arXiv Machine Learning By Yuta Horioka, Naoya Chiba, Yuki Uranishi

Progressive Permutation Alignment with Temperature-Controlled Spectral Sharpening

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The paper introduces a progressive permutation alignment technique for implicit neural representations, using layer-wise correlation estimation, Hungarian matching, and temperature-controlled spectral annealing to gradually sharpen the alignment toward a permutation matrix. This deterministic, lightweight method avoids costly gradient optimization and is followed by a final refinement stage that optimizes layer-by-layer weight matching. Experiments on MLPs, CNNs, and NeRFs demonstrate reliable neuron correspondence recovery and reduced loss barriers during weight interpolation.

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arXiv Machine Learning
Oct 3

CrossGMN: Graph Metanetworks for Cross-Architecture Weight-Space Transformations

CrossGMN introduces a graph metanetwork that processes a trained source network and an initialized target network simultaneously, enabling equivariant cross‑architecture weight‑space transformations. By preserving symmetry through cross‑network message passing, CrossGMN can refine target network initializations while remaining invariant to source permutations and equivariant to target permutations. Experiments demonstrate that CrossGMN accelerates knowledge distillation, transfers across datasets without retraining, and unifies compression from diverse source architectures into a common target architecture.

By Adir Dayan, Yam Eitan, Haggai Maron