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IJSRD - International Journal for Scientific Research & Development| Vol. 1, Issue 5, 2013 | ISSN (online): 2321-0613
All rights reserved by www.ijsrd.com 1272
Abstract— In this paper, we present an overview of existing
frequent item set mining algorithms. All these algorithms
are described more or less on their own. Frequent item set
mining is a very popular and computationally expensive
task. We also explain the fundamentals of frequent item set
mining. We describe today’s approaches for frequent item
set mining. From the broad variety of efficient algorithms
that have been developed we will compare the most
important ones. We will systematize the algorithms and
analyse their performance based on both their run time
performance and theoretical considerations. Their strengths
and weaknesses are also investigated. It turns out that the
behaviour of the algorithms is much more similar as to be
expected.
Keywords: Data Mining, Frequent Itemset, Broglet’s FP-
Growth, SaM Algorithm
I. INTRODUCTION
In recent years the size of database has increased rapidly.
This has led to a growing interest in the development of
tools capable in the automatic extraction of knowledge from
data. The term data mining or knowledge discovery in
database has been adopted for a field of research dealing
with the automatic discovery of implicit information or
knowledge within the databases. The implicit information
within databases, mainly the interesting association
relationships among sets of objects that lead to association
rules may disclose useful patterns for decision support,
financial forecast, marketing policies, even medical
diagnosis and many other applications.
The problem of mining frequent itemsets arose first as a sub
problem of mining association rules [9]. Frequent itemsets
play an essential role in many data mining tasks that try to
find interesting patterns from databases such as association
rules, correlations, sequences, classifiers, clusters and many
more of which the mining of association rules is one of the
most popular problems. The original motivation for
searching association rules came from the need to analyse so
called supermarket transaction data, that is, to examine
customer behaviour in terms of the purchased products.
Association rules describe how often items are purchased
together. For example, an association rule “beer, chips
(80%)” states that four out of five customers that bought
beer also bought chips. Such rules can be useful for
decisions concerning product pricing, promotions, store
layout and many others.
II. LITERATURE SURVEY
A. FP-Growth Algorithm
The most popular frequent itemset mining called the FP-
Growth algorithm was introduced by [5]. The main aim of
this algorithm was to remove the bottlenecks of the Apriori-
Algorithm in generating and testing candidate set. The
problem of Apriori algorithm was dealt with, by introducing
a novel, compact data structure, called frequent pattern tree,
or FP-tree then based on this structure an FP-tree-based
pattern fragment growth method was developed. FP-growth
uses a combination of the vertical and horizontal database
layout to store the database in main memory. Instead of
storing the cover for every item in the database, it stores the
actual transactions from the database in a tree structure and
every item has a linked list going through all transactions
that contain that item. This new data structure is denoted by
FP-tree (Frequent-Pattern tree) [4]. Essentially, all
transactions are stored in a tree data structure.
B. Broglet’s FP-Growth
Broglet implemented an efficient FP-Growth [1] algorithm
using C Language. The FP-growth in his implementation
pre-processes the transaction database according to [1] is as
follows:
1. In an initial scan the frequencies of the items (support of
single element item sets) are determined. 2. All infrequent
items, that is, all items that appear in fewer transactions than
a user-specified minimum number are discarded from the
transactions, since, obviously, they can never be part of a
frequent item set. 3. The items in each transaction are sorted,
so that they are in descending order with respect to their
frequency in the database.
Eclat
Eclat [11, 8, and 3] algorithm is basically a depth-first
search algorithm using set intersection. It uses a vertical
database layout i.e. instead of explicitly listing all
transactions; each item is stored together with its cover (also
called tidlist) and uses the intersection based approach to
compute the support of an itemset. In this way, the support
of an itemset X can be easily computed by simply
intersecting the covers of any two subsets Y, Z ⊆ X, such
that Y U Z = X. It states that, when the database is stored in
the vertical layout, the support of a set can be counted much
easier by simply intersecting the covers of two of its subsets
that together give the set itself.
