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**Graduate : Sheng-Hsuan Wang**

CLOPE: a Fast and Effective Clustering Algorithm for Transactional Data Advisor : Dr. Hsu Graduate : Sheng-Hsuan Wang Author : Yiling Yang Xudong Guan Jinyuan You

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**Outline Motivation Objective Introduction Clustering With sLOPE**

Implementation Experiments Conclusions Personal opinion

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Motivation This paper studies the problem of categorical data clustering, especially for transactional data characterized by high dimensionality and large volume.

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Objective To present a fast and efficient clustering algorithm CLOPE for transactional data.

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**Introduction Clustering is an important data mining technique.**

Objective : to group data into sets Intra-cluster similarity is maximized Inter-cluster similarity is minimized The basic idea behind CLOPE Uses global criterion function that tries to increase the intra-cluster overlapping of transaction items by increasing the height-to-width ratio of the cluster histogram. A parameter to control the tightness of the cluster.

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Introduction

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Clustering With SLOPE The Criterion function can be defined locally or globally. Locally The criterion function is built on the pair-wise similarity between transactions. Globally Clustering quality is measured in the cluster level,utilizing information like the sets of large and small items in the clustering.

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Clustering With SLOPE We define the size S(C) and width W(C) of a cluster C below: The height of a cluster is defined as We use gradient instead of H(C) as the quality measure for cluster C.

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Clustering With SLOPE

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Clustering With SLOPE Here, r is a positive real number called repulsion, used to control the level of intra-cluster similarity.

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**Clustering With SLOPE Problem definition**

Given D and r, find a clustering C that maximize The sketch of the CLOPE algorithm.

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**Implementation RAM data structure Remark The computation of profit**

We keep only the current transaction and A small amount of information for each cluster.The information, called cluster features. Remark The total memory required for item occurrences is approximately M*K*4 bytes using array of 4-byte integers. The computation of profit Computing the delta value of adding t to C.

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Implementation

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**Implementation The time and space complexity**

Suppose the average length of a transaction is A. The total number of transactions is N. The maximum number of clusters is K. The time complexity for one iteration is O( ). The space requirement for CLOPE is approximately the memory size of the cluster features.

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Experiments We analyze the effectiveness and execution speed of CLOPE with two real-life datasets. For effectiveness, we compare the clustering quality of CLOPE on a labeled dataset with those of LargeItem and ROCK. For execution speed, we compare CLOPE with LargeItem on a large web log dataset.

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**Mushroom Mushroom dataset (real-life)**

The mushroom dataset from the UCI machine learning repository has been used by both ROCK and LargeItem for effectiveness tests. It contains 8124 records with two classes,4208 edible mushrooms and 3916 poisonous mushrooms.

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Mushroom

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Mushroom

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Mushroom The result of CLOPE on mushroom is better than that of LargeItem and close to that of ROCK. Sensitivity to data order The results are different but very close to the original ones. It shows that CLOPE is not very sensitive to the order of input data.

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Berkeley web logs Web log data is another typical category of transactional databases. The web log files from as the dataset for our second experiment and test the scalability as well as performance of CLOPE. There are about 7 million entries in the raw log file and 2 million of them are kept after non-html entries removed.

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Conclusions The CLOPE algorithm is proposed based on the intuitive idea of increasing the height-to-width ratio of the cluster histogram. The idea is generalized with a repulsion parameter that controls tightness of transactions in a cluster. Experiments show that CLOPE is quite effective in finding interesting clusterings. Moreover,CLOPE is not very sensitive to data order and requires little domain knowledge in controlling the number of clusters.

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Personal Opinion The idea behind CLOPE is very simple, can help beginner easy to learning.

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