» By Joren on Wednesday 17 April 2013
TarsosLSH is a Java library implementing Locality-sensitive Hashing (LSH), a practical nearest neighbour search algorithm for multidimensional vectors that operates in sublinear time. It supports several Locality Sensitive Hashing (LSH) families: the Euclidean hash family (L2), city block hash family (L1) and cosine hash family. The library tries to hit the sweet spot between being capable enough to get real tasks done, and compact enough to serve as a demonstration on how LSH works. It relates to the Tarsos project because it is a practical way to search for and compare musical features.
Quickly Getting Started with TarsosLSH
Head over to the TarsosLSH release repository and download the latest TarsosLSH library. Consult the TarsosLSH API documentation. If you, for some reason, want to build from source, you need Apache Ant and git installed on your system. The following commands fetch the source and build the library and example jars:
git clone https://JorenSix@github.com/JorenSix/TarsosLSH.git
ant #Builds the core TarsosLSH library
ant javadoc #build the API documentation
When everything runs correctly you should be able to run the command line application, and have the latest version of the TarsosLSH library for inclusion in your projects. Also, the Javadoc documentation for the API
should be available in TarsosLSH/doc. Drop me a line if you use TarsosLSH in your project. Always nice to hear how this software is used.
The fastest way to get something on your screen is executing this on your command line:
java - jar TarsosLSH.jar this lets LSH run on a random data set. The full reference of the command line application is included below:
TarsosLSH: finds the nearest neighbours in a data set quickly, using LSH.
java - jar TarsosLSH.jar [options] dataset.txt queries.txt
Tries to find nearest neighbours for each vector in the
query file, using Euclidean (L2) distance by default.
Both dataset.txt and queries.txt have a similar format:
an optional identifier for the vector and a list of N
coordinates (which should be doubles).
[Identifier] coord1 coord2 ... coordN
[Identifier] coord1 coord2 ... coordN
For an example data set with two elements and 4 dimensions:
Hans 12 24 18.5 -45.6
Jane 13 19 -12.0 49.8
Defines the hash family to use:
l1 City block hash family (L1)
l2 Euclidean hash family(L2)
cos Cosine distance hash family
Defines the radius in which near neighbours should
be found. Should be a double. By default a reasonable
radius is determined automatically.
An integer that determines the number of hashes to
use. By default 4, 32 for the cosine hash family.
An integer that determines the number of hash tables,
each with n_hashes, to use. By default 4.
Number of neighbours in the neighbourhood, defaults to 3.
Benchmark the settings.
Prints this helpful message.
Search for nearest neighbours using the l2 hash family with a radius of 500
and utilizing 5 hash tables, each with 3 hashes.
java - jar TarsosLSH.jar -f l2 -r 500 -h 3 -t 5 dataset.txt queries.txt
Source Code Organization
The source tree is divided in three directories:
src contains the source files of the core DSP libraries.
test contains unit tests for some of the DSP functionality.
build contains ANT build files. Either to build Java documentation or runnable JAR-files for the example applications.
This section includes a links to resources used to implement this library.
- The LSH-page maintained by Alexandr Andoni contains pointers to good resources:
- Locality-Sensitive Hashing Scheme Based on p-Stable Distributions a chapter by Alexandr Andoni, Mayur Datar, Nicole Immorlica, Piotr Indyk, and Vahab Mirrokni which appeared in the book Nearest Neighbor Methods in Learning and Vision: Theory and Practice, by T. Darrell and P. Indyk and G. Shakhnarovich (eds.), MIT Press, 2006.
- Similarity Search in High Dimensions via Hashing The original LSH Paper for hamming distance by Gionis, Aristides and Indyk, Piotr and Motwani, Rajeev.
- Locality-Sensitive Hashing for Finding Nearest Neighbors a good introduction of LSH by Malcom Slaney & Michael Casey
- Finding Similar Items, Chapter Three of “Mining of Massive Datasets” by Anand Rajaraman and Jeff Ullman is a textbook introducing the LSH concept.
- Szudzik pairing functions by Matthew Szudzik. Explains how integer hashes can be combined deterministically to form a reversible, unique new hash.