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Computing Correlation between Vectors

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Questions and Answers

What properties should a valid similarity metric hold?

Nonnegativity and symmetry

Is mutual information a valid similarity metric?

No, never

For which type of variables is the joint distribution tractable?

Discrete variables

In the equation given, what does T represent?

<p>Arbitrary function</p> Signup and view all the answers

How is the parameter T typically set in mutual information estimation?

<p>Parameterized by a deep neural network</p> Signup and view all the answers

What type of learning is Deep Graph Infomax associated with?

<p>Unsupervised learning</p> Signup and view all the answers

What is the purpose of standardizing data objects before computing correlation?

<p>To bring the data objects to a common scale</p> Signup and view all the answers

In correlation analysis, what does a correlation value of 0 indicate?

<p>No linear relationship</p> Signup and view all the answers

What does the Chi-Square test measure in categorical data analysis?

<p>The difference between observed and expected counts</p> Signup and view all the answers

How are correlation and causality related in statistical analysis?

<p>Correlation and causality are independent concepts</p> Signup and view all the answers

What is the significance of a high Chi-Square value in a Chi-Square calculation?

<p>It points to a stronger relationship between variables</p> Signup and view all the answers

What does it mean when two variables have a mutual information value of zero?

<p>They are independent of each other</p> Signup and view all the answers

Which of the following is a key step in standardizing data before applying statistical techniques like correlation analysis?

<p>Calculating the mean and standard deviation of each variable</p> Signup and view all the answers

The chi-square test is commonly used for which of the following purposes?

<p>Determining if two categorical variables are independent</p> Signup and view all the answers

Which of the following statements about causality is true?

<p>Establishing causality requires experimental or interventional data</p> Signup and view all the answers

The dot product of two vectors is used in which of the following contexts?

<p>Determining the angle between two vectors</p> Signup and view all the answers

Which of the following measures is commonly used to quantify the strength and direction of the linear relationship between two continuous variables?

<p>Pearson's correlation coefficient</p> Signup and view all the answers

In the context of correlation analysis, which of the following statements is true?

<p>Correlation analysis measures the strength of the linear relationship</p> Signup and view all the answers

Study Notes

  • Attributes can be classified into four types based on their properties: distinctness, order, addition, and multiplication.
  • Discrete attributes have a finite or countably infinite set of values, such as zip codes or counts, while continuous attributes have real numbers as values like temperature or weight.
  • Central tendency of data can be measured using mean, median, and mode, with the empirical formula relating mean, mode, and median.
  • Correlation measures the linear relationship between objects and is computed by standardizing data objects and taking their dot product.
  • Mutual information can be used as a loss function, involving joint distributions that are tractable for discrete variables, and can be parameterized using a deep neural network for estimation.

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