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Business Intelligence and
Data Mining
— Topic 4 —
2
Topic 4: Data Warehousing and On-line
Analytical Processing
 Data Warehouse: Basic Concepts
 Data Warehouse Modeling: Data Cube and OLAP
 Data Warehouse Design and Usage
 Data Warehouse Implementation
 Summary
3
What is a Data Warehouse?
 Defined in many different ways, but not rigorously.
 A decision support database that is maintained separately
from the organization’s operational database
 Support information processing by providing a solid platform
of consolidated, historical data for analysis.
 “A data warehouse is a subject-oriented, integrated, time-variant,
and nonvolatile collection of data in support of management’s
decision-making process.”—W. H. Inmon
 Data warehousing:
 The process of constructing and using data warehouses
4
Data Warehouse—Subject-Oriented
 Organized around major subjects, such as customer,
product, sales
 Focusing on the modeling and analysis of data for
decision makers, not on daily operations or
transaction processing
 Provide a simple and concise view around particular
subject issues by excluding data that are not useful in
the decision support process
5
Data Warehouse—Integrated
 Constructed by integrating multiple, heterogeneous
data sources
 relational databases, flat files, on-line transaction
records
 Data cleaning and data integration techniques are
applied.
 Ensure consistency in naming conventions,
encoding structures, attribute measures, etc.
among different data sources

E.g., Hotel price: currency, tax, breakfast covered, etc.
 When data is moved to the warehouse, it is
converted.
6
Data Warehouse—Time Variant
 The time horizon for the data warehouse is
significantly longer than that of operational systems
 Operational database: current value data
 Data warehouse data: provide information from a
historical perspective (e.g., past 5-10 years)
 Every key structure in the data warehouse
 Contains an element of time, explicitly or implicitly
 But the key of operational data may or may not
contain “time element”
7
Data Warehouse—Nonvolatile
 A physically separate store of data transformed from
the operational environment
 Operational update of data does not occur in the
data warehouse environment
 Does not require transaction processing, recovery,
and concurrency control mechanisms
 Requires only two operations in data accessing:

initial loading of data and access of data
8
OLTP vs. OLAP
OLTP OLAP
users clerk, IT professional knowledge worker
function day to day operations decision support
DB design application-oriented subject-oriented
data current, up-to-date
detailed, flat relational
isolated
historical,
summarized, multidimensional
integrated, consolidated
usage repetitive ad-hoc
access read/write
index/hash on prim. key
lots of scans
unit of work short, simple transaction complex query
# records accessed tens millions
#users thousands hundreds
DB size 100MB-GB 100GB-TB
metric transaction throughput query throughput, response
9
Why a Separate Data Warehouse?
 High performance for both systems

DBMS— tuned for OLTP: access methods, indexing, concurrency
control, recovery

Warehouse—tuned for OLAP: complex OLAP queries,
multidimensional view, consolidation
 Different functions and different data:

missing data: Decision support requires historical data which
operational DBs do not typically maintain

data consolidation: DS requires consolidation (aggregation,
summarization) of data from heterogeneous sources
 data quality: different sources typically use inconsistent data
representations, codes and formats which have to be reconciled
 Note: There are more and more systems which perform OLAP
analysis directly on relational databases
10
Data Warehouse: A Multi-Tiered Architecture
Data Warehouse: A Multi-Tiered Architecture
Data
Warehouse
Extract
Transform
Load
Refresh
OLAP Engine
Analysis
Query
Reports
Data mining
Monitor
&
Integrator
Metadata
Data Sources Front-End Tools
Serve
Data Marts
Operational
DBs
Other
sources
Data Storage
OLAP Server
11
Three Data Warehouse Models
 Enterprise warehouse

collects all of the information about subjects spanning
the entire organization
 Data Mart

a subset of corporate-wide data that is of value to a
specific groups of users. Its scope is confined to specific,
selected groups, such as marketing data mart

