MaxMean Distance

This function calculates the MaxMean Distance of two vectors (or recursively rows of matrices).

% May 22nd, 2015 (150522): Reza Farrahi Moghaddam
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% Syntax: [MaxMean_Distance_Result] = MaxMean_Distance_R(input_vector_1, input_vector_2)
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% The MaxMean_Distance_R.m calculates the MaxMean Distance of two vectors
% (or recursively rows of matrices). The MaxMean Distance is defined as the
% mean of two distances: i) The average Euclidean distance between the two
% vectors (per dimension) and ii) The maximum absolute difference between
% elements of the two vectors.
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% Examples:
% v1 = [1, 2, 20];
% v2 = [3, 3, 3];
% [MaxMean_Distance_Result] = MaxMean_Distance_R(v1, v2)
% (1 / numel(v1)) * sqrt(sum((v1 - v2) .^ 2))
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% v1 = [1, 2, 20];
% v2 = [3, 3, 3; 4, 5, 6];
% [MaxMean_Distance_Result] = MaxMean_Distance_R(v1, v2)
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% v1 = [1, 2, 20; 1, 3, 19];
% v2 = [3, 3, 3];
% [MaxMean_Distance_Result] = MaxMean_Distance_R(v1, v2)
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% v1 = [1, 2, 20; 1, 3, 19];
% v2 = [3, 3, 3; 4, 5, 6];
% [MaxMean_Distance_Result] = MaxMean_Distance_R(v1, v2)
%