Research any topic before you write.

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

Submodular set function

In mathematics, a submodular set function (also known as a submodular function) is a set function that, informally, describes the relationship between a set of inputs and an output, where adding more of one input has a decreasing additional benefit (diminishing returns). The natural diminishing returns property which makes them suitable for many…

Applications, Optimization problems & Types and examples of submodular functions

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 Submodular set function. 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.

Optimization problems

ConvexConcave functionsOptimization problemPolynomial timeStrongly-polynomial
13 related topics

Types and examples of submodular functions

Budget-additive functionsMatroidEntropyRandom variablesEntropic vector
6 related topics

Continuous extensions of submodular set functions

ExtensionContinuous functionLászló LovászUniform distributionIf and only if
6 related topics

Applications

EconomicsComputer vision
2 related topics

Topics to explore

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

Overview

Definition

Types and examples of submodular functions

Continuous extensions of submodular set functions

Properties

Optimization problems

Applications

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

Submodular set function

Nodes57
Edges56
Triples8
Avg. degree1.96
Density0.035088
Components1

How this topic connects Entity context

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

Submodular set function

Top relations

related to Continuous extensions of submodular set functions · 5
Submodular set function → For, Formally, Often, Omega, To
related to Submodular set function minimization · 3
Submodular set function → Computing, NP-hard, The

Important terminology Word statistics

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

Important terminology

submodular displaystyle function set functions omega also problem extension subseteq geq mathbf approximation convex defined consider monotone non-monotone minimization problems

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Submodular set functionrelated to Continuous extensions of submodular set functionsOften0.60section
Submodular set functionrelated to Continuous extensions of submodular set functionsFor0.60section
Submodular set functionrelated to Continuous extensions of submodular set functionsTo0.60section
Submodular set functionrelated to Continuous extensions of submodular set functionsFormally0.60section
Submodular set functionrelated to Continuous extensions of submodular set functionsOmega0.60section
Submodular set functionrelated to Submodular set function minimizationThe0.60section
Submodular set functionrelated to Submodular set function minimizationComputing0.60section
Submodular set functionrelated to Submodular set function minimizationNP-hard0.60section

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.