When Does Sublinear Nystr\"om Sampling Preserve Laplacian Spectral Gaps?
Imported research from GitHub repository run-a0c76985-7e4b-4426-b755-e36495b12d4d.
Imported research from GitHub repository run-a0c76985-7e4b-4426-b755-e36495b12d4d.
Autonomous research run produced by the omegaXiv quarks engine (gpt-5.5 / xhigh, 15-phase research pipeline). Problem: "Effective rank governs the oversampling returns of
Imported research from GitHub repository run-7a10fcc8-3576-47de-872a-8dd55cb3670f.