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A Brief Overview On Frequent Pattern Mining Algorithms
Dr. N.V.E. S Murthy
Professor, CSE Department,
Andhra university, A.P, India,
P. Pushpa Latha
Asst.professor, CSE Department,
GMR Institute of Technology, A.P, India,
Abstract
Frequent pattern mining is one of the most
researched areas of data mining and has recently
received much attention from the database
community. They are proved to be quite useful in the
marketing and retail communities as well as other
more diverse fields. This survey study aims at giving
an overview of the previous researches done in the
field of frequent pattern mining algorithms and other
related issues available in the literature.
Index Terms: Frequent pattern minincg, parallel
mining, constraint mining, vertical format pattern
mining
1. Introduction:
Frequent pattern mining has been formulated in 1993
as the computational essential step in the process of
association rule mining and has been a focused theme
in data mining research. Copious literature has been
devoted to this study and incredible progress has
been made to numerous research frontiers, such as
sequential pattern mining, structured pattern mining,
correlation mining, associative classification and
frequent pattern-based clustering, as well as their
broad applications.
Frequent patterns are pattern set of items,
subsequences, subgraphs, etc. that occurs frequently
in a data set with frequency no less than a user-
specified threshold. For example, a set of items, such
as milk and bread, which appear frequently together
in a transaction data set is a frequent itemset. A
subsequence, such as buying first a Computer, then a
printer, if it occurs frequently in a database, is a
(frequent) sequential pattern. A substructure can refer
to different structural forms, such as subgraphs,
subtrees, or sublattices, which may be combined with
itemsets or subsequences. If a substructure occurs
frequently in a graph database, it is called a
(frequent) structural pattern. Therefore, frequent
pattern mining helps in finding inherent regularities
(associations) in data. Moreover, it helps in data
indexing, classification, clustering and other data
mining tasks as well. Thus, frequent pattern mining
plays an essential role in mining associations and has
become an important data mining task.
One important task of frequent pattern mining is
association rule mining which was first proposed
by Agrawal et al. in 1993 for market basket analysis
in the form of association rule mining. It analyses
customer buying behavior by finding associations
between the different items that customers place in
their shopping baskets. Many people have proposed
several enhanced algorithms for generating frequent
itemsets and all these algorithms differ in some or
other ways such as traversing the itemset, satisfying
the properties of itemset support and confidence,
number of times to scan the entire database and how
they reduce the size of the processed database in each
pass and so on….Based on the above issues,
following sections present an overview of the current
status of frequent pattern mining algorithms and
some challenging research issues.
2. Basic Algorithms:
In this section we provide some basic frequent
pattern mining algorithms. Most algorithms used can
be classified as either sequential or parallel. In most
cases, it is assumed that the itemsets are identified
and stored in lexicographic order (based on item
name) which provides a logical manner in which
itemsets can be generated and counted. This is the
normal approach with sequential algorithms. On the
other hand, parallel algorithms focus on how to
parallelize the task of finding large itemsets. In the
following subsections we describe important features
of previously proposed algorithms.
Fig.1 classification of frequent pattern mining
algorithms
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2.1. Sequential Pattern Mining Algorithms
There are different algorithms used to mine frequent
itemsets. All these algorithms vary mainly in terms of
properties of itemset support and confidence, number
of times to scan the entire database and how they
reduce the size of the processed database in each pass
2.1.1 AIS:
The real buzz in 1990’s was about how to emulate
the biological immune system. The capacity of the
immune system to proliferate cells that produce
antibodies whenever it detects a high degree of
matching with an antigen is. A series of algorithms
were invented and new systems called artificial
immune systems were designed. [20] AIS was the
first algorithm that introduced by agrawal et al. in the
year 1993, it was proposed to address the problem of
association rule mining. This is a multi-pass
algorithm in which candidate itemsets are generated
while scanning the database by extending known-
frequent itemsets with items from each transaction.
The two major drawback of the AIS algorithm is that
it generates too many candidates that later turn out to
be infrequent and the data structures required for
maintaining frequent and candidate itemsets were not
specified.
2.1.2 SETM:
[17] The desire to use SQL to generate frequent
itemsets results in the introduction of another new
algorithm known as SETM. This algorithm was
actually created by Houtsma and Swami in October
1993 and included in a research report while they
were working in the IBM Almaden Research Center
but for some reason it was officially released only in
1995. The algorithm also generates candidates on the
fly based on the transaction read from the database,
just like AIS algorithm. But SETM was more created
for SQL computing and uses relational operations. To
use standard SQL join operation for candidate
generation, SETM separates candidate generation
from counting. It first generates the candidates using
equi-joins and then it sorts them all and removes the
ones that don't meet the minimum support. Like AIS,
SETM also makes multiple passes over the database
and generates many candidate itemsets that in the end
turn out not be frequent.
2.1.3APRIORI:
The AIS and SETM algorithm was followed by the
Apriori algorithm that was shown to perform better
than AIS and SETM by an order of magnitude.
Agrawal and srikanth in 1994 observed that the main
problem that arises in SETM is due to the number of
candidates itemsets. Since, for each candidate itemset
there is a TID associated with it, it requires more
space to store a large number of TIDs. Furthermore,
Sarawagi et al. in 1998 has also mentioned that
SETM is inefficient. [21] Apriori algorithm was
proposed by Agrawal and srikanth in 1994 that was
shown to perform better than AIS and SETM. The
authors became the legends in the data mining area.
They both received masters and PhDs from
University of Wisconsin, Madison and both worked
for IBM. The IBM's Intelligent Miner was created
mainly by them. The most important property of
Apriori is that it does not process any itemset whose
subset is known to be infrequent (downward closure
property). This implies that frequent itemsets can be
mined by first scanning the database to find the
frequent 1-itemsets, then using the frequent 1-
itemsets to generate candidate frequent 2-itemsets
and check against the database to obtain the frequent
2-itemsets. This process iterates until no more
frequent k-itemsets can be generated for some k. It
utilizes a data structure called hash tree to store the
counters of candidate itemsets and alternatives to this
algorithm is Mannila et al., 1994.
The two major drawbacks with this algorithm is that
it performs n passes over the database, where n is the
length of the longest frequent itemset and it follows a
tuple-by-tuple approach that is, it updates counters of
candidate itemsets after reading in each transaction
from the database. Hence it suffers from the
drawback that much redundant is performed after
each and every transaction.
