Research any topic before you write.

Find related topics. | Discover entities. | See connections. | Build a topical map.

Conditional mutual information

In probability theory, particularly information theory, the conditional mutual information is, in its most basic form, the expected value of the mutual information of two random variables given the value of a third.

Art, More general definition & Properties

Use the mouse wheel or two fingers (on touchscreens) to zoom in and out of the map.

Research this topic

Explore the main themes, entities and connections around Conditional mutual information. Start with the topic map, then use the sections below for research and deeper semantic analysis.

Explore this topic

Start with a few of the strongest sections from the source topic. These are research directions, not a list of keywords you must use.

Topics to explore

Browse the full topic structure. Each item opens a new analysis centered on that subject.

Overview

Definition

In terms of PMFs for discrete distributions

In terms of PDFs for continuous distributions

Some identities

More general definition

Note on notation

Properties

Advanced semantic analysis

Deeper signals for content research, entity SEO and topical coverage. The plain-language headings explain what each technical view is useful for.

Map overview Semantic statistics

Conditional mutual information

Nodes38
Edges37
Triples15
Avg. degree1.95
Density0.052632
Components1

How this topic connects Entity context

See the strongest relationship patterns around the current topic before diving into the raw triples.

Conditional mutual information

Top relations

related to Nonnegativity · 4
Conditional mutual information → Conditional, It, Shannon-type, This
related to More general definition · 3
Conditional mutual information → Borel-measurable, Let, Omega
related to Definition · 2
Conditional mutual information → For, KL
related to In terms of PDFs for continuous distributions · 2
Conditional mutual information → For, This
related to In terms of PMFs for discrete distributions · 2
Conditional mutual information → For, This
related to Chain rule for mutual information · 1
Conditional mutual information → The
related to Interaction information · 1
Conditional mutual information → The

Important terminology Word statistics

Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.

Important terminology

displaystyle information random mutual conditional variables probability mathcal joint mathrm defined continuous support sets define may distribution mathfrak measure theory

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Conditional mutual informationrelated to Chain rule for mutual informationThe0.60section
Conditional mutual informationrelated to DefinitionFor0.60section
Conditional mutual informationrelated to DefinitionKL0.60section
Conditional mutual informationrelated to In terms of PDFs for continuous distributionsFor0.60section
Conditional mutual informationrelated to In terms of PDFs for continuous distributionsThis0.60section
Conditional mutual informationrelated to In terms of PMFs for discrete distributionsFor0.60section
Conditional mutual informationrelated to In terms of PMFs for discrete distributionsThis0.60section
Conditional mutual informationrelated to Interaction informationThe0.60section
Conditional mutual informationrelated to More general definitionLet0.60section
Conditional mutual informationrelated to More general definitionOmega0.60section
Conditional mutual informationrelated to More general definitionBorel-measurable0.60section
Conditional mutual informationrelated to NonnegativityIt0.60section

Related concept clusters Concept neighborhoods

These clusters group vocabulary that occurs around closely connected concepts in the source material.

    Connections between topic areas Semantic bridges

    Bridges can reveal useful research angles that are easy to miss in a flat list of related terms.

    Min side: 3
    For writers, content strategists, SEOs, marketers and creators — from quick topic research to advanced semantic analysis.