful and information-preserving representations. Neural Networks (NNs) are widely applied, yet their weight space is still not fully understood. Therefore, we propose to use SSL to…

Machine Learning · Computer Science 2022-12-15 Konstantin Schürholt , Dimche Kostadinov , Damian Borth

Incorporating heterogeneous representations from different architectures has facilitated various vision tasks, e.g., some hybrid networks combine transformers and convolutions. However, complementarity between such heterogeneous…

Computer Vision and Pattern Recognition · Computer Science 2025-10-15 Zhong-Yu Li , Bo-Wen Yin , Yongxiang Liu , Li Liu , Ming-Ming Cheng

Self-supervised learning (SSL) is a powerful tool in machine learning, but understanding the learned representations and their underlying mechanisms remains a challenge. This paper presents an in-depth empirical analysis of SSL-trained…

Machine Learning · Computer Science 2023-06-01 Ido Ben-Shaul , Ravid Shwartz-Ziv , Tomer Galanti , Shai Dekel , Yann LeCun

The appearance of singularities in the function of interest constitutes a fundamental challenge in scientific computing. It can significantly undermine the effectiveness of numerical schemes for function approximation, numerical…

Numerical Analysis · Mathematics 2025-07-01 Difeng Cai , Paulina Sepúlveda

Self-supervised learning (SSL) has become a popular method for generating invariant representations without the need for human annotations. Nonetheless, the desired invariant representation is achieved by utilising prior online…

Machine Learning · Computer Science 2024-09-30 Foivos Ntelemis , Yaochu Jin , Spencer A. Thomas

Self-Supervised Learning (SSL) is an important paradigm for learning representations from unlabelled data, and SSL with neural networks has been highly successful in practice. However current theoretical analysis of SSL is mostly restricted…

Machine Learning · Computer Science 2023-09-06 Pascal Esser , Satyaki Mukherjee , Debarghya Ghoshdastidar

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

Self supervised learning (SSL) is a machine learning paradigm where models learn to understand the underlying structure of data without explicit supervision from labeled samples. The acquired representations from SSL have demonstrated…

Machine Learning · Computer Science 2025-12-11 Yunshan Duan , Sinead Williamson

Recent advancements in self-supervised learning (SSL) made it possible to learn generalizable visual representations from unlabeled data. The performance of Deep Learning models fine-tuned on pretrained SSL representations is on par with…

Machine Learning · Computer Science 2021-09-21 Atharva Tendle , Mohammad Rashedul Hasan

The data-driven discovery of partial differential equations (PDEs) consistent with spatiotemporal data is experiencing a rebirth in machine learning research. Training deep neural networks to learn such data-driven partial differential…

Numerical Analysis · Mathematics 2020-11-10 Hassan Arbabi , Judith E. Bunder , Giovanni Samaey , Anthony J. Roberts , Ioannis G. Kevrekidis

Self-supervised learning (SSL) has great potential for molecular representation learning given the complexity of molecular graphs, the large amounts of unlabelled data available, the considerable cost of obtaining labels experimentally, and…

Machine Learning · Computer Science 2023-11-30 Yuankai Luo , Lei Shi , Veronika Thost

At the core of self-supervised learning for vision is the idea of learning invariant or equivariant representations with respect to a set of data transformations. This approach, however, introduces strong inductive biases, which can render…

Machine Learning · Computer Science 2024-05-29 Sharut Gupta , Chenyu Wang , Yifei Wang , Tommi Jaakkola , Stefanie Jegelka
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