Independent vs. dependent (directly from warehouse) data mart
 Virtual warehouse

A set of views over operational databases
 Only some of the possible summary views may be
materialized
12
Extraction, Transformation, and Loading (ETL)
 Data extraction
 get data from multiple, heterogeneous, and external
sources
 Data cleaning
 detect errors in the data and rectify them when possible
 Data transformation
 convert data from legacy or host format to warehouse
format
 Load
 sort, summarize, consolidate, compute views, check
integrity, and build indicies and partitions
 Refresh
 propagate the updates from the data sources to the
warehouse
13
Metadata Repository
 Meta data is the data defining warehouse objects. It stores:
 Description of the structure of the data warehouse

schema, view, dimensions, hierarchies, derived data defn, data mart
locations and contents
 Operational meta-data
 data lineage (history of migrated data and transformation path),
currency of data (active, archived, or purged), monitoring
information (warehouse usage statistics, error reports, audit trails)
 The algorithms used for summarization
 The mapping from operational environment to the data warehouse
 Data related to system performance

warehouse schema, view and derived data definitions
 Business data
 business terms and definitions, ownership of data, charging policies
14
Topic 4: Data Warehousing and On-line
Analytical Processing
 Data Warehouse: Basic Concepts
 Data Warehouse Modeling: Data Cube and OLAP
 Data Warehouse Design and Usage
 Data Warehouse Implementation
 Summary
15
From Tables and Spreadsheets to
Data Cubes
 A data warehouse is based on a multidimensional data model
which views data in the form of a data cube
 A data cube, such as sales, allows data to be modeled and viewed
in multiple dimensions
 Dimension tables, such as item (item_name, brand, type), or
time(day, week, month, quarter, year)

Fact table contains measures (such as dollars_sold) and keys
to each of the related dimension tables
 In data warehousing literature, an n-D base cube is called a base
cuboid. The top most 0-D cuboid, which holds the highest-level of
summarization, is called the apex cuboid. The lattice of cuboids
forms a data cube.
16
Cube: A Lattice of Cuboids
time,item
time,item,location
time, item, location, supplier
all
time item location supplier
time,location
time,supplier
item,location
item,supplier
location,supplier
time,item,supplier
time,location,supplier
item,location,supplier
0-D (apex) cuboid
1-D cuboids
2-D cuboids
3-D cuboids
4-D (base) cuboid
17
Conceptual Modeling of Data Warehouses
 Modeling data warehouses: dimensions & measures
 Star schema: A fact table in the middle connected to
a set of dimension tables
 Snowflake schema: A refinement of star schema
where some dimensional hierarchy is normalized
into a set of smaller dimension tables, forming a
shape similar to snowflake
 Fact constellations: Multiple fact tables share
dimension tables, viewed as a collection of stars,
therefore called galaxy schema or fact constellation
18
Example of Star Schema
time_key
day
day_of_the_week
month
quarter
year
time
location_key
street
city
state_or_province
country
location
Sales Fact Table
time_key
item_key
branch_key
location_key
units_sold
dollars_sold
avg_sales
Measures
item_key
item_name
brand
type
supplier_type
item
branch_key
branch_name
branch_type
branch
19
Example of Snowflake Schema
time_key
day
day_of_the_week
month
quarter
year
time
location_key
street
city_key
location
Sales Fact Table
time_key
item_key
branch_key
location_key
units_sold
dollars_sold
avg_sales
Measures
item_key
item_name
brand
type
supplier_key
item
branch_key
branch_name
branch_type
branch
supplier_key
supplier_type
supplier
city_key
city
state_or_province
country
city
20
Example of Fact Constellation
time_key
day
day_of_the_week
month
quarter
year
time
location_key
street
city
province_or_state
country
location
Sales Fact Table
time_key
item_key
branch_key
location_key
units_sold
dollars_sold
avg_sales
Measures
item_key
item_name
brand
type
supplier_type
item
branch_key
branch_name
branch_type
branch
Shipping Fact Table
time_key
item_key
shipper_key
from_location
to_location
dollars_cost
units_shipped
shipper_key
shipper_name
location_key
shipper_type
shipper
21
A Concept Hierarchy:
Dimension (location)
all
Europe North_America
Mexico
Canada
Spain
Germany
Vancouver
M. Wind
L. Chan
...
...
...
... ...
...
all
region
office
country
Toronto
Frankfurt
city
22
Data Cube Measures: Three Categories
 Distributive: if the result derived by applying the function
to n aggregate values is the same as that derived by
applying the function on all the data without partitioning

E.g., count(), sum(), min(), max()
 Algebraic: if it can be computed by an algebraic function
with M arguments (where M is a bounded integer), each of
which is obtained by applying a distributive aggregate
function

E.g., avg(), min_N(), standard_deviation()
 Holistic: if there is no constant bound on the storage size
needed to describe a subaggregate.

