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- W4205698766 abstract "We consider the variational problem of cross-entropy loss with n feature vectors on a unit hypersphere in Rd. We prove that when d≥n−1, the global minimum is given by the simplex equiangular tight frame, which justifies the neural collapse behavior. We also prove that, as n→∞ with fixed d, the minimizing points will distribute uniformly on the hypersphere and show a connection with the frame potential of Benedetto & Fickus." @default.
- W4205698766 created "2022-01-25" @default.
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- W4205698766 date "2022-07-01" @default.
- W4205698766 modified "2023-10-15" @default.
- W4205698766 title "Neural collapse under cross-entropy loss" @default.
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- W4205698766 doi "https://doi.org/10.1016/j.acha.2021.12.011" @default.
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