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Everything about Supermodular function
Class of mathematical functions
In mathematics, a supermodular function is a function on a lattice that, informally, has the property of being characterized by "increasing differences." Seen from the point of set functions, this can also be viewed as a relationship of "increasing returns", where adding more elements to a subset increases its valuation. In economics, supermodular functions are often used as a formal expression of complementarity in preferences among goods. Supermodular functions are studied and have applications in game theory, economics, lattice theory, combinatorial optimization, and machine learning. Wikipedia →
🧠Start here: a 6-step reading path
- Read the overview: Supermodular functionA 5-minute orientation
- Skim a recent paper: On streaming algorithms for maximizing a supermodular function plus a MDR-submodular function on the integer latticeInfluential work since 2022
- Read the landmark paper: Maximizing a supermodular pseudoboolean function: A polynomial algorithm for supermodular cubic functionsCited 55 times
- Go sideways: Strong set orderA closely related topic
- Go sideways: Strategic complementsA closely related topic
đź“– Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Maximizing a supermodular pseudoboolean function: A polynomial algorithm for supermodular cubic functions
Hub Location as the Minimization of a Supermodular Set Function
An approximation guarantee of the greedy descent algorithm for minimizing a supermodular set function
Computation of Sharp Bounds on the Expected Value of a Supermodular Function of Risks with Given Marginals
Covering symmetric supermodular functions by graphs
Core-based criterion for extreme supermodular functions
Supermodular Functions on Finite Lattices
Performance guarantees of a greedy algorithm for minimizing a supermodular set function on comatroid
🆕 Influential since 2022
On streaming algorithms for maximizing a supermodular function plus a MDR-submodular function on the integer lattice
Streaming algorithms for maximizing the difference of submodular functions and the sum of submodular and supermodular functions
Submodular + Supermodular function maximization with knapsack constraint
Maximizing Submodular+Supermodular Functions Subject to a Fairness Constraint
The average rectangular volume induced by supermodular aggregation functions
đź“š Books worth reading
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đź”— Related topics
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