Convex optimization on machine learning

  • If f'(X)\x26gt;0, then f(X) is increasing.
    If f'(X)\x26lt;0, then f(x) is decreasing.
    If f''(X)\x26gt;0, then f(X) is a convex function.
    If f”(X)\x26lt;0, then f(X) is a concave function.
Optimization is at the heart of many (most practical?) machine learning algorithms. ▻ Linear regression: minimize w. Xw − 

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