This document provides an overview of key tasks in data preprocessing for knowledge discovery and data mining. It discusses why preprocessing is important, as real-world data is often dirty, noisy, incomplete and inconsistent. The major tasks covered are data cleaning, integration and transformation, reduction, discretization and concept hierarchy generation. Data cleaning involves techniques for handling missing data, noisy data and inconsistent data. Data reduction aims to reduce data volume while preserving analytical results. Methods discussed include binning, clustering, dimensionality reduction and sampling. Discretization converts continuous attributes to discrete intervals.
This presentation gives the idea about Data Preprocessing in the field of Data Mining. Images, examples and other things are adopted from "Data Mining Concepts and Techniques by Jiawei Han, Micheline Kamber and Jian Pei "
Data preprocessing techniques are applied before mining. These can improve the overall quality of the patterns mined and the time required for the actual mining.
Some important data preprocessing that must be needed before applying the data mining algorithm to any data sets are completely described in these slides.
This presentation gives the idea about Data Preprocessing in the field of Data Mining. Images, examples and other things are adopted from "Data Mining Concepts and Techniques by Jiawei Han, Micheline Kamber and Jian Pei "
Data preprocessing techniques are applied before mining. These can improve the overall quality of the patterns mined and the time required for the actual mining.
Some important data preprocessing that must be needed before applying the data mining algorithm to any data sets are completely described in these slides.
Data preprocessing techniques
See my Paris applied psychology conference paper here
https://www.slideshare.net/jasonrodrigues/paris-conference-on-applied-psychology
or
https://prezi.com/view/KBP8JnekVH9LkLOiKY3w/
Data preprocessing techniques
See my Paris applied psychology conference paper here
https://www.slideshare.net/jasonrodrigues/paris-conference-on-applied-psychology
or
https://prezi.com/view/KBP8JnekVH9LkLOiKY3w/
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June 3, 2024 Anti-Semitism Letter Sent to MIT President Kornbluth and MIT Cor...Levi Shapiro
Letter from the Congress of the United States regarding Anti-Semitism sent June 3rd to MIT President Sally Kornbluth, MIT Corp Chair, Mark Gorenberg
Dear Dr. Kornbluth and Mr. Gorenberg,
The US House of Representatives is deeply concerned by ongoing and pervasive acts of antisemitic
harassment and intimidation at the Massachusetts Institute of Technology (MIT). Failing to act decisively to ensure a safe learning environment for all students would be a grave dereliction of your responsibilities as President of MIT and Chair of the MIT Corporation.
This Congress will not stand idly by and allow an environment hostile to Jewish students to persist. The House believes that your institution is in violation of Title VI of the Civil Rights Act, and the inability or
unwillingness to rectify this violation through action requires accountability.
Postsecondary education is a unique opportunity for students to learn and have their ideas and beliefs challenged. However, universities receiving hundreds of millions of federal funds annually have denied
students that opportunity and have been hijacked to become venues for the promotion of terrorism, antisemitic harassment and intimidation, unlawful encampments, and in some cases, assaults and riots.
The House of Representatives will not countenance the use of federal funds to indoctrinate students into hateful, antisemitic, anti-American supporters of terrorism. Investigations into campus antisemitism by the Committee on Education and the Workforce and the Committee on Ways and Means have been expanded into a Congress-wide probe across all relevant jurisdictions to address this national crisis. The undersigned Committees will conduct oversight into the use of federal funds at MIT and its learning environment under authorities granted to each Committee.
• The Committee on Education and the Workforce has been investigating your institution since December 7, 2023. The Committee has broad jurisdiction over postsecondary education, including its compliance with Title VI of the Civil Rights Act, campus safety concerns over disruptions to the learning environment, and the awarding of federal student aid under the Higher Education Act.