2.1.3.1 Improving the efficiency of Apriori
Since, the Apriori algorithm was proposed there have
been many studies on the improvements or
extensions of Apriori. Following section describes
some important variations of Apriori algorithm.
DHP(Direct Hashing and Pruning): [11] As its
name suggests, DHP uses a hash technique that
makes it very efficient for the generation of candidate
itemsets, in particular for the large two-itemsets, thus
greatly improving the performance bottleneck of the
whole process. In addition, DHP employs effective
pruning techniques to progressively reduce the
transaction database size.
Partitioning technique: [1] The algorithm is
fundamentally different from all the previous
algorithms in that it reads the database at most two
times to generate all significant association rules. In
the first scan of the database, it generates a set of all
potentially large itemsets by scanning the database
once and dividing it in a number of non-overlapping
partitions. This set is a superset of all frequent
itemsets so it may contain itemsets that are not
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frequent. During the second scan, counters for each
of these itemsets are set up and their actual support is
measured.
Sampling approach: [8] This algorithm was
proposed by Toivonen in the year 1996 which
reduces the database activity. The idea is it first
mines a random sample of the database to obtain
itemsets that are frequent within the sample. The
algorithm thus produce exact association rules, not
approximations based on a sample. The approach is,
however, probabilistic, and in those rare cases where
our sampling method does not produce all association
rules, the missing rules can be found in second pass
over the entire database. The sampling algorithm too
follows a tuple-by-tuple approach and hence, like
Apriori, suffers from the above mentioned drawback.
Parthasarathy [19] presented an efficient method to
progressively sample for association rules. Chuang et
al. [3] explore another progressive sampling
algorithm, called Sampling Error Estimation (SEE),
which aims to identify an appropriate sample size for
mining association rules.
DIC (Dynamic Itemset Counting): [23] The DIC
algorithm was proposed by Brin et al., in the year
1997 also known as non-level-wise algorithm. In
DIC, candidates are generated and removed after
every M transaction, where M is a parameter to the
algorithm. Although, it is a multi-pass algorithm, it
was shown to complete within two passes typically. It
however, suffers from the drawbacks of tuple-by-
tuple approaches. This algorithm is considered as a
closer to the sampling approach proposed
by Toivonen, 1996.
Mining with RDBMS: [24] Data mining on large
data warehouses is becoming increasingly important.
In this regard the association rule algorithms were
studied with the twin goals of finding the trade-offs
between architectural options and the extensions
needed in a DBMS to efficiently support mining.
Many experiments were conducted in different ways
for implementing the association rules mining
algorithm in SQL to find if it is at all possible to get
competitive performance out of SQL
implementations.
CARMA(Continuous Association Rule Mining
Algorithm): [10] This is a novel algorithm which is
proposed to compute large itemsets online. Being
online, the user is free to change the support
threshold parameters such as minimum support and
minimum confidence, at any time during the first
scan of the transaction sequence. After at most 2
scans the algorithm terminates with the precise
support for each large itemset. Although this
algorithm did not perform consistently better than
Apriori, but by order of magnitude memory
utilization is more efficient than Apriori or DIC.
2.1.4 FP-GROWTH:
The Apriori algorithm significantly reduces the size
of candidate sets using the Apriori property.
However, it can suffer from two-nontrivial costs: (1)
generating a huge number of candidate sets and (2)
repeatedly scanning the database and checking the
candidates by pattern matching. So to overcome these
two drawbacks Han et al., devised an FP-growth
algorithm [12] based on divide and conquer principle
that mines the complete set of frequent itemsets
without candidate generation.
It adopts a divide-and-conquer strategy and a FP-
Tree[9]. The frequent itemsets are generated with
only two passes over the database and without any
candidate generation process. In the first pass, the
algorithm counts occurrence of items in the dataset,
and stores them to 'header table'. In the second pass,
it builds the FP-tree structure by inserting instances.
Items in each instance that do not meet minimum
coverage threshold are simply discarded.
2.1.4.1 Improvements in FP growth algorithm
There are many alternatives and extensions to the FP-
growth approach such as:
[28] pascal, by Bastide et al.,(2000) which is named
after the French mathematician Blaise Pascal it is
basically an optimization of the Apriori algorithm.
The authors introduce the notion of key patterns and
show that other frequent patterns can be inferred
from the key patterns without access to the database.
The algorithm finds both frequent and closed sets and
it is twice as fast as Close and 10 times as fast as
Apriori but is only practical when the pattern length
is short.
[14] H-Mine(Hyper-Structure Mining of Frequent
Patterns in Large Databases), by Pei et al.
(2001) which introduces the concept of hyperlinked
data structure (H-struct) and uses it to dynamically
adjust links in the mining process and explores a
hyper-structure mining of frequent patterns.
MAFIA(Maximal frequent itemset algorithm) [6] for
transactional databases, by DougBurdick et al., is an
algorithm where search strategy integrates a depth-
first traversal of the itemset lattice.
An array-based implementation of prefix-tree-
structure for efficient pattern growth mining
by Grahne and Zhu in 2003 is an efficient array-
based algorithm for mining frequent itemsets that
greatly reduces the need to traverse FP-trees, thus
obtaining significantly improved performance for FP
tree based algorithms. This algorithm suits well for
sparse datasets. This method outperforms not only
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the existing methods that use the FP-tree structure,
but also all existing available algorithms in all the
common data mining problems. [2] RELIM
(Recursive Elimination), by Christian Borgelt in 2005
algorithm is strongly inspired by FP-growth and very
similar to H-mine. It doesn't use prefix trees and any
other complicated structures. The work is done in one
simple recursive function, which can be written with
relatively few lines of code.
2.2 Parallel Frequent pattern mining
algorithms
The algorithms which adopt the parallelism paradigm
can be classified into two categories such as data and
task. The algorithms relating to data parallelism
include:
2.2.1 CD:
[22] In CD, the database D is partitioned into {D1
,
D2
, …, Dp
} and distributed across n processors. In
this algorithm it involves three steps. In step 1, local
support counts of the candidates Ck in the local
database partition Di
are found. In step 2, each
processor exchanges the local support counts of all
candidates to get the global support counts of all
candidates. In step 3, the globally large itemsets Lk
are identified and the candidates of size k+1 are
generated by applying an algorithm on each
processor independently.
