introduction to (big) data science
DESCRIPTION
Slidedeck from our seminar about Data Science (30/09/2014) Topics covered: - What is Data Science? - What can Data Science do for your business? - How does Data Science relate to Statistics, BI and BigData? - Practical application of data mining techniques: decision trees, naive bayes, k-means clustering, a priori - Real-world case of applied data scienceTRANSCRIPT
Veldkant 33A, Kontich ● [email protected] ● www.infofarm.be
Data Science Company
Introduction to (big) data science
Infofarm - Seminar30/09/2014
Veldkant 33A, Kontich ● [email protected] ● www.infofarm.be
Agenda
• About us
• What is Data Science?
• Data Science in practice– Models– Tools
• Case study
Veldkant 33A, Kontich ● [email protected] ● www.infofarm.beData Science Company
About us
Veldkant 33A, Kontich ● [email protected] ● www.infofarm.be
InfoFarm - Company
• Data Science and BigData startup
• Part of the Cronos group– Largest indepent IT services supplier in Belgium– Organized in limited-sized highly focused competence
centers– 3000+ Consultants
• Incubated at Xplore Group, within the context of:– Java – PHP– e-commerce (Hybris, Intershop, Magento,
DrupalCommerce, ...)– Mobile development (iOS, Android, ...)– Web development (HTML5, CSS3, ...)
Veldkant 33A, Kontich ● [email protected] ● www.infofarm.be
InfoFarm - Team
• Mixed skills team– 2 Data Scientists
• Mathematics• Statistics
– 4 BigData Consultants– 1 Infra specialist
– n Cronos colleagueswith various background
• Certifications– CCDH - Cloudera Certified Hadoop Developer– CCAD - Cloudera Certified Hadoop Administrator– OCJP – Oracle Certified Java Programmer
Veldkant 33A, Kontich ● [email protected] ● www.infofarm.be
InfoFarm - Focus
• Mission– “Help our customers to excel in their business activities
by providing them with new information and insights of high business value. Identifying, extracting and using data of all types and origins; exploring, correlating and using it in new and innovative ways in order to extract meaning and business value from it.”
• Focus Domains– Data Science– Machine Learning– Big Data
Veldkant 33A, Kontich ● [email protected] ● www.infofarm.beData Science Company
Introduction: what is Data Science?
Veldkant 33A, Kontich ● [email protected] ● www.infofarm.be
What is Data Science?
• Data Science & Business decisions
• Data Science vs … – Statistics – Business Intelligence – Big Data
• What can Data Science do for your business?
• The Data Science maturity model
Veldkant 33A, Kontich ● [email protected] ● www.infofarm.be
Business decisions
• Any business requires continuous decision taking– Will we offer this customer a discount or not?– Do we need to keep extra stock for product X?– How do we answer this customer question?– At which supplier do we buy this product?– With which solution will be respond to this RFP?– Do we need to replace device X?– …
• The possible answers to these questions are based on prior experience with the business
• Each decision can turn out to be the right or wrong one, business knowledge should avoid picking the wrong ones
Veldkant 33A, Kontich ● [email protected] ● www.infofarm.be
Business decisions
– However …• Do you really know your business that well?• Hasn’t it evolved in this fast-changing world?• Are you sure your competitors aren’t making better decisions?
– You probably own a lot more information than you might realize!
• All your business processes are generating data which you can use to your advantage!• Quotes you made vs deals you won• Historical sales records• Web logs showing user activity• Social media activity referring your brand/product• Metering info on devices (internet of things)• …
Veldkant 33A, Kontich ● [email protected] ● www.infofarm.be
Types of Data
– Proprietary data• ERP, CRM, Orders, Customers, Products, etc…
– “Dark Data” – currently unused, maybe not even aware of• Unknown, but present in the company• Cost-efficient BigData tools might enable business cases using this data
– External data• Websites, social media, open data, …
– Data still to be captured• “If only we knew X or Y” …
– There might be a huge added value in “mashing up” proprietary data with public/open data!
