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Mousse: Rectifying the Geometry of Muon with Curvature-Aware Preconditioning

arXiv:2603.09697v2 Announce Type: replace Abstract: Recent advances in spectral optimization, notably Muon, have demonstrated that constraining update steps to the Stiefel manifold can significantly accelerate training and improve generalization. However, Muon implicitly assumes an isotropic optimization landscape, enforcing a uniform…

Beyond Spectral Clustering: Probabilistic Cuts for Differentiable Graph Partitioning

arXiv:2511.02272v3 Announce Type: replace Abstract: Probabilistic relaxations of graph cuts offer a differentiable alternative to spectral clustering, enabling end-to-end and online learning without eigendecompositions, yet prior work centered on RatioCut and lacked general guarantees and principled gradients. We present a…