• The Committee on Oversight and Accountability is investigating the sources of funding and other support flowing to groups espousing pro-Hamas propaganda and engaged in antisemitic harassment and intimidation of students. The Committee on Oversight and Accountability is the principal oversight committee of the US House of Representatives and has broad authority to investigate “any matter” at “any time” under House Rule X.
• The Committee on Ways and Means has been investigating several universities since November 15, 2023, when the Committee held a hearing entitled From Ivory Towers to Dark Corners: Investigating the Nexus Between Antisemitism, Tax-Exempt Universities, and Terror Financing. The Committee followed the hearing with letters to those institutions on January 10, 202
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Artificial Intelligence (AI) technologies such as Generative AI, Image Generators and Large Language Models have had a dramatic impact on teaching, learning and assessment over the past 18 months. The most immediate threat AI posed was to Academic Integrity with Higher Education Institutes (HEIs) focusing their efforts on combating the use of GenAI in assessment. Guidelines were developed for staff and students, policies put in place too. Innovative educators have forged paths in the use of Generative AI for teaching, learning and assessments leading to pockets of transformation springing up across HEIs, often with little or no top-down guidance, support or direction.
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The empire's roots lie in the city of Rome, founded, according to legend, by Romulus in 753 BCE. Over centuries, Rome evolved from a small settlement to a formidable republic, characterized by a complex political system with elected officials and checks on power. However, internal strife, class conflicts, and military ambitions paved the way for the end of the Republic. Julius Caesar’s dictatorship and subsequent assassination in 44 BCE created a power vacuum, leading to a civil war. Octavian, later Augustus, emerged victorious, heralding the Roman Empire’s birth.
Under Augustus, the empire experienced the Pax Romana, a 200-year period of relative peace and stability. Augustus reformed the military, established efficient administrative systems, and initiated grand construction projects. The empire's borders expanded, encompassing territories from Britain to Egypt and from Spain to the Euphrates. Roman legions, renowned for their discipline and engineering prowess, secured and maintained these vast territories, building roads, fortifications, and cities that facilitated control and integration.
The Roman Empire’s society was hierarchical, with a rigid class system. At the top were the patricians, wealthy elites who held significant political power. Below them were the plebeians, free citizens with limited political influence, and the vast numbers of slaves who formed the backbone of the economy. The family unit was central, governed by the paterfamilias, the male head who held absolute authority.
Culturally, the Romans were eclectic, absorbing and adapting elements from the civilizations they encountered, particularly the Greeks. Roman art, literature, and philosophy reflected this synthesis, creating a rich cultural tapestry. Latin, the Roman language, became the lingua franca of the Western world, influencing numerous modern languages.
Roman architecture and engineering achievements were monumental. They perfected the arch, vault, and dome, constructing enduring structures like the Colosseum, Pantheon, and aqueducts. These engineering marvels not only showcased Roman ingenuity but also served practical purposes, from public entertainment to water supply.
1. CIS664-Knowledge Discovery
and Data Mining
Data Preprocessing
Vasileios Megalooikonomou
Dept. of Computer and Information Sciences
Temple University
(based on notes by Jiawei Han and Micheline Kamber)
2. Agenda
• Why data preprocessing?
• Data cleaning
• Data integration and transformation
• Data reduction
• Discretization and concept hierarchy generation
• Summary
3. Why Data Preprocessing?
• Data in the real world is dirty
– incomplete: lacking attribute values, lacking certain attributes
of interest, or containing only aggregate data
– noisy: containing errors or outliers
– inconsistent: containing discrepancies in codes or names
• No quality data, no quality mining results!
– Quality decisions must be based on quality data
– Data warehouse needs consistent integration of quality data
• A multi-dimensional measure of data quality:
– A well-accepted multi-dimensional view:
• accuracy, completeness, consistency, timeliness, believability, value
added, interpretability, accessibility
– Broad categories:
• intrinsic, contextual, representational, and accessibility.