Veldkant 33A, Kontich ● [email protected] ● www.infofarm.be
Business Knowledge vs Data Science(Intuitive knowledge vs data driven decisions)
Business KnowledgeAcquired by experience
(assumed) insights
RISK: too high bias on past experience and gut feeling
Data ScienceComplementary to business knowledge
Confirmative or new insightsData-driven decision taking
RISK: too naive data intepretation, disconnected from business
Veldkant 33A, Kontich ● [email protected] ● www.infofarm.be
Business Knowledge vs Data Science(Intuitive knowledge vs data driven decisions)
Veldkant 33A, Kontich ● [email protected] ● www.infofarm.be
Business decisions: marketing example
• Example: We want to send mailings about our new product
• Decisions to take:– Which mail to send to which customers?– We need customer segmentation!
• Risks in failing to do this correctly– Missing opportunities (not informing customers)– Annoying customers with irrelevant mailings (churn, reputation
damage, …)
Veldkant 33A, Kontich ● [email protected] ● www.infofarm.be
Business decisions: marketing example
• Business knowledge based approach– “We know our segments: -25y, 25y-35y, 35y+ groups, and
male/female”– But is this (still) true?– E.g.: do we really want to send an ad of the new iPhone to a long-time
Android user because he’s a 30-something male customer?
Veldkant 33A, Kontich ● [email protected] ● www.infofarm.be
Business decisions: marketing example
• Data-driven approach: Can we identify different segments automatically?(machine learning!)
– WEB SERVER LOGSWhich customers have already looked at similarproduct on our website?
– ORDER HISTORYWhich customers own complementary products?
– CRM INFORMATIONWhat is the typical profile of a customer that clicked through on the last e-mail campaign for a similar product?
– …
• Business knowledge and Data Science become in- and output for each other!– Ideas/hypotheses and data to be examined should be identified from business knowledge!– A/B testing can be applied to test approaches and check results– Let the data talk for itself! New business insights are generated
Veldkant 33A, Kontich ● [email protected] ● www.infofarm.be
Being a Data Scientist
• “Data Scientist – the most sexy job of the 21st century”- Thomas H. Davenport
• Data Scientist: “A person who is better at statistics than any software engineer and better at software engineering than any statistician”- Josh Wills
Veldkant 33A, Kontich ● [email protected] ● www.infofarm.be
Data Science = team work!
Veldkant 33A, Kontich ● [email protected] ● www.infofarm.be
Data Science vs Statistics
• Basic Statistics concepts– Reliability and validity– Probability– Descriptive statistics and graphics
• Inferential statistics (and hypothesis testing)– Probability distributions– Populations and samples– Confidence intervals– Correlation
• Data Science– Link with IT (tooling, scale, …)– Data preparation & hacking (get data from databases, websites, …)– Machine learning and automation– Working interactively together with business
Veldkant 33A, Kontich ● [email protected] ● www.infofarm.be
Data Science vs Business Intelligence
• Basic BI concepts: structuring data to report and query upon it– DWH, OLAP, ETL processes– Star- and snowflake schemas– Query-oriented architectures– Close to typical IT development cycle
• Data Science: working and experimenting with data to gain insights– Exploratory working– Work in a research cycle rather than development cycle– Limited investment towards analysis that might or might not
deliver– Tools designed to avoid heavy ETL (loosely structured data)– Eventually valuable analyses can be ported to BI systems
Veldkant 33A, Kontich ● [email protected] ● www.infofarm.be
Data Science vs Business Intelligence
• Using tools that are designed to support exploratory working – Not requiring strict up-front schema design– Allowing fast and cheap hypotheses testing– Open up opportunities to quickly integrate many data
sources• Excel files, Text files, Word Documents• Log files• Relational databases• Sensor data• Timeseries data• ...
• Integrations with online (OLTP) and analytical (OLAP/BI) systems– Typically for automating repetitive analysis and reporting outputs
Veldkant 33A, Kontich ● [email protected] ● www.infofarm.be
Data Science vs Big Data
• Process of statistical inference: sampling & induction
• BigData allows:– N=ALL (avoid sampling errors)
• Sampling issues can be overcome by just processing ALL available data (process massive data)
– N=1 (avoid issues with non-homogenous datasets)• Categorization becomes true personalisation: project towards ONE individual (calculate per
item)
• Significance considerations are not applicable!
Sampling Induction
Veldkant 33A, Kontich ● [email protected] ● www.infofarm.be
What can Data Science do for your business?• Extract meaning from data
– Using and combining data in ways it has never done before– Finding patterns and correlations in data from all possible sources– Detecting anomalies and changes in known patterns
• Transform data of various types into valuable information– As a basis for management decisions– As a basis for data products – That can improve your business in any way
• Build and integrate Data Products– Recommendation engines, Prediction models, Automated classification,
…
• The key point is spotting opportunities to outperform your competitors using any data available!
