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$begingroup$

I am kinda new to Neural Networks and I am currently learning using TensorFlow.

My problem involves functions : $f : S^2 to mathbbC^2$ with some additionnal properties, $S^2$ being the unit sphere of $mathbbR^3$. My goal is, from (relatively few) discretizations points of the function $f$, to interpolate it over the sphere (or a portion of the sphere).

As I said, $f$ cannot be any function, it has some special properties. Lets pretend I have a way to generate a whole collection of functions $f_1,dots,f_N$ satisfying those properties.

What I would like to do it the following :

• Training a Neural Network on $f_i$ with a pre-defined discretization pattern over $S^2$,


• Giving as input a discretization (not on the same pattern as the training one) of a function $f$ I want to interpolate,


• Getting the value at any point I want on $S^2$.

Is it possible ? If yes, how ?

Thank you.

neural-network tensorflow interpolation

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asked Mar 19 at 5:49

nicomezinicomezi

1011

New contributor

nicomezi is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

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0

$begingroup$

I am kinda new to Neural Networks and I am currently learning using TensorFlow.

My problem involves functions : $f : S^2 to mathbbC^2$ with some additionnal properties, $S^2$ being the unit sphere of $mathbbR^3$. My goal is, from (relatively few) discretizations points of the function $f$, to interpolate it over the sphere (or a portion of the sphere).

As I said, $f$ cannot be any function, it has some special properties. Lets pretend I have a way to generate a whole collection of functions $f_1,dots,f_N$ satisfying those properties.

What I would like to do it the following :

• Training a Neural Network on $f_i$ with a pre-defined discretization pattern over $S^2$,


• Giving as input a discretization (not on the same pattern as the training one) of a function $f$ I want to interpolate,


• Getting the value at any point I want on $S^2$.

Is it possible ? If yes, how ?

Thank you.

neural-network tensorflow interpolation

share|improve this question

asked Mar 19 at 5:49

nicomezinicomezi

1011

New contributor

nicomezi is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

$endgroup$

add a comment | 

$begingroup$

I am kinda new to Neural Networks and I am currently learning using TensorFlow.

My problem involves functions : $f : S^2 to mathbbC^2$ with some additionnal properties, $S^2$ being the unit sphere of $mathbbR^3$. My goal is, from (relatively few) discretizations points of the function $f$, to interpolate it over the sphere (or a portion of the sphere).

As I said, $f$ cannot be any function, it has some special properties. Lets pretend I have a way to generate a whole collection of functions $f_1,dots,f_N$ satisfying those properties.

What I would like to do it the following :

• Training a Neural Network on $f_i$ with a pre-defined discretization pattern over $S^2$,


• Giving as input a discretization (not on the same pattern as the training one) of a function $f$ I want to interpolate,


• Getting the value at any point I want on $S^2$.

Is it possible ? If yes, how ?

Thank you.

neural-network tensorflow interpolation

share|improve this question

asked Mar 19 at 5:49

nicomezinicomezi

1011

New contributor

nicomezi is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

$endgroup$

share|improve this question

asked Mar 19 at 5:49

nicomezinicomezi

1011

New contributor

nicomezi is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

share|improve this question

asked Mar 19 at 5:49

nicomezinicomezi

1011

New contributor

nicomezi is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

asked Mar 19 at 5:49

nicomezinicomezi

1011

New contributor

nicomezi is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

asked Mar 19 at 5:49

nicomezinicomezi

1011