2.2.2 PDM (parallel Data Mining):
[13] PDM is a modification of CD with inclusion of
the direct hashing technique proposed in [Park1995].
The hash technique is used to prune some candidates
in the next pass. It is especially useful for the second
pass, as Apriori doesn't have any pruning in
generating C2 from L1.
2.2.3 DMA (Distributed Mining Algorithm) :
[5] DMA is also based on the data parallelism
paradigm with the addition of candidate pruning
techniques and communication message reduction
techniques introduced.
2.2.4 CCPD (Common Candidate Partitioned
Database):
[18] CCPD implements CD on a shared-memory SGI
Power Challenge with some improvements. It
proposes techniques for efficiently generating and
counting the candidates in a shared-memory
environment. It groups the large itemsets into
equivalence classes based on the common prefixes
and generates the candidates from each equivalence
class.
The algorithms relating to task parallelism include:
2.2.5 DD (Data Distribution):
[22], in DD the candidates are partitioned and
distributed over all the processors in a round-robin
fashion. There are three steps. In step one, each
processor scans the local database partition to get the
local counts of the candidates distributed to it. In step
two, every processor broadcasts its database partition
to the other processors and receives the other
database partitions from the other processors, then
scans the received database partitions to get global
support counts in the whole database. In the last step,
each processor computes the large itemsets in its
candidate partition, exchanges with all others to get
all the large itemsets, and then generates the
candidates, partitions and distributes the candidates
over all processors. These steps continue until there
are no more candidates generated.
2.2.6 IDD (Intelligent Data Distribution):
IDD is an improvement over DD [7]. It partitions the
candidates across the processors based on the first
item of the candidates, that is, the candidates with the
same first item will be partitioned into the same
partition. Therefore, each processor needs to check
only the subsets which begin with one of the items
assigned to the processor.
2.2.7HPA(Hash-based Parallel mining of
Association rules):
[25] HPA uses a hashing technique to distribute the
candidates to different processors [Shintani1996],
i.e., each processor uses the same hash function to
compute the candidates distributed to it.
2.2.8 PAR (Parallel Association Rules):
[16] PAR consists of a set of algorithms, which use
different candidate partitioning and counting. They
all assume a vertical database partition (tid lists for
each item), contrast to the natural horizontal database
partition (transaction lists). By using the vertical
organization for the database, the counting of an
itemset can simply be done by the intersection of the
tid lists of the items in the itemset.
There are some other parallel algorithms which
cannot be classified into the two paradigms if strictly
speaking. Although they share similar ideas with the
two paradigms, they have distinct features. These
parallel algorithms include Candidate Distribution
[22], SH(Skew Handling) [15] and HD(Hybrid
Distribution) [7].
2.3. Constraint based frequent pattern
mining
In order to improve the efficiency of existing mining
algorithms, constraints were applied during the
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mining process to generate only those patterns that
are interesting to users instead of all the patterns.
Very often users want to restrict the set of patterns to
be discovered by adding extra constraints on the
structure of patterns. Data mining systems should be
able to exploit such constraints to speedup the mining
process. Wojciechowski and Zakrzewicz [27] focus
on improving the efficiency of constraint-based
frequent pattern mining by using dataset filtering
techniques. Dataset filtering conceptually transforms
a given data mining task into an equivalent one
operating on a smaller dataset. Tien Dung Do et al
[26] proposed a specific type of constraints called
category-based as well as the associated algorithm for
constrained rule mining based on Apriori. The
Category-based Apriori algorithm reduces the
computational complexity of the mining process by
bypassing most of the subsets of the final itemsets.
An algorithm, ExAnte, was proposed by Bonchi et al.
(2003) to further prune the data search space with the
imposed monotone constraints. Gade etal.
(2004) proposed a block constraint which determines
the significance of an itemset by considering the
dense block formed by the pattern’s items and
transactions. An efficient algorithm is developed to
mine the closed itemsets that satisfy the block
constraints. Bonchi and Lucchese (2004) proposed an
algorithm for mining closed constrained patterns by
pushing deep monotonic constraints as well. Yun and
Leggett (2005) proposed a weighted frequent itemset
mining algorithm with the aim of pushing the weight
constraint into the mining while maintaining the
downward closure property.
2.4 Incremental Frequent Pattern Mining
[4] An incremental updating technique is developed
for maintenance of the association rules discovered
by database mining. There have been many studies
on efficient discovery of association rules in large
databases. However, it is nontrivial to maintain such
discovered rules in large databases because a
database may allow frequent or occasional updates
and such updates may not only invalidate some
existing strong association rules but also turn some
weak rules into strong ones. The various algorithms
include:
2.4.1 FUP algorithm(Fast Update algorithm)
(Cheung et al., 1996) FUP is the first algorithm in the
field of incremental mining. It operates on an
iterative basis and makes a complete scan of the
current database. In each scan, the increment is
processed first and the results obtained are used to
guide the mining of the original database. An
important point to note about the FUP algorithm is
that it requires k passes over the entire databse, where
k is the cardinality of the longest frequent itemset.
Further, it does not generate the mining results for
solely the increment.
2.5 Frequent Pattern Mining with Vertical
Data Format
Most of the algorithms discussed earlier generate
frequent itemsets from a set of transactions in
horizontal data format (i.e., {TID: itemset}), where
TID is a transaction- id and itemset is the set of items
contained in transaction TID. Alternatively, mining
can also be performed with data presented in vertical
data format (i.e., {item: TID_set}). Algorithms which
use vertical data format are MAXECLAT, CLIQUE,
MAXCLIQUE, TOP-DOWN but ECLAT remained
the best known. Few algorithms that supports vertical
data format are:
2.5.1 MaxClique:
While the above mentioned algorithms were
primarily horizontal (tuple) based approaches, the
MaxClique (Zaki et al., 1997) algorithm is designed
to efficiently mine databases that are available in a
vertical layout.