Veldkant 33A, Kontich ● [email protected] ● www.infofarm.be
Scientific cycle
Question
Hypothesis
Experiment(data)
Analyse results
Conclusion
• This is NOT a development cycle!
• Experimentation vs engineering
• Being a Science makes that the outcome cannot be predicted
• This makes it hard to integrate in an IT development process
Veldkant 33A, Kontich ● [email protected] ● www.infofarm.be
Scientific cycle
• Take small steps
• Formulate hypotheses
• Actually build things
• Apply A/B testing
• Even without success, you learned something!
Veldkant 33A, Kontich ● [email protected] ● www.infofarm.be
The Data Science maturity model• Don’t run before you can walk: The Data Science Maturity
modelEach level builds on the quality of the underlying step. It’s science, not magic …
– Start off by simply collecting the data you need (type, quantity, quality)– Then report on your current business (confirmative analysis)– Discover new and valuable information (exploratory analysis)– Build and test prediction models (predictive analysis)– Steer your business based on advise output from your predictions (data-
driven)
CollectDescribe
DiscoverPredict
Advise
This is were the hype
around BigData and Data
Science generates
unrealistic expectations!
Veldkant 33A, Kontich ● [email protected] ● www.infofarm.be
The Data Science maturity modelPhase Actions Examples in commerce
Collect Logging informationGathering data from different sources
Logging user actions on a websiteUsing loyalty cards to id customers
DescribeExplorative Data AnalysisBasic analytical functions
Checking quantity and quality of dataTypical reporting
Correlating data over sources
Discover Finding correlationsBuilding models Finding similarly behaving customers
PredictBuilding prediction models
Formulating expectations for the future based on past info
Predict sales figures for a new productPredict whether a certain customer will or will not buy a certain product
Advise Use prediction models to evaluate decision possibilities and pick the best
Target advertising to the right customer groups to optimize revenue
Veldkant 33A, Kontich ● [email protected] ● www.infofarm.beData Science Company
Data Science in practice
Veldkant 33A, Kontich ● [email protected] ● www.infofarm.be
Overview
• Tools: R, Hive, Pig
• Modeling methods & statistics: Decision trees, Naive Bayes, Regression, Nearest Neighbor, K-means clustering, A priori, …
Veldkant 33A, Kontich ● [email protected] ● www.infofarm.be
Tools – Data Science• Analytics: R• Visualisation: Shiny• Docs: MarkDown
• Data retrieval– CSV, TAB, ... files– Apache Hive
• Data processing– Apache Pig
• Open Source based
Veldkant 33A, Kontich ● [email protected] ● www.infofarm.be
Tools – Machine Learning• Apache Mahout
• Apache Spark Mlib
• R
• Open Source based
Veldkant 33A, Kontich ● [email protected] ● www.infofarm.be
Tools - BigData• Hadoop
– HDFS– MapReduce– Pig– Hive– Oozie– Impala– ...
• Spark– Shark, SparkR
• Platforms– Open Source Apache Hadoop– CDH - Cloudera (partnership at Cronos level)– HDP – Hortonworks Data Platform
Veldkant 33A, Kontich ● [email protected] ● www.infofarm.be
Tools - HDFS
Veldkant 33A, Kontich ● [email protected] ● www.infofarm.be
Tools – MapReduce : Wordcount
Code CodeFramework FrameworkFramework
Input Splitting Mapping Shuffling Reducing Output
Veldkant 33A, Kontich ● [email protected] ● www.infofarm.be
Modeling methods & statistics• Basic patterns
– RecommendationsBased on known taste, propose items that might be liked as well
– ClusteringDetecting correlation groups in data without using pre-defined segmentation based on business knowledge
– ClassificationAutomated labeling, acceptance/rejection of data based on probability models
• Supervised & unsupervised learning methods– k-means, naive bayes, n-nearest neighborhood, random
forrests, logistic regression, A priori, ...
Veldkant 33A, Kontich ● [email protected] ● www.infofarm.be
Modeling methods: Decision Tree• Query: which kind of fruit am I looking at
– More general: image recognition
• Clean your data– What to do with missing values?
• Insert average value• Insert special value• Delete data
– What to do with outliers?• Wrong data?
