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Match topic directions

BOTIE

Take their dot product and divide by the product of their lengths.
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Context for this challenge

Take their dot product and divide by the product of their lengths.

Botie has a reader topic vector and a guide description vector. Topic direction should determine their match independently of vector length.

Calculate their dot product and divide by the product of their lengths.

Examples and results
Reader topic vector
  1. 01
  2. 10
Guide topic vector
  1. 03
  2. 10
Required result
1
Reader topic vector
  1. 02
  2. 11
Guide topic vector
  1. 01
  2. 12
Required result
0.8
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Assumptions and test precision

Requires nonzero vectors with matching feature meanings. A score is not a calibrated probability. Numerical tests allow a difference of 0.001. Lists and structures must also have the right shape.

A longer feature vector points the same way

This check uses the pieces from “Compare reader and guide topic directions”.

BOTIE

Botie's reader profile and an article's feature vector have different magnitudes but the same proportions across three topics. Calculate their cosine similarity.
Reader topic vector
  1. 01
  2. 12
  3. 22
Guide topic vector
  1. 03
  2. 16
  3. 26

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.

Which assumption about coordinate meanings is needed before these two vectors can be compared?

A cosine score needs shared feature meanings and is not a calibrated probability of interest.

Requires nonzero vectors with matching feature meanings. A score is not a calibrated probability.

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