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Retrieval ranking

As explained in Data Without Labels

Rank is an ordered position assigned to an observation or value relative to others.

In nonmetric multidimensional scaling (MDS), rank represents the relative order of pairwise distances when subjective assessments make their absolute values unsuitable. section 6.2.2

Table 6.1 The respective distance between four points and the ranks of the distances
Pair of points
Distance
Ranks of the respective distances
A and B
100
3
A and C
105
4
A and D
95
2
B and C
205
6
B and D
150
5
C and D
55
1

The table orders distances among four points by rank, from the smallest rank for C–D to the largest for B–C. section 6.2.2

How Data Without Labels covers it

How deep it goes
Defines rank-based distances in nonmetric MDS and contrasts them with metric MDS, without detailing a ranking algorithm.
Examples
Ranks six pairwise distances among points A–D, with C–D lowest and B–C highest.
What you can do after
Understand when to preserve relative distance order instead of using absolute distance values in nonmetric MDS.
How it connects
Connects rank to nonmetric multidimensional scaling and pairwise distances among data points.

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This explainer was generated by Manning's knowledge graph from the text of Data Without Labels. The section links point to the parts of the book it draws on.