C. SaM Algorithm
The SaM (Split and Merge) algorithm established by [10] is
a simplification of the already fairly simple RElim
(Recursive Elimination) algorithm. While RElim represents
a (conditional) database by storing one transaction list for
each item (partially vertical representation), the split and
merge algorithm employs only a single transaction list
(purely horizontal representation), stored as an array.
This array is processed with a simple split and merge
scheme,
Literature Survey of modern frequent item set mining methods
Mohammad Mudassar Khan1
Prof. Anand Rajavat2
1,2
Shri Vaishnav Institute of Technology & Science Indore, India
Literature Survey of modern frequent item set mining methods
(IJSRD/Vol. 1/Issue 5/2013/0057)
All rights reserved by www.ijsrd.com 1273
Which computes a conditional database, processes this
conditional database recursively, and finally eliminates the
split item from the original (conditional) database
III. CONCLUSION
In this paper, we surveyed the list of existing frequent item
set mining techniques. We restricted ourselves to the classic
frequent item set mining problem. It is the generation of all
frequent item sets that exists in market basket like data with
respect to minimal thresholds for support & confidence.
In a forthcoming paper, we pursue the development of a
novel algorithm that efficiently mines frequent patterns from
a market basket or any other data set.
REFERENCES
[1] C. Borgelt. An Implementation of the FP- growth
Algorithm. Proc. Workshop Open Software for Data
Mining.(OSDM’05 at KDD’05, Chicago,IL),1–
5.ACMPress, New York, NY, USA 2005.
[2] C.Borgelt. Keeping Things Simple: Finding Frequent
Item Sets by Recursive Elimination. Proc. Workshop
Open Software for Data Mining (OSDM’05 at
KDD’05, Chicago, IL), 66– 70. ACM Press, New
York, NY, USA 2005.
[3] C.Borgelt. Efficient Implementations of Apriori and
Eclat. Proc. 1st IEEE ICDM Workshop on Frequent
Item Set Mining Implementations (FIMI 2003,
Melbourne, FL). CEUR Workshop Proceedings 90,
Aachen, Germany 2003.
[4] J. Han, J. Pei, Y. Yin, and R. Mao. Mining frequent
patterns without candidate generation: A frequent-
pattern tree approach. Data Mining and Knowledge
Discovery, 2003.
[5] J. Han, H. Pei, and Y. Yin. Mining Frequent Patterns
without Candidate Generation. In: Proc. Conf. on the
Management of Data (SIGMOD’00, Dallas, TX).
ACM Press, New York, NY, USA 2000.
[6] R. Agrawal, H. Mannila, R. Srikant, H. Toivonen,
and A.I. Verkamo. Fast discovery of association
rules. In U.M. Fayyad, G. Piatetsky-Shapiro, P.
Smyth, and R. Uthurusamy, editors, Advances in
Knowledge Discovery and Data Mining, pages 307–
328. MIT Press, 1996.
[7] C.L. Blake and C.J. Merz. UCI Repository of
Machine Learning Databases. Dept. of Information
and Computer Science, University of California at
Irvine, CA, USA1998
http://www.ics.uci.edu/˜mlearn/MLRepository.html-
1998.
[8] M. Zaki, S. Parthasarathy, M. Ogihara, and W. Li.
NewAlgorithms for Fast Discovery of Association
Rules. Proc. 3rd Int. Conf. on Knowledge Discovery
and Data Mining (KDD’97), 283–296. AAAI Press,
Menlo Park, CA, USA 1997.
[9] R. Agrawal, T. Imielienski, and A. Swami. Mining
Association Rules between Sets of Items in Large
Databases. Proc. Conf. on Management of Data, 207–
216. ACM Press, New York, NY, USA 1993.
[10] C. Borgelt. SaM: Simple Algorithms for Frequent
Item Set Mining. IFSA/EUSFLAT 2009 conference-
2009.
