Results 161 to 170 of about 302 (183)

Maclaurin type inequalities for multiplicatively convex functions

Proceedings of the American Mathematical Society, 2023
In this paper we establish a new identity, and then based on this identity we derive the Maclaurin’s inequality for multiplicatively convex functions.
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A New Convex Loss Function For Multiple Instance Support Vector Machines

2020 25th International Conference on Pattern Recognition (ICPR), 2021
We develop a novel multiple instance SVM based on maximizing the minimum witness rate (WR) among positive bags. We solve this nonlinear integer programming problem by the multiple instance SVM formulation with a convex loss function, where unknown integer labels of instances in positive bags are relaxed to real numbers between −1 and 1 using the ...
Sang-Baeg Kim, Jung-Man Bae
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Schur convexity and Schur multiplicative convexity for a class of symmetric functions with applications

Ukrainian Mathematical Journal, 2009
For x = (x 1, x 2, …, x n ) ∈ (0, 1 ] n and r ∈ { 1, 2, … , n}, a symmetric function F n (x, r) is defined by the relation $$ {F_n ...
Wei-Feng Xia, Yu-Ming Chu
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A convexity theorem for multiplicative functions

Optimization Letters, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the convexity of the multiplicative version of Karmarkar's potential function

Mathematical Programming, 1988
The author shows that the multiplicative version of the potential function is strictly convex on the feasible region of the corresponding linear programming problem when the region is bounded, as is the case in the multiplicative version of Karmarkar's potential function.
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On the convexity of the multiplicative potential and penalty functions and related topics

Mathematical Programming, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A multiple convex Lyapunov function for asynchronous control of discrete-time switched systems

Transactions of the Institute of Measurement and Control, 2021
In this paper, the problem of asynchronous control for a class of discrete-time switched systems is investigated under mode-dependent integrated dwell time (MDIDT) switching. By constructing a time-dependent convex function, a multiple convex Lyapunov function (MCLF) is firstly proposed for the asynchronous control of the switched systems.
Jiahao Cui, Ruihua Wang, Shumin Fei
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The Schur multiplicative and harmonic convexities of the complete symmetric function

Mathematische Nachrichten, 2011
AbstractThis paper investigates the Schur multiplicative and harmonic convexities of the complete symmetric function \documentclass{article}\usepackage{amssymb}\pagestyle{empty}\begin{document}$F_n(x,r)=\sum _{i_1+i_2+\cdots +i_n=r}x_1^{i_1}x_2^{i_2}\ldots x_n^{i_n}$\end{document} and the function \documentclass{article}\usepackage{amssymb}\pagestyle ...
Chu, Y.-M., Wang, G.-D., Zhang, X.-H.
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Ranking multiple criteria alternatives with half-space, convex, and non-convex dominating cones: quasi-concave and quasi-convex multiple attribute utility functions

Computers & Operations Research, 1989
It is demonstrated how a multiple attribute utility function (MAUF) can be expressed as a quasi-concave or quasi-convex function using non-unique weights. The author discusses three types of local information on weights: unique (half-space), partial information on unique (convex- cone), and non-unique (nonconvex cone).
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Minimization Technique for a Convex Function with Application to Multiple Regression Model

Optimization, 1988
This paper develops an algorithm for estimating the parameters in a general multiple regression model, The estimator coincides with the maximum likelihood estimator when the errors have a probability density function of the type f(t) = C 1 exp ( −φ(t)), where φ is a convex and symmetric function but not necessarily differentiable.
Wansoo T. Rhee, K. Anthony Rhee
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