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Exact Graph Learning via Integer Programming

arXiv:2601.20589v2 Announce Type: replace-cross Abstract: Learning the dependence structure among variables in complex systems is a central problem across medical, natural, and social sciences. These structures can be naturally represented by graphs, and the task of inferring such graphs from…

Measuring the Representational Alignment of Neural Systems in Superposition

arXiv:2604.00208v1 Announce Type: new Abstract: Comparing the internal representations of neural networks is a central goal in both neuroscience and machine learning. Standard alignment metrics operate on raw neural activations, implicitly assuming that similar representations produce similar activity patterns. However,…

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…