Timeline for What is the solution to this minimization problem?
Current License: CC BY-SA 3.0
5 events
when toggle format | what | by | license | comment | |
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Feb 24, 2015 at 2:36 | history | tweeted | twitter.com/#!/StackStats/status/570049672909328385 | ||
Feb 19, 2015 at 19:24 | comment | added | whuber♦ | You are minimizing the quadratic univariate function $\sum_i(\log(a_i) - \beta)^2$ where $\beta=\log(b)$. When it is written in the form $n(\beta-r)^2 + C$ for constants $r, C$, the unique minimum obviously is at $\beta=r$ because squared values are non-negative. You don't even need to do the algebra: just directly check your guess that $r = \log(\hat b)$. | |
Feb 19, 2015 at 18:35 | vote | accept | rhombidodecahedron | ||
Feb 19, 2015 at 18:29 | answer | added | Chris | timeline score: 4 | |
Feb 19, 2015 at 18:20 | history | asked | rhombidodecahedron | CC BY-SA 3.0 |