Veldkant 33A, Kontich ● [email protected] ● www.infofarm.be
Modeling methods: Decision Tree• Find most decisive variable
– Categorical variable: One leaf for each variable or one leaf for a group of categories
– Numerical variable: find best cut-off(s)
Query
ColorGreen Yellow Red
Veldkant 33A, Kontich ● [email protected] ● www.infofarm.be
Modeling methods: Decision Tree• For each leave, repeat the process:
Size is actually numerical: find size cut offs Query
Color
Size
Green
BigMedium
Small
Shape
Yellow
Round Thin
Size
Red
Medium Small
Veldkant 33A, Kontich ● [email protected] ● www.infofarm.be
Modeling methods: Decision TreeQuery
Color
Size
Green
Water-melon
Big
Green apple
MediumGrapes
Small
Shape
Yellow
Size
Round
Grape-fruit
Big
Lemon
Medium
Banana
Thin
Size
Red
apple
Medium
Try it
Small
Cherry
Sweet
Grape
Sour
Veldkant 33A, Kontich ● [email protected] ● www.infofarm.be
Modeling methods: Decision Tree - Distributed• A big advantage of the big data tools are the Distributed
processing power (run processes in parallel)
• Build your decision tree– Each leaf can be processed by another node– All your data should still be available to every mapper
• Upgrading your decision tree– Bagging trees (sampling your data)– Random Forest (sampling your variables)– Every mapper should only read a part of your data– Still in general better results than a decision tree
Veldkant 33A, Kontich ● [email protected] ● www.infofarm.be
Modeling methods: Decision Tree• QUESTION: Can we predict whether a customer will
place an order during this web session?
• Modeling (data mining)– Input: historical surfing information– Decision tree algorithm
• Loop at historical data• Find most decisive variable• For each leaf, repeat
– Avoid overfitting!
• Runtime usage– Pass current info in tree model– Allow certain discounts to increase conversion?– Put user on checkout or in-store after putting product in
basket?
Date_added > 1.5
Hour_added > 16.29
0.06 Date_added < 5.113
0.1136 0.1829
0.3273
Veldkant 33A, Kontich ● [email protected] ● www.infofarm.be
Modeling methods: Naive Bayes
• QUESTION: Will I play tennis today?
• Start with labeled data from the pastAgain clean your data!
• Often used with plain text
• Assumes that each variable is independent from all others
• Named after Bayes rule (statistics)
Veldkant 33A, Kontich ● [email protected] ● www.infofarm.be
Modeling methods: Naive BayesDay • Outlook Temperature Humidity Wind PlayTennis
D1 • Sunny Hot High Weak No
D2 • Sunny Hot High Strong No
D3 • Overcast Hot High Weak Yes
D4 • Rain Mild High Weak Yes
D5 • Rain Cool Normal Weak Yes
D6 • Rain Cool Normal Strong No
D7 • Overcast Cool Normal Strong Yes
D8 • Sunny Mild High Weak No
D9 • Sunny Cool Normal Weak Yes
D10 • Rain Mild Normal Weak Yes
D11 • Sunny Mild Normal Strong Yes
D12 • Overcast Mild High Strong Yes
D13 • Overcast Hot Normal Weak Yes
D14 • Rain Mild High Strong No
Veldkant 33A, Kontich ● [email protected] ● www.infofarm.be
Modeling methods: Naive Bayes• Consider PlayTennis problem and new instance
(sun, cool, high, strong)
Veldkant 33A, Kontich ● [email protected] ● www.infofarm.be
Modeling methods: Naive Bayes• Estimate parameters
– P(yes) = 9/14 P(no) = 5/14– P(Wind=strong|yes) = 3/9– P(Wind=strong|no) = 3/5– …
• We haveP(y)P(sun|y)P(cool|y)P(high|y)P(strong|y) =
0.005P(n)P(sun|y)P(cool|n)P(high|n)P(strong|n) =
0.021
• Therefore this new instance is classified to “no”
Veldkant 33A, Kontich ● [email protected] ● www.infofarm.be
Modeling methods: Naive Bayes - distributed• Vectorisation of trainining data (more or less
wordcount) can easily be distributed:– Each text to one mapper– Even when dealing with a large text cut your text in to peaces– Every small block of data only read once by one mapper
• Vectorisation of your new instance
• Actual prediction is a multiplication of all conditional chances
also calculation of prediction easy to distribute
Veldkant 33A, Kontich ● [email protected] ● www.infofarm.be
Modeling methods: Naive Bayes• QUESTION: Can we route incoming questions (free
text) to the right person/department?