4. Major Tasks in Data Preprocessing
• Data cleaning
– Fill in missing values, smooth noisy data, identify or remove outliers, and
resolve inconsistencies
• Data integration
– Integration of multiple databases, data cubes, files, or notes
• Data transformation
– Normalization (scaling to a specific range)
– Aggregation
• Data reduction
– Obtains reduced representation in volume but produces the same or similar
analytical results
– Data discretization: with particular importance, especially for numerical data
– Data aggregation, dimensionality reduction, data compression,generalization
6. Agenda
• Why preprocess the data?
• Data cleaning
• Data integration and transformation
• Data reduction
• Discretization and concept hierarchy generation
• Summary
7. Data Cleaning
• Data cleaning tasks
– Fill in missing values
– Identify outliers and smooth out noisy data
– Correct inconsistent data
8. Missing Data
• Data is not always available
– E.g., many tuples have no recorded value for several attributes, such
as customer income in sales data
• Missing data may be due to
– equipment malfunction
– inconsistent with other recorded data and thus deleted
– data not entered due to misunderstanding
– certain data may not be considered important at the time of entry
– not register history or changes of the data
• Missing data may need to be inferred
9. How to Handle Missing Data?
• Ignore the tuple: usually done when class label is missing (assuming the
task is classification—not effective in certain cases)
• Fill in the missing value manually: tedious + infeasible?
• Use a global constant to fill in the missing value: e.g.,
“unknown”, a new class?!
• Use the attribute mean to fill in the missing value
• Use the attribute mean for all samples of the same class to fill
in the missing value: smarter
• Use the most probable value to fill in the missing value:
inference-based such as regression, Bayesian formula, decision tree
10. Noisy Data
• Q: What is noise?
• A: Random error in a measured variable.
• Incorrect attribute values may be due to
–
–
–
–
–
faulty data collection instruments
data entry problems
data transmission problems
technology limitation
inconsistency in naming convention
• Other data problems which requires data cleaning
– duplicate records
– incomplete data
– inconsistent data
11. How to Handle Noisy Data?
• Binning method:
– first sort data and partition into (equi-depth) bins
– then one can smooth by bin means, smooth by bin median,
smooth by bin boundaries, etc.
– used also for discretization (discussed later)
• Clustering
– detect and remove outliers
• Semi-automated method: combined computer and
human inspection
– detect suspicious values and check manually
• Regression
– smooth by fitting the data into regression functions
12. Simple Discretization Methods: Binning
• Equal-width (distance) partitioning:
– It divides the range into N intervals of equal size: uniform
grid
– if A and B are the lowest and highest values of the attribute,
the width of intervals will be: W = (B-A)/N.
– The most straightforward
– But outliers may dominate presentation
– Skewed data is not handled well.
• Equal-depth (frequency) partitioning:
– It divides the range into N intervals, each containing
approximately same number of samples
– Good data scaling
– Managing categorical attributes can be tricky.
13. Binning Methods for Data Smoothing
* Sorted data for price (in dollars): 4, 8, 9, 15, 21, 21, 24, 25,
26, 28, 29, 34
* Partition into (equi-depth) bins:
- Bin 1: 4, 8, 9, 15
- Bin 2: 21, 21, 24, 25
- Bin 3: 26, 28, 29, 34
* Smoothing by bin means:
- Bin 1: 9, 9, 9, 9
- Bin 2: 23, 23, 23, 23
- Bin 3: 29, 29, 29, 29
* Smoothing by bin boundaries:
- Bin 1: 4, 4, 4, 15
- Bin 2: 21, 21, 25, 25
- Bin 3: 26, 26, 26, 34
16. How to Handle Inconsistent Data?
• Manual correction using external references
• Semi-automatic using various tools
– To detect violation of known functional
dependencies and data constraints
– To correct redundant data
17. Agenda
• Why preprocess the data?
