Natural Language Processing

Ask whether the pair is surprising

BOTIE

Multiply the two supplied marginal probabilities.
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Context for this challenge

Multiply the two supplied marginal probabilities.

We want to know whether two words occur together more often than their individual frequencies would suggest. Common words can form common pairs without having a particular association. Let's construct the independent-occurrence baseline, then compare the observed pair probability with it.

Inspect the component calculation
Multiply(
  Value: First word probability
  Multiplier: Second word probability
)
Examples and results
First word probability
0.2
Second word probability
0.25
Required result
0.05
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Assumptions and test precision

This is a small construction problem. The lesson explains the assumptions and the parts of the full method that this example leaves out. Numerical tests allow a difference of 0.001. Lists and structures must also have the right shape.

Your last tested pieces can start the full construction. An existing draft there keeps its own pieces.

A frequent pair matches its independence baseline

This check uses the pieces from “Compare a word pair with its independence baseline”.

BOTIE

Compute PMI in bits from the supplied marginal and joint probabilities. Does a nonzero co-occurrence probability necessarily imply positive association?
First word probability
0.5
Second word probability
0.25
Observed word-pair probability
0.125

Use a number, text, or an array matching the requested result. For a matrix, put each row in brackets. Saving your prediction runs your current construction on these inputs and checks the earlier examples too.

Build a construction in the workspace above first. This case will test those pieces.

Why might a very rare observed pair produce an unstable association estimate?

Probability ratios need enough supporting observations; counts and smoothing affect how much confidence to place in PMI.

This is a small construction problem. The lesson explains the assumptions and the parts of the full method that this example leaves out.

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