Data Reduction Strategies Quiz
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Questions and Answers

What is the purpose of discretization methods in numeric data?

  • To transform continuous data into categorical data (correct)
  • To reduce data dimensionality
  • To improve data visualization
  • To remove outliers from the data

What is the main characteristic of a Data Warehouse?

  • It is a database management system
  • It is a collection of data from various sources (correct)
  • It is a software tool for data visualization
  • It is a methodology for data analysis

What is the primary goal of data summarization?

  • To improve data accuracy
  • To reduce data complexity
  • To provide a concise representation of data (correct)
  • To identify data outliers

Which approach to clustering is based on the idea of dividing the data into a set of non-overlapping clusters?

<p>Partitioning Approach (B)</p> Signup and view all the answers

What is the key difference between the K-means Algorithm and the Hierarchical Approach?

<p>The number of clusters is predetermined in K-means (A)</p> Signup and view all the answers

What is the primary advantage of using the Hierarchical Approach over the K-means Algorithm?

<p>It does not require the number of clusters to be predetermined (B)</p> Signup and view all the answers

What is the purpose of partitioning in data clustering?

<p>To divide the data into non-overlapping clusters (C)</p> Signup and view all the answers

What is the primary goal of data warehousing?

<p>To support business intelligence and analytics (D)</p> Signup and view all the answers

What is the key benefit of using data summarization in data analysis?

<p>It provides a concise representation of data (A)</p> Signup and view all the answers

What is the primary characteristic of a Data Warehouse?

<p>It is a collection of data from various sources (B)</p> Signup and view all the answers

Study Notes

Data Reduction Strategies

  • Dimensionality reduction removes unimportant attributes, and methods include wavelet transforms, PCA, and feature subset selection.
  • Numerosity reduction (Data Reduction) techniques include regression and log-linear models, histograms, clustering, sampling, and data cube aggregation.
  • Data compression is another strategy.

Principal Component Analysis (PCA)

  • Finds a projection that captures the largest amount of variation in data.
  • Projects original data onto a smaller space, resulting in dimensionality reduction.

Example of PCA

  • Calculate the dot product of two vectors (d1 and d2) to find the cosine of the angle between them.
  • Calculate the magnitude of each vector using the formula ||d|| = (sum of squares of each element)^(1/2).

Correlation

  • Measures the linear relationship between objects.
  • Computes correlation by standardizing data objects (p and q) and taking their dot product.
  • Formula: correlation(p, q) = p' ∙ q'.

Data Exploration & Visualization

Summary Statistics

  • Numbers that summarize properties of the data, including frequency, location, and spread.
  • Examples: location - mean, spread - standard deviation.
  • Most summary statistics can be calculated in a single pass through the data.

Frequency and Mode

  • Frequency of an attribute value is the percentage of time the value occurs in the data set.
  • For numeric data, use discretization methods.

Data Warehousing and On-line Analytical

What is a Data Warehouse?

  • Defined in many different ways, but not rigorously.

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Description

Test your knowledge of data reduction strategies, including dimensionality reduction, numerosity reduction, and data compression. Learn about techniques such as PCA, wavelet transforms, and feature subset selection.

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