Function approximation reference request
Suppose I have $n$ points $X_1, X_2, ... X_n$ and I know that they are mapped to $Y_1,Y_2,...Y_n$ by some unknown function $f$. My goal is to find approximation of function $f$. Some obvious solution is to use regression of $Y$ on $X$ with different basis (Polynomial, Chebyshev, Laguerre etc..)
I want to dig deeper into this problem. Could you please recommend some books that cover this topic? I found some books on "function approximation", but in all of these books function $f$ is known and they try to find good approximation of it. In my case $f$ is unknown.
approximation-theory
asked 2 days ago
Markoff ChainzMarkoff Chainz
513312
add a comment |
Suppose I have $n$ points $X_1, X_2, ... X_n$ and I know that they are mapped to $Y_1,Y_2,...Y_n$ by some unknown function $f$. My goal is to find approximation of function $f$. Some obvious solution is to use regression of $Y$ on $X$ with different basis (Polynomial, Chebyshev, Laguerre etc..)
I want to dig deeper into this problem. Could you please recommend some books that cover this topic? I found some books on "function approximation", but in all of these books function $f$ is known and they try to find good approximation of it. In my case $f$ is unknown.
approximation-theory
asked 2 days ago
Markoff ChainzMarkoff Chainz
513312
add a comment |
Suppose I have $n$ points $X_1, X_2, ... X_n$ and I know that they are mapped to $Y_1,Y_2,...Y_n$ by some unknown function $f$. My goal is to find approximation of function $f$. Some obvious solution is to use regression of $Y$ on $X$ with different basis (Polynomial, Chebyshev, Laguerre etc..)
I want to dig deeper into this problem. Could you please recommend some books that cover this topic? I found some books on "function approximation", but in all of these books function $f$ is known and they try to find good approximation of it. In my case $f$ is unknown.
approximation-theory
asked 2 days ago
Markoff ChainzMarkoff Chainz
513312
Suppose I have $n$ points $X_1, X_2, ... X_n$ and I know that they are mapped to $Y_1,Y_2,...Y_n$ by some unknown function $f$. My goal is to find approximation of function $f$. Some obvious solution is to use regression of $Y$ on $X$ with different basis (Polynomial, Chebyshev, Laguerre etc..)
I want to dig deeper into this problem. Could you please recommend some books that cover this topic? I found some books on "function approximation", but in all of these books function $f$ is known and they try to find good approximation of it. In my case $f$ is unknown.
approximation-theory
approximation-theory
asked 2 days ago
Markoff ChainzMarkoff Chainz
513312
asked 2 days ago
Markoff ChainzMarkoff Chainz
513312
asked 2 days ago
Markoff ChainzMarkoff Chainz
513312
asked 2 days ago
Markoff ChainzMarkoff Chainz
513312
asked 2 days ago
Markoff ChainzMarkoff Chainz
513312
513312
add a comment |
add a comment |
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