Hi Folks,
I have a variable $x that has a value such as 0.6
I want to compute the result of evaluating this sigmoid function:
1
----------------
(1 + e**-x)
That is, compute 1 divided by (1 + e raised to the -x power)
I am using the exp template in Dimitre's FXSL library.
[Dimitre, incredible library]
I created a wrapper function that simply calls Dimitre's exp template:
<xsl:function name="f:e" as="xs:decimal">
<xsl:param name="x" as="xs:decimal" />
<xsl:call-template name="exp">
<xsl:with-param name="pX" select="$x" />
</xsl:call-template>
</xsl:function>
Then I computed the sigmoid function this way:
<xsl:variable name="e-to-the-minus-x-power" select="f:e(-$x)" as="xs:decimal"
/>
<xsl:value-of select="1 div (1 + $e-to-the-minus-x-power)"/>
When $x has the value 0.6 I get this result: 0.645656306189717285
Do you see any errors in how I am computing the sigmoid function?
Is there a better way to do it? That is, one that returns more accurate
results? (However, it already appears to be mighty accurate -- look at all
those digits to the right of the decimal point) Notice that for the variable
$e-to-the-minus-x-power I specified it this way: as="xs:decimal". Should I
have specified it this way: as="xs:float" instead? Would that yield
better/more-accurate/more-reliable/more-whatever results?
Any suggestions you might have would be greatly appreciated.
/Roger