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Structure As Search: Unsupervised Permutation Learning for Combinatorial Optimization

arXiv:2507.04164v3 Announce Type: replace Abstract: We propose a non-autoregressive framework for the Travelling Salesman Problem where solutions emerge directly from learned permutations, without requiring explicit search. By applying a similarity transformation to Hamiltonian cycles, the model learns to approximate permutation…

Sample what you cant compress

arXiv:2409.02529v4 Announce Type: replace Abstract: For learned image representations, basic autoencoders often produce blurry results. Reconstruction quality can be improved by incorporating additional penalties such as adversarial (GAN) and perceptual losses. Arguably, these approaches lack a principled interpretation. Concurrently, in…

High-Dimensional Statistical Process Control via Manifold Fitting and Learning

arXiv:2509.19820v1 Announce Type: cross Abstract: We address the Statistical Process Control (SPC) of high-dimensional, dynamic industrial processes from two complementary perspectives: manifold fitting and manifold learning, both of which assume data lies on an underlying nonlinear, lower dimensional space. We…