2.5.2Eclat(Echivalence Class Clustering and
Bottom-up Lattice Traversal):
[16] It is the first algorithm that uses a vertical data
(inverted) layout. ECLAT is very efficient for large
itemsets but less efficient for small ones. The
frequent itemsets are determined using simple tid-list
intersections in a depth-first graph. Zaki
(2000) proposed Equivalence CLASS
Transformation (Eclat) algorithm by exploring the
vertical data format. The first scan of the database
builds the TID_set of each single item. Starting with
a single item (k = 1), the frequent (k+1)-itemsets
grown from a previous k-itemset are generated by
Apriori property, with a depth-first computation order
similar to FP-growth (Han et al., 2004). The
computation is done by intersection of the TID_sets
of the frequent k-itemsets to compute the TID_sets of
the corresponding (k+1)-itemsets. This process
repeats, until no frequent itemsets or no candidate
itemsets can be found.
2.5.3VIPER:
Unlike earlier vertical mining algorithms which were
subject to various restrictions on the underlying
database size, shape, contents or the mining process,
the viper (Shenoy et al., 2000) algorithm does not
have any such restrictions. It includes many
optimizations to enable efficient processing and was
shown to outperform earlier vertical mining
algorithms.
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3. Comparison of algorithms
The comparison of various algorithms is based upon
several metrics. Space requirements can be estimated
by looking at the maximum number of candidates
being counted during any scan of the database. We
can estimate the time requirements by counting the
maximum number of database scans needed and the
maximum number of comparison operations.
Comparison of various algorithms is:
4. Challenging Issues in FP-Mining:
The main research issues with regard to frequent
pattern mining are:
 A lot of attention was focused on the
performance and scalability of the algorithms, but not
enough attention was given to the issues related to
ease, flexibility and reusability for generating frequent
patterns.
 Most of the algorithms for discovering
frequent patterns available in the literature require
multiple passes over the database resulting in a large
number of disk reads and placing a huge burden on
the I/O subsystem. This calls for the introduction of
mining algorithms that offers single database scan.
 Various algorithms are available that can
help reveal patterns and relationships, but they does
not tell the user the value or significance of these
patterns.
 Most of the algorithms available in the
literature do not offer flexibility for testing the
validity of Meta rules.
 There is a requirement for the development
of parallel and/or distributed algorithms in order to
speed up the computation activity
 Most of the algorithms available in the
literature for mining frequent itemsets do not offer
flexibility for reusing the computation during mining
process.
 Much research is still needed to substantially
reduce the size of derived patterns and enhance the
quality of retained patterns (compact high quality
pattern set).
Conclusion
Data mining has importance regarding finding the
patterns, forecasting, discovery of knowledge etc., in
different business domains.In this paper, we
presented a brief overview of the status of frequent
pattern mining algorithms. Over a decade there have
been a extensive research, many publications,
development and application activities in this
domain. It is impossible to give a overall
developments on this topic with limited space.
Hopefully, this short overview may provide a rough
outline to the people a general view of the field.
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[23] S.Brin, R. Motwani, S. Tsur, “Dynamic itemset
counting and implication rules for market basket
data”,1997.
[24] Sunita Sarawagi , Shiby Thomas , Rakesh
Agrawal , “integrating mining with relational
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[25] Takahiko Shintani and Masaru Kitsuregawa,
Hash Based Parallel Algorithms for Mining
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[26] Tien Dung Do, Siu Cheung Hui, Alvis Fong,
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[27] Wojciechowski, M., Zakrzewicz, M., “Dataset
Filtering Techniques in Constraint-Based Frequent
Pattern Mining”, Lecture Notes in Computer Science,
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[28] Y. Bastide, R. Taouil, N. Pasquier, G. Stumme,
L. Lakhal , ”Mining Frequent Patterns with Counting
Inference” ACM SIGKDD Explorations Newsletter,
in 2000.
1677
International Journal of Engineering Research & Technology (IJERT)
Vol. 2 Issue 4, April - 2013
ISSN: 2278-0181
www.ijert.org
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A Brief Overview On Frequent Pattern Mining Algorithms

  • 1. A Brief Overview On Frequent Pattern Mining Algorithms Dr. N.V.E. S Murthy Professor, CSE Department, Andhra university, A.P, India, P. Pushpa Latha Asst.professor, CSE Department, GMR Institute of Technology, A.P, India, Abstract Frequent pattern mining is one of the most researched areas of data mining and has recently received much attention from the database community. They are proved to be quite useful in the marketing and retail communities as well as other more diverse fields. This survey study aims at giving an overview of the previous researches done in the field of frequent pattern mining algorithms and other related issues available in the literature. Index Terms: Frequent pattern minincg, parallel mining, constraint mining, vertical format pattern mining 1. Introduction: Frequent pattern mining has been formulated in 1993 as the computational essential step in the process of association rule mining and has been a focused theme in data mining research. Copious literature has been devoted to this study and incredible progress has been made to numerous research frontiers, such as sequential pattern mining, structured pattern mining, correlation mining, associative classification and frequent pattern-based clustering, as well as their broad applications. Frequent patterns are pattern set of items, subsequences, subgraphs, etc. that occurs frequently in a data set with frequency no less than a user- specified threshold. For example, a set of items, such as milk and bread, which appear frequently together in a transaction data set is a frequent itemset. A subsequence, such as buying first a Computer, then a printer, if it occurs frequently in a database, is a (frequent) sequential pattern. A substructure can refer to different structural forms, such as subgraphs, subtrees, or sublattices, which may be combined with itemsets or subsequences. If a substructure occurs frequently in a graph database, it is called a (frequent) structural pattern. Therefore, frequent pattern mining helps in finding inherent regularities (associations) in data. Moreover, it helps in data indexing, classification, clustering and other data mining tasks as well. Thus, frequent pattern mining plays an essential role in mining associations and has become an important data mining task. One important task of frequent pattern mining is association rule mining which was first proposed by Agrawal et al. in 1993 for market basket analysis in the form of association rule mining. It analyses customer buying behavior by finding associations between the different items that customers place in their shopping baskets. Many people have proposed several enhanced algorithms for generating frequent itemsets and all these algorithms differ in some or other ways such as traversing the itemset, satisfying the properties of itemset support and confidence, number of times to scan the entire database and how they reduce the size of the processed database in each pass and so on….Based on the above issues, following sections present an overview of the current status of frequent pattern mining algorithms and some challenging research issues. 