E.g., median(), mode(), rank()
23
View of Warehouses and Hierarchies
Specification of
hierarchies
 Schema hierarchy
day < {month <
quarter; week} < year
 Set_grouping hierarchy
{1..10} < inexpensive
24
Multidimensional Data
 Sales volume as a function of product, month,
and region
Product
R
e
g
i
o
n
Month
Dimensions: Product, Location, Time
Hierarchical summarization paths
Industry Region Year
Category Country Quarter
Product City Month Week
Office Day
25
A Sample Data Cube
Total annual sales
of TVs in U.S.A.
Date
P
r
o
d
u
c
t
Country
sum
sum
TV
VCR
PC
1Qtr 2Qtr 3Qtr 4Qtr
U.S.A
Canada
Mexico
sum
26
Cuboids Corresponding to the Cube
all
product date country
product,date product,country date, country
product, date, country
0-D (apex) cuboid
1-D cuboids
2-D cuboids
3-D (base) cuboid
27
Typical OLAP Operations
 Roll up (drill-up): summarize data
 by climbing up hierarchy or by dimension reduction
 Drill down (roll down): reverse of roll-up
 from higher level summary to lower level summary or
detailed data, or introducing new dimensions

Slice and dice: project and select
 Pivot (rotate):
 reorient the cube, visualization, 3D to series of 2D planes
 Other operations
 drill across: involving (across) more than one fact table
 drill through: through the bottom level of the cube to its
back-end relational tables (using SQL)
28
Fig. 3.10 Typical
OLAP Operations
29
A Star-Net Query Model
Shipping Method
AIR-EXPRESS
TRUCK
ORDER
Customer Orders
CONTRACTS
Customer
Product
PRODUCT GROUP
PRODUCT LINE
PRODUCT ITEM
SALES PERSON
DISTRICT
DIVISION
Organization
Promotion
CITY
COUNTRY
REGION
Location
DAILY
QTRLY
ANNUALY
Time
Each circle is
called a
footprint
30
Browsing a Data Cube
 Visualization
 OLAP capabilities
 Interactive manipulation
31
Topic 4: Data Warehousing and On-line
Analytical Processing
 Data Warehouse: Basic Concepts
 Data Warehouse Modeling: Data Cube and OLAP
 Data Warehouse Design and Usage
 Data Warehouse Implementation
 Summary
32
Design of Data Warehouse: A Business
Analysis Framework
 Four views regarding the design of a data warehouse
 Top-down view

allows selection of the relevant information necessary for
the data warehouse
 Data source view

exposes the information being captured, stored, and
managed by operational systems
 Data warehouse view

consists of fact tables and dimension tables
 Business query view

sees the perspectives of data in the warehouse from the
view of end-user
33
Data Warehouse Design Process
 Top-down, bottom-up approaches or a combination of both
 Top-down: Starts with overall design and planning (mature)
 Bottom-up: Starts with experiments and prototypes (rapid)
 From software engineering point of view
 Waterfall: structured and systematic analysis at each step
before proceeding to the next
 Spiral: rapid generation of increasingly functional systems,
short turn around time, quick turn around
 Typical data warehouse design process
 Choose a business process to model, e.g., orders, invoices, etc.
 Choose the grain (atomic level of data) of the business process
 Choose the dimensions that will apply to each fact table record
 Choose the measure that will populate each fact table record
34
Data Warehouse Development:
A Recommended Approach
Define a high-level corporate data model
Data
Mart
Data
Mart
Distributed
Data Marts
Multi-Tier Data
Warehouse
Enterprise
Data
Warehouse
Model refinement
Model refinement
35
Data Warehouse Usage
 Three kinds of data warehouse applications
 Information processing

supports querying, basic statistical analysis, and reporting
using crosstabs, tables, charts and graphs
 Analytical processing

multidimensional analysis of data warehouse data

supports basic OLAP operations, slice-dice, drilling, pivoting
 Data mining

knowledge discovery from hidden patterns

supports associations, constructing analytical models,
performing classification and prediction, and presenting
the mining results using visualization tools
36
From On-Line Analytical Processing (OLAP)
to On Line Analytical Mining (OLAM)
 Why online analytical mining?

High quality of data in data warehouses

DW contains integrated, consistent, cleaned data

Available information processing structure
surrounding data warehouses

ODBC, OLEDB, Web accessing, service facilities,
reporting and OLAP tools

OLAP-based exploratory data analysis

Mining with drilling, dicing, pivoting, etc.

