FeatureDistance

FeatureDistance[example₁,example₂,extractor]

gives the distance between example₁ and example₂ in the feature space defined by extractor.

represents an operator form of FeatureDistance that can be applied to a pair of examples.

Details and Options

FeatureDistance can be used on many types of data, including numerical, textual, sounds, and images, as well as combinations of these.
The extractor is typically a FeatureExtractorFunction object as generated by FeatureExtraction.
FeatureDistance[extractor][ex₁,ex₂] is equivalent to FeatureDistance[ex₁,ex₂,extractor].
The following options can be given:
DistanceFunction Automatic the distance to use in the feature space
The option DistanceFunction can be any distance or dissimilarity function or a function f defining a distance between two values.
For numeric feature vectors, the default setting is DistanceFunctionEuclideanDistance.

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Construct a dataset of dog images:

Train an extractor function from this dataset:

Compute the distance in the feature space between two images using FeatureDistance:

Generate an operator form of FeatureDistance:

This operator form can be used to compute distances:

Compute the distance matrix of the dataset using this feature distance:

Find the dog that maximizes its distance from the others in the feature space:

Train a feature extractor to compute term frequency-inverse document frequency vectors from texts:

Construct a feature distance for this feature extractor:

The distance function EuclideanDistance has been chosen. Use the option DistanceFunction to chose CosineDistance instead:

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