Liquidity Provider Returns in Geometric Mean Markets [PDF]
Cryptoeconomic Systems, 2021 Geometric mean market makers (G3Ms), such as Uniswap and Balancer, comprise a popular class of automated market makers (AMMs) defined by the following rule: the reserves of the AMM before and after each trade must have the same (weighted) geometric mean.
Alex Evans
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Geometric Mean Neutrino Mass Relation [PDF]
Modern Physics Letters A, 2007 Present experimental data from neutrino oscillations have provided much information about the neutrino mixing angles. Since neutrino oscillations only determine the mass squared differences $\Delta m^2_{ij} = m^2_i - m^2_j$, the absolute values for ...
A. ZEE, XIAO-GANG HE, Yao W.-M.
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Kernel Geometric Mean Metric Learning
Applied Sciences, 2023 Geometric mean metric learning (GMML) algorithm is a novel metric learning approach proposed recently. It has many advantages such as unconstrained convex objective function, closed form solution, faster computational speed, and interpretability over ...
Zixin Feng +4 more
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Inequalities and limits of weighted spectral geometric mean [PDF]
Linear and multilinear algebra, 2021 We establish some new properties of spectral geometric mean. In particular, we prove a log majorization relation between $ (B^{ts/2}A^{(1-t)s} B^{ts/2})^{1/s} $ (Bts/2A(1−t)sBts/2)1/s and the t-spectral mean $ A\natural_t B :=(A^{-1}\sharp B)^{t}A(A^{-1}\
Luyining Gan, Tin-Yau Tam
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A New Geometric Mean FMEA Method Based on Information Quality
IEEE Access, 2019 Failure mode and effect analysis (FMEA) is used for risk assessment. The risk priority number (RPN) is the product of the three indicators of severity (S), probability of occurrence (O), and detection (D), which is an important measure to determine the ...
Xinzhu Cao, Yong Deng
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Sharp Geometric Mean Bounds for Neuman Means [PDF]
Abstract and Applied Analysis, 2014 We find the best possible constants α1,α2,β1,β2∈[0,1/2] and α3,α4,β3,β4∈[1/2,1] such that the double inequalities G(α1a+(1-α1)b,α1b + (1-α1)a)
Yan Zhang, Yu-Ming Chu, Yun-Liang Jiang
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The (logarithmic) least squares optimality of the arithmetic (geometric) mean of weight vectors calculated from all spanning trees for incomplete additive (multiplicative) pairwise comparison matrices [PDF]
International Journal of General Systems, 2019 Complete and incomplete additive/multiplicative pairwise comparison matrices are applied in preference modelling, multi-attribute decision making and ranking. The equivalence of two well known methods is proved in this paper.
Sándor Bozóki, Vitaliy Tsyganok
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Weighted arithmetic–geometric operator mean inequalities [PDF]
Journal of Inequalities and Applications, 2018 In this paper, we refine and generalize some weighted arithmetic–geometric operator mean inequalities due to Lin (Stud. Math. 215:187–194, 2013) and Zhang (Banach J. Math. Anal. 9:166–172, 2015) as follows: Let A and B be positive operators.
Jianming Xue
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Safety Surveillance of Pneumococcal Vaccine Using Three Algorithms: Disproportionality Methods, Empirical Bayes Geometric Mean, and Tree-Based Scan Statistic [PDF]
Vaccines (Basel), 2020 Hyesung Lee +3 more
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Extensions to Mean–Geometric Mean Linking
MathematicsMean-geometric mean (MGM) linking is a widely used method for linking two groups within the two-parameter logistic (2PL) item response model. However, the presence of differential item functioning (DIF) can lead to biased parameter estimates using the ...
Alexander Robitzsch
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