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Real-World Applicationshard
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In machine learning, the loss function for linear regression with L2 regularization (Ridge regression) is defined as J(theta)=frac12∣Xtheta−y∣2+fraclambda2∣theta∣2J(\\theta) = \\frac{1}{2} \\|X\\theta - y\\|^2 + \\frac{\\lambda}{2} \\|\\theta\\|^2J(theta)=frac12∣Xtheta−y∣2+fraclambda2∣theta∣2, where XXX is the feature matrix, yyy is the target vector, and lambda>0\\lambda > 0lambda>0 is the regularization parameter. What is the gradient nablathetaJ(theta)\\nabla_{\\theta} J(\\theta)nablatheta​J(theta)?