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The role of permutation invariance in linear mode connectivity of neural networks.arXiv preprint arXiv:2110.06296

11 Pith papers cite this work. Polarity classification is still indexing.

11 Pith papers citing it
abstract

In this paper, we conjecture that if the permutation invariance of neural networks is taken into account, SGD solutions will likely have no barrier in the linear interpolation between them. Although it is a bold conjecture, we show how extensive empirical attempts fall short of refuting it. We further provide a preliminary theoretical result to support our conjecture. Our conjecture has implications for lottery ticket hypothesis, distributed training, and ensemble methods.

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representative citing papers

Editing Models with Task Arithmetic

cs.LG · 2022-12-08 · accept · novelty 8.0

Task vectors from weight differences allow arithmetic operations to edit pre-trained models, improving multiple tasks simultaneously and enabling analogical inference on unseen tasks.

Understanding Layer Patching in Model Size Interpolation

cs.LG · 2026-07-09 · conditional · novelty 6.0

Optimal layer-patching order for boomerang distillation is a shortest path on a KL-weighted Boolean lattice; greedy KLPatch and simple sequential orders often yield near-optimal interpolations.

Motion-Compensated Weight Compression

cs.CV · 2026-05-23 · unverdicted · novelty 6.0

MCWC aligns permutation-symmetric blocks across layers to enable sequential prediction and residual entropy coding, improving rate-accuracy tradeoffs versus quantization and prior codecs on language and vision models.

The Platonic Representation Hypothesis

cs.LG · 2024-05-13 · unverdicted · novelty 5.0

Representations learned by large AI models are converging toward a shared statistical model of reality.

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Showing 11 of 11 citing papers.