给出softmax定义(防溢出),并给出输入输出实例证明有效性。
时间: 2023-12-05 21:13:52 浏览: 53
Sure! Softmax is a mathematical function that converts a vector of scores into a probability distribution. The function exponentiates each score, divides it by the sum of all exponentiated scores, and returns the resulting vector of probabilities. This ensures that the probabilities add up to 1 and each probability is between 0 and 1.
Here's an example: Let's say we have a vector of scores [2, 4, 6]. We first exponentiate each score: [e^2, e^4, e^6]. Then, we sum up the exponentiated scores: e^2 + e^4 + e^6. And finally, we divide each exponentiated score by the sum: [e^2 / (e^2 + e^4 + e^6), e^4 / (e^2 + e^4 + e^6), e^6 / (e^2 + e^4 + e^6)]. This gives us a vector of probabilities: [0.042, 0.120, 0.838]. This shows that softmax effectively converts a vector of scores into a probability distribution.
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