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java.lang.Object de.aitools.aq.algebra.vector.functions.CosineSimilarity
public final class CosineSimilarity
A Similarity
measure for Vector
s.
The Cosine Similarity of two vectors is defined as the cosine
of the angle between them.
It is calculated as the dot product of the both vectors divided by the
multiplied euclidean norms of both.
The resulting similarity of a vector a and a vector b is
between 1 (if a equals b * k) and 1 (if a equals b * k),
with k being a positive rational number (and thus not zero).
A value of 0 signals that the two vectors are orthogonal or at least one
of them is the null vector.
Proximity
of this measure is equal to similarity. Normalized
proximity is the proximity plus one and divided by two.
Constructor Summary  

CosineSimilarity()
Construct a new CosineSimilarity . 
Method Summary  

double 
computeNormalizedProximity(Vector v1,
Vector v2)
Compute a kind of proximity between two objects. The value returned by this method has to be between 0 (meaning they are as far away (according to the proximity measure) from each other as possible) and 1 (identical objects according to the proximity measure). 
double 
computeProximity(Vector v1,
Vector v2)
Compute a kind of proximity between two objects. 
double 
computeSimilarity(Vector v1,
Vector v2)
Compute the Similarity between two objects. 
Methods inherited from class java.lang.Object 

equals, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait 
Constructor Detail 

public CosineSimilarity()
CosineSimilarity
.
Method Detail 

public double computeSimilarity(Vector v1, Vector v2)
Similarity
Similarity
between two objects.
A higher value signals higher similarity.
computeSimilarity
in interface Similarity<Vector>
v1
 One object, to be compared to the...v2
 ...second object
public double computeProximity(Vector v1, Vector v2)
Proximity
computeProximity
in interface Proximity<Vector>
v1
 One object, to be compared to the...v2
 ...second object
public double computeNormalizedProximity(Vector v1, Vector v2)
Proximity
computeNormalizedProximity
in interface Proximity<Vector>
v1
 One object, to be compared to the...v2
 ...second object


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