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Data Mining, Data Warehousing and Knowledge

DiscoveryBasic Algorithms and Concepts

- Srinath Srinivasa
- IIIT Bangalore
- sri_at_iiitb.ac.in

Overview

- Why Data Mining?
- Data Mining concepts
- Data Mining algorithms
- Tabular data mining
- Association, Classification and Clustering
- Sequence data mining
- Streaming data mining
- Data Warehousing concepts

Why Data Mining

From a managerial perspective

Analyzing trends

Wealth generation

Security

Strategic decision making

Data Mining

- Look for hidden patterns and trends in data that

is not immediately apparent from summarizing the

data - No Query
- But an Interestingness criteria

Data Mining

Interestingness criteria

Hidden patterns

Data

Data Mining

Type of Patterns

Interestingness criteria

Hidden patterns

Data

Data Mining

Type of data

Type of Interestingness criteria

Interestingness criteria

Hidden patterns

Data

Type of Data

- Tabular (Ex Transaction data)
- Relational
- Multi-dimensional
- Spatial (Ex Remote sensing

data) - Temporal (Ex Log information)
- Streaming (Ex multimedia, network

traffic) - Spatio-temporal (Ex GIS)
- Tree (Ex XML data)
- Graphs (Ex WWW,

BioMolecular data) - Sequence (Ex DNA, activity

logs) - Text, Multimedia

Type of Interestingness

- Frequency
- Rarity
- Correlation
- Length of occurrence (for sequence and temporal

data) - Consistency
- Repeating / periodicity
- Abnormal behavior
- Other patterns of interestingness

Data Mining vs Statistical Inference

Statistics

Statistical Reasoning

Conceptual Model (Hypothesis)

Proof (Validation of Hypothesis)

Data Mining vs Statistical Inference

Data mining

Mining Algorithm Based on Interestingness

Data

Pattern (model, rule, hypothesis) discovery

Data Mining Concepts

Associations and Item-sets An association is a

rule of the form if X then Y. It is denoted as

X ? Y Example If India wins in cricket, sales

of sweets go up. For any rule if X ? Y ? Y ?

X, then X and Y are called an interesting

item-set. Example People buying school

uniforms in June also buy school bags (People

buying school bags in June also buy school

uniforms)

Data Mining Concepts

Support and Confidence The support for a rule

R is the ratio of the number of occurrences of

R, given all occurrences of all rules. The

confidence of a rule X ? Y, is the ratio of the

number of occurrences of Y given X, among all

other occurrences given X.

Data Mining Concepts

Support and Confidence

Support for Bag, Uniform 5/10 0.5

Confidence for Bag ? Uniform 5/8 0.625

Bag Books Bag Bag Uniform Bag Crayons Books Unifor

m Pencil

Uniform Bag Uniform Pencil Crayons Pencil Uniform

Crayons Crayons Uniform

Crayons Uniform Pencil Book Bag Book Bag Bag Penci

l Books

Mining for Frequent Item-sets

- The Apriori Algorithm
- Given minimum required support s as

interestingness criterion - Search for all individual elements (1-element

item-set) that have a minimum support of s - Repeat
- From the results of the previous search for

i-element item-sets, search for all i1 element

item-sets that have a minimum support of s - This becomes the set of all frequent

(i1)-element item-sets that are interesting - Until item-set size reaches maximum..

Mining for Frequent Item-sets

The Apriori Algorithm (Example)

Let minimum support 0.3 Interesting 1-element

item-sets Bag, Uniform, Crayons,

Pencil, Books Interesting 2-element

item-sets Bag,Uniform Bag,Crayons

Bag,Pencil Bag,Books Uniform,Crayons

Uniform,Pencil Pencil,Books

Bag Books Bag Bag Uniform Bag Crayons Books Unifor

m Pencil

Uniform Bag Uniform Pencil Crayons Pencil Uniform

Crayons Crayons Uniform

Crayons Uniform Pencil Books Bag Books Bag Bag Pen

cil Books

Mining for Frequent Item-sets

The Apriori Algorithm (Example)

