scratch

§ Sum of Quadratic Errors

created 2021-11-18
  • Consider the function (x−a)2+(x−b)2(x - a)^2 + (x - b)^2(x−a)2+(x−b)2
  • Minimum error is at 2(x−a)+2(x−b)2(x - a) + 2(x - b)2(x−a)+2(x−b), or at (a + b)/2.
  • As we move away towards either end-point, the error always increases !
  • So the "reduction in error" by moving towards b from (a + b)/2 is ALWAYS DOMINATED by the "increase in error" by moving towards a from (a + b)/2.
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