Data Warehousing and Data Mining. Announcements (December 1) Data integration. CPS 116 Introduction to Database Systems

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1 Data Warehousing and Data Mining CPS 116 Introduction to Database Systems Announcements (December 1) 2 Homework #4 due today Sample solution available Thursday Course project demo period has begun! Check for your scheduled slot Check course website for what to submit Final exam next Tuesday, Dec. 8, 9am-12pm Again, open book, open notes Focus on the second half of the course Sample final (from last year) available today Sample final solution available Thursday Course evaluations Data integration Data resides in many distributed, heterogeneous OLTP (On-Line Transaction Processing) sources Sales, inventory, customer, NC branch, NY branch, CA branch, Need to support OLAP (On-Line Analytical l Processing) over an integrated view of the data Possible approaches to integration Eager: integrate in advance and store the integrated data at a central repository called the data warehouse Lazy: integrate on demand; process queries over distributed sources mediated or federated systems 3 1

2 OLTP versus OLAP 4 OLTP Mostly updates Short, simple transactions Clerical users Goal: ACID, transaction throughput OLAP Mostly reads Long, complex queries Analysts, decision makers Goal: fast queries Implications on database design and optimization? Eager versus lazy integration 5 Eager (warehousing) In advance: before queries Copy data from sources Answer could be stale Need to maintain consistency Query processing is local to the warehouse Faster Can operate when sources are unavailable Lazy On demand: at query time Leave data at sources Answer is more up-to-date No need to maintain consistency Sources participate in query processing Slower Interferes with local processing Maintaining a data warehouse 6 The ETL process Extraction: extract relevant data and/or changes from sources Transformation: transform data to match the warehouse schema Loading: integrate data/changes into the warehouse Approaches Recomputation Easy to implement; just take periodic dumps of the sources, say, every night Incremental maintenance Compute and apply only incremental changes 2

3 Star schema of a data warehouse Dimension table Dimension table Store SID city Product PID name cost s1 Durham p1 beer 10 s2 Chapel Hill p2 diaper 16 s3 RTP 7 OID date CID PID SID qty price Sale /23/2009 c3 p1 s Fact table /12/2009 c3 p2 s Big /24/2009 c5 p1 s Constantly growing Stores measures (often aggregated in queries) CID name address city Dimension table c3 Amy 100 Main St. Durham Small c4 Ben 102 Main St. Durham Updated infrequently c5 Coy 800 Eighth St. Durham Data cube 8 Product Simplified schema: Sale (CID, PID, SID, qty) (c5, p1, s3) = 5 p2 p1 s1 s2 s3 (c3, p2, s1) = 2 Store (c3, p1, s1) = 1 (c5, p1, s1) = 3 ALL c3 c4 c5 Completing the cube plane 9 Total quantity of sales for each product in each store SELECT PID, SID, SUM(qty) FROM Sale Product PID, SID; (c5, p1, s3) = 5 (ALL, p1, s3) = 5 (ALL, p2, s1) = 2 (c3, p2, s1) = 2 Store p2 (ALL, p1, s1) = 4 s3 (c3, p1, s1) = 1 (c5, p1, s1) = 3 s2 p1 s1 Project all points onto Product-Store plane ALL c3 c4 c5 3

4 Completing the cube axis 10 Product Total quantity of sales for each product SELECT PID, SUM(qty) FROM Sale PID; (c5, p1, s3) = 5 (ALL, p1, s3) = 5 (ALL, p2, s1) = 2 (c3, p2, s1) = 2 (ALL, p2, ALL) Store = 2 p2 (ALL, p1, s1) = 4 s3 (c3, p1, s1) = 1 (c5, p1, s1) = 3 s2 (ALL, p1, ALL) = 9 p1 s1 Further project points onto Product axis ALL c3 c4 c5 Completing the cube origin 11 Product Total quantity of sales SELECT SUM(qty) FROM Sale; (c5, p1, s3) = 5 (ALL, p1, s3) = 5 (ALL, p2, s1) = 2 (c3, p2, s1) = 2 (ALL, p2, ALL) Store = 2 p2 (ALL, p1, s1) = 4 s3 (c3, p1, s1) = 1 (c5, p1, s1) = 3 s2 (ALL, p1, ALL) = 9 p1 s1 Further project points onto the origin ALL (ALL, ALL, ALL) = 11 c3 c4 c5 CUBE operator 12 Sale (CID, PID, SID, qty) Proposed SQL extension: SELECT SUM(qty) FROM Sale CUBE CID, PID, SID; Output contains: Normal groups produced by (c1, p1, s1, sum), (c1, p2, s3, sum), etc. Groups with one or more ALL s (ALL, p1, s1, sum), (c2, ALL, ALL, sum), (ALL, ALL, ALL, sum), etc. Can you write a CUBE query using only s? Gray et al., Data Cube: A Relational Aggregation Operator Generalizing Group-By, Cross-Tab, and Sub-Total. ICDE