Let minimum support 0.3 Interesting 3-element

item-sets Bag,Uniform,Crayons

Bag Books Bag Bag Uniform Bag Crayons Books Unifor

m Pencil

Uniform Bag Uniform Pencil Crayons Pencil Uniform

Crayons Crayons Uniform

Crayons Uniform Pencil Books Bag Books Bag Bag Pen

cil Books

Mining for Association Rules

Association rules are of the form A ? B Which

are directional Association rule mining

requires two thresholds minsup and minconf

Bag Books Bag Bag Uniform Bag Crayons Books Unifor

m Pencil

Uniform Bag Uniform Pencil Crayons Pencil Uniform

Crayons Crayons Uniform

Crayons Uniform Pencil Books Bag Books Bag Bag Pen

cil Books

Mining for Association Rules

Mining association rules using apriori

- General Procedure
- Use apriori to generate frequent itemsets of

different sizes - At each iteration divide each frequent itemset X

into two parts LHS and RHS. This represents a

rule of the form LHS ? RHS - The confidence of such a rule is

support(X)/support(LHS) - Discard all rules whose confidence is less than

minconf.

Bag Books Bag Bag Uniform Bag Crayons Books Unifor

m Pencil

Uniform Bag Uniform Pencil Crayons Pencil Uniform

Crayons Crayons Uniform

Crayons Uniform Pencil Books Bag Books Bag Bag Pen

cil Books

Mining for Association Rules

Mining association rules using apriori

Example The frequent itemset Bag, Uniform,

Crayons has a support of 0.3. This can be

divided into the following rules Bag ?

Uniform, Crayons Bag, Uniform ? Crayons

Bag, Crayons ? Uniform Uniform ? Bag,

Crayons Uniform, Crayons ? Bag Crayons ?

Bag, Uniform

Bag Books Bag Bag Uniform Bag Crayons Books Unifor

m Pencil

Uniform Bag Uniform Pencil Crayons Pencil Uniform

Crayons Crayons Uniform

Crayons Uniform Pencil Books Bag Books Bag Bag Pen

cil Books

Mining for Association Rules

Mining association rules using apriori

Confidence for these rules are as follows Bag

? Uniform, Crayons 0.375 Bag, Uniform ?

Crayons 0.6 Bag, Crayons ? Uniform

0.75 Uniform ? Bag, Crayons 0.428

Uniform, Crayons ? Bag 0.75 Crayons ?

Bag, Uniform 0.75

Bag Books Bag Bag Uniform Bag Crayons Books Unifor

m Pencil

Uniform Bag Uniform Pencil Crayons Pencil Uniform

Crayons Crayons Uniform

Crayons Uniform Pencil Books Bag Books Bag Bag Pen

cil Books

If minconf is 0.7, then we have discovered the

following rules

Mining for Association Rules

Mining association rules using apriori

People who buy a school bag and a set of crayons

are likely to buy school uniform. People who

buy school uniform and a set of crayons are

likely to buy a school bag. People who buy just

a set of crayons are likely to buy a school bag

and school uniform as well.

Bag Books Bag Bag Uniform Bag Crayons Books Unifor

m Pencil

Uniform Bag Uniform Pencil Crayons Pencil Uniform

Crayons Crayons Uniform

Crayons Uniform Pencil Books Bag Books Bag Bag Pen

cil Books

Generalized Association Rules

Since customers can buy any number of items in

one transaction, the transaction relation would

be in the form of a list of individual

purchases.

Bill No. Date Item

15563 23.10.2003 Books

15563 23.10.2003 Crayons

15564 23.10.2003 Uniform

15564 23.10.2003 Crayons

Generalized Association Rules

A transaction for the purposes of data mining is

obtained by performing a GROUP BY of the table

over various fields.

Bill No. Date Item

15563 23.10.2003 Books

15563 23.10.2003 Crayons

15564 23.10.2003 Uniform

15564 23.10.2003 Crayons

Generalized Association Rules

A GROUP BY over Bill No. would show frequent

buying patterns across different customers. A

GROUP BY over Date would show frequent buying

patterns across different days.

Bill No. Date Item

15563 23.10.2003 Books

15563 23.10.2003 Crayons

15564 23.10.2003 Uniform

15564 23.10.2003 Crayons

Classification and Clustering

Given a set of data elements Classification

maps each data element to one of a set of

pre-determined classes based on the difference

among data elements belonging to different

classes Clustering groups data elements into

different groups based on the similarity between

elements within a single group

Classification Techniques

Decision Tree Identification

Outlook Temp Play?

Sunny 30 Yes

Overcast 15 No

Sunny 16 Yes

Cloudy 27 Yes

Overcast 25 Yes

Overcast 17 No

Cloudy 17 No

Cloudy 35 Yes

Classification problem Weather ?

