how to plot a 2D gaussian in a graph using surf
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clear
clc
load (fullfile('C:\Users\CHINMAYEE\Desktop\Datasets\red_data.txt'))
size(red_data)
[N, M] = size(red_data);
X = red_data(:,2);
[N, M] = size(X);
max_X = max(max((X)));
min_X = min(min(X));
K = 2;
means = min_X + (max_X - min_X)*rand(K,M);
%C = cov(X);
%covs = zeros(K,M,M);
covs = cell(1, K);
for i=1 :K
covs{i}=eye(M);
end
%D = det(C);
%I = inv(D);
prior = ones(1,K)/K;
prob = zeros(N, K);
gens = 10;
for g = 1 : gens
for p = 1 : N
for k = 1 : K
prob(p,k)= gaussian2D(X(p,:),means(k,:),covs(k));
prob(p,k)= prob(p,k)* prior(k);
end
sum_probs = sum(prob(p,:));
prob(p,:) = prob(p,:)/sum_probs;
end
for k = 1 : K
means(k,:) = sum(repmat(prob(:,k),1,2).*X)/sum(prob(:,k));
for i=1:M
for j=1:M
norm_data = (X(:,i)-repmat(means(k,i),N,1)).*(X(:,j)-repmat(means(k,j),N,1));
covs{k}(i,j) = sum(prob(:,k).*norm_data)/sum(prob(:,k));
end
end
prior(k) = sum(prob(:,k))/N;
end
end
str = '';
for i = 1 : N
[s ,loc]= sort(prob(i,:));
str = strcat(str, num2str(loc(K)));
end
str
figure
scatter(X,zeros(1,N));
hold on
ax = linspace(-2, 2, 100);
y = linspace(-3, 3, 100);
[X Y] = meshgrid(x, y);
X
Y
Z = gaussian2D(ax,means(X),covs(X));
surf(x, y, Z);
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