• Data cleaning
• Data integration and transformation
• Data reduction
• Discretization and concept hierarchy generation
• Summary
18. Data Integration
• Data integration:
– combines data from multiple sources into a coherent store
• Schema integration
– integrate metadata from different sources
– Entity identification problem: identify real world entities from
multiple data sources, e.g., A.cust-id ≡ B.cust-#
• Detecting and resolving data value conflicts
– for the same real world entity, attribute values from different
sources are different
– possible reasons: different representations, different scales,
e.g., metric vs. British units, different currency
19. Handling Redundant Data in
Data Integration
• Redundant data occur often when integrating multiple DBs
– The same attribute may have different names in different databases
– One attribute may be a “derived” attribute in another table, e.g.,
annual revenue
• Redundant data may be able to be detected by correlational
analysis
rA, B
Σ( A − A)( B − B )
=
(n − 1)σ Aσ B
• Careful integration can help reduce/avoid redundancies and
inconsistencies and improve mining speed and quality
20. Data Transformation
• Smoothing: remove noise from data (binning,
clustering, regression)
• Aggregation: summarization, data cube construction
• Generalization: concept hierarchy climbing
• Normalization: scaled to fall within a small,
specified range
– min-max normalization
– z-score normalization
– normalization by decimal scaling
• Attribute/feature construction
– New attributes constructed from the given ones
21. Data Transformation: Normalization
Particularly useful for classification (NNs, distance measurements,
nn classification, etc)
• min-max normalization
v − min
v' =
(new _ max − new _ min ) + new _ min
max − min
• z-score normalization
v −mean
v' =
stand _ dev
A
A
A
A
A
A
A
• normalization by decimal scaling
v
v' = j
10
Where j is the smallest integer such that Max(| v ' |)<1
A
22. Agenda
• Why preprocess the data?
• Data cleaning
• Data integration and transformation
• Data reduction
• Discretization and concept hierarchy generation
• Summary
23. Data Reduction
• Problem:
Data Warehouse may store terabytes of data:
Complex data analysis/mining may take a very
long time to run on the complete data set
• Solution?
– Data reduction…
24. Data Reduction
•Obtains a reduced representation of the data
set that is much smaller in volume but yet
produces the same (or almost the same)
analytical results
•Data reduction strategies
–Data cube aggregation
–Dimensionality reduction
–Data compression
–Numerosity reduction
–Discretization and concept hierarchy generation
25. Data Cube Aggregation
• Multiple levels of aggregation in data cubes
– Further reduce the size of data to deal with
• Reference appropriate levels
– Use the smallest representation capable to solve the
task
• Queries regarding aggregated information should
be answered using data cube, when possible
26. Dimensionality Reduction
• Problem: Feature selection (i.e., attribute subset selection):
– Select a minimum set of features such that the probability
distribution of different classes given the values for those features
is as close as possible to the original distribution given the values
of all features
– Nice side-effect: reduces # of attributes in the discovered patterns
(which are now easier to understand)
• Solution: Heuristic methods (due to exponential # of
choices) usually greedy:
–
–
–
–
step-wise forward selection
step-wise backward elimination
combining forward selection and backward elimination
decision-tree induction
27. Example of Decision Tree Induction
nonleaf nodes: tests
branches:
outcomes of tests
leaf nodes:
class prediction
A4 ?
A6?
A1?