Play(Yes,No)

Classification Techniques

- Hunts method for decision tree identification
- Given N element types and m decision classes
- For i ? 1 to N do
- Add element i to the i-1 element item-sets from

the previous iteration - Identify the set of decision classes for each

item-set - If an item-set has only one decision class, then

that item-set is done, remove that item-set from

subsequent iterations - done

Classification Techniques

Decision Tree Identification Example

Outlook Temp Play?

Sunny Warm Yes

Overcast Chilly No

Sunny Chilly Yes

Cloudy Pleasant Yes

Overcast Pleasant Yes

Overcast Chilly No

Cloudy Chilly No

Cloudy Warm Yes

Sunny

Yes

Cloudy

Yes/No

Overcast

Yes/No

Classification Techniques

Decision Tree Identification Example

Outlook Temp Play?

Sunny Warm Yes

Overcast Chilly No

Sunny Chilly Yes

Cloudy Pleasant Yes

Overcast Pleasant Yes

Overcast Chilly No

Cloudy Chilly No

Cloudy Warm Yes

Sunny

Yes

Cloudy

Yes/No

Overcast

Yes/No

Classification Techniques

Decision Tree Identification Example

Outlook Temp Play?

Sunny Warm Yes

Overcast Chilly No

Sunny Chilly Yes

Cloudy Pleasant Yes

Overcast Pleasant Yes

Overcast Chilly No

Cloudy Chilly No

Cloudy Warm Yes

Cloudy Warm

Yes

Cloudy Chilly

No

Cloudy Pleasant

Yes

Classification Techniques

Decision Tree Identification Example

Outlook Temp Play?

Sunny Warm Yes

Overcast Chilly No

Sunny Chilly Yes

Cloudy Pleasant Yes

Overcast Pleasant Yes

Overcast Chilly No

Cloudy Chilly No

Cloudy Warm Yes

Overcast Warm

Overcast Chilly

No

Overcast Pleasant

Yes

Classification Techniques

Decision Tree Identification Example

Yes/No

Overcast

Cloudy

Sunny

Yes/No

Yes

Yes/No

Pleasant

Chilly

Warm

Chilly

No

Pleasant

Yes

No

Yes

Yes

Classification Techniques

Decision Tree Identification Example

- Top down technique for decision tree

identification - Decision tree created is sensitive to the order

in which items are considered - If an N-item-set does not result in a clear

decision, classification classes have to be

modeled by rough sets.

Other Classification Algorithms

Quinlans depth-first strategy builds the

decision tree in a depth-first fashion, by

considering all possible tests that give a

decision and selecting the test that gives the

best information gain. It hence eliminates tests

that are inconclusive. SLIQ (Supervised

Learning in Quest) developed in the QUEST project

of IBM uses a top-down breadth-first strategy to

build a decision tree. At each level in the tree,

an entropy value of each node is calculated and

nodes having the lowest entropy values selected

and expanded.

Clustering Techniques

Clustering partitions the data set into clusters

or equivalence classes. Similarity among

members of a class more than similarity among

members across classes. Similarity measures

Euclidian distance or other application specific

measures.

Euclidian Distance for Tables

(Overcast,Chilly,Dont Play)

Overcast

(Cloudy,Pleasant,Play)

Cloudy

Dont Play

Play

Sunny

Warm

Pleasant

Chilly

Clustering Techniques

- General Strategy
- Draw a graph connecting items which are close to

one another with edges. - Partition the graph into maximally connected

subcomponents. - Construct an MST for the graph
- Merge items that are connected by the minimum

weight of the MST into a cluster

Clustering Techniques

Clustering types Hierarchical clustering

Clusters are formed at different levels by

merging clusters at a lower level Partitional

clustering Clusters are formed at only one level

Clustering Techniques

- Nearest Neighbour Clustering Algorithm
- Given n elements x1, x2, xn, and threshold t, .

