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Fusing Complete Monotonic Decision Trees
IEEE Transactions on Knowledge and Data Engineering, 2017Monotonic classification is a kind of classification task in which a monotonicity constraint exist between features and class, i.e., if sample $x_i$ has a higher value in each feature than sample $x_j$ , it should be assigned to a class with a higher level than the level of $x_j$ 's class.
Hang Xu, Wenjian Wang, Yuhua Qian
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A Property of completely monotonic functions
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1987AbstractA non-negative function f(t), t > 0, is said to be completely monotonic if its derivatives satisfy (-1)n fn (t) ≥ 0 for all t and n = 1, 2, …, For such a function, either f(t + δ) / f(t) is strictly increasing in t for each δ > 0, or f(t) = ce-dt for some constants c and d, and for all t. An application of this result is given.
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Differential Approximation of Completely Monotonic Functions
SIAM Journal on Numerical Analysis, 1981The various differential approximation schemes for producing an exponential sum approximation to a given function F are placed within a common mathematical framework, and localization theorems are established in the important case where F is completely monotonic. The replacement of the least squares minimization by a Galerkin orthogonalization leads to
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MODULES OVER MONOTONE COMPLETE C*-ALGEBRAS
International Journal of Mathematics, 1992The main result asserts that given two monotone complete C*-algebras A and B, B is faithfully represented as a monotone closed C*-subalgebra of the monotone complete C*-algebra End A(X) consisting of all bounded module endomorphisms of some self-dual Hilbert A-module X if and only if there are sufficiently many normal completely positive maps of B ...
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Hyperbolically Completely Monotone Densities
1992In this chapter many important consequences of Theorem 4.3.1 are revealed. Moreover, a canonical representation formula for pdf’s satisfying the HCM-condition is found.
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Constructing Monotone Complete C ∗-Algebras
2015We build monotone complete C∗-algebras from equivalence relations on topological spaces. This is applied to orbit equivalence relations associated with the action of a countable group G. In general, these algebras may be identified with monotone cross-product algebras arising from actions of G on commutative monotone complete C∗-algebras.
Kazuyuki Saitô, J. D. Maitland Wright
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On certain completely monotonic sequences
International Journal of Mathematical Education in Science and Technology, 1985When a bounded linear functional defined on C[‐h, h]is applied to an analytic function a power series in his often obtained. It is shown here that if the linear functional possesses an error term of a certain general type, then the coefficients of this power series must possess a particular property involving complete monotonicity.
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Current treatment and future directions in the management of anal cancer
Ca-A Cancer Journal for Clinicians, 2022Leila T Tchelebi +2 more
exaly