On-line selection of data mining functions

Integration and swapping of multiple mining
functions, algorithms, and tasks
37
Topic 4: Data Warehousing and On-line
Analytical Processing
 Data Warehouse: Basic Concepts
 Data Warehouse Modeling: Data Cube and OLAP
 Data Warehouse Design and Usage
 Data Warehouse Implementation
 Summary
38
Efficient Data Cube Computation
 Data cube can be viewed as a lattice of cuboids

The bottom-most cuboid is the base cuboid
 The top-most cuboid (apex) contains only one cell
 How many cuboids in an n-dimensional cube with L
levels?
 Materialization of data cube
 Materialize every (cuboid) (full materialization),
none (no materialization), or some (partial
materialization)

Selection of which cuboids to materialize

Based on size, sharing, access frequency, etc.
)
1
1
( 



n
i
i
L
T
39
The “Compute Cube” Operator
 Cube definition and computation in DMQL
define cube sales [item, city, year]: sum (sales_in_dollars)
compute cube sales
 Transform it into a SQL-like language (with a new operator
cube by, introduced by Gray et al.’96)
SELECT item, city, year, SUM (amount)
FROM SALES
CUBE BY item, city, year
 Need compute the following Group-Bys
(date, product, customer),
(date,product),(date, customer), (product, customer),
(date), (product), (customer)
()
(item)
(city)
()
(year)
(city, item) (city, year) (item, year)
(city, item, year)
40
Indexing OLAP Data: Bitmap Index
 Index on a particular column
 Each value in the column has a bit vector: bit-op is fast
 The length of the bit vector: # of records in the base table
 The i-th bit is set if the i-th row of the base table has the value for the
indexed column
 not suitable for high cardinality domains
 A recent bit compression technique, Word-Aligned Hybrid (WAH),
makes it work for high cardinality domain as well [Wu, et al. TODS’06]
Cust Region Type
C1 Asia Retail
C2 Europe Dealer
C3 Asia Dealer
C4 America Retail
C5 Europe Dealer
RecID Retail Dealer
1 1 0
2 0 1
3 0 1
4 1 0
5 0 1
RecIDAsia Europe America
1 1 0 0
2 0 1 0
3 1 0 0
4 0 0 1
5 0 1 0
Base table Index on Region Index on Type
41
Indexing OLAP Data: Join Indices
 Join index: JI(R-id, S-id) where R (R-id, …)  S
(S-id, …)
 Traditional indices map the values to a list of
record ids
 It materializes relational join in JI file and
speeds up relational join
 In data warehouses, join index relates the
values of the dimensions of a start schema to
rows in the fact table.
 E.g. fact table: Sales and two dimensions
city and product

A join index on city maintains for each
distinct city a list of R-IDs of the tuples
recording the Sales in the city
 Join indices can span multiple dimensions
42
Efficient Processing OLAP Queries
 Determine which operations should be performed on the available cuboids
 Transform drill, roll, etc. into corresponding SQL and/or OLAP operations,
e.g., dice = selection + projection
 Determine which materialized cuboid(s) should be selected for OLAP op.

Let the query to be processed be on {brand, province_or_state} with the
condition “year = 2004”, and there are 4 materialized cuboids available:
1) {year, item_name, city}
2) {year, brand, country}
3) {year, brand, province_or_state}
4) {item_name, province_or_state} where year = 2004
Which should be selected to process the query?
 Explore indexing structures and compressed vs. dense array structs in MOLAP
43
OLAP Server Architectures
 Relational OLAP (ROLAP)
 Use relational or extended-relational DBMS to store and manage
warehouse data and OLAP middle ware

Include optimization of DBMS backend, implementation of
aggregation navigation logic, and additional tools and services

Greater scalability
 Multidimensional OLAP (MOLAP)
 Sparse array-based multidimensional storage engine
 Fast indexing to pre-computed summarized data
 Hybrid OLAP (HOLAP) (e.g., Microsoft SQLServer)
 Flexibility, e.g., low level: relational, high-level: array
 Specialized SQL servers (e.g., Redbricks)

Specialized support for SQL queries over star/snowflake schemas
44
Topic 4: Data Warehousing and On-line
Analytical Processing
 Data Warehouse: Basic Concepts
 Data Warehouse Modeling: Data Cube and OLAP
 Data Warehouse Design and Usage
 Data Warehouse Implementation
 Summary
45
Summary
 Data warehousing: A multi-dimensional model of a data warehouse

A data cube consists of dimensions & measures

Star schema, snowflake schema, fact constellations
 OLAP operations: drilling, rolling, slicing, dicing and pivoting
 Data Warehouse Architecture, Design, and Usage
 Multi-tiered architecture