- j ? 1, k ? 1, Clusters
- Repeat
- Find the nearest neighbour of xj
- Let the nearest neighbour be in cluster m
- If distance to nearest neighbour gt t, then create

a new cluster and k ? k1 else assign xj to

cluster m - j ? j1
- until j gt n

Clustering Techniques

- Iterative partitional clustering
- Given n elements x1, x2, xn, and k clusters,

each with a center. - Assign each element to its closest cluster center

- After all assignments have been made, compute the

cluster centroids for each of the cluster - Repeat the above two steps with the new centroids

until the algorithm converges

Mining Sequence Data

- Characteristics of Sequence Data
- Collection of data elements which are ordered

sequences - In a sequence, each item has an index associated

with it - A k-sequence is a sequence of length k. Support

for sequence j is the number of m-sequences

(mgtj) which contain j as a sequence - Sequence data transaction logs, DNA sequences,

patient ailment history,

Mining Sequence Data

- Some Definitions
- A sequence is a list of itemsets of finite

length. - Example
- pen,pencil,inkpencil,inkink,eraserruler,pe

ncil - the purchases of a single customer over time
- The order of items within an itemset does not

matter but the order of itemsets matter - A subsequence is a sequence with some itemsets

deleted

Mining Sequence Data

- Some Definitions
- A sequence S a1, a2, , am is said to be

contained within another sequence S, if S

contains a subsequence b1, b2, bm such that

a1 ? b1, a2 ? b2, , am ? bm. - Hence, penpencilruler,pencil is contained

in pen,pencil,inkpencil,inkink,eraserruler,

pencil

Mining Sequence Data

- Apriori Algorithm for Sequences
- L1 ? Set of all interesting 1-sequences
- k ? 1
- while Lk is not empty do
- Generate all candidate k1 sequences
- Lk1 ? Set of all interesting k1-sequences
- done

Mining Sequence Data

Generating Candidate Sequences Given L1, L2,

Lk, candidate sequences of Lk1 are generated as

follows For each sequence s in Lk, concatenate

s with all new 1-sequences found while generating

Lk-1

Mining Sequence Data

Example

minsup 0.5 a b c d e

Interesting 1-sequences b d a e

a a e b d b

b e d e a b d a

e a a a a b a a a

Candidate 2-sequences c b d b

aa, ab, ad, ae a b b a b

ba, bb, bd, be a b d e

da, db, dd, de

ea, eb, ed, ee

Mining Sequence Data

Example

minsup 0.5 a b c d e

Interesting 2-sequences b d a e

ab, bd a e b d

b e Candidate

2-sequences e a b d a aba,

abb, abd, abe, a a a a

aab, bab, dab, eab, b a a a

bda, bdb, bdd, bde,

c b d b bbd, dbd,

ebd. a b b a b a b d e

Interesting 3-sequences

Mining Sequence Data

Language Inference Given a set of sequences,

consider each sequence as the behavioural trace

of a machine, and infer the machine that can

display the given sequence as behavior.

aabb ababcac abbac

Input set of sequences

Output state machine

Mining Sequence Data

- Inferring the syntax of a language given its

sentences - Applications discerning behavioural patterns,

emergent properties discovery, collaboration

modeling, - State machine discovery is the reverse of state

machine construction - Discovery is maximalist in nature

Mining Sequence Data

Maximal nature of language inference abc

aabc aabbc abbc

a,b,c

Most general state machine

c

b

c

b

a

c

c

a

b

b

Most specific state machine

Mining Sequence Data

- Shortest-run Generalization (Srinivasa and

Spiliopoulou 2000) - Given a set of n sequences
- Create a state machine for the first sequence
- for j ? 2 to n do
- Create a state machine for the jth sequence
- Merge this sequence into the earlier sequence as

follows - Merge all halt states in the new state machine to

the halt state in the existing state machine - If two or more paths to the halt state share the

same suffix, merge the suffixes together into a

single path - Done

Mining Sequence Data

Shortest-run Generalization (Srinivasa and

Spiliopoulou 2000)

a

a

b

c

b

aabcb aac aabc

a

a

b

c

b

c

b

a

a

b

c

c

b

c

b

a

a

Mining Streaming Data

- Characteristics of streaming data
- Large data sequence
- No storage
- Often an infinite sequence
- Examples Stock market quotes, streaming

audio/video, network traffic

Mining Streaming Data

Running mean Let n number of items read so

far, avg running average calculated so

far, On reading the next number num

avg ? (navgnum) / (n1) n ? n1

Mining Streaming Data

Running variance var ?(num-avg)2

?num2 - 2?numavg ?avg2 Let A ?num2 of all

numbers read so far B 2?numavg of all

numbers read so far C ?avg2 of all

numbers read so far avg average of numbers

read so far n number of numbers read so

far

Mining Streaming Data

Running variance On reading next number num

avg ? (avgn num) / (n1) n ? n1 A ? A

num2 B ? B 2avgnum C ? C avg2 var A

B C

Mining Streaming Data

?-Consistency (Srinivasa and Spiliopoulou,

CoopIS 1999) Let streaming data be in the form

of frames where each frame comprises of one or

more data elements. Support for data element k

within a frame is defined as (occurrences of

k)/(elements in frame) ?-Consistency for data

element k is the sustained support for k over

all frames read so far, with a leakage of (1-

?)