• Modeling (data mining)– Input: historical information questions and handling
person/department– Naive bayes algorithm
• For each word or n-gram (2 or 3 words) – count occurences per file• Very valuable are words with high frequency in a single document• Very valuable are words only used in a small number of documents• Remove stopwords, generic words, etc…
• Runtime usage– Vectorize incoming document (which words/n-grams occur how
many times?)– Predict category based on comparison with historical documents
Veldkant 33A, Kontich ● [email protected] ● www.infofarm.be
Modeling methods: k-means Clustering• QUESTION: Which countries have the same type of
food consumption
• Your data is not labeled!
• You define labels for your clusters after applying the cluster algorithm
• Choose the number of clusters you are expecting– Try for different number of clusters– Run an algorithm to decide the optimal number of
clusters
• Plot your final results mapped on your principal components
Veldkant 33A, Kontich ● [email protected] ● www.infofarm.be
Modeling methods: k-means Clustering Country RedMeat WhiteMeat Eggs Milk Fish Cereals Starch Nuts Fr.Veg1 Albania 10.1 1.4 0.5 8.9 0.2 42.3 0.6 5.5 1.72 Austria 8.9 14.0 4.3 19.9 2.1 28.0 3.6 1.3 4.33 Belgium 13.5 9.3 4.1 17.5 4.5 26.6 5.7 2.1 4.04 Bulgaria 7.8 6.0 1.6 8.3 1.2 56.7 1.1 3.7 4.25 Czechoslovakia 9.7 11.4 2.8 12.5 2.0 34.3 5.0 1.1 4.06 Denmark 10.6 10.8 3.7 25.0 9.9 21.9 4.8 0.7 2.47 E Germany 8.4 11.6 3.7 11.1 5.4 24.6 6.5 0.8 3.68 Finland 9.5 4.9 2.7 33.7 5.8 26.3 5.1 1.0 1.49 France 18.0 9.9 3.3 19.5 5.7 28.1 4.8 2.4 6.510 Greece 10.2 3.0 2.8 17.6 5.9 41.7 2.2 7.8 6.511 Hungary 5.3 12.4 2.9 9.7 0.3 40.1 4.0 5.4 4.212 Ireland 13.9 10.0 4.7 25.8 2.2 24.0 6.2 1.6 2.913 Italy 9.0 5.1 2.9 13.7 3.4 36.8 2.1 4.3 6.714 Netherlands 9.5 13.6 3.6 23.4 2.5 22.4 4.2 1.8 3.715 Norway 9.4 4.7 2.7 23.3 9.7 23.0 4.6 1.6 2.716 Poland 6.9 10.2 2.7 19.3 3.0 36.1 5.9 2.0 6.617 Portugal 6.2 3.7 1.1 4.9 14.2 27.0 5.9 4.7 7.918 Romania 6.2 6.3 1.5 11.1 1.0 49.6 3.1 5.3 2.819 Spain 7.1 3.4 3.1 8.6 7.0 29.2 5.7 5.9 7.220 Sweden 9.9 7.8 3.5 24.7 7.5 19.5 3.7 1.4 2.021 Switzerland 13.1 10.1 3.1 23.8 2.3 25.6 2.8 2.4 4.922 UK 17.4 5.7 4.7 20.6 4.3 24.3 4.7 3.4 3.323 USSR 9.3 4.6 2.1 16.6 3.0 43.6 6.4 3.4 2.924 W Germany 11.4 12.5 4.1 18.8 3.4 18.6 5.2 1.5 3.825 Yugoslavia 4.4 5.0 1.2 9.5 0.6 55.9 3.0 5.7 3.2
Veldkant 33A, Kontich ● [email protected] ● www.infofarm.be
Modeling methods: k-means Clustering• Define a metric: take every variable into account as
much as all other variables
• Create random starting points (as many as clusters you expect)
• Assign each point to the closest center (or starting) point
• Calculate the center of each cluster
• Iterate the previous two steps
Veldkant 33A, Kontich ● [email protected] ● www.infofarm.be
Modeling methods: k-means clustering
Veldkant 33A, Kontich ● [email protected] ● www.infofarm.be
Modeling methods: k-means Clustering
Veldkant 33A, Kontich ● [email protected] ● www.infofarm.be
Modeling methods: k-means Clustering"cluster 1" Country RedMeat Fish Fr.VegAlbania 10.1 0.2 1.7Bulgaria 7.8 1.2 4.2Romania 6.2 1.0 2.8Yugoslavia 4.4 0.6 3.2
"cluster 2" Country RedMeat Fish Fr.VegDenmark 10.6 9.9 2.4Finland 9.5 5.8 1.4Norway 9.4 9.7 2.7Sweden 9.9 7.5 2.0
"cluster 3" Country RedMeat Fish Fr.VegCzechoslovakia 9.7 2.0 4.0E Germany 8.4 5.4 3.6Hungary 5.3 0.3 4.2Poland 6.9 3.0 6.6USSR 9.3 3.0 2.9[
