Definition

1. Noun:
   • A system of measurement of information based on the probabilities of the events that convey information: An "information measure" is a formal, mathematical system used to quantify the amount of information contained in a message or produced by an event. It is fundamentally based on the probabilities of possible outcomes; less probable events convey more information.

Usage

• The term "information measure" is used in technical fields like information theory, computer science, telecommunications, and statistics. It is a core concept for analyzing data compression, communication channels, and uncertainty.

Examples

• Noun:
  • Shannon's entropy is a fundamental information measure in data science.
  • When designing a communication system, engineers must select an appropriate information measure to evaluate efficiency.
  • The study compared different information measures for their ability to detect patterns in the signal.

Advanced Usage

• "to apply an information measure": to use a specific mathematical formula to calculate information content.
  • Researchers applied a novel information measure to analyze the genomic data.
• "under a given information measure": according to the rules of a specific quantification system.
  • Under this information measure, a completely random signal carries the maximum information.

Variants and Related Words

• Entropy (n): A specific and common information measure quantifying the average level of "information," "surprise," or "uncertainty" inherent in a random variable's possible outcomes.
  • The entropy of the source determines the theoretical limit for lossless compression.
• Mutual Information (n): An information measure that quantifies the amount of information obtained about one random variable through another random variable.
  • Mutual information is used in feature selection to find the most relevant variables.
• Kullback–Leibler Divergence (n): An information measure of how one probability distribution diverges from a second, reference probability distribution.
  • The Kullback-Leibler divergence is not a true distance metric but is a vital information measure.

Synonyms

• Information metric: A synonym often used interchangeably in technical contexts.
• Quantification of information: A descriptive phrase for the general concept.

Related Phrases

• Measure of information content: A descriptive phrase equivalent to "information measure."
  • Bit is a unit for a measure of information content.
• Information-theoretic measure: A phrase emphasizing the origin of the concept in information theory.
  • We used an information-theoretic measure to assess the complexity of the sequence.

Noun

1. a system of measurement of information based on the probabilities of the events that convey information