Class 1
>
Initial attribute set:
{A1, A2, A3, A4, A5, A6}
Class 2
Class 1
Reduced attribute set: {A1, A4, A6}
Class 2
28. Data Compression
• String compression
– There are extensive theories and well-tuned algorithms
– Typically lossless
– But only limited manipulation is possible without expansion
• Audio/video, image compression
– Typically lossy compression, with progressive refinement
– Sometimes small fragments of signal can be reconstructed
without reconstructing the whole
• Time sequence is not audio
– Typically short and vary slowly with time
30. Wavelet Transforms
• Discrete wavelet transform (DWT):
linear signal processing
Haar2
Daubechie4
• Compressed approximation: store only a small fraction of
the strongest of the wavelet coefficients
• Similar to discrete Fourier transform (DFT), but better lossy
compression, localized in space (conserves local details)
• Method (hierarchical pyramid algorithm):
– Length, L, must be an integer power of 2 (padding with 0s, when necessary)
– Each transform has 2 functions:
• smoothing (e.g., sum, weighted avg.), weighted difference
– Applies to pairs of data, resulting in two sets of data of length L/2
– Applies the two functions recursively, until reaches the desired length
31. Principal Component Analysis (PCA)
Karhunen-Loeve (K-L) method
• Given N data vectors from k-dimensions, find
c <= k orthogonal vectors that can be best used
to represent data
– The original data set is reduced (projected) to one
consisting of N data vectors on c principal components
(reduced dimensions)
• Each data vector is a linear combination of the c
principal component vectors
• Works for ordered and unordered attributes
• Used when the number of dimensions is large
32. Principal Component Analysis
•The principal components (new set of axes) give important information about
variance.
•Using the strongest components one can reconstruct a good approximation of the
X2
original signal.
Y1
Y2
X1
33. Numerosity Reduction
• Parametric methods
– Assume the data fits some model, estimate model
parameters, store only the parameters, and discard the
data (except possible outliers)
– E.g.: Log-linear models: obtain value at a point in m-D
space as the product on appropriate marginal subspaces
• Non-parametric methods
– Do not assume models
– Major families: histograms, clustering, sampling
34. Regression and Log-Linear Models
• Linear regression: Data are modeled to fit a straight
line:
– Often uses the least-square method to fit the line
• Multiple regression: allows a response variable y to
be modeled as a linear function of multidimensional
feature vector (predictor variables)
• Log-linear model: approximates discrete
multidimensional joint probability distributions
35. Regression Analysis and Log-Linear Models
• Linear regression: Y = α + β X
– Two parameters , α and β specify the line and are to be
estimated by using the data at hand.
– using the least squares criterion to the known values of Y1,
Y2, …, X1, X2, ….
• Multiple regression: Y = b0 + b1 X1 + b2 X2.
– Many nonlinear functions can be transformed into the above.
• Log-linear models:
– The multi-way table of joint probabilities is approximated
by a product of lower-order tables.
– Probability: p(a, b, c, d) = αab βacχad δbcd
36. Histograms
• Approximate data
distributions
• Divide data into buckets
and store average (sum) for
each bucket
• A bucket represents an
attribute-value/frequency
pair
• Can be constructed
optimally in one dimension
using dynamic
programming
• Related to quantization
problems.
37. Clustering
• Partition data set into clusters, and store cluster representation only
• Quality of clusters measured by their diameter (max distance
between any two objects in the cluster) or centroid distance (avg.
distance of each cluster object from its centroid)
• Can be very effective if data is clustered but not if data is “smeared”
• Can have hierarchical clustering (possibly stored in multidimensional index tree structures (B+-tree, R-tree, quad-tree, etc))
• There are many choices of clustering definitions and clustering
algorithms (further details later)
38. Sampling
• Allow a mining algorithm to run in complexity that is
potentially sub-linear to the size of the data
• Cost of sampling: proportional to the size of the sample,
increases linearly with the number of dimensions
• Choose a representative subset of the data
– Simple random sampling may have very poor performance in the
presence of skew
• Develop adaptive sampling methods
– Stratified sampling:
• Approximate the percentage of each class (or subpopulation of
interest) in the overall database
• Used in conjunction with skewed data
• Sampling may not reduce database I/Os (page at a time).
• Sampling: natural choice for progressive refinement of a
reduced data set.
