Rich Pang personal blog

An alternative construction of Shannon entropy

The underpinning of information theory is Shannon’s formula for the entropy H of a discrete probability distribution P. Derived in 1948 in the paper “A mathematical theory of communication”, this is given by \[ H[P] = -\sum_{i=1}^N p_i \log p_i \] where \( p_i = p(x_i) \) is the probability of sampling \( x_i \) from…
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Math & Algorithms2024

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Nov 13, 2024An alternative construction of Shannon entropy by rkp800012611

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