2. Basic Algorithms: In this section we provide some basic frequent pattern mining algorithms. Most algorithms used can be classified as either sequential or parallel. In most cases, it is assumed that the itemsets are identified and stored in lexicographic order (based on item name) which provides a logical manner in which itemsets can be generated and counted. This is the normal approach with sequential algorithms. On the other hand, parallel algorithms focus on how to parallelize the task of finding large itemsets. In the following subsections we describe important features of previously proposed algorithms. Fig.1 classification of frequent pattern mining algorithms 1671 International Journal of Engineering Research & Technology (IJERT) Vol. 2 Issue 4, April - 2013 ISSN: 2278-0181 www.ijert.org I J E R T I J E R T
  • 2. 2.1. Sequential Pattern Mining Algorithms There are different algorithms used to mine frequent itemsets. All these algorithms vary mainly in terms of properties of itemset support and confidence, number of times to scan the entire database and how they reduce the size of the processed database in each pass 2.1.1 AIS: The real buzz in 1990’s was about how to emulate the biological immune system. The capacity of the immune system to proliferate cells that produce antibodies whenever it detects a high degree of matching with an antigen is. A series of algorithms were invented and new systems called artificial immune systems were designed. [20] AIS was the first algorithm that introduced by agrawal et al. in the year 1993, it was proposed to address the problem of association rule mining. This is a multi-pass algorithm in which candidate itemsets are generated while scanning the database by extending known- frequent itemsets with items from each transaction. The two major drawback of the AIS algorithm is that it generates too many candidates that later turn out to be infrequent and the data structures required for maintaining frequent and candidate itemsets were not specified. 2.1.2 SETM: [17] The desire to use SQL to generate frequent itemsets results in the introduction of another new algorithm known as SETM. This algorithm was actually created by Houtsma and Swami in October 1993 and included in a research report while they were working in the IBM Almaden Research Center but for some reason it was officially released only in 1995. The algorithm also generates candidates on the fly based on the transaction read from the database, just like AIS algorithm. But SETM was more created for SQL computing and uses relational operations. To use standard SQL join operation for candidate generation, SETM separates candidate generation from counting. It first generates the candidates using equi-joins and then it sorts them all and removes the ones that don't meet the minimum support. Like AIS, SETM also makes multiple passes over the database and generates many candidate itemsets that in the end turn out not be frequent. 2.1.3APRIORI: The AIS and SETM algorithm was followed by the Apriori algorithm that was shown to perform better than AIS and SETM by an order of magnitude. Agrawal and srikanth in 1994 observed that the main problem that arises in SETM is due to the number of candidates itemsets. Since, for each candidate itemset there is a TID associated with it, it requires more space to store a large number of TIDs. Furthermore, Sarawagi et al. in 1998 has also mentioned that SETM is inefficient. [21] Apriori algorithm was proposed by Agrawal and srikanth in 1994 that was shown to perform better than AIS and SETM. The authors became the legends in the data mining area. They both received masters and PhDs from University of Wisconsin, Madison and both worked for IBM. The IBM's Intelligent Miner was created mainly by them. The most important property of Apriori is that it does not process any itemset whose subset is known to be infrequent (downward closure property). This implies that frequent itemsets can be mined by first scanning the database to find the frequent 1-itemsets, then using the frequent 1- itemsets to generate candidate frequent 2-itemsets and check against the database to obtain the frequent 2-itemsets. This process iterates until no more frequent k-itemsets can be generated for some k. It utilizes a data structure called hash tree to store the counters of candidate itemsets and alternatives to this algorithm is Mannila et al., 1994. The two major drawbacks with this algorithm is that it performs n passes over the database, where n is the length of the longest frequent itemset and it follows a tuple-by-tuple approach that is, it updates counters of candidate itemsets after reading in each transaction from the database. Hence it suffers from the drawback that much redundant is performed after each and every transaction. 2.1.3.1 Improving the efficiency of Apriori Since, the Apriori algorithm was proposed there have been many studies on the improvements or extensions of Apriori. Following section describes some important variations of Apriori algorithm. DHP(Direct Hashing and Pruning): [11] As its name suggests, DHP uses a hash technique that makes it very efficient for the generation of candidate itemsets, in particular for the large two-itemsets, thus greatly improving the performance bottleneck of the whole process. In addition, DHP employs effective pruning techniques to progressively reduce the transaction database size. Partitioning technique: [1] The algorithm is fundamentally different from all the previous algorithms in that it reads the database at most two times to generate all significant association rules. In the first scan of the database, it generates a set of all potentially large itemsets by scanning the database once and dividing it in a number of non-overlapping partitions. This set is a superset of all frequent itemsets so it may contain itemsets that are not 1672 International Journal of Engineering Research & Technology (IJERT) Vol. 2 Issue 4, April - 2013 ISSN: 2278-0181 www.ijert.org I J E R T I J E R T
