org.openimaj.knn.pq

Class LongProductQuantiser

java.lang.Object

org.openimaj.knn.pq.LongProductQuantiser

@Reference(type=Article,
           author={"Jegou, Herve","Douze, Matthijs","Schmid, Cordelia"},
           title="Product Quantization for Nearest Neighbor Search",
           year="2011",
           journal="IEEE Trans. Pattern Anal. Mach. Intell.",
           pages={"117","","128"},
           url="http://dx.doi.org/10.1109/TPAMI.2010.57",
           month="January",
           number="1",
           publisher="IEEE Computer Society",
           volume="33",
           customData={"issn","0162-8828","numpages","12","doi","10.1109/TPAMI.2010.57","acmid","1916695","address","Washington, DC, USA","keywords","High-dimensional indexing, High-dimensional indexing, image indexing, very large databases, approximate search., approximate search., image indexing, very large databases"})
public class LongProductQuantiser
extends Object

Implementation of a Product Quantiser for vectors/arrays of longs. Product Quantisers quantise data into a very large number of clusters (large enough that the centroids could not possibly fit into memory - i.e. 2^64 centroids). The Product Quantiser can be used to create compressed representations of high-dimensional vectors, and also as a means to perform efficient nearest-neighbour search over large collections of vectors (which have been effectively compressed using the product quantiser).

This is achieved by breaking down the input vectors into non-overlapping sub-vectors, and applying quantisation to these sub-vectors individually. The number of bins (cluster centroids) for the sub-vectors is small (up to 256 in this implementation), but when combined over all sub-vectors, the number of bins is much larger as it accounts for all combinations of bins across sub-vectors. As only a small set of centroids needs to be held for the sub-vectors, the memory requirements are quite modest. The output of the quantisation action in this implementation is an array of bytes corresponding to the index of the matching centroid for each sub-vector (index numbers are offset by -128 so that 256 centroids indexes can fit in a single byte). The bit-pattern of this byte array could be interpreted as a numeric value of global cluster index, however in practice this is not useful.

Typically the product quantiser is "trained" so that it adapts to the data that is is being applied too. The standard approach to this is to use K-Means, however, this is not required. Insofar as this implementation is concerned, any set of compatible NearestNeighbours implementations can be provided to the constructor. Each of the NearestNeighbours could even potentially have a different number of dimensions (corresponding to the sub-vector lengths).

In the standard case, where you just want to use K-Means to train the Product Quantiser, a set of utility methods can be found in the org.openimaj.knn.pq.LongProductQuantiserUtilities class which can be found in the clustering sub-project (due to the dependence on the K-Means algorithm).

Author:

Jonathon Hare (jsh2@ecs.soton.ac.uk)

Field Summary

Fields

Modifier and Type	Field and Description
protected LongNearestNeighboursExact[]	assigners
protected int	ndims

Constructor Summary

Constructors

Constructor and Description
LongProductQuantiser(LongNearestNeighboursExact[] assigners) Construct a LongProductQuantiser with the given nearest-neighbour assigners.

Method Summary

Modifier and Type	Method and Description
long[]	decompress(byte[] qdata) Decompress the quantised data by replacing each encoded index with the actual centroid subvector.
byte[]	quantise(long[] data) Quantise the given data using this Product Quantiser.

Methods inherited from class java.lang.Object

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

Field Detail

assigners

protected LongNearestNeighboursExact[] assigners

ndims

protected int ndims

Constructor Detail

LongProductQuantiser

public LongProductQuantiser(LongNearestNeighboursExact[] assigners)

Construct a LongProductQuantiser with the given nearest-neighbour assigners. The number of dimensions of the assigners determines how long each sub-vector is. There is a one-to-one mapping between in the order of assigners and sub-vectors.

Parameters:

assigners - the nearest-neighbour assigners.

Method Detail

quantise

public byte[] quantise(long[] data)

Quantise the given data using this Product Quantiser. The output is an array of bytes corresponding to the index of the matching centroid for each sub-vector (index numbers are offset by -128 so that 256 centroids indexes can fit in a single byte).

Parameters:

data - the data to quantise

Returns:

the quantised data.

decompress

public long[] decompress(byte[] qdata)

Decompress the quantised data by replacing each encoded index with the actual centroid subvector.

Parameters:

qdata - the quantised data

Returns:

the (approximate) decompressed feature