Piece-wise quadratic function [closed]
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How can I find a minimum of a piece-wise quadratic function?
(minorant of a set of quadratic functions)
An example of this will be appreciated.
functions optimization quadratics machine-learning
asked Dec 1 '18 at 23:23
jezajeza
1116
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closed as unclear what you're asking by Yves Daoust, NCh, user10354138, A. Pongrácz, Robert Soupe Dec 3 '18 at 15:28
Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.
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$begingroup$
How can I find a minimum of a piece-wise quadratic function?
(minorant of a set of quadratic functions)
An example of this will be appreciated.
functions optimization quadratics machine-learning
asked Dec 1 '18 at 23:23
jezajeza
1116
$endgroup$
closed as unclear what you're asking by Yves Daoust, NCh, user10354138, A. Pongrácz, Robert Soupe Dec 3 '18 at 15:28
Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.
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You are asking two different things.
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– Yves Daoust
Dec 3 '18 at 14:27
add a comment |
$begingroup$
How can I find a minimum of a piece-wise quadratic function?
(minorant of a set of quadratic functions)
An example of this will be appreciated.
functions optimization quadratics machine-learning
asked Dec 1 '18 at 23:23
jezajeza
1116
$endgroup$
How can I find a minimum of a piece-wise quadratic function?
(minorant of a set of quadratic functions)
An example of this will be appreciated.
functions optimization quadratics machine-learning
functions optimization quadratics machine-learning
asked Dec 1 '18 at 23:23
jezajeza
1116
asked Dec 1 '18 at 23:23
jezajeza
1116
edited Dec 3 '18 at 15:30
jeza
asked Dec 1 '18 at 23:23
jezajeza
1116
asked Dec 1 '18 at 23:23
jezajeza
1116
asked Dec 1 '18 at 23:23
jezajeza
1116
1116
closed as unclear what you're asking by Yves Daoust, NCh, user10354138, A. Pongrácz, Robert Soupe Dec 3 '18 at 15:28
Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.
closed as unclear what you're asking by Yves Daoust, NCh, user10354138, A. Pongrácz, Robert Soupe Dec 3 '18 at 15:28
Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.
$begingroup$
You are asking two different things.
$endgroup$
– Yves Daoust
Dec 3 '18 at 14:27
add a comment |
$begingroup$
You are asking two different things.
$endgroup$
– Yves Daoust
Dec 3 '18 at 14:27
$begingroup$
You are asking two different things.
$endgroup$
– Yves Daoust
Dec 3 '18 at 14:27
$begingroup$
You are asking two different things.
$endgroup$
– Yves Daoust
Dec 3 '18 at 14:27
add a comment |
1 Answer
1
active
oldest
votes
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The minimum of every piece is the smallest of the values at the endpoints and at the stationary point (if any). The global minimum is the smallest of all pieces.
answered Dec 3 '18 at 14:28
Yves DaoustYves Daoust
124k671222
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$begingroup$
thanks, could you please explain this by example. Suppose I have piece-wise quadratic functions then I want to find their minorant function.
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– jeza
Dec 3 '18 at 15:34
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@jeza: no idea what you call their "minorant function".
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– Yves Daoust
Dec 3 '18 at 15:44
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Just it is the minimum of piece-wise quadratic functions
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– jeza
Dec 3 '18 at 15:48
$begingroup$
@jeza: why do you call that a function ?
$endgroup$
– Yves Daoust
Dec 3 '18 at 15:48
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because I found this following statement in one of the paper I read "We exploited the fact that finding a minimum of a piece-wise quadratic function, or, in other words, a function which is the minorant of a set of quadratic functions, is not much more computationally costly as minimizing the standard quadratic error". which I do not understand?
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– jeza
Dec 3 '18 at 15:59
|
show 2 more comments
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
The minimum of every piece is the smallest of the values at the endpoints and at the stationary point (if any). The global minimum is the smallest of all pieces.
answered Dec 3 '18 at 14:28
Yves DaoustYves Daoust
124k671222
$endgroup$
$begingroup$
thanks, could you please explain this by example. Suppose I have piece-wise quadratic functions then I want to find their minorant function.
$endgroup$
– jeza
Dec 3 '18 at 15:34
$begingroup$
@jeza: no idea what you call their "minorant function".
$endgroup$
– Yves Daoust
Dec 3 '18 at 15:44
$begingroup$
Just it is the minimum of piece-wise quadratic functions
$endgroup$
– jeza
Dec 3 '18 at 15:48
$begingroup$
@jeza: why do you call that a function ?
$endgroup$
– Yves Daoust
Dec 3 '18 at 15:48
$begingroup$
because I found this following statement in one of the paper I read "We exploited the fact that finding a minimum of a piece-wise quadratic function, or, in other words, a function which is the minorant of a set of quadratic functions, is not much more computationally costly as minimizing the standard quadratic error". which I do not understand?
$endgroup$
– jeza
Dec 3 '18 at 15:59
|
show 2 more comments
$begingroup$
The minimum of every piece is the smallest of the values at the endpoints and at the stationary point (if any). The global minimum is the smallest of all pieces.
answered Dec 3 '18 at 14:28
Yves DaoustYves Daoust
124k671222
$endgroup$
$begingroup$
thanks, could you please explain this by example. Suppose I have piece-wise quadratic functions then I want to find their minorant function.
$endgroup$
– jeza
Dec 3 '18 at 15:34
$begingroup$
@jeza: no idea what you call their "minorant function".
