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概念

Exp(1)

参数为1的指数分布,用于生成单纯形上的均匀随机概率分布。

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Is Higher Singular Value Entropy Always Better for Matrix Parameters?

科学空间3839 字 (约 16 分钟)
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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)

FeaturedArticle#Singular Value Entropy#Effective Rank#Matrix Decomposition#Information Theory#Deep Learning Optimization中文

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