Efficient and scalable learning of sufficient representations

Develop an efficient and scalable self-supervised learning procedure to learn a representation that meets the stated sufficiency and effectiveness criteria, where "efficient" means low computational and memory cost and "scalable" means the optimization can be easily scaled up.

Background

Alongside the question of what representation is sufficient and effective, the authors explicitly raise the question of how to learn such a representation efficiently and at scale. They define efficiency in terms of computational and memory cost, and scalability in terms of ease of scaling the optimization procedure, underscoring the practical need for algorithms that can handle large datasets and models.

This open question drives the algorithmic developments and discussions throughout the paper, including their spectral contrastive, energy-based, latent-variable, and nonlinear formulations.

References

Concretely, despite the empirical successes achieved by representation from SSL, there are essential research questions have yet to be resolved, i.e, What representation is sufficient and effective for variety of downstream tasks? How can such a representation learned in an efficient and scalable way?

Spectral Ghost in Representation Learning: from Component Analysis to Self-Supervised Learning  (2601.20154 - Dai et al., 28 Jan 2026) in Section 1 (Introduction)