$endgroup$
– Yves Daoust
Dec 3 '18 at 15:44
$begingroup$
Just it is the minimum of piece-wise quadratic functions
$endgroup$
– jeza
Dec 3 '18 at 15:48
$begingroup$
@jeza: why do you call that a function ?
$endgroup$
– Yves Daoust
Dec 3 '18 at 15:48
$begingroup$
because I found this following statement in one of the paper I read "We exploited the fact that finding a minimum of a piece-wise quadratic function, or, in other words, a function which is the minorant of a set of quadratic functions, is not much more computationally costly as minimizing the standard quadratic error". which I do not understand?
$endgroup$
– jeza
Dec 3 '18 at 15:59
|
show 2 more comments
$begingroup$
The minimum of every piece is the smallest of the values at the endpoints and at the stationary point (if any). The global minimum is the smallest of all pieces.
answered Dec 3 '18 at 14:28
Yves DaoustYves Daoust
124k671222
$endgroup$
The minimum of every piece is the smallest of the values at the endpoints and at the stationary point (if any). The global minimum is the smallest of all pieces.
answered Dec 3 '18 at 14:28
Yves DaoustYves Daoust
124k671222
answered Dec 3 '18 at 14:28
Yves DaoustYves Daoust
124k671222
answered Dec 3 '18 at 14:28
Yves DaoustYves Daoust
124k671222
answered Dec 3 '18 at 14:28
Yves DaoustYves Daoust
124k671222
124k671222
$begingroup$
thanks, could you please explain this by example. Suppose I have piece-wise quadratic functions then I want to find their minorant function.
$endgroup$
– jeza
Dec 3 '18 at 15:34
$begingroup$
@jeza: no idea what you call their "minorant function".
$endgroup$
– Yves Daoust
Dec 3 '18 at 15:44
$begingroup$
Just it is the minimum of piece-wise quadratic functions
$endgroup$
– jeza
Dec 3 '18 at 15:48
$begingroup$
@jeza: why do you call that a function ?
$endgroup$
– Yves Daoust
Dec 3 '18 at 15:48
$begingroup$
because I found this following statement in one of the paper I read "We exploited the fact that finding a minimum of a piece-wise quadratic function, or, in other words, a function which is the minorant of a set of quadratic functions, is not much more computationally costly as minimizing the standard quadratic error". which I do not understand?
$endgroup$
– jeza
Dec 3 '18 at 15:59
|
show 2 more comments
$begingroup$
thanks, could you please explain this by example. Suppose I have piece-wise quadratic functions then I want to find their minorant function.
$endgroup$
– jeza
Dec 3 '18 at 15:34
$begingroup$
@jeza: no idea what you call their "minorant function".
$endgroup$
– Yves Daoust
Dec 3 '18 at 15:44
$begingroup$
Just it is the minimum of piece-wise quadratic functions
$endgroup$
– jeza
Dec 3 '18 at 15:48
$begingroup$
@jeza: why do you call that a function ?
$endgroup$
– Yves Daoust
Dec 3 '18 at 15:48
$begingroup$
because I found this following statement in one of the paper I read "We exploited the fact that finding a minimum of a piece-wise quadratic function, or, in other words, a function which is the minorant of a set of quadratic functions, is not much more computationally costly as minimizing the standard quadratic error". which I do not understand?
$endgroup$
– jeza
Dec 3 '18 at 15:59
$begingroup$
thanks, could you please explain this by example. Suppose I have piece-wise quadratic functions then I want to find their minorant function.
$endgroup$
– jeza
Dec 3 '18 at 15:34
$begingroup$
thanks, could you please explain this by example. Suppose I have piece-wise quadratic functions then I want to find their minorant function.
$endgroup$
– jeza
Dec 3 '18 at 15:34
$begingroup$
@jeza: no idea what you call their "minorant function".
$endgroup$
– Yves Daoust
Dec 3 '18 at 15:44
$begingroup$
@jeza: no idea what you call their "minorant function".
$endgroup$
– Yves Daoust
Dec 3 '18 at 15:44
$begingroup$
Just it is the minimum of piece-wise quadratic functions
$endgroup$
– jeza
Dec 3 '18 at 15:48
$begingroup$
Just it is the minimum of piece-wise quadratic functions
$endgroup$
– jeza
Dec 3 '18 at 15:48
$begingroup$
@jeza: why do you call that a function ?
$endgroup$
– Yves Daoust
Dec 3 '18 at 15:48
$begingroup$
@jeza: why do you call that a function ?
$endgroup$
– Yves Daoust
Dec 3 '18 at 15:48
$begingroup$
because I found this following statement in one of the paper I read "We exploited the fact that finding a minimum of a piece-wise quadratic function, or, in other words, a function which is the minorant of a set of quadratic functions, is not much more computationally costly as minimizing the standard quadratic error". which I do not understand?
$endgroup$
– jeza
Dec 3 '18 at 15:59
$begingroup$
because I found this following statement in one of the paper I read "We exploited the fact that finding a minimum of a piece-wise quadratic function, or, in other words, a function which is the minorant of a set of quadratic functions, is not much more computationally costly as minimizing the standard quadratic error". which I do not understand?
$endgroup$
– jeza
Dec 3 '18 at 15:59
|
show 2 more comments
$begingroup$
You are asking two different things.
$endgroup$
– Yves Daoust
Dec 3 '18 at 14:27