  • 3. frequent. During the second scan, counters for each of these itemsets are set up and their actual support is measured. Sampling approach: [8] This algorithm was proposed by Toivonen in the year 1996 which reduces the database activity. The idea is it first mines a random sample of the database to obtain itemsets that are frequent within the sample. The algorithm thus produce exact association rules, not approximations based on a sample. The approach is, however, probabilistic, and in those rare cases where our sampling method does not produce all association rules, the missing rules can be found in second pass over the entire database. The sampling algorithm too follows a tuple-by-tuple approach and hence, like Apriori, suffers from the above mentioned drawback. Parthasarathy [19] presented an efficient method to progressively sample for association rules. Chuang et al. [3] explore another progressive sampling algorithm, called Sampling Error Estimation (SEE), which aims to identify an appropriate sample size for mining association rules. DIC (Dynamic Itemset Counting): [23] The DIC algorithm was proposed by Brin et al., in the year 1997 also known as non-level-wise algorithm. In DIC, candidates are generated and removed after every M transaction, where M is a parameter to the algorithm. Although, it is a multi-pass algorithm, it was shown to complete within two passes typically. It however, suffers from the drawbacks of tuple-by- tuple approaches. This algorithm is considered as a closer to the sampling approach proposed by Toivonen, 1996. Mining with RDBMS: [24] Data mining on large data warehouses is becoming increasingly important. In this regard the association rule algorithms were studied with the twin goals of finding the trade-offs between architectural options and the extensions needed in a DBMS to efficiently support mining. Many experiments were conducted in different ways for implementing the association rules mining algorithm in SQL to find if it is at all possible to get competitive performance out of SQL implementations. CARMA(Continuous Association Rule Mining Algorithm): [10] This is a novel algorithm which is proposed to compute large itemsets online. Being online, the user is free to change the support threshold parameters such as minimum support and minimum confidence, at any time during the first scan of the transaction sequence. After at most 2 scans the algorithm terminates with the precise support for each large itemset. Although this algorithm did not perform consistently better than Apriori, but by order of magnitude memory utilization is more efficient than Apriori or DIC. 2.1.4 FP-GROWTH: The Apriori algorithm significantly reduces the size of candidate sets using the Apriori property. However, it can suffer from two-nontrivial costs: (1) generating a huge number of candidate sets and (2) repeatedly scanning the database and checking the candidates by pattern matching. So to overcome these two drawbacks Han et al., devised an FP-growth algorithm [12] based on divide and conquer principle that mines the complete set of frequent itemsets without candidate generation. It adopts a divide-and-conquer strategy and a FP- Tree[9]. The frequent itemsets are generated with only two passes over the database and without any candidate generation process. In the first pass, the algorithm counts occurrence of items in the dataset, and stores them to 'header table'. In the second pass, it builds the FP-tree structure by inserting instances. Items in each instance that do not meet minimum coverage threshold are simply discarded. 2.1.4.1 Improvements in FP growth algorithm There are many alternatives and extensions to the FP- growth approach such as: [28] pascal, by Bastide et al.,(2000) which is named after the French mathematician Blaise Pascal it is basically an optimization of the Apriori algorithm. The authors introduce the notion of key patterns and show that other frequent patterns can be inferred from the key patterns without access to the database. The algorithm finds both frequent and closed sets and it is twice as fast as Close and 10 times as fast as Apriori but is only practical when the pattern length is short. [14] H-Mine(Hyper-Structure Mining of Frequent Patterns in Large Databases), by Pei et al. (2001) which introduces the concept of hyperlinked data structure (H-struct) and uses it to dynamically adjust links in the mining process and explores a hyper-structure mining of frequent patterns. MAFIA(Maximal frequent itemset algorithm) [6] for transactional databases, by DougBurdick et al., is an algorithm where search strategy integrates a depth- first traversal of the itemset lattice. An array-based implementation of prefix-tree- structure for efficient pattern growth mining by Grahne and Zhu in 2003 is an efficient array- based algorithm for mining frequent itemsets that greatly reduces the need to traverse FP-trees, thus obtaining significantly improved performance for FP tree based algorithms. This algorithm suits well for sparse datasets. This method outperforms not only 1673 International Journal of Engineering Research & Technology (IJERT) Vol. 2 Issue 4, April - 2013 ISSN: 2278-0181 www.ijert.org I J E R T I J E R T
  • 4. the existing methods that use the FP-tree structure, but also all existing available algorithms in all the common data mining problems. [2] RELIM (Recursive Elimination), by Christian Borgelt in 2005 algorithm is strongly inspired by FP-growth and very similar to H-mine. It doesn't use prefix trees and any other complicated structures. The work is done in one simple recursive function, which can be written with relatively few lines of code. 2.2 Parallel Frequent pattern mining algorithms The algorithms which adopt the parallelism paradigm can be classified into two categories such as data and task. The algorithms relating to data parallelism include: 2.2.1 CD: [22] In CD, the database D is partitioned into {D1 , D2 , …, Dp } and distributed across n processors. In this algorithm it involves three steps. In step 1, local support counts of the candidates Ck in the local database partition Di are found. In step 2, each processor exchanges the local support counts of all candidates to get the global support counts of all candidates. In step 3, the globally large itemsets Lk are identified and the candidates of size k+1 are generated by applying an algorithm on each processor independently. 2.2.2 PDM (parallel Data Mining): [13] PDM is a modification of CD with inclusion of the direct hashing technique proposed in [Park1995]. The hash technique is used to prune some candidates in the next pass. It is especially useful for the second pass, as Apriori doesn't have any pruning in generating C2 from L1. 2.2.3 DMA (Distributed Mining Algorithm) : [5] DMA is also based on the data parallelism paradigm with the addition of candidate pruning techniques and communication message reduction techniques introduced. 2.2.4 CCPD (Common Candidate Partitioned Database): [18] CCPD implements CD on a shared-memory SGI Power Challenge with some improvements. It proposes techniques for efficiently generating and counting the candidates in a shared-memory environment. It groups the large itemsets into equivalence classes based on the common prefixes and generates the candidates from each equivalence class. The algorithms relating to task parallelism include: 2.2.5 DD (Data Distribution): [22], in DD the candidates are partitioned and distributed over all the processors in a round-robin fashion. There are three steps. In step one, each processor scans the local database partition to get the local counts of the candidates distributed to it. In step two, every processor broadcasts its database partition to the other processors and receives the other database partitions from the other processors, then scans the received database partitions to get global support counts in the whole database. In the last step, each processor computes the large itemsets in its candidate partition, exchanges with all others to get all the large itemsets, and then generates the candidates, partitions and distributes the candidates over all processors. These steps continue until there are no more candidates generated. 