5 Aggregation lattice 13 Roll up CID PID SID Drill down CID, PID CID, SID CID, PID, SID PID, SID A parent can be computed from any child Materialized views 14 Computing and CUBE aggregates is expensive OLAP queries perform these operations over and over again Idea: precompute and store the aggregates as materialized views Maintained automatically as base data changes Called automatic summary tables in DB2 Selecting views to materialize 15 Factors in deciding what to materialize What is its storage cost? What is its update cost? Which queries can benefit from it? How much can a query benefit from it? Example is small, but not useful to most queries CID, PID, SID is useful to any query, but too large to be beneficial Harinarayan et al., Implementing Data Cubes Efficiently. SIGMOD

6 Data mining 16 Data knowledge DBMS meets AI and statistics Clustering, prediction (classification and regression), association analysis, outlier analysis, evolution analysis, etc. Usually complex statistical queries that are difficult to answer often specialized algorithms outside DBMS We will focus on frequent itemset mining Mining frequent itemsets 17 Given: a large database of transactions, each containing a set of items Example: market baskets Find all frequent itemsets A set of items X is frequent if no less than s min % of all transactions contain X Examples: {diaper, beer}, {scanner, color printer} TID T001 T002 T003 T004 T005 T006 T007 T008 T009 items diaper, milk, candy milk, egg milk, beer diaper, milk, egg diaper, beer milk, beer diaper, beer diaper, milk, beer, candy diaper, milk, beer First try 18 A naïve algorithm Keep a running count for each possible itemset For each transaction T, and for each itemset X, if T contains X then increment the count for X Return itemsets with large enough counts Problem: Think: How do we prune the search space? 6

7 The Apriori property 19 All subsets of a frequent itemset must also be frequent Because any transaction that contains X must also contains subsets of X If we have already verified that X is infrequent, there is no need to count X s supersets because they must be infrequent too The Apriori algorithm 20 Multiple passes over the transactions Pass k finds all frequent k-itemsets (itemset of size k) Use the set of frequent k-itemsets found in pass k to construct candidate (k+1)-itemsets to be counted in pass (k+1) A (k+1)-itemset is a candidate only if all its subsets of size k are frequent Example: pass 1 TID items T001 A, B, E T002 B, D T003 B, C T004 A, B, D T005 A, C T006 B, C {A} 6 T007 A, C {B} 7 T008 A, B, C, E {C} 6 T009 A, B, C {D} 2 T010 F {E} 2 Transactions s min % = 20% 1-itemsets (Itemset {F} is infrequent) 21 7

8 Example: pass 2 Generate TID items T001 A, B, E T002 B, D T003 B, C T004 A, B, D T005 A, C T006 B, C T007 A, C T008 A, B, C, E T009 A, B, C T010 F Transactions s min % = 20% {A} 6 {B} 7 {C} 6 {D} 2 {E} 2 1-itemsets candidates Scan and count itemset {A,B} {A,C} {A,D} count {A,E} 2 {B,C} 4 {B,D} 2 {B,E} 2 {C,D} 0 {C,E} 1 {D,E} 0 Candidate 2-itemsets Check min. support {A,B} 4 {A,C} 4 {A,E} 2 {B,C} 4 {B,D} 2 {B,E} 2 2-itemsets 22 Example: pass 3 TID T001 T002 T003 T004 T005 T006 T007 T008 T009 T010 items A, B, E B, D B, C A, B, D A, C B, C A, C A, B, C, E A, B, C F Transactions s min % = 20% Generate candidates {A,B} 4 {A,C} 4 {A,E} 2 {B,C} 4 {B,D} 2 {B,E} 2 2-itemsets Scan and count Candidate 3-itemsets Check min. support {A,B,C} 2 {A,B,E} 2 3-itemsets 23 Example: pass 4 TID T001 T002 T003 T004 T005 T006 T007 T008 T009 T010 items A, B, E B, D B, C A, B, D A, C B, C A, C A, B, C, E A, B, C F Transactions s min % = 20% Generate candidates {A,B,C} 2 {A,B,E} 2 3-itemsets Candidate 4-itemsets 24 8

9 Example: final answer 25 {A} 6 {B} 7 {C} 6 {D} 2 {E} 2 1-itemsets {A,B} 4 {A,C} 4 {A,E} 2 {B,C} 4 {B,D} 2 {B,E} 2 2-itemsets {A,B,C} 2 {A,B,E} 2 3-itemsets Summary 26 Data warehousing Eagerly integrate data from operational sources and store a redundant copy to support OLAP OLAP vs. OLTP: different workload different degree of redundancy Data mining Only covered frequent ing Skipped many other techniques (clustering, classification, regression, etc.) One key difference from statistics and machine learning: massive datasets and I/O-efficient algorithms 9