Package org.apache.datasketches.theta

Class JaccardSimilarity

java.lang.Object

org.apache.datasketches.theta.JaccardSimilarity

public final class JaccardSimilarity
extends Object

Jaccard similarity of two Theta Sketches.

Author:

Lee Rhodes

Constructor Summary

Constructors

Constructor	Description
JaccardSimilarity()

Method Summary

Modifier and Type	Method	Description
static boolean	dissimilarityTest(Sketch measured, Sketch expected, double threshold)	Tests dissimilarity of a measured Sketch against an expected Sketch.
static boolean	exactlyEqual(Sketch sketchA, Sketch sketchB)	Returns true if the two given sketches have exactly the same hash values and the same theta values.
static double[]	jaccard(Sketch sketchA, Sketch sketchB)	Computes the Jaccard similarity index with upper and lower bounds.
static boolean	similarityTest(Sketch measured, Sketch expected, double threshold)	Tests similarity of a measured Sketch against an expected Sketch.

Methods inherited from class java.lang.Object

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

Constructor Details

JaccardSimilarity

public JaccardSimilarity()

Method Details

jaccard

public static double[] jaccard(Sketch sketchA,
 Sketch sketchB)

Computes the Jaccard similarity index with upper and lower bounds. The Jaccard similarity index J(A,B) = (A ^ B)/(A U B) is used to measure how similar the two sketches are to each other. If J = 1.0, the sketches are considered equal. If J = 0, the two sketches are distinct from each other. A Jaccard of .95 means the overlap between the two populations is 95% of the union of the two populations.

Note: For very large pairs of sketches, where the configured nominal entries of the sketches are 2^25 or 2^26, this method may produce unpredictable results.

Parameters:

sketchA - given sketch A

sketchB - given sketch B

Returns:

a double array {LowerBound, Estimate, UpperBound} of the Jaccard index. The Upper and Lower bounds are for a confidence interval of 95.4% or +/- 2 standard deviations.

exactlyEqual

public static boolean exactlyEqual(Sketch sketchA,
 Sketch sketchB)

Returns true if the two given sketches have exactly the same hash values and the same theta values. Thus, they are equivalent.

Parameters:

sketchA - the given sketch A

sketchB - the given sketch B

Returns:

true if the two given sketches have exactly the same hash values and the same theta values.

similarityTest

public static boolean similarityTest(Sketch measured,
 Sketch expected,
 double threshold)

Tests similarity of a measured Sketch against an expected Sketch. Computes the lower bound of the Jaccard index J_LB of the measured and expected sketches. if J_LB ≥ threshold, then the sketches are considered to be similar with a confidence of 97.7%.

Parameters:

measured - the sketch to be tested

expected - the reference sketch that is considered to be correct.

threshold - a real value between zero and one.

Returns:

if true, the similarity of the two sketches is greater than the given threshold with at least 97.7% confidence.

dissimilarityTest

public static boolean dissimilarityTest(Sketch measured,
 Sketch expected,
 double threshold)

Tests dissimilarity of a measured Sketch against an expected Sketch. Computes the upper bound of the Jaccard index J_UB of the measured and expected sketches. if J_UB ≤ threshold, then the sketches are considered to be dissimilar with a confidence of 97.7%.

Parameters:

measured - the sketch to be tested

expected - the reference sketch that is considered to be correct.

threshold - a real value between zero and one.

Returns:

if true, the dissimilarity of the two sketches is greater than the given threshold with at least 97.7% confidence.