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Grönwall
Grönwall
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Let $f$ and $g$ be two discrete signals. I want to find a monotone function h such that

$h=argmin_{h}\sum_{n\in[0,N]}{(f(n)-g(h(n)))^2}$$h=argmin_{h}\sum_{n\in[0,N]}{(f(n)-h(g(n)))^2}$

I don't really care about finding the global optimum, I just want a good fit. What would be a good representation of f to achieve that? Thanks!

Let $f$ and $g$ be two discrete signals. I want to find a monotone function h such that

$h=argmin_{h}\sum_{n\in[0,N]}{(f(n)-g(h(n)))^2}$

I don't really care about finding the global optimum, I just want a good fit. What would be a good representation of f to achieve that? Thanks!

Let $f$ and $g$ be two discrete signals. I want to find a monotone function h such that

$h=argmin_{h}\sum_{n\in[0,N]}{(f(n)-h(g(n)))^2}$

I don't really care about finding the global optimum, I just want a good fit. What would be a good representation of f to achieve that? Thanks!

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Grönwall
Grönwall
  • 165
  • 6

Finding an optimal monotone function?

Let $f$ and $g$ be two discrete signals. I want to find a monotone function h such that

$h=argmin_{h}\sum_{n\in[0,N]}{(f(n)-g(h(n)))^2}$

I don't really care about finding the global optimum, I just want a good fit. What would be a good representation of f to achieve that? Thanks!