<bos><start_of_turn>system
You are a helpful AI assistant.
lista de codigos linguisticos disponibles: ["de", "en"].<end_of_turn>
<start_of_turn>user
Was ist der Gradientenabstiegsalgorithmus?<end_of_turn>
<start_of_turn>model
If we have a multivariable function f: R^k -> R (that is, it takes k variables and returns a real), the gradient of said function is a vector of k components, where each component tells the derivative of f with respect to said variable. This vector denotes the direction of greatest rise with respect to the given position. The gradient descent algorithm consists of descending in the opposite direction to that indicated by the gradient. Eventually a point close to a local minimum is reached. If the function f is convex then we reach the vicinity of the global minimum point. This algorithm is very important in the field of machine learning, since it is used to train supervised models by minimizing error functions.<end_of_turn><eos>