LASH is a scalable, distributed algorithm for mining sequential patterns in the presence of hierarchies. LASH takes as input a collection of sequences, each composed of items from some application-specific vocabulary. In contrast to traditional approaches to sequence mining, the items in the vocabulary are arranged in a hierarchy: both input sequences and sequential patterns may consist of items from different levels of the hierarchy. For example, the individual words in a text document can be arranged in a syntactic hierarchy: words (e.g., "lives") generalize to their lemma ("live"), which in turn generalize to their respective part-of-speech tag ("verb"). Products in sequences of customer transactions also form a natural product hierarchy, e.g. "Canon EOS 70D" may generalize to "digital camera", which generalizes to "photography", which in turn generalizes to "electronics". Entities such as persons can be arranged in "semantic hierarchies"; e.g., "Barack Obama" may generalize to "politician", "person", "entity". This generalization allows us to find sequences that would otherwise be hidden. For example, in the context of text mining, such patterns include generalized n-grams (the ADJ house) or typed relational patterns (PERSON lives in CITY). In both cases, the patterns do not actually occur in the input data, but are useful for language modeling or information extraction tasks. Hierarchies can also be exploited when mining market-basket data or product sequences. For example, users may first buy some camera, then some photography book, and finally some flash. A detailed description about LASH can be found in the SIGMOD 2015 paper.
Given a collection of input sequences of items and an item hierarchy, LASH mines all generalized sub-sequences (along with their frequencies) that:
- Occur in at least σ ≥ 1 sequences (support threshold)
- Have length at most λ ≥ 2 (length threshold)
- Have gap at most γ ≥ 0 between consecutive items (gap threshold)
- Prerequisites for building LASH
- Java JDK 1.6 or higher
- Maven 3.0 or higher
- Hadoop (for distributed processing)
- Set the environment variables
$ export JAVA_HOME=/location/of/java/ $ # for running on a hadoop cluster $ export HADOOP_HOME=/location/of/Hadoop/
- Check out the LASH source code to some directory, we will call it here has LASH_HOME
$ cd LASH_HOME $ mvn clean install
##Input Format ####Input sequences The input sequnce file(s) should have the following format:
seqId item_1 item_2 item_3 . . . item_n
i.e., the first token of each line (whitespace delimited) becomes the sequence id, and all additional text of the line is interpreted as a sequence of items.
####Hierarchies Item hierarchies should be specified in a single file using the following format:
item <tab> parent
i.e., each line (tab delimited) contains an item and its generalization (parent item). Note that each item in the hierarchy should have only one parent, i.e., the hierarchy should form a forest.
##Sequential Mode The sequential version of the algorithm runs locally on a single machine.
$ LASH_HOME/bin/lash -i path/to/input/ -H path/to/hierarchy/ -o path/to/output -s σ -g γ -l λ -m s
##Distributed Mode To run LASH on a Hadoop cluster, issue the (d)istributed mode.
$ LASH_HOME/bin/lash -i path/to/input/ -H path/to/hierarchy -o path/to/output/ -s σ -g γ -l λ -m d
path/to/input/should point to the directory containg input sequence file(s).
path/to/hierarchyshould point to the hierarchy file (the hierarchy file should not be in the same directory as input sequence files).
path/to/output/should point to the directory where output will be written.
sequence <tab> frequency
Assume that we have the following product sequences in the input file
s1 Cannon_EOS_70D The_Digital_Photography SanDisk_Extreme_32GB Dolica_GX600B200 s2 Nikon_D5300 On_Photography Ravelli_APGL5 s3 Canon_SX410 The_Art_of_Photography Kingston_8_GB_microSDHC
and a product hierarchy in the file
Cannon_EOS_70D DSLR_Camera Nikon_D5300 DSLR_Camera Canon_SX410 PointShoot_Camera DSLR_Camera Camera PointShoot_Camera Camera Dolica_GX600B200 Tripod Ravelli_APGL5 Tripod The_Digital_Photography Photography_Book On_Photography Photography_Book The_Art_of_Photography Photography_Book SanDisk_Extreme_32GB Flash Kingston_8_GB_microSDHC Flash
Run the following command to find all generalized sequences with minimum support=2, maximum length=3 and maximum gap=1.
bin/lash -i SAMPLE_INPUT/ -H hierarchy.txt -o SAMPLE_OUPUT/ -s 2 -g 1 -l 3 -m s
Camera Photography_Book 3 Camera Photography_Book Tripod 2 Camera Photography_Book Flash 2 Camera Flash 2 DSLR_Camera Photography_Book 2 DSLR_Camera Photography_Book Tripod 2 Photography_Book Tripod 2 Photography_Book Flash 2
##Command line options
-g,--gap <arg> maximum gap. -H,--hierarchy <arg> hierarchy path. -h,--help show help. -i,--input <arg> input path. -k,--keepFiles <arg> translated input path. -l,--length <arg> maximum length. -m,--mode <arg> execution mode: (s)equential or (d)istributed. -n,--numReducers <arg> number of reducers. -o,--output <arg> output path. -r,--resume <arg> translated input path. -s,--support <arg> minimum support.