Weight-feature equality conjecture at full-rank stationary points
Let and be the classifier and feature matrices in the unconstrained feature model. Assume that both matrices have full row rank and satisfy the first-order optimality condition referred to in the source.
Weight-feature equality conjecture. Then
This conjecture links first-order optimality with equality of the classifier and feature matrices. Its resolution is not specified in the source.
References
Primary source
Jiachen Jiang, Jinxin Zhou, Peng Wang, Qing Qu, Dustin Mixon, Chong You and Zhihui Zhu, “Generalized Neural Collapse for a Large Number of Classes”, arXiv:2310.05351 (2023).
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