take mean of consecutive 5 values.

i want to fix the size of vector that is 5 ,then for every iteration calculate the value and perform mean of these 1to 5 values ,when 5 values is full,in the 6 iteration the mean of values from 2 to 6 and so on,if the mean is less than 0.1 then the iteration is stop.

U and V are the matrix having random values.

alpha=0.001;
for i=1:no_of_iteration       % no_of_iteration is some input value
    U=U-alpha*0.1;      % U is matrix ,randomly assign value
    V=V-alpha*0.1;      % V is matrix ,randomly assign value
    cost=sum(sum(U*V));
end

want to take the mean of 5 consecutive cost value ,and compare the value if less then 0.1 then stop iteration

Answer 1

[BhaTTa]

Hey @RUCHI CHOUDHARY, To implement the moving average of cost values and stop the iteration when the mean drops below 0.1, you'll need to store the last 5 cost values in a vector and update it in a rolling fashion.

Please refer to the below code for reference:

alpha = 0.001;
no_of_iteration = 1000; % Or whatever your desired max iterations are

% Initialize U and V matrices (example: 3x3 matrices with random values)
U = rand(3);
V = rand(3);

cost_history = zeros(1, 5); % Initialize a vector to store the last 5 cost values
current_cost_index = 0; % To keep track of where to put the new cost

disp('Starting iterations...');

for i = 1:no_of_iteration
    U = U - alpha * 0.1;
    V = V - alpha * 0.1;
    cost = sum(sum(U * V));

    % Store the current cost in the history vector
    current_cost_index = mod(i - 1, 5) + 1; % This makes it a circular buffer (1, 2, 3, 4, 5, 1, 2, ...)
    cost_history(current_cost_index) = cost;

    % Only calculate and check the mean if we have at least 5 cost values
    if i >= 5
        current_mean_cost = mean(cost_history);
        fprintf('Iteration %d: Current Cost = %.4f, Moving Mean (last 5) = %.4f\n', i, cost, current_mean_cost);

        if current_mean_cost < 0.1
            disp('Moving mean of cost is less than 0.1. Stopping iterations.');
            break; % Exit the loop
        end
    else
        fprintf('Iteration %d: Current Cost = %.4f (Collecting 5 values for mean)\n', i, cost);
    end
end

disp('Loop finished.');

% You can check the final U, V, and cost_history here if needed