[11] J. Han, and M. Kamber, 2000. Data Mining Concepts
and Techniques. Morgan Kanufmann.

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Literature Survey of modern frequent item set mining methods

  • 1. IJSRD - International Journal for Scientific Research & Development| Vol. 1, Issue 5, 2013 | ISSN (online): 2321-0613 All rights reserved by www.ijsrd.com 1272 Abstract— In this paper, we present an overview of existing frequent item set mining algorithms. All these algorithms are described more or less on their own. Frequent item set mining is a very popular and computationally expensive task. We also explain the fundamentals of frequent item set mining. We describe today’s approaches for frequent item set mining. From the broad variety of efficient algorithms that have been developed we will compare the most important ones. We will systematize the algorithms and analyse their performance based on both their run time performance and theoretical considerations. Their strengths and weaknesses are also investigated. It turns out that the behaviour of the algorithms is much more similar as to be expected. Keywords: Data Mining, Frequent Itemset, Broglet’s FP- Growth, SaM Algorithm I. INTRODUCTION In recent years the size of database has increased rapidly. This has led to a growing interest in the development of tools capable in the automatic extraction of knowledge from data. The term data mining or knowledge discovery in database has been adopted for a field of research dealing with the automatic discovery of implicit information or knowledge within the databases. The implicit information within databases, mainly the interesting association relationships among sets of objects that lead to association rules may disclose useful patterns for decision support, financial forecast, marketing policies, even medical diagnosis and many other applications. The problem of mining frequent itemsets arose first as a sub problem of mining association rules [9]. Frequent itemsets play an essential role in many data mining tasks that try to find interesting patterns from databases such as association rules, correlations, sequences, classifiers, clusters and many more of which the mining of association rules is one of the most popular problems. The original motivation for searching association rules came from the need to analyse so called supermarket transaction data, that is, to examine customer behaviour in terms of the purchased products. Association rules describe how often items are purchased together. For example, an association rule “beer, chips (80%)” states that four out of five customers that bought beer also bought chips. Such rules can be useful for decisions concerning product pricing, promotions, store layout and many others. II. LITERATURE SURVEY A. FP-Growth Algorithm The most popular frequent itemset mining called the FP- Growth algorithm was introduced by [5]. The main aim of this algorithm was to remove the bottlenecks of the Apriori- Algorithm in generating and testing candidate set. The problem of Apriori algorithm was dealt with, by introducing a novel, compact data structure, called frequent pattern tree, or FP-tree then based on this structure an FP-tree-based pattern fragment growth method was developed. FP-growth uses a combination of the vertical and horizontal database layout to store the database in main memory. Instead of storing the cover for every item in the database, it stores the actual transactions from the database in a tree structure and every item has a linked list going through all transactions that contain that item. This new data structure is denoted by FP-tree (Frequent-Pattern tree) [4]. Essentially, all transactions are stored in a tree data structure. B. Broglet’s FP-Growth Broglet implemented an efficient FP-Growth [1] algorithm using C Language. The FP-growth in his implementation pre-processes the transaction database according to [1] is as follows: 1. In an initial scan the frequencies of the items (support of single element item sets) are determined. 