2.2.6 IDD (Intelligent Data Distribution): IDD is an improvement over DD [7]. It partitions the candidates across the processors based on the first item of the candidates, that is, the candidates with the same first item will be partitioned into the same partition. Therefore, each processor needs to check only the subsets which begin with one of the items assigned to the processor. 2.2.7HPA(Hash-based Parallel mining of Association rules): [25] HPA uses a hashing technique to distribute the candidates to different processors [Shintani1996], i.e., each processor uses the same hash function to compute the candidates distributed to it. 2.2.8 PAR (Parallel Association Rules): [16] PAR consists of a set of algorithms, which use different candidate partitioning and counting. They all assume a vertical database partition (tid lists for each item), contrast to the natural horizontal database partition (transaction lists). By using the vertical organization for the database, the counting of an itemset can simply be done by the intersection of the tid lists of the items in the itemset. There are some other parallel algorithms which cannot be classified into the two paradigms if strictly speaking. Although they share similar ideas with the two paradigms, they have distinct features. These parallel algorithms include Candidate Distribution [22], SH(Skew Handling) [15] and HD(Hybrid Distribution) [7]. 2.3. Constraint based frequent pattern mining In order to improve the efficiency of existing mining algorithms, constraints were applied during the 1674 International Journal of Engineering Research & Technology (IJERT) Vol. 2 Issue 4, April - 2013 ISSN: 2278-0181 www.ijert.org I J E R T I J E R T
  • 5. mining process to generate only those patterns that are interesting to users instead of all the patterns. Very often users want to restrict the set of patterns to be discovered by adding extra constraints on the structure of patterns. Data mining systems should be able to exploit such constraints to speedup the mining process. Wojciechowski and Zakrzewicz [27] focus on improving the efficiency of constraint-based frequent pattern mining by using dataset filtering techniques. Dataset filtering conceptually transforms a given data mining task into an equivalent one operating on a smaller dataset. Tien Dung Do et al [26] proposed a specific type of constraints called category-based as well as the associated algorithm for constrained rule mining based on Apriori. The Category-based Apriori algorithm reduces the computational complexity of the mining process by bypassing most of the subsets of the final itemsets. An algorithm, ExAnte, was proposed by Bonchi et al. (2003) to further prune the data search space with the imposed monotone constraints. Gade etal. (2004) proposed a block constraint which determines the significance of an itemset by considering the dense block formed by the pattern’s items and transactions. An efficient algorithm is developed to mine the closed itemsets that satisfy the block constraints. Bonchi and Lucchese (2004) proposed an algorithm for mining closed constrained patterns by pushing deep monotonic constraints as well. Yun and Leggett (2005) proposed a weighted frequent itemset mining algorithm with the aim of pushing the weight constraint into the mining while maintaining the downward closure property. 2.4 Incremental Frequent Pattern Mining [4] An incremental updating technique is developed for maintenance of the association rules discovered by database mining. There have been many studies on efficient discovery of association rules in large databases. However, it is nontrivial to maintain such discovered rules in large databases because a database may allow frequent or occasional updates and such updates may not only invalidate some existing strong association rules but also turn some weak rules into strong ones. The various algorithms include: 2.4.1 FUP algorithm(Fast Update algorithm) (Cheung et al., 1996) FUP is the first algorithm in the field of incremental mining. It operates on an iterative basis and makes a complete scan of the current database. In each scan, the increment is processed first and the results obtained are used to guide the mining of the original database. An important point to note about the FUP algorithm is that it requires k passes over the entire databse, where k is the cardinality of the longest frequent itemset. Further, it does not generate the mining results for solely the increment. 2.5 Frequent Pattern Mining with Vertical Data Format Most of the algorithms discussed earlier generate frequent itemsets from a set of transactions in horizontal data format (i.e., {TID: itemset}), where TID is a transaction- id and itemset is the set of items contained in transaction TID. Alternatively, mining can also be performed with data presented in vertical data format (i.e., {item: TID_set}). Algorithms which use vertical data format are MAXECLAT, CLIQUE, MAXCLIQUE, TOP-DOWN but ECLAT remained the best known. Few algorithms that supports vertical data format are: 2.5.1 MaxClique: While the above mentioned algorithms were primarily horizontal (tuple) based approaches, the MaxClique (Zaki et al., 1997) algorithm is designed to efficiently mine databases that are available in a vertical layout. 2.5.2Eclat(Echivalence Class Clustering and Bottom-up Lattice Traversal): [16] It is the first algorithm that uses a vertical data (inverted) layout. ECLAT is very efficient for large itemsets but less efficient for small ones. The frequent itemsets are determined using simple tid-list intersections in a depth-first graph. Zaki (2000) proposed Equivalence CLASS Transformation (Eclat) algorithm by exploring the vertical data format. The first scan of the database builds the TID_set of each single item. Starting with a single item (k = 1), the frequent (k+1)-itemsets grown from a previous k-itemset are generated by Apriori property, with a depth-first computation order similar to FP-growth (Han et al., 2004). The computation is done by intersection of the TID_sets of the frequent k-itemsets to compute the TID_sets of the corresponding (k+1)-itemsets. This process repeats, until no frequent itemsets or no candidate itemsets can be found. 2.5.3VIPER: Unlike earlier vertical mining algorithms which were subject to various restrictions on the underlying database size, shape, contents or the mining process, the viper (Shenoy et al., 2000) algorithm does not have any such restrictions. It includes many optimizations to enable efficient processing and was shown to outperform earlier vertical mining algorithms. 1675 International Journal of Engineering Research & Technology (IJERT) Vol. 2 Issue 4, April - 2013 ISSN: 2278-0181 www.ijert.org I J E R T I J E R T
