Results 11 to 20 of about 77,572 (263)
CoRR, 2021 It has been well established that first order optimization methods can converge to the maximal objective value of concave functions and provide constant factor approximation guarantees for (non-convex/non-concave) continuous submodular functions. In this work, we initiate the study of the maximization of functions of the form $F(x) = G(x) +C(x)$ over a
Siddharth Mitra +2 more
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On concavity and supermodularity [PDF]
Journal of Mathematical Analysis and Applications, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Marinacci, Massimo, Montrucchio, Luigi
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Multiplicative Concavity of the Integral of Multiplicatively Concave Functions [PDF]
Journal of Inequalities and Applications, 2010 A real-valued function \(f:I\subseteq {\mathbb R} \rightarrow (0,\infty)\) is said to be multiplicatively convex if \[ f(x^{1/2}y^{1/2}) \leq f^{1/2}(x)f^{1/2}(y) \] for all \(x,y \in I\). And \(f\) is called multiplicatively concave if \(1/f\) is multiplicatively convex. Multiplicatively convexity on \(E\subseteq {\mathbb R}_+^2\) is defined similarly.
Yu-Ming Chu, Xiao-Ming Zhang
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Water Science and Technology, 2022 In this study, scale-based runoff plots of concave grasslands were designed and simulated rainfall experiments were conducted to investigate their retention effectiveness for runoff volume and pollutant loads, and to analyze the influences of concave ...
Wen Liu, Zhixiang Lu
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Entropies and Their Concavity and Schur-Concavity Conditions
IEEE Access, 2022 Concavity and Schur-concavity are two of the important properties of any entropy. Since Shannon’s classical entropy formulation, a number of generalized entropies have been proposed as parameterized generalizations of Shannon’s entropy. For such generalized entropies, the conditions under which they are concave and/or Schur-concave have ...
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Effect of Concave Stave on Class I Barrel-Stave Flextensional Transducer
Micromachines, 2021 To meet the requirements of low frequency, high power, small size and light weight, a type of Class I barrel-stave flextensional transducer employing improved concave stave is presented.
Duo Teng, Xiaoyong Liu, Feng Gao
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The Electronic Journal of Combinatorics, 2011 Concave compositions are compositions (i.e. ordered partitions) of a number in which the parts decrease up to the middle summand(s) and increase thereafter. Perhaps the most surprising result is for even length, concave compositions where the generating function turns out to be the quotient of two instances of the pentagonal number theorem with ...
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A New Approach to Concavity Fuzzification
Journal of Mathematics, 2021 In this paper, we introduce a more general approach to the fuzzification of fuzzy concavity. More specifically, the degree of L,M-fuzzy concavity is introduced and characterized as a generalization of L-concave structure and L,M-fuzzy concave structure ...
Ibtesam Alshammari +2 more
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Divergence for s -concave and log concave functions
Advances in Mathematics, 2014 We prove new entropy inequalities for log concave and s-concave functions that strengthen and generalize recently established reverse log Sobolev and Poincare inequalities for such functions. This leads naturally to the concept of f-divergence and, in particular, relative entropy for s-concave and log concave functions.
Caglar, Umut, Werner, Elisabeth M.
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Shock and Vibration, 2012 This paper presents the dynamic response of an Euler- Bernoulli beam supported on two-parameter Pasternak foundation subjected to moving load as well as moving mass. Modal analysis along with Fourier transform technique is employed to find the analytical
Rajib Ul Alam Uzzal +2 more
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