from May be duplicated Numerical Differentiation to Find the Gradient image

  • Vertical axis is goodness, horizontal axis is search space.
  • Not sure which way to go if there is only one observation
  • Given two observations, we can compare them to know “Better Direction”.
    • This is gradient by numerical differentiation.
    • The figure determines that the further to the right, the larger
    • In the figure, the search space is only left and right because it is 1-dimensional, but in general, the search space is high-dimensional
  • Proceeding in the direction of the gradient yields better results.

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