MathDBWeight-feature equality conjecture at full-rank stationary points
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.
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Sources & referencesView supporting material
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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