Business analysis design framework
 Information processing, analytical processing, data mining,
OLAM (Online Analytical Mining)
 Implementation: Efficient computation of data cubes

Partial vs. full vs. no materialization

Indexing OALP data: Bitmap index and join index

OLAP query processing
 OLAP servers: ROLAP, MOLAP, HOLAP
Ad

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Topic(4)-OLAP data mining master ALEX.ppt

  • 1. 1 Business Intelligence and Data Mining — Topic 4 —
  • 2. 2 Topic 4: Data Warehousing and On-line Analytical Processing  Data Warehouse: Basic Concepts  Data Warehouse Modeling: Data Cube and OLAP  Data Warehouse Design and Usage  Data Warehouse Implementation  Summary
  • 3. 3 What is a Data Warehouse?  Defined in many different ways, but not rigorously.  A decision support database that is maintained separately from the organization’s operational database  Support information processing by providing a solid platform of consolidated, historical data for analysis.  “A data warehouse is a subject-oriented, integrated, time-variant, and nonvolatile collection of data in support of management’s decision-making process.”—W. H. Inmon  Data warehousing:  The process of constructing and using data warehouses
  • 4. 4 Data Warehouse—Subject-Oriented  Organized around major subjects, such as customer, product, sales  Focusing on the modeling and analysis of data for decision makers, not on daily operations or transaction processing  Provide a simple and concise view around particular subject issues by excluding data that are not useful in the decision support process
  • 5. 5 Data Warehouse—Integrated  Constructed by integrating multiple, heterogeneous data sources  relational databases, flat files, on-line transaction records  Data cleaning and data integration techniques are applied.  Ensure consistency in naming conventions, encoding structures, attribute measures, etc. among different data sources  E.g., Hotel price: currency, tax, breakfast covered, etc.  When data is moved to the warehouse, it is converted.
  • 6. 6 Data Warehouse—Time Variant  The time horizon for the data warehouse is significantly longer than that of operational systems  Operational database: current value data  Data warehouse data: provide information from a historical perspective (e.g., past 5-10 years)  Every key structure in the data warehouse  Contains an element of time, explicitly or implicitly  But the key of operational data may or may not contain “time element”
  • 7. 7 Data Warehouse—Nonvolatile  A physically separate store of data transformed from the operational environment  Operational update of data does not occur in the data warehouse environment  Does not require transaction processing, recovery, and concurrency control mechanisms  Requires only two operations in data accessing:  initial loading of data and access of data
  • 8. 8 OLTP vs. OLAP OLTP OLAP users clerk, IT professional knowledge worker function day to day operations decision support DB design application-oriented subject-oriented data current, up-to-date detailed, flat relational isolated historical, summarized, multidimensional integrated, consolidated usage repetitive ad-hoc access read/write index/hash on prim. key lots of scans unit of work short, simple transaction complex query # records accessed tens millions #users thousands hundreds DB size 100MB-GB 100GB-TB metric transaction throughput query throughput, response
  • 9. 9 Why a Separate Data Warehouse?  High performance for both systems  DBMS— tuned for OLTP: access methods, indexing, concurrency control, recovery  Warehouse—tuned for OLAP: complex OLAP queries, multidimensional view, consolidation  Different functions and different data:  missing data: Decision support requires historical data which operational DBs do not typically maintain  data consolidation: DS requires consolidation (aggregation, summarization) of data from heterogeneous sources  data quality: different sources typically use inconsistent data representations, codes and formats which have to be reconciled  Note: There are more and more systems which perform OLAP analysis directly on relational databases
  • 10. 10 Data Warehouse: A Multi-Tiered Architecture Data Warehouse: A Multi-Tiered Architecture Data Warehouse Extract Transform Load Refresh OLAP Engine Analysis Query Reports Data mining Monitor & Integrator Metadata Data Sources Front-End Tools Serve Data Marts Operational DBs Other sources Data Storage OLAP Server
  • 11. 11 Three Data Warehouse Models  Enterprise warehouse  collects all of the information about subjects spanning the entire organization  Data Mart  a subset of corporate-wide data that is of value to a specific groups of users. Its scope is confined to specific, selected groups, such as marketing data mart  Independent vs. dependent (directly from warehouse) data mart  Virtual warehouse  A set of views over operational databases  Only some of the possible summary views may be materialized
