Completely monotonic degree of a function involving trigamma and tetragamma functions [PDF]
AIMS Mathematics, 2020 Let $\psi(x)$ be the digamma function. In the paper, the author reviews backgrounds and motivations to compute complete monotonic degree of the function $\Psi(x)=[\psi'(x)]^2+\psi''(x)$ with respect to $x\in(0,\infty)$, confirms that completely monotonic
Feng Qi
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Monotonicity and complete monotonicity of some functions involving the modified Bessel functions of the second kind [PDF]
Comptes Rendus. Mathématique, 2023 In this paper, we introduce some monotonicity rules for the ratio of integrals. Furthermore, we demonstrate that the function $-T_{\nu ,\alpha ,\beta }(s)$ is completely monotonic in $s$ and absolutely monotonic in $\nu $ if and only if $\beta \ge 1 ...
Mao, Zhong-Xuan, Tian, Jing-Feng
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A function class of strictly positive definite and logarithmically completely monotonic functions related to the modified Bessel functions [PDF]
, 2018 In this paper, we give some conditions for a class of functions related to Bessel functions to be positive definite or strictly positive definite. We present some properties and relationships involving logarithmically completely monotonic functions and ...
Jamel El Kamel, Khaled Mehrez
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Decreasing and complete monotonicity of functions defined by derivatives of completely monotonic function involving trigamma function [PDF]
Demonstratio MathematicaIn this study, using convolution theorem of the Laplace transforms, a monotonicity rule for the ratio of two Laplace transforms, Bernstein’s theorem for completely monotonic functions, and other analytic techniques, the authors verify decreasing property
Yin Hong-Ping, Han Ling-Xiong, Qi Feng
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Non‐Monotonic Ion Conductivity in Lithium‐Aluminum‐Chloride Glass Solid‐State Electrolytes Explained by Cascading Hopping [PDF]
Advanced ScienceInorganic glass solid‐state electrolytes (IGSSEs) exhibit superionic conductivity at ambient temperature. Understanding their ion conduction mechanism remains challenging but is essential for the development of next‐generation all‐solid‐state batteries ...
Beomgyu Kang +4 more
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Modeling Monotonic and Cyclic Behavior of Granular Materials by Exponential Constitutive Function [PDF]
, 2018 Zhen‐Yu Yin +2 more
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Monotonicity and positivity of several functions involving ratios and products of polygamma functions [PDF]
Journal of Inequalities and ApplicationsLet ψ ( x ) $\psi (x)$ denote the digamma function, that is, the logarithmic derivative of the classical Euler gamma function Γ ( x ) $\Gamma (x)$ . In the paper, the authors discover the monotonic properties of the functions ψ ( n ) ( x ) x ψ ( n + 1 ) (
Feng Qi, Dongkyu Lim, Kwara Nantomah
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Artificial non-monotonic neurons based on nonvolatile anti-ambipolar transistors [PDF]
Nature CommunicationsNon-monotonic neurons integrate monotonic input into a non-monotonic response, effectively improving the efficiency of unsupervised learning and precision of information processing in peripheral sensor systems.
Yue Pang +5 more
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ReMIX: Regret Minimization for Monotonic Value Function Factorization in Multiagent Reinforcement Learning [PDF]
arXiv.org, 2023 Value function factorization methods have become a dominant approach for cooperative multiagent reinforcement learning under a centralized training and decentralized execution paradigm.
Yongsheng Mei, Hanhan Zhou, Tian Lan
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Constrained Monotonic Neural Networks [PDF]
International Conference on Machine Learning, 2022 Wider adoption of neural networks in many critical domains such as finance and healthcare is being hindered by the need to explain their predictions and to impose additional constraints on them.
D. Runje, Sharath M. Shankaranarayana
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