📄 nearest_neighbor1.m
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function [y, i, d] = nearest_neighbor1(x, A)
% function [y, i, d] = nearest_neighbor(x, A)
%
% Find the row vector y from a matrix of row vectors A
% that is closest in Euclidean distance to row vector x.
%
% Inputs:
% x: a vector of numbers of size 1 x n
% A: k vectors of size 1 x n, "stacked" in a k x n matrix
%
% Outputs:
% y: the closes vector in A to x (of size 1 x n)
% i: the integer (row) index of y in A
% d: the Euclidean distance between x and y
[xr, xc] = size(x);
[Ar, Ac] = size(A);
if (xc ~= Ac)
error('input vector x and matrix A must have the same number of columns');
end
if (xr ~= 1)
error('input vector x must be a row vector');
end
% "for loop" version of code
% distances = zeros(Ar,1) % preallocate storage for distances
for j=1:Ar % loop over rows in A
y = A(j,:);
distances(j) = euclidean(x,y);
end
% find the minimum distance and its location
[d i] = min(distances);
% find the vector (the row in A) corresponding to the
% minimum distance
y = A(i,:);
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