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Harmonic Mean Linear Discriminant Analysis
IEEE Transactions on Knowledge and Data Engineering, 2019In 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, 20031. 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, 2020For 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
2020Illumination 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
1998Summary: 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
2019An 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, 1974We 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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