Mining Streaming Data

?-Consistency (Srinivasa and Spiliopoulou,

CoopIS 1999)

?sup(k)

(1-?)

levelt(k) (1-?)levelt-1(k) ?sup(k)

Data Warehousing

- A platform for online analytical processing

(OLAP) - Warehouses collect transactional data from

several transactional databases and organize them

in a fashion amenable to analysis - Also called data marts
- A critical component of the decision support

system (DSS) of enterprises - Some typical DW queries
- Which item sells best in each region that has

retail outlets - Which advertising strategy is best for South

India? - Which (age_group/occupation) in South India likes

fast food, and which (age_group/occupation) likes

to cook?

Data Warehousing

OLTP

Order Processing

Data Cleaning

Inventory

Data Warehouse (OLAP)

Sales

OLTP vs OLAP

Transactional Data (OLTP) Analysis Data (OLAP)

Small or medium size databases Very large databases

Transient data Archival data

Frequent insertions and updates Infrequent updates

Small query shadow Very large query shadow

Normalization important to handle updates De-normalization important to handle queries

Data Cleaning

- Performs logical transformation of transactional

data to suit the data warehouse - Model of operations ? model of enterprise
- Usually a semi-automatic process

Data Cleaning

Data Warehouse Customers Products Orders Inventor

y Price Time

Orders Order_id Price Cust_id

Inventory Prod_id Price Price_chng

Sales Cust_id Cust_prof Tot_sales

Multi-dimensional Data Model

Price

Products

Orders

Customers

Jan01 Jun01 Jan02

Jun02

Time

Some MDBMS Operations

- Roll-up
- Add dimensions
- Drill-down
- Collapse dimensions
- Vector-distance operations (ex clustering)
- Vector space browsing

Star Schema

Dim Tbl_1

Dim Tbl_1

Fact table

Dim Tbl_1

Dim Tbl_1

WWW Based References

- http//www.kdnuggets.com/
- http//www.megaputer.com/
- http//www.almaden.ibm.com/cs/quest/index.html
- http//fas.sfu.ca/cs/research/groups/DB/sections/p

ublication/kdd/kdd.html - http//www.cs.su.oz.au/thierry/ckdd.html
- http//www.dwinfocenter.org/
- http//datawarehouse.itoolbox.com/
- http//www.knowledgestorm.com/
- http//www.bitpipe.com/
- http//www.dw-institute.com/
- http//www.datawarehousing.com/

References

- Agrawal, R. Srikant Fast Algorithms for Mining

Association Rules'', Proc. of the 20th Int'l

Conference on Very Large Databases, Santiago,

Chile, Sept. 1994. - R. Agrawal, R. Srikant, Mining Sequential

Patterns'', Proc. of the Int'l Conference on Data

Engineering (ICDE), Taipei, Taiwan, March 1995. - R. Agrawal, A. Arning, T. Bollinger, M. Mehta, J.

Shafer, R. Srikant "The Quest Data Mining

System", Proc. of the 2nd Int'l Conference on

Knowledge Discovery in Databases and Data Mining,

Portland, Oregon, August, 1996. - Surajit Chaudhuri, Umesh Dayal. An Overview of

Data Warehousing and OLAP Technology. ACM SIGMOD

Record. 26(1), March 1997. - Jennifer Widom. Research Problems in Data

Warehousing. Proc. of Intl Conf. On Information

and Knowledge Management, 1995.

References

- A. Shoshani. OLAP and Statistical Databases

Similarities and Differences. Proc. of ACM PODS

1997. - Panos Vassiliadis, Timos Sellis. A Survey on

Logical Models for OLAP Databases. ACM SIGMOD

Record - M. Gyssens, Laks VS Lakshmanan. A Foundation for

Multi-Dimensional Databases. Proc of VLDB 1997,

Athens, Greece. - Srinath Srinivasa, Myra Spiliopoulou. Modeling

Interactions Based on Consistent Patterns. Proc.

of CoopIS 1999, Edinburg, UK. - Srinath Srinivasa, Myra Spiliopoulou. Discerning

Behavioral Patterns By Mining Transaction Logs.

Proc. of ACM SAC 2000, Como, Italy.