  • 12. 12 Extraction, Transformation, and Loading (ETL)  Data extraction  get data from multiple, heterogeneous, and external sources  Data cleaning  detect errors in the data and rectify them when possible  Data transformation  convert data from legacy or host format to warehouse format  Load  sort, summarize, consolidate, compute views, check integrity, and build indicies and partitions  Refresh  propagate the updates from the data sources to the warehouse
  • 13. 13 Metadata Repository  Meta data is the data defining warehouse objects. It stores:  Description of the structure of the data warehouse  schema, view, dimensions, hierarchies, derived data defn, data mart locations and contents  Operational meta-data  data lineage (history of migrated data and transformation path), currency of data (active, archived, or purged), monitoring information (warehouse usage statistics, error reports, audit trails)  The algorithms used for summarization  The mapping from operational environment to the data warehouse  Data related to system performance  warehouse schema, view and derived data definitions  Business data  business terms and definitions, ownership of data, charging policies
  • 14. 14 Topic 4: Data Warehousing and On-line Analytical Processing  Data Warehouse: Basic Concepts  Data Warehouse Modeling: Data Cube and OLAP  Data Warehouse Design and Usage  Data Warehouse Implementation  Summary
  • 15. 15 From Tables and Spreadsheets to Data Cubes  A data warehouse is based on a multidimensional data model which views data in the form of a data cube  A data cube, such as sales, allows data to be modeled and viewed in multiple dimensions  Dimension tables, such as item (item_name, brand, type), or time(day, week, month, quarter, year)  Fact table contains measures (such as dollars_sold) and keys to each of the related dimension tables  In data warehousing literature, an n-D base cube is called a base cuboid. The top most 0-D cuboid, which holds the highest-level of summarization, is called the apex cuboid. The lattice of cuboids forms a data cube.
  • 16. 16 Cube: A Lattice of Cuboids time,item time,item,location time, item, location, supplier all time item location supplier time,location time,supplier item,location item,supplier location,supplier time,item,supplier time,location,supplier item,location,supplier 0-D (apex) cuboid 1-D cuboids 2-D cuboids 3-D cuboids 4-D (base) cuboid
  • 17. 17 Conceptual Modeling of Data Warehouses  Modeling data warehouses: dimensions & measures  Star schema: A fact table in the middle connected to a set of dimension tables  Snowflake schema: A refinement of star schema where some dimensional hierarchy is normalized into a set of smaller dimension tables, forming a shape similar to snowflake  Fact constellations: Multiple fact tables share dimension tables, viewed as a collection of stars, therefore called galaxy schema or fact constellation
  • 18. 18 Example of Star Schema time_key day day_of_the_week month quarter year time location_key street city state_or_province country location Sales Fact Table time_key item_key branch_key location_key units_sold dollars_sold avg_sales Measures item_key item_name brand type supplier_type item branch_key branch_name branch_type branch
  • 19. 19 Example of Snowflake Schema time_key day day_of_the_week month quarter year time location_key street city_key location Sales Fact Table time_key item_key branch_key location_key units_sold dollars_sold avg_sales Measures item_key item_name brand type supplier_key item branch_key branch_name branch_type branch supplier_key supplier_type supplier city_key city state_or_province country city
  • 20. 20 Example of Fact Constellation time_key day day_of_the_week month quarter year time location_key street city province_or_state country location Sales Fact Table time_key item_key branch_key location_key units_sold dollars_sold avg_sales Measures item_key item_name brand type supplier_type item branch_key branch_name branch_type branch Shipping Fact Table time_key item_key shipper_key from_location to_location dollars_cost units_shipped shipper_key shipper_name location_key shipper_type shipper
  • 21. 21 A Concept Hierarchy: Dimension (location) all Europe North_America Mexico Canada Spain Germany Vancouver M. Wind L. Chan ... ... ... ... ... ... all region office country Toronto Frankfurt city
  • 22. 22 Data Cube Measures: Three Categories  Distributive: if the result derived by applying the function to n aggregate values is the same as that derived by applying the function on all the data without partitioning  E.g., count(), sum(), min(), max()  Algebraic: if it can be computed by an algebraic function with M arguments (where M is a bounded integer), each of which is obtained by applying a distributive aggregate function  E.g., avg(), min_N(), standard_deviation()  Holistic: if there is no constant bound on the storage size needed to describe a subaggregate.  E.g., median(), mode(), rank()
