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Harmonic Mean Linear Discriminant Analysis

IEEE Transactions on Knowledge and Data Engineering, 2019
In machine learning and data mining, dimensionality reduction is one of the main tasks. Linear Discriminant Analysis (LDA) is a widely used supervised dimensionality reduction algorithm and it has attracted a lot of research interests. Classical Linear Discriminant Analysis finds a subspace to minimize within-class distance and maximize between-class ...
Shuai Zheng 0002   +3 more
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Volume, Surface Area, and the Harmonic Mean

Mathematics Magazine, 2003
1. E. Barbeau, Perron's result and a decision on admission tests, this MAGAZINE 59: 1 (1986), 12-22. 2. D. Harville, The use of linear-model methodology to rate high school or college football teams, J. Amer Statist. Assoc. 72 (1977), 278. 3. T. A. Jech, The ranking of incomplete tournaments: a mathematician's guide to popular sports, Amer.
IVANOV, IVAN GINCHEV, PAUL T. FJELSTAD
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Harmonic, Logarithmic, and Arithmetic Means and Corollaries

The American Mathematical Monthly, 2020
For two positive real numbers a and b, their harmonic, logarithmic, and arithmetic means are respectively defined by H(a,b)=21a+1b=2aba+b,L(a,b)=b−a ln b− ln a , and A(a,b)=a+b2 .Theorem.
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Illumination Harmonization with Gray Mean Scale

2020
Illumination harmonization is an important problem for high-quality image composite. Given the source image and the target background, it aims to transform the foreground appearance that it looks in the same lighting condition as the target background.
Shuangbing Song   +3 more
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Integral means of harmonic mappings

1998
Summary: We prove that if \(f\) is a univalent, sense-preserving, harmonic mapping of the unit disc onto the symmetric strip \(|\Im w|
Grigoryan, Armen, Nowak, Maria (1951- )
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The Arithmetic-Harmonic mean and Landen transformations

2019
An elementary transformation on the coefficients of a rational function of degree 2, preserving the value of its integral, is presented.
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A Harmonic Mean Inequality for the Gamma Function

SIAM Journal on Mathematical Analysis, 1974
We prove that the harmonic mean of $\Gamma (x)$ and $\Gamma (1/ x)$ is greater than or equal to $\Gamma (1) = 1$ for arbitrary $x > 0$.
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The Harmonic Mean

National Mathematics Magazine, 1939
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