Concave function

Known as: Concave, Concave downwards, Concave functions 
In mathematics, a concave function is the negative of a convex function. A concave function is also synonymously called concave downwards, concave… (More)
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Related topics

Related topics

28 relations
Amplitude damping channelBrunn–Minkowski theoremConvex functionConvex set
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Broader (1)

Convex analysis

Papers overview

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Highly Cited
2014
Highly Cited
2014
Variations and Extension of the Convex-Concave Procedure
We investigate the convex-concave procedure (CCP), a local heuristic that utilizes the tools of convex optimization to find local… (More)
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2004
2004
Geometry of log-concave functions and measures
We present a view of log concave measures, which enables one to build an isomorphic theory for high dimensional log-concave… (More)
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Highly Cited
2003
Highly Cited
2003
The Concave-Convex Procedure
The concave-convex procedure (CCCP) is a way to construct discrete-time iterative dynamical systems that are guaranteed to… (More)
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Highly Cited
2003
Highly Cited
2003
Simultaneous Optimization for Concave Costs: Single Sink Aggregation or Single Source Buy-at-Bulk
We consider the problem of finding efficient trees to send information from <i>k</i> sources to a single sink in a network where… (More)
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Highly Cited
2001
Highly Cited
2001
The Concave-Convex Procedure (CCCP)
We introduce the Concave-Convex procedure (CCCP) which constructs discrete time iterative dynamical systems which are guaranteed… (More)
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Highly Cited
1998
Highly Cited
1998
Feature Selection via Concave Minimization and Support Vector Machines
Computational comparison is made between two feature selection approaches for nding a separating plane that discriminates between… (More)
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Highly Cited
1996
Highly Cited
1996
Clustering via Concave Minimization
w. N. Street Computer Science Department Oklahoma State University 205 Mathematical Sciences Stillwater, OK 74078 email: nstreet… (More)
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Highly Cited
1993
Highly Cited
1993
A Sequential Niche Technique for Multimodal Function Optimization
A technique is described that allows unimodal function optimization methods to be extended to locate all optima of multimodal… (More)
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Highly Cited
1989
Highly Cited
1989
Log-Concave Probability and Its Applications
<p> In many applications, assumptions about the log-concavity of a probability distribution allow just enough special structure… (More)
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Highly Cited
1972
Highly Cited
1972
On logarithmic concave measures and functions
The purpose of the present paper is to give a new proof for the main theorem proved in [3] and develop further properties of… (More)
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