  • 23. 23 View of Warehouses and Hierarchies Specification of hierarchies  Schema hierarchy day < {month < quarter; week} < year  Set_grouping hierarchy {1..10} < inexpensive
  • 24. 24 Multidimensional Data  Sales volume as a function of product, month, and region Product R e g i o n Month Dimensions: Product, Location, Time Hierarchical summarization paths Industry Region Year Category Country Quarter Product City Month Week Office Day
  • 25. 25 A Sample Data Cube Total annual sales of TVs in U.S.A. Date P r o d u c t Country sum sum TV VCR PC 1Qtr 2Qtr 3Qtr 4Qtr U.S.A Canada Mexico sum
  • 26. 26 Cuboids Corresponding to the Cube all product date country product,date product,country date, country product, date, country 0-D (apex) cuboid 1-D cuboids 2-D cuboids 3-D (base) cuboid
  • 27. 27 Typical OLAP Operations  Roll up (drill-up): summarize data  by climbing up hierarchy or by dimension reduction  Drill down (roll down): reverse of roll-up  from higher level summary to lower level summary or detailed data, or introducing new dimensions  Slice and dice: project and select  Pivot (rotate):  reorient the cube, visualization, 3D to series of 2D planes  Other operations  drill across: involving (across) more than one fact table  drill through: through the bottom level of the cube to its back-end relational tables (using SQL)
  • 29. 29 A Star-Net Query Model Shipping Method AIR-EXPRESS TRUCK ORDER Customer Orders CONTRACTS Customer Product PRODUCT GROUP PRODUCT LINE PRODUCT ITEM SALES PERSON DISTRICT DIVISION Organization Promotion CITY COUNTRY REGION Location DAILY QTRLY ANNUALY Time Each circle is called a footprint
  • 30. 30 Browsing a Data Cube  Visualization  OLAP capabilities  Interactive manipulation
  • 31. 31 Topic 4: Data Warehousing and On-line Analytical Processing  Data Warehouse: Basic Concepts  Data Warehouse Modeling: Data Cube and OLAP  Data Warehouse Design and Usage  Data Warehouse Implementation  Summary
  • 32. 32 Design of Data Warehouse: A Business Analysis Framework  Four views regarding the design of a data warehouse  Top-down view  allows selection of the relevant information necessary for the data warehouse  Data source view  exposes the information being captured, stored, and managed by operational systems  Data warehouse view  consists of fact tables and dimension tables  Business query view  sees the perspectives of data in the warehouse from the view of end-user
  • 33. 33 Data Warehouse Design Process  Top-down, bottom-up approaches or a combination of both  Top-down: Starts with overall design and planning (mature)  Bottom-up: Starts with experiments and prototypes (rapid)  From software engineering point of view  Waterfall: structured and systematic analysis at each step before proceeding to the next  Spiral: rapid generation of increasingly functional systems, short turn around time, quick turn around  Typical data warehouse design process  Choose a business process to model, e.g., orders, invoices, etc.  Choose the grain (atomic level of data) of the business process  Choose the dimensions that will apply to each fact table record  Choose the measure that will populate each fact table record
  • 34. 34 Data Warehouse Development: A Recommended Approach Define a high-level corporate data model Data Mart Data Mart Distributed Data Marts Multi-Tier Data Warehouse Enterprise Data Warehouse Model refinement Model refinement
  • 35. 35 Data Warehouse Usage  Three kinds of data warehouse applications  Information processing  supports querying, basic statistical analysis, and reporting using crosstabs, tables, charts and graphs  Analytical processing  multidimensional analysis of data warehouse data  supports basic OLAP operations, slice-dice, drilling, pivoting  Data mining  knowledge discovery from hidden patterns  supports associations, constructing analytical models, performing classification and prediction, and presenting the mining results using visualization tools
  • 36. 36 From On-Line Analytical Processing (OLAP) to On Line Analytical Mining (OLAM)  Why online analytical mining?  High quality of data in data warehouses  DW contains integrated, consistent, cleaned data  Available information processing structure surrounding data warehouses  ODBC, OLEDB, Web accessing, service facilities, reporting and OLAP tools  OLAP-based exploratory data analysis  Mining with drilling, dicing, pivoting, etc.  On-line selection of data mining functions  Integration and swapping of multiple mining functions, algorithms, and tasks
