[jira] [Updated] (IGNITE-13392) Incorrect Vector::kNorm evaluation for odd powers

["Alexey Zinoviev (Jira)" <ji...@apache.org>]

     [ https://issues.apache.org/jira/browse/IGNITE-13392?page=com.atlassian.jira.plugin.system.issuetabpanels:all-tabpanel ]

Alexey Zinoviev updated IGNITE-13392:
-------------------------------------
    Fix Version/s: 2.10

> 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
>             Fix For: 2.10
>
>          Time Spent: 20m
>  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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