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Through minimization of an appropriate loss function such as the InfoNCE loss, contrastive learning (CL) learns a useful representation function by pulling positive samples close to each other while pushing negative samples far apart in the…

Machine Learning · Computer Science 2024-05-13 Ruijie Jiang , Thuan Nguyen , Prakash Ishwar , Shuchin Aeron

Supervised classification has a theoretical optimum, Neural Collapse (NC), yet neither of its two dominant paradigms reaches it in practice. Cross entropy (CE) leaves radial degrees of freedom unconstrained and converges to a degenerate…

Machine Learning · Computer Science 2026-05-22 Panagiotis Koromilas , Theodoros Giannakopoulos , Mihalis A. Nicolaou , Yannis Panagakis

In this paper, we provide a computable characterization of the geometry of optimal representations in Contrastive Learning (CL) when the classes are imbalanced. When classes are balanced and the representation dimension is greater than the…

Machine Learning · Computer Science 2026-05-13 Thuan Nguyen , Shuchin Aeron , D. Richard Brown , Prakash Ishwar

Most Neural Networks (NNs) for classification are trained using Cross-Entropy as a loss function. This approach requires the model to have an explicit classification layer. However, there exist alternative approaches, such as Contrastive…

Machine Learning · Computer Science 2026-04-27 Leonardo Arrighi , Julia Eva Belloni , Aurélie Gallet , Ivan Gentile , Matteo Lippi , Marco Zullich

Supervised-contrastive loss (SCL) is an alternative to cross-entropy (CE) for classification tasks that makes use of similarities in the embedding space to allow for richer representations. In this work, we propose methods to engineer the…

Machine Learning · Computer Science 2023-10-03 Jaidev Gill , Vala Vakilian , Christos Thrampoulidis

Recent findings reveal that over-parameterized deep neural networks, trained beyond zero training-error, exhibit a distinctive structural pattern at the final layer, termed as Neural-collapse (NC). These results indicate that the final…

Machine Learning · Computer Science 2024-03-01 Tina Behnia , Christos Thrampoulidis

Contrastive Learning (CL) has shown promising performance in collaborative filtering. The key idea is to generate augmentation-invariant embeddings by maximizing the Mutual Information between different augmented views of the same instance.…

Information Retrieval · Computer Science 2024-01-01 Huiyuan Chen , Vivian Lai , Hongye Jin , Zhimeng Jiang , Mahashweta Das , Xia Hu

Contrastive learning (CL) has recently emerged as an effective approach to learning representation in a range of downstream tasks. Central to this approach is the selection of positive (similar) and negative (dissimilar) sets to provide the…

Machine Learning · Computer Science 2021-10-25 Anh Bui , Trung Le , He Zhao , Paul Montague , Seyit Camtepe , Dinh Phung

Self-supervised contrastive learning (CL) has achieved remarkable empirical success, often producing representations that rival supervised pre-training on downstream tasks. Recent theory explains this by showing that the CL loss closely…

Machine Learning · Computer Science 2025-10-13 Achleshwar Luthra , Priyadarsi Mishra , Tomer Galanti

Contrastive Learning (CL) has emerged as a dominant technique for unsupervised representation learning which embeds augmented versions of the anchor close to each other (positive samples) and pushes the embeddings of other samples…

Artificial Intelligence · Computer Science 2022-06-15 Jun Xia , Lirong Wu , Ge Wang , Jintao Chen , Stan Z. Li

Contrastive learning has emerged as an essential approach for self-supervised learning in visual representation learning. The central objective of contrastive learning is to maximize the similarities between two augmented versions of an…

Computer Vision and Pattern Recognition · Computer Science 2023-04-18 Hengkui Dong , Xianzhong Long , Yun Li , Lei Chen

Contrastive learning (CL) aims to preserve relational structure between samples by learning representations that reflect a similarity graph. Yet, the geometry of the resulting embeddings remains poorly understood. Here we show that weighted…

Machine Learning · Computer Science 2026-05-15 Raphael Vock , Edouard Duchesnay , Benoit Dufumier

Unsupervised sentence representation learning remains a critical challenge in modern natural language processing (NLP) research. Recently, contrastive learning techniques have achieved significant success in addressing this issue by…

Computation and Language · Computer Science 2024-11-20 Wenxiao Liu , Zihong Yang , Chaozhuo Li , Zijin Hong , Jianfeng Ma , Zhiquan Liu , Litian Zhang , Feiran Huang

Contrastive learning (CL) is one of the most successful paradigms for self-supervised learning (SSL). In a principled way, it considers two augmented "views" of the same image as positive to be pulled closer, and all other images as…

Machine Learning · Computer Science 2023-06-21 Chun-Hsiao Yeh , Cheng-Yao Hong , Yen-Chi Hsu , Tyng-Luh Liu , Yubei Chen , Yann LeCun

Deep representations have shown promising performance when transferred to downstream tasks in a black-box manner. Yet, their inherent lack of interpretability remains a significant challenge, as these features are often opaque to human…

Machine Learning · Computer Science 2024-04-24 Yifei Wang , Qi Zhang , Yaoyu Guo , Yisen Wang

Contrastive learning (CL) methods effectively learn data representations in a self-supervision manner, where the encoder contrasts each positive sample over multiple negative samples via a one-vs-many softmax cross-entropy loss. By…

Machine Learning · Computer Science 2023-08-16 Huangjie Zheng , Xu Chen , Jiangchao Yao , Hongxia Yang , Chunyuan Li , Ya Zhang , Hao Zhang , Ivor Tsang , Jingren Zhou , Mingyuan Zhou

Contrastive learning has significantly improved representation quality, enhancing knowledge transfer across tasks in continual learning (CL). However, catastrophic forgetting remains a key challenge, as contrastive based methods primarily…

Computer Vision and Pattern Recognition · Computer Science 2024-12-09 Trung-Anh Dang , Vincent Nguyen , Ngoc-Son Vu , Christel Vrain

Despite its empirical success, the theoretical foundations of self-supervised contrastive learning (CL) are not yet fully established. In this work, we address this gap by showing that standard CL objectives implicitly approximate a…

Machine Learning · Computer Science 2025-11-12 Achleshwar Luthra , Tianbao Yang , Tomer Galanti

Minimizing cross-entropy over the softmax scores of a linear map composed with a high-capacity encoder is arguably the most popular choice for training neural networks on supervised learning tasks. However, recent works show that one can…

Machine Learning · Statistics 2023-03-03 Florian Graf , Christoph D. Hofer , Marc Niethammer , Roland Kwitt

While contrastive learning is proven to be an effective training strategy in computer vision, Natural Language Processing (NLP) is only recently adopting it as a self-supervised alternative to Masked Language Modeling (MLM) for improving…

Computation and Language · Computer Science 2021-09-16 Hooman Sedghamiz , Shivam Raval , Enrico Santus , Tuka Alhanai , Mohammad Ghassemi
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