  • 37. 37 Topic 4: Data Warehousing and On-line Analytical Processing  Data Warehouse: Basic Concepts  Data Warehouse Modeling: Data Cube and OLAP  Data Warehouse Design and Usage  Data Warehouse Implementation  Summary
  • 38. 38 Efficient Data Cube Computation  Data cube can be viewed as a lattice of cuboids  The bottom-most cuboid is the base cuboid  The top-most cuboid (apex) contains only one cell  How many cuboids in an n-dimensional cube with L levels?  Materialization of data cube  Materialize every (cuboid) (full materialization), none (no materialization), or some (partial materialization)  Selection of which cuboids to materialize  Based on size, sharing, access frequency, etc. ) 1 1 (     n i i L T
  • 39. 39 The “Compute Cube” Operator  Cube definition and computation in DMQL define cube sales [item, city, year]: sum (sales_in_dollars) compute cube sales  Transform it into a SQL-like language (with a new operator cube by, introduced by Gray et al.’96) SELECT item, city, year, SUM (amount) FROM SALES CUBE BY item, city, year  Need compute the following Group-Bys (date, product, customer), (date,product),(date, customer), (product, customer), (date), (product), (customer) () (item) (city) () (year) (city, item) (city, year) (item, year) (city, item, year)
  • 40. 40 Indexing OLAP Data: Bitmap Index  Index on a particular column  Each value in the column has a bit vector: bit-op is fast  The length of the bit vector: # of records in the base table  The i-th bit is set if the i-th row of the base table has the value for the indexed column  not suitable for high cardinality domains  A recent bit compression technique, Word-Aligned Hybrid (WAH), makes it work for high cardinality domain as well [Wu, et al. TODS’06] Cust Region Type C1 Asia Retail C2 Europe Dealer C3 Asia Dealer C4 America Retail C5 Europe Dealer RecID Retail Dealer 1 1 0 2 0 1 3 0 1 4 1 0 5 0 1 RecIDAsia Europe America 1 1 0 0 2 0 1 0 3 1 0 0 4 0 0 1 5 0 1 0 Base table Index on Region Index on Type
  • 41. 41 Indexing OLAP Data: Join Indices  Join index: JI(R-id, S-id) where R (R-id, …)  S (S-id, …)  Traditional indices map the values to a list of record ids  It materializes relational join in JI file and speeds up relational join  In data warehouses, join index relates the values of the dimensions of a start schema to rows in the fact table.  E.g. fact table: Sales and two dimensions city and product  A join index on city maintains for each distinct city a list of R-IDs of the tuples recording the Sales in the city  Join indices can span multiple dimensions
  • 42. 42 Efficient Processing OLAP Queries  Determine which operations should be performed on the available cuboids  Transform drill, roll, etc. into corresponding SQL and/or OLAP operations, e.g., dice = selection + projection  Determine which materialized cuboid(s) should be selected for OLAP op.  Let the query to be processed be on {brand, province_or_state} with the condition “year = 2004”, and there are 4 materialized cuboids available: 1) {year, item_name, city} 2) {year, brand, country} 3) {year, brand, province_or_state} 4) {item_name, province_or_state} where year = 2004 Which should be selected to process the query?  Explore indexing structures and compressed vs. dense array structs in MOLAP
  • 43. 43 OLAP Server Architectures  Relational OLAP (ROLAP)  Use relational or extended-relational DBMS to store and manage warehouse data and OLAP middle ware  Include optimization of DBMS backend, implementation of aggregation navigation logic, and additional tools and services  Greater scalability  Multidimensional OLAP (MOLAP)  Sparse array-based multidimensional storage engine  Fast indexing to pre-computed summarized data  Hybrid OLAP (HOLAP) (e.g., Microsoft SQLServer)  Flexibility, e.g., low level: relational, high-level: array  Specialized SQL servers (e.g., Redbricks)  Specialized support for SQL queries over star/snowflake schemas
  • 44. 44 Topic 4: Data Warehousing and On-line Analytical Processing  Data Warehouse: Basic Concepts  Data Warehouse Modeling: Data Cube and OLAP  Data Warehouse Design and Usage  Data Warehouse Implementation  Summary
  • 45. 45 Summary  Data warehousing: A multi-dimensional model of a data warehouse  A data cube consists of dimensions & measures  Star schema, snowflake schema, fact constellations  OLAP operations: drilling, rolling, slicing, dicing and pivoting  Data Warehouse Architecture, Design, and Usage  Multi-tiered architecture  Business analysis design framework  Information processing, analytical processing, data mining, OLAM (Online Analytical Mining)  Implementation: Efficient computation of data cubes  Partial vs. full vs. no materialization  Indexing OALP data: Bitmap index and join index  OLAP query processing  OLAP servers: ROLAP, MOLAP, HOLAP

Editor's Notes

  • #12: MK 08.11.09 Former title: Data Warehouse Back-End Tools and Utilities
  • #40: Bit-map index compression methods should be introduced -JH