41. Hierarchical Reduction
• Use multi-resolution structure with different degrees of
reduction
• Hierarchical clustering is often performed but tends to
define partitions of data sets rather than “clusters”
• Parametric methods are usually not amenable to
hierarchical representation
• Hierarchical aggregation
– An index tree hierarchically divides a data set into partitions
by value range of some attributes
– Each partition can be considered as a bucket
– Thus an index tree with aggregates stored at each node is a
hierarchical histogram
42. Agenda
• Why preprocess the data?
• Data cleaning
• Data integration and transformation
• Data reduction
• Discretization and concept hierarchy generation
• Summary
43. Discretization/Quantization
• Three types of attributes:
– Nominal — values from an unordered set
– Ordinal — values from an ordered set
– Continuous — real numbers
• Discretization/Quantization:
divide the range of a continuous attribute into intervals
x1
x2
x3
x4
x5
y1
y2
y3
y4
y5
y6
– Some classification algorithms only accept categorical
attributes.
– Reduce data size by discretization
– Prepare for further analysis
44. Discretization and Concept Hierarchy
• Discretization
– reduce the number of values for a given continuous
attribute by dividing the range of the attribute into
intervals. Interval labels can then be used to replace actual
data values.
• Concept Hierarchies
– reduce the data by collecting and replacing low level
concepts (such as numeric values for the attribute age) by
higher level concepts (such as young, middle-aged, or
senior).
45. Discretization and concept hierarchy
generation for numeric data
• Hierarchical and recursive decomposition using:
– Binning (data smoothing)
– Histogram analysis (numerosity reduction)
– Clustering analysis (numerosity reduction)
• Entropy-based discretization
• Segmentation by natural partitioning
46. Entropy-Based Discretization
• Given a set of samples S, if S is partitioned into two intervals S1
and S2 using threshold T on the value of |attribute A, the information
| S1 |
S 2 | E( )
I the ) =
E ( is:
gain resulting from( S , T partitioningS 1) +
S2
|S|
|S|
m
where the entropy function E for a given set is calculated based on
E ( S ) = samples in pi )
the class distribution of 1the −∑ pi log 2 (the set. Given m classes the
i =1
entropy of S1 is:
where pi is the probability of class i in S1.
• The threshold that maximizes the information gain over all possible
thresholds is selected as a binary discretization.
E (S ) − I (S , T ) < δ
• The process is recursively applied to partitions obtained until some
stopping criterion is met, e.g.,
47. Segmentation by natural partitioning
• 3-4-5 rule can be used to segment numeric data into
relatively uniform, “natural” intervals.
• It partitions a given range into 3,4, or 5 equiwidth
intervals recursively level-by-level based on the value
range of the most significant digit.
* If an interval covers 3, 6, 7 or 9 distinct values at the most
significant digit, partition the range into 3 equi-width intervals
* If it covers 2, 4, or 8 distinct values at the most significant digit,
partition the range into 4 intervals
* If it covers 1, 5, or 10 distinct values at the most significant digit,
partition the range into 5 intervals
49. Concept hierarchy generation for
categorical data
• Categorical data: no ordering among values
• Specification of a partial ordering of attributes
explicitly at the schema level by users or experts
• Specification of a portion of a hierarchy by
explicit data grouping
• Specification of a set of attributes, but not of their
partial ordering
• Specification of only a partial set of attributes
50. Concept hierarchy generation w/o data
semantics - Specification of a set of attributes
Concept hierarchy can be automatically generated
based on the number of distinct values per attribute
in the given attribute set. The attribute with the
most distinct values is placed at the lowest level of
the hierarchy (limitations?)
country
15 distinct values
province_or_ state
65 distinct
values
3567 distinct values
city
street
674,339 distinct values
51. Agenda
• Why preprocess the data?
• Data cleaning
• Data integration and transformation
• Data reduction
• Discretization and concept hierarchy generation
• Summary
52. Summary
• Data preparation is a big issue for both warehousing
and mining
• Data preparation includes
– Data cleaning and data integration
– Data reduction and feature selection
– Discretization
• A lot a methods have been developed but still an
active area of research