"cluster 4" Country RedMeat Fish Fr.VegAustria 8.9 2.1 4.3Belgium 13.5 4.5 4.0France 18.0 5.7 6.5Ireland 13.9 2.2 2.9Netherlands 9.5 2.5 3.7Switzerland 13.1 2.3 4.9UK 17.4 4.3 3.3W Germany 11.4 3.4 3.8
"cluster 5" Country RedMeat Fish Fr.VegGreece 10.2 5.9 6.5Italy 9.0 3.4 6.7Portugal 6.2 14.2 7.9Spain 7.1 7.0 7.2
Veldkant 33A, Kontich ● [email protected] ● www.infofarm.be
Modeling methods: k-means Clustering - distributed• Calculate conditional chances
– Every mapper only needs one variable
• Assigning points to clusters:– All centers in distributed cache– Rest of the data only read once by one mapper– Calculate distances and assign to the closest center
point
• Update center points– One mapper for each cluster
Veldkant 33A, Kontich ● [email protected] ● www.infofarm.be
Modeling methods: k-means Clustering• QUESTION: In which different segments can we split
our customer base?
• Modeling (data mining)– Input: any information on the customers (CRM, ERP, Social
Media, …)– Very important to find columns to use (requires business
knowledge to formulate hypotheses!)– K-means clustering algorithm
• Define a “distance” formula to calculate how close two customers are to each other
• Define starting points for each cluster center• Iterate and re-allocate customers to a cluster, move cluster centers
• Runtime usage– Quickly check the cluster in which a new customer could be
residing
Veldkant 33A, Kontich ● [email protected] ● www.infofarm.be
Modeling methods: A priori• QUESTION: Which books might be interesting for
you, knowing which books you have read?
• Modeling (data mining)– Input: all titles of books someone has read– Make sure that same books have same titles (e.g.: drop edition
from title)– A priori algorithm
• Make baskets of read books, labeled with the reader• Identify common occuring books• Tweak your recommendation rules:
– Chose big enough support– Confidence of recommendations can be calculated– The bigger the lift, the more valuable your recommendation might be for the reader
• Runtime usage– Check if a subset of the books occur as left-hand-side of a rule
Veldkant 33A, Kontich ● [email protected] ● www.infofarm.be
Modeling methods: A priori• Data consists of books bought online
• There were more than 40000 users buying more than one book (If they only bought one book, they are not useful to make your model)
• In total they bought more than 220000 books
• Notice the permutations in the rules
• As you might expect, sequel books are bought together
Veldkant 33A, Kontich ● [email protected] ● www.infofarm.be
Modeling methods: A priori
Veldkant 33A, Kontich ● [email protected] ● www.infofarm.be
Modeling methods: A priori - distributed• Make list of books bought together (training data)
– Similar to n-grams (Naïve Bayes)– Every customer only read once by one mapper
• Make recommendations– Every mapper handles a number of rules
Veldkant 33A, Kontich ● [email protected] ● www.infofarm.be
Modeling methods: A priori• QUESTION: Which adds can I show on a website?
• Modeling (data mining)– Input: All visited links, all bought items, …– Decide what you think is important: you want to show items
others were also interested in, items others also bought, ….– A priori algorithm
• Find items which occur together• Define your support, confidence and lift you want
• Runtime usage– Check if a subset of the visited links occur as a left hand side
of a rule
Veldkant 33A, Kontich ● [email protected] ● www.infofarm.beData Science Company
Case study
Veldkant 33A, Kontich ● [email protected] ● www.infofarm.beData Science Company
End: Wrap up & Lunch