maxent: Compute Maximum Entropy Distributions

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The maximum entropy method, or MAXENT, is variational approach for computing probability distributions given a list of moment, or expected value, constraints.

Here are some links for background info.

A good overview of applications: http://cmm.cit.nih.gov/maxent/letsgo.html

On the idea of maximum entropy in general: http://en.wikipedia.org/wiki/Principle_of_maximum_entropy

Use this package to compute discrete maximum entropy distributions over a list of values and list of constraints.

Here is a the example from Probability the Logic of Science

>>> maxent ([1,2,3], [average 1.5])
Right [0.61, 0.26, 0.11]

The classic dice example

>>> maxent ([1,2,3,4,5,6], [average 4.5])
Right [.05, .07, 0.11, 0.16, 0.23, 0.34]

One can use different constraints besides the average value there.

As for why you want to maximize the entropy to find the probability constraint, I will say this for now. In the case of the average constraint it is a kin to choosing a integer partition with the most interger compositions. I doubt that makes any sense, but I will try to explain more with a blog post soon.

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Versions [RSS] 0.1.0.0, 0.1.0.1, 0.2.0.0, 0.2.0.1, 0.3.0.1, 0.3.1.1, 0.4.0.0, 0.6.0.0, 0.6.0.1, 0.6.0.3, 0.6.0.4, 0.7
Dependencies ad (>=3.4 && <3.5), base (>=4.6 && <4.7), nonlinear-optimization (>=0.3 && <0.4), vector (>=0.10 && <0.11) [details]
License BSD-3-Clause
Author Jonathan Fischoff
Maintainer jonathangfischoff@gmail.com
Category Math
Home page https://github.com/jfischoff/maxent
Uploaded by JonathanFischoff at 2013-03-04T02:34:57Z
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Reverse Dependencies 1 direct, 0 indirect [details]
Downloads 8186 total (54 in the last 30 days)
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