Which algorithm is known for finding optimal solutions by iteratively minimizing a cost function?
Question
Which algorithm is known for finding optimal solutions by iteratively minimizing a cost function?
Solution
The algorithm known for finding optimal solutions by iteratively minimizing a cost function is called Gradient Descent.
Here are the steps it follows:
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Initialize: Start with random values for the parameters (weights).
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Compute: Calculate the cost function, which measures the error of the prediction of the model.
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Gradient Calculation: Compute the gradient of the cost function. The gradient is a derivative operation that calculates the slope of the function at a specific point.
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Update Parameters: Adjust the parameters in the direction that minimizes the cost function. This is done by subtracting the gradient of the cost function from the current parameters.
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Iterate: Repeat steps 2-4 until the cost function is minimized to a satisfactory level or after a certain number of iterations.
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Terminate: The algorithm stops when the cost function is at its minimum. The parameters at this point are considered to be the optimal parameters.
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