منابع مشابه
On fast approximate submodular minimization
We are motivated by an application to extract a representative subset of machine learning training data and by the poor empirical performance we observe of the popular minimum norm algorithm. In fact, for our application, minimum norm can have a running time of about O(n) (O(n) oracle calls). We therefore propose a fast approximate method to minimize arbitrary submodular functions. For a large ...
متن کاملSubmodular Function Minimization
This survey describes the submodular function minimization problem (SFM); why it is important; techniques for solving it; algorithms by Cunningham [7, 11, 12], by Schrijver [69] as modified by Fleischer and Iwata [20], by Orlin [64], by Iwata, Fleischer, and Fujishige [45], and by Iwata [41, 43] for solving it; and extensions of SFM to more general families of subsets.
متن کاملSubmodular function minimization
A set function f defined on the subsets of a finite set V is said to be submodular if it satisfies f(X) + f(Y ) ≥ f(X ∪ Y ) + f(X ∩ Y ), ∀X, Y ⊆ V. Submodular functions are discrete analogues of convex functions. They arise in various branches of applied mathematics such as game theory, information theory, and queueing theory. Examples include the matroid rank functions, the cut capacity functi...
متن کاملOn fast approximate submodular minimization: Extended Version
We are motivated by an application to extract a representative subset of machine learning training data and by the poor empirical performance we observe of the popular minimum norm algorithm. In fact, for our application, minimum norm can have a running time of about O(n) (O(n) oracle calls). We therefore propose a fast approximate method to minimize arbitrary submodular functions. For a large ...
متن کاملOnline submodular minimization
We consider an online decision problem over a discrete space in which the loss function is submodular. We give algorithms which are computationally efficient and are Hannan-consistent in both the full information and bandit settings.
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ژورنال
عنوان ژورنال: Discrete Applied Mathematics
سال: 1982
ISSN: 0166-218X
DOI: 10.1016/0166-218x(82)90053-1