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Monotonic functions in EC [PDF]
To understand how evolutionary algorithms optimize the simple class of monotonic functions, Jansen (FOGA 2007) introduced the partially-ordered evolutionary algorithm (PO-EA) model and analyzed its runtime. The PO-EA is a pessimistic model of the true optimization process, hence performance guarantees for it immediately take over to the true ...
Gaspard Férey+2 more
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On Functions That are Monotone on No Interval
The American Mathematical Monthly, 1981(1981). On Functions that are Monotone on No Interval. The American Mathematical Monthly: Vol. 88, No. 10, pp. 754-755.
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APPROXIMATION OF MONOTONE FUNCTIONS BY MONOTONE POLYNOMIALS [PDF]
The following theorem is proved for the case .Theorem. If , , , and the function is nondecreasing on and has continuous derivatives, then for each positive integer there is an algebraic polynomial of degree that is nondecreasing on and such that for all where is the th-order modulus of continuity of the function .Bibliography: 16 titles.
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Stochastic Monotonicity and Monotonicity of the Value Functions
2016We consider MDPs and CMs with structured state space and arbitrary transition law. We assume that the minimal assumption (MA1) holds. As in Chap. 6 we are looking for conditions under which the value functions are monotone in the initial state s. This is easy for CMs, but requires a thorough treatment of the notion of stochastic monotonicity for MDPs ...
Karl Hinderer+2 more
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Monotone Classification by Function Decomposition
2005The paper focuses on the problem of classification by function decomposition within the frame of monotone classification. We propose a decomposition method for discrete functions which can be applied to monotone problems in order to generate a monotone classifier based on the extracted concept hierarchy.
Viara Popova, Jan C. Bioch
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Elements of Monotonic Analysis: Monotonic Functions
2000The theory of IPH functions defined on either the cone ℝ ++ n or the cone ℝ + n can be applied in the study of various classes of monotonic functions. One of possible approaches in this direction is to use the hypographs of decreasing functions and the epigraphs of increasing functions.
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A systematic review of rehabilitation and exercise recommendations in oncology guidelines
Ca-A Cancer Journal for Clinicians, 2021Kathleen Doyle Lyons+2 more
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