Quadratics and derivatives play a crucial role in machine learning, particularly in optimization tasks like training models. Quadratic functions, which involve squared terms, are commonly used to represent cost functions, such as the mean squared error in regression. The parabolic shape of a quadratic function makes it easier to find its minimum point, representing the optimal solution. Derivatives, on the other hand, measure the rate of change of a function, helping to determine the direction and magnitude of adjustments needed during optimization. Techniques like gradient descent leverage derivatives to iteratively minimize cost functions, ensuring that the model learns efficiently. Together, quadratics and derivatives are fundamental tools in guiding machine learning models toward better accuracy and performance.
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