CORE MACHINE LEARNING

On the duality between contrastive and non-contrastive self-supervised learning

February 28, 2023

Abstract

Recent approaches in self-supervised learning of image representations can be categorized into different families of methods and, in particular, can be divided into contrastive and non-contrastive approaches. While differences between the two families have been thoroughly discussed to motivate new approaches, we focus more on the theoretical similarities between them. By designing contrastive and covariance based non-contrastive criteria that can be related algebraically and shown to be equivalent under limited assumptions, we show how close those families can be. We further study popular methods and introduce variations of them, allowing us to relate this theoretical result to current practices and show the influence (or lack thereof) of design choices on downstream performance. Motivated by our equivalence result, we investigate the low performance of SimCLR and show how it can match VICReg's with careful hyperparameter tuning, improving significantly over known baselines. We also challenge the popular assumption that non-contrastive methods need large output dimensions. Our theoretical and quantitative results suggest that the numerical gaps between contrastive and non-contrastive methods in certain regimes can be closed given better network design choices and hyperparameter tuning. The evidence shows that unifying different SOTA methods is an important direction to build a better understanding of self-supervised learning.

Download the Paper

AUTHORS

Written by

Quentin Garrido

Adrien Bardes

Yann LeCun

Yubei Chen

Laurent Najman

Publisher

ICLR

Research Topics

Core Machine Learning

Related Publications

May 12, 2026

HUMAN & MACHINE INTELLIGENCE

RESEARCH

NeuralSet: A High-Performing Python Package for Neuro-AI

Corentin Bel, Linnea Evanson, Julien Gadonneix, Andrea Santos Revilla, Mingfang (Lucy) Zhang, Julie Bonnaire, Charlotte Caucheteux, Alexandre Défossez, Théo Desbordes, Pablo Diego-Simón, Shubh Khanna, Juliette Millet, Pierre Orhan, Saarang Panchavati, Antoine Ratouchniak, Alexis Thual, Hubert Jacob Banville, Jarod Levy, Jean Remi King, Josephine Raugel, Jérémy Rapin, Katelyn Begany, Marlene Careil, Simon Dahan, Sophia Houhamdi, Stéphane d'Ascoli, Teon Brooks, Yohann Benchetrit

May 12, 2026

November 18, 2025

RESEARCH

CORE MACHINE LEARNING

Souper-Model: How Simple Arithmetic Unlocks State-of-the-Art LLM Performance

Roberta Raileanu, * Equal authorship, Alexis Audran-Reiss, Amar Budhiraja *, Anton Protopopov, Bhavul Gauri, Despoina Magka, Gaurav Chaurasia, Michael Slater, Shalini Maiti *, Tatiana Shavrina, Yoram Bachrach

November 18, 2025

October 13, 2025

REINFORCEMENT LEARNING

RESEARCH

SPG: Sandwiched Policy Gradient for Masked Diffusion Language Models

Paria Rashidinejad, Cai Zhou, Tommi Jaakkola, DiJia Su, Bo Liu, Feiyu Chen, Chenyu Wang, Shannon Zejiang Shen, Sid Wang, Siyan Zhao, Song Jiang, Yuandong Tian

October 13, 2025

September 24, 2025

RESEARCH

NLP

CWM: An Open-Weights LLM for Research on Code Generation with World Models

Chris Cummins, Hugh Leather, Aram Markosyan, Matteo Pagliardini, Tal Remez, Volker Seeker, Marco Selvi, Lingming Zhang, Abhishek Charnalia, Alex Gu, Badr Youbi Idrissi, Christian Keller, Daniel Haziza, David Zhang, Dmitrii Pedchenko, Emily McMilin, Fabian Gloeckle, Felix Kreuk, Francisco Massa, François Fleuret, Gabriel Synnaeve, Gal Cohen, Gallil Maimon, Jacob Kahn, Jade Copet, Jannik Kossen, Jonas Gehring, Jordi Armengol-Estape, Juliette Decugis, Keyur Muzumdar, Kunhao Zheng, Luca Wehrstedt, Maximilian Beck, Michael Hassid, Michel Meyer, Naila Murray, Oren Sultan, Ori Yoran, Pedram Bashiri, Peter O'Hearn, Pierre Chambon, Pierre-Emmanuel Mazaré, Quentin Carbonneaux, Rahul Kindi, Sida Wang, Taco Cohen, Vegard Mella, Yossi Adi, Yuxiang Wei, Zacharias Fisches

September 24, 2025

Help Us Pioneer The Future of AI

We share our open source frameworks, tools, libraries, and models for everything from research exploration to large-scale production deployment.