ML: Contrastive learning

Machine-learning ideas tagged Contrastive learning in the ML taxonomy of the Math2NN corpus.

Unverified 2026

Quantile-Calibrated Multi-Scale Spectral Regularizer

Build several Gaussian similarity matrices on minibatch embeddings, using empirical distance quantiles as their bandwidths, then combine them before degree normalization and spectral embedding. Add a regularizer that encourages the resulting row-normalized spectral coordinates to form compact pseudo-clusters, making the representation robust to multiple geometric scales rather than one manually tuned temperature.

Useful6/10
Difficulty5/10
Novelty5/10
Paper: Multi-kernel spectral clustering: Entrywise eigenvector perturbation bounds and exact recovery arXiv:2608.08704