Mixing
“Univariate function” definition for functions of vectors?
$begingroup$
As I understand it, the definition of a univariate function is a function of a single variable.
However, I am reading through some texts on machine learning and neural networks, and they frequently use phrases such as
Neural networks approximate univariate functions using sigmoids
Or similar. This confuses me, since neural networks often take in high-dimensional vectors as their inputs, especially for deep learners. Presumably, the functions they seek to approximate are functions of those same high dimensional vectors.
Are comments like the above referring to these functions as univariate in the sense they're a function of only a single vector $x$? Or do univariate functions need to be functions of a single dimension?
...Or am I completely misunderstanding the statement above?
definition machine-learning neural-networks
asked Jan 28 at 4:58
XiaomiXiaomi
1,071115
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add a comment |
$begingroup$
As I understand it, the definition of a univariate function is a function of a single variable.
However, I am reading through some texts on machine learning and neural networks, and they frequently use phrases such as
Neural networks approximate univariate functions using sigmoids
Or similar. This confuses me, since neural networks often take in high-dimensional vectors as their inputs, especially for deep learners. Presumably, the functions they seek to approximate are functions of those same high dimensional vectors.
Are comments like the above referring to these functions as univariate in the sense they're a function of only a single vector $x$? Or do univariate functions need to be functions of a single dimension?
...Or am I completely misunderstanding the statement above?
definition machine-learning neural-networks
asked Jan 28 at 4:58
XiaomiXiaomi
1,071115
$endgroup$
add a comment |
$begingroup$
As I understand it, the definition of a univariate function is a function of a single variable.
However, I am reading through some texts on machine learning and neural networks, and they frequently use phrases such as
Neural networks approximate univariate functions using sigmoids
Or similar. This confuses me, since neural networks often take in high-dimensional vectors as their inputs, especially for deep learners. Presumably, the functions they seek to approximate are functions of those same high dimensional vectors.
Are comments like the above referring to these functions as univariate in the sense they're a function of only a single vector $x$? Or do univariate functions need to be functions of a single dimension?
...Or am I completely misunderstanding the statement above?
definition machine-learning neural-networks
asked Jan 28 at 4:58
XiaomiXiaomi
1,071115
$endgroup$
As I understand it, the definition of a univariate function is a function of a single variable.
However, I am reading through some texts on machine learning and neural networks, and they frequently use phrases such as
Neural networks approximate univariate functions using sigmoids
Or similar. This confuses me, since neural networks often take in high-dimensional vectors as their inputs, especially for deep learners. Presumably, the functions they seek to approximate are functions of those same high dimensional vectors.
Are comments like the above referring to these functions as univariate in the sense they're a function of only a single vector $x$? Or do univariate functions need to be functions of a single dimension?
...Or am I completely misunderstanding the statement above?
definition machine-learning neural-networks
definition machine-learning neural-networks
asked Jan 28 at 4:58
XiaomiXiaomi
1,071115
asked Jan 28 at 4:58
XiaomiXiaomi
1,071115
asked Jan 28 at 4:58
XiaomiXiaomi
1,071115
asked Jan 28 at 4:58
XiaomiXiaomi
1,071115
asked Jan 28 at 4:58
XiaomiXiaomi
1,071115
1,071115
add a comment |
add a comment |
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