Results 11 to 20 of about 5,776,228 (320)
Optimal inequalities for bounding Toader mean by arithmetic and quadratic means [PDF]
Journal of Inequalities and Applications, 2017 In this paper, we present the best possible parameters α ( r ) $\alpha(r)$ and β ( r ) $\beta(r)$ such that the double inequality [ α ( r ) A r ( a , b ) + ( 1 − α ( r ) ) Q r ( a , b ) ] 1 / r < T D [ A ( a , b ) , Q ( a , b ) ] < [ β ( r ) A r ( a , b )
Tie-Hong Zhao, Yu-Ming Chu, Wen Zhang
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Physics Reports, 2018 Mean field games were introduced independently by J-M. Lasry and P-L. Lions, and by M. Huang, R.P. Malham\'e and P. E. Caines, in order to bring a new approach to optimization problems with a large number of interacting agents.
Gobron, Thierry +2 more
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Co-Opetitive Linear-Quadratic Mean-Field-Type Games
IEEE Transactions on Cybernetics, 2020 In this paper, we propose a co-opetitive mean-field-type game (MFTG) approach in which decision makers interact with each other by means of partial cooperation and competition simultaneously.
J. Barreiro‐Gomez +2 more
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Mean-field type quadratic BSDEs
Numerical Algebra, Control and Optimization, 2023 In this paper, we give several new results on solvability of a quadratic BSDE whose generator depends also on the mean of both variables. First, we consider such a BSDE using John-Nirenberg's inequality for BMO martingales to estimate its contribution to the evolution of the first unknown variable.
Hibon, Hélène +2 more
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Mean-field linear-quadratic stochastic differential games [PDF]
Journal of Differential Equations, 2021 The paper is concerned with two-person zero-sum mean-field linear-quadratic stochastic differential games over finite horizons. By a Hilbert space method, a necessary condition and a sufficient condition are derived for the existence of an open-loop saddle point.
Jingrui Sun, Hanxiao Wang, Zhen Wu
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Reinforcement Learning in Non-Stationary Discrete-Time Linear-Quadratic Mean-Field Games [PDF]
IEEE Conference on Decision and Control, 2020 In this paper, we study large population multiagent reinforcement learning (RL) in the context of discretetime linear-quadratic mean-field games (LQ-MFGs).
Muhammad Aneeq uz Zaman +3 more
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Linear-Quadratic Mean Field Games [PDF]
Journal of Optimization Theory and Applications, 2015 In this article, we provide a comprehensive study of the linear-quadratic mean field games via the adjoint equation approach; although the problem has been considered in the literature by Huang, Caines and Malhame (HCM, 2007a), their method is based on Dynamic Programming.
Yung, SP +3 more
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The generalized quadratic Gauss sums and its sixth power mean
AIMS Mathematics, 2021 In this article, we using elementary methods, the number of the solutions of some congruence equations and the properties of the Legendre's symbol to study the computational problem of the sixth power mean of a certain generalized quadratic Gauss sums ...
Xingxing Lv, Wenpeng Zhang
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Indefinite Linear Quadratic Mean Field Social Control Problems With Multiplicative Noise [PDF]
IEEE Transactions on Automatic Control, 2020 This article studies uniform stabilization and social optimality for linear quadratic (LQ) mean field control problems with multiplicative noise, where agents are coupled via dynamics and individual costs.
Bing‐Chang Wang, Huanshui Zhang
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Alternative expressions for stand diameter in complex forests
Forest Ecosystems, 2023 Quadratic mean diameter is the most frequently reported descriptor of the diameter distribution of forests. As such, it is often used as an indicator of forest stand structure, developmental stage, and ecological and economic potential.
Mark J. Ducey, John A. Kershaw, Jr.
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