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https://issues.apache.org/jira/browse/IGNITE-13392?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=17187203#comment-17187203
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Mark Andreev commented on IGNITE-13392:
---------------------------------------
Test cases:
{code:java}
v = {1.0, -1.0, 0.0}
power = 3
expResult = 1.25
evaluated = 0{code}
{code:java}
v = {1.0, -1.0, 0.0}
power = 5
expResult = 1.14
evaluated = 0{code}
> Incorrect Vector::kNorm evaluation for odd powers
> -------------------------------------------------
>
> Key: IGNITE-13392
> URL: https://issues.apache.org/jira/browse/IGNITE-13392
> Project: Ignite
> Issue Type: Bug
> Components: ml
> Reporter: Mark Andreev
> Assignee: Mark Andreev
> Priority: Minor
> Time Spent: 10m
> Remaining Estimate: 0h
>
> Current implementation of `Vector::kNorm` is incorrect.
> Current formula is
> (`org.apache.ignite.ml.math.primitives.vector.AbstractVector:882`):
> {code:java}
> (\sum_{i}{x^p})^{1/p}
> {code}
> But correct formula is:
> {code:java}
> (\sum_{i}{|x|^p})^{1/p}
> {code}
> We can verify this using lectures
> ([https://www.math.usm.edu/lambers/mat610/sum10/lecture2.pdf)] or using
> Wolfram Mathematica:
> {code:java}
> > Norm[{x, y, z}, p]
> (Abs[x]^p+Abs[y]^p+Abs[z]^p)^(1/p){code}
>
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