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The KL distance is also known as what other measure?Select one:a.Mutual informationb.Joint entropyc.Shannon entropyd.Cross-entropy

Question

The KL distance is also known as what other measure?

Select one:

  • a. Mutual information
  • b. Joint entropy
  • c. Shannon entropy
  • d. Cross-entropy
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Solution

The KL distance, or Kullback-Leibler divergence, is also known as mutual information in certain contexts. While it quantifies the difference between two probability distributions, it is often used to assess how much information one distribution contains about another.

To clarify the choices:

  1. Mutual Information: Measures the amount of information that knowing the value of one variable provides about another variable.
  2. Joint Entropy: Refers to the total entropy of a joint distribution of two random variables.
  3. Shannon Entropy: Measures the average amount of information produced by a stochastic source of data.
  4. Cross-entropy: Measures the difference between two probability distributions and is closely related to KL divergence.

In this context, the correct answer is a. Mutual Information.

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