Is Higher Singular Value Entropy Always Better for Matrix Parameters?
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Higher singular value entropy is not always better; via geometric modeling and mean-field approximation, the optimal entropy is found to be approximately log(n) - 1 (where n is matrix dimension), corresponding to an effective rank of ~e·n, balancing expressiveness and redundancy.
入选理由:奇异值熵最大值为 log(n),但最优值约为 log(n) - 1,对应有效秩 ≈ e·n(e≈2.718)
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