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Equation 18 · Part 3 · The Type Chart Is a Payoff Matrix, and the Metagame Only Half-Solves It

Symbol q

DKL(p ∥ q)=∑ipilog⁡2(pi/qi)D_{\mathrm{KL}}(p \,\|\, q) = \sum_i p_i \log_2(p_i/q_i)
qq

What this part means

q is an argument of the function-like quantity on the left; its role is set by that function’s stated inputs.

Its job in the formula

q is an argument of the function-like quantity on the left; its role is set by that function’s stated inputs.

The passage around this formula

Scoring the fit with Kullback–Leibler divergence, DKL(p ∥ q)D_{\mathrm{KL}}(p \,\|\, q) = ∑i\sum_i pip_i log⁡2(pi/qi)\log_2(p_i/q_i) , from the observed August distribution to each candidate: the solved game scores 10.15 bits, the uniform null scores 0.045 bits, and July’s raw persistence scores 0.00068 bits. On a chi-square test against the eight species’ actual August battle counts (summing to…

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Learn the underlying idea

A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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Sources cited in the article section

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