Dimensionality for Machine Learning in Business
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Questions and Answers

When the count of distinct values in a dataset approaches the number of records, what is the likely consequence?

  • The computational complexity of processing the data is significantly reduced.
  • Information derived from the data is enhanced, leading to more accurate models.
  • Data sparcity decreases, improving the reliability of statistical analysis.
  • Meaning derived from the data diminishes due to increased uniqueness. (correct)

Which of the following strategies is most suitable for resolving issues caused by high uniqueness in a dataset?

  • Applying one-hot encoding to categorical variables.
  • Using imputation techniques to fill missing values.
  • Increasing the precision of numerical values.
  • Discretization followed by binarization of continuous variables. (correct)

How does an increase in dimensionality typically affect the sparcity of a dataset?

  • Sparsity increases because the available data is spread thinly across a larger feature space. (correct)
  • Sparsity decreases because the data points become more densely packed.
  • Sparsity initially increases but then decreases after a certain dimensionality threshold is reached.
  • Dimensionality has no direct impact on data sparcity.

What is the primary goal of Principal Component Analysis (PCA)?

<p>To reduce dimensionality while preserving as much variance as possible. (C)</p> Signup and view all the answers

In the context of machine learning, what is one potential drawback of high dimensionality?

<p>It can lead to increased computational costs and model complexity. (C)</p> Signup and view all the answers

Flashcards

Uniqueness in Data

When the number of unique values in a feature approaches the total number of records, the feature's ability to provide meaningful information decreases.

Discretization

A process of transforming continuous variables into discrete or categorical variables, often by grouping values into bins or categories.

Dimensionality & Sparsity

When data becomes sparse as the number of dimensions (features) increases. This can lead to issues with model performance.

Principal Component Analysis (PCA)

A technique to reduce the dimensionality of data by transforming it into a new set of uncorrelated variables called principal components. These components capture the most important information in the data.

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Correlation

A statistical measure that expresses the extent to which two variables are linearly related, meaning they change together at a constant rate.

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Study Notes

  • Lecture II focuses on Dimensionality for Machine Learning in Business with Michael Deamer at Fordham Gabelli School of Business

Uniqueness

  • Meaning decreases as the count of distinct values nears the number of records
  • Information decreases if the number gets close to 0

Resolving Uniqueness

  • Includes examples of data transformation such as discretization to binarization

Correlation

  • Demonstrates visual representations of correlation matrices for different features of the data

Dimensionality

  • As the number of dimensions increases, so does the sparcity of the data

Principle Component Analysis

  • Demonstrates a method for reducing the dimensionality of the data, creating new variable components
  • Includes a 3D visual reference

To Do:

  • Includes to dos such as Lab 1, Homework 1 and recommended reading of 6.2

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Description

Lecture on dimensionality for machine learning in business. The lecture includes discussion of uniqueness and correlation, and demonstrates methods for dimensionality reduction. Principle Component Analysis is visually demonstrated.

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