2. All infrequent items, that is, all items that appear in fewer transactions than a user-specified minimum number are discarded from the transactions, since, obviously, they can never be part of a frequent item set. 3. The items in each transaction are sorted, so that they are in descending order with respect to their frequency in the database. Eclat Eclat [11, 8, and 3] algorithm is basically a depth-first search algorithm using set intersection. It uses a vertical database layout i.e. instead of explicitly listing all transactions; each item is stored together with its cover (also called tidlist) and uses the intersection based approach to compute the support of an itemset. In this way, the support of an itemset X can be easily computed by simply intersecting the covers of any two subsets Y, Z ⊆ X, such that Y U Z = X. It states that, when the database is stored in the vertical layout, the support of a set can be counted much easier by simply intersecting the covers of two of its subsets that together give the set itself. C. SaM Algorithm The SaM (Split and Merge) algorithm established by [10] is a simplification of the already fairly simple RElim (Recursive Elimination) algorithm. While RElim represents a (conditional) database by storing one transaction list for each item (partially vertical representation), the split and merge algorithm employs only a single transaction list (purely horizontal representation), stored as an array. This array is processed with a simple split and merge scheme, Literature Survey of modern frequent item set mining methods Mohammad Mudassar Khan1 Prof. Anand Rajavat2 1,2 Shri Vaishnav Institute of Technology & Science Indore, India
  • 2. Literature Survey of modern frequent item set mining methods (IJSRD/Vol. 1/Issue 5/2013/0057) All rights reserved by www.ijsrd.com 1273 Which computes a conditional database, processes this conditional database recursively, and finally eliminates the split item from the original (conditional) database III. CONCLUSION In this paper, we surveyed the list of existing frequent item set mining techniques. We restricted ourselves to the classic frequent item set mining problem. It is the generation of all frequent item sets that exists in market basket like data with respect to minimal thresholds for support & confidence. In a forthcoming paper, we pursue the development of a novel algorithm that efficiently mines frequent patterns from a market basket or any other data set. REFERENCES [1] C. Borgelt. An Implementation of the FP- growth Algorithm. Proc. Workshop Open Software for Data Mining.(OSDM’05 at KDD’05, Chicago,IL),1– 5.ACMPress, New York, NY, USA 2005. [2] C.Borgelt. Keeping Things Simple: Finding Frequent Item Sets by Recursive Elimination. Proc. Workshop Open Software for Data Mining (OSDM’05 at KDD’05, Chicago, IL), 66– 70. ACM Press, New York, NY, USA 2005. [3] C.Borgelt. Efficient Implementations of Apriori and Eclat. Proc. 1st IEEE ICDM Workshop on Frequent Item Set Mining Implementations (FIMI 2003, Melbourne, FL). CEUR Workshop Proceedings 90, Aachen, Germany 2003. [4] J. Han, J. Pei, Y. Yin, and R. Mao. Mining frequent patterns without candidate generation: A frequent- pattern tree approach. Data Mining and Knowledge Discovery, 2003. [5] J. Han, H. Pei, and Y. Yin. Mining Frequent Patterns without Candidate Generation. In: Proc. Conf. on the Management of Data (SIGMOD’00, Dallas, TX). ACM Press, New York, NY, USA 2000. [6] R. Agrawal, H. Mannila, R. Srikant, H. Toivonen, and A.I. Verkamo. Fast discovery of association rules. In U.M. Fayyad, G. Piatetsky-Shapiro, P. Smyth, and R. Uthurusamy, editors, Advances in Knowledge Discovery and Data Mining, pages 307– 328. MIT Press, 1996. [7] C.L. Blake and C.J. Merz. UCI Repository of Machine Learning Databases. Dept. of Information and Computer Science, University of California at Irvine, CA, USA1998 http://www.ics.uci.edu/˜mlearn/MLRepository.html- 1998. [8] M. Zaki, S. Parthasarathy, M. Ogihara, and W. Li. NewAlgorithms for Fast Discovery of Association Rules. Proc. 3rd Int. Conf. on Knowledge Discovery and Data Mining (KDD’97), 283–296. AAAI Press, Menlo Park, CA, USA 1997. [9] R. Agrawal, T. Imielienski, and A. Swami. Mining Association Rules between Sets of Items in Large Databases. Proc. Conf. on Management of Data, 207– 216. ACM Press, New York, NY, USA 1993. [10] C. Borgelt. SaM: Simple Algorithms for Frequent Item Set Mining. IFSA/EUSFLAT 2009 conference- 2009. [11] J. Han, and M. Kamber, 2000. Data Mining Concepts and Techniques. Morgan Kanufmann.