  • 6. 3. Comparison of algorithms The comparison of various algorithms is based upon several metrics. Space requirements can be estimated by looking at the maximum number of candidates being counted during any scan of the database. We can estimate the time requirements by counting the maximum number of database scans needed and the maximum number of comparison operations. Comparison of various algorithms is: 4. Challenging Issues in FP-Mining: The main research issues with regard to frequent pattern mining are:  A lot of attention was focused on the performance and scalability of the algorithms, but not enough attention was given to the issues related to ease, flexibility and reusability for generating frequent patterns.  Most of the algorithms for discovering frequent patterns available in the literature require multiple passes over the database resulting in a large number of disk reads and placing a huge burden on the I/O subsystem. This calls for the introduction of mining algorithms that offers single database scan.  Various algorithms are available that can help reveal patterns and relationships, but they does not tell the user the value or significance of these patterns.  Most of the algorithms available in the literature do not offer flexibility for testing the validity of Meta rules.  There is a requirement for the development of parallel and/or distributed algorithms in order to speed up the computation activity  Most of the algorithms available in the literature for mining frequent itemsets do not offer flexibility for reusing the computation during mining process.  Much research is still needed to substantially reduce the size of derived patterns and enhance the quality of retained patterns (compact high quality pattern set). Conclusion Data mining has importance regarding finding the patterns, forecasting, discovery of knowledge etc., in different business domains.In this paper, we presented a brief overview of the status of frequent pattern mining algorithms. Over a decade there have been a extensive research, many publications, development and application activities in this domain. It is impossible to give a overall developments on this topic with limited space. Hopefully, this short overview may provide a rough outline to the people a general view of the field. References [ 1] Ashok Savasere, Edward Omiecinski, Shamkant Navathe,” An efficient algorithm for mining association rules in large databases” proc. The21stVLDBConference,1995. [2] ChristianBorgelt, “Keeping Things Simple: Finding Frequent ItemSets by Recursive Elimination “, Workshop Open Source Data Mining Software (OSDM'05, Chicago,IL), in 2005. [3] Chuang, K., Chen, M., Yang, W., “Progressive Sampling for Association Rules Based on Sampling Error Estimation”, Lecture Notes in Computer Science, Volume 3518, Jun 2005, Pages 505 – 515. [4] David W. Cheung , Jiawei Han , Vincent T. Ng , C. Y. Wong “Maintenance of Discovered Association Rules in Large Databases: An Incremental Updating Technique “, 1996. [5] David Wai-Lok Cheung, Jiawei Han, Vincent Ng, Ada Wai-Chee Fu, and Yongjian Fu, A Fast Distributed Algorithm for Mining Association Rules, Proceedings of PDIS, 1996. 1676 International Journal of Engineering Research & Technology (IJERT) Vol. 2 Issue 4, April - 2013 ISSN: 2278-0181 www.ijert.org I J E R T I J E R T
  • 7. [6] DougBurdick,ManuelCalimlim,JohannesGehrke, ”MAFIA: A maximal frequent itemset algorithm for transactional databases”, Proceedings of the 17th International Conference on Data Engineering, Heidelberg, Germany, in 2001. [7] Eui-Hong Han, George Karypis, and Vipin Kumar, Scalable Parallel Data Mining For Association Rules, Proceedings of the ACM SIGMOD Conference, pp. 277-288, 1997. [8] Hannu Toivonen , “Sampling Large databases for association rules approach”proc. of the 22nd VLDB conference Mumbai, India, 1996. [9] Han, J. and Pei, J., “Mining frequent patterns by pattern-growth: methodology and implications”, ACM SIGKDD Explorations Newsletter 2, 2, 14-20, in 2000. [10] Hidber , “online association rule mining”, 1999. [11] J.S.Park,M. Chen, P.S. Yu., “An effective hash based algorithm for mining association rules” proc. ACM SIGMOD International Conference on Management of Data, 1995. [12]JiaweiHan,JianPei,YiwenYin,“MiningFrequentP atterns without Candidate Generation”, Proc. of ACM SIGMOD International Conference on Management of Data, Dallas, Texas, USA, May 16- 18, 2000. [13] Jong Soo Park, Ming-Syan Chen, and PhilipS. Yu, Efficient Parallel Data Mining for Association Rules, Proceedings of the International Conference on Information and Knowledge Management, pp. 31- 36, Baltimore, Maryland, 22-25 May 1995. [14] Jian Pei, Jiawei Han Lu, Shojiro Nishio, Shiwei Tang, Dongqing Yang, “H-Mine: Hyper-Structure Mining of Frequent Patterns in Large Databases”, IEEE International Conference on Data Mining, 2001. [15] Lilian Harada, Naoki Akaboshi, Kazutaka Ogihara, and Riichiro Take, Dynamic Skew Handling in Parallel Mining of Association Rules, Proceedings of the 7th International Conference on Information and Knowledge Management, pp.76-85, Bethesda, Maryland, USA, 1998. [16]Mohammed Javeed Zaki, Srinivasan Parthasarathy, Mitsunori Ogihara, Wei Li, “New Algorithms for Fast Discovery of Assoctiation Rules”, proc.of the 3rd International Conference on Knowledge Discovery and Data Mining, 1997. [17] Maurice Houtsma, Arun Swami, ”Set-oriented mining for association rules in relational databases”, proc. Of the11th International Conference on Data Engineering, 1995. [18] Mohammed Javeed Zaki, Mitsunori Ogihara, Srinivasan Parthasarathy, and Wei Li, “Parallel Data Mining for Association Rules on Shared-Memory Multiprocessors”, Technical Report TR 618, University of Rochester, Computer Science Department, May 1996. [19]Parthasarathy, S., “Efficient Progressive Sampling for Association Rules”, ICDM 2002:354- 361 [20] Rakesh Agrawal, Tomasz Imielinski, Arun Swami , “Mining association rules between sets of items in large databases”, Proceedings of the ACM SIGMOD Conference on Management of Data, Washington, D.C. [21] RakeshAgrawal and RamakrishnanSrikant, “ Fast algorithms for mining association rules”, Proceedings of 20th International Conference on Very Large Data Bases, Santiago deChile,Chile, September 12-15, 1994. [22] [Agrawal1996] Rakesh Agrawal and John C. Shafer, Parallel Mining of Association Rules, IEEE Transactions on Knowledge and Data Engineering, Vol. 8, No. 6, pp. 962-969, December 1996. [23] S.Brin, R. Motwani, S. Tsur, “Dynamic itemset counting and implication rules for market basket data”,1997. [24] Sunita Sarawagi , Shiby Thomas , Rakesh Agrawal , “integrating mining with relational database systems”, in sigmoid,1998. [25] Takahiko Shintani and Masaru Kitsuregawa, Hash Based Parallel Algorithms for Mining Association Rules, Proceedings of PDIS, 1996. [26] Tien Dung Do, Siu Cheung Hui, Alvis Fong, “Mining Frequent Itemsets with Category-Based Constraints”, Lecture Notes in Computer Science, Volume 2843, 2003, pp. 76 – 86. [27] Wojciechowski, M., Zakrzewicz, M., “Dataset Filtering Techniques in Constraint-Based Frequent Pattern Mining”, Lecture Notes in Computer Science, Volume 2447, 2002, pp.77-83 [28] Y. Bastide, R. Taouil, N. Pasquier, G. Stumme, L. Lakhal , ”Mining Frequent Patterns with Counting Inference” ACM SIGKDD Explorations Newsletter, in 2000. 1677 International Journal of Engineering Research & Technology (IJERT) Vol. 2 Issue 4, April - 2013 ISSN: 2278-0181 www.ijert.org I J E R T I J E R T