Lets say i want to calculate the information content of a particular message.What apart from the message itself has to be taken into account in doing so, and what data would i need to collect to perform my action?
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Using notions like entropy (like in Ashok's answer) only work if you believe the message is coming from a specific distribution. If all you have a single message, then the only measure of complexity that's meaningful is the Kolmogorov complexity of the message, which is sadly uncomputable. |
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May be, one needs to estimate the frequency $p(m)$ of occurrence of the message $m$. Then $\log \frac{1}{p(m)}$ is the information content of the message $m$. |
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