3 papers
cs.LG2026
Beyond Linear and Overcomplete Regimes: A Mean-Field Analysis of Bottleneck Autoencoders
Santanu Das, Ramyak Bilas, Pascal Esser +1
Autoencoders (AEs) learn low-dimensional representations by mapping data into a latent space while minimizing reconstruction error. Despite their empirical success, theoretical und…
math.PR2026
Approximate FKG inequalities for phase-bound spin systems, with applications to central limit theorems for exponential random graphs
Satyaki Mukherjee, Vilas Winstein
The Fortuin-Kasteleyn-Ginibre (FKG) inequality is an invaluable tool in monotone spin systems satisfying the FKG lattice condition, which provides positive correlations for all coo…
cs.LG2025
Recovering Imbalanced Clusters via Gradient-Based Projection Pursuit
Martin Eppert, Satyaki Mukherjee, Debarghya Ghoshdastidar
Projection Pursuit is a classic exploratory technique for finding interesting projections of a dataset. We propose a method for recovering projections containing either Imbalanced…