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From Alexey Zinoviev <zaleslaw....@gmail.com>
Subject Re: [jira] [Created] (IGNITE-13392) Incorrect Vector::kNorm evaluation for odd powers
Date Sun, 30 Aug 2020 09:48:08 GMT
Great, could you provide in comment some test cases with correct from
formula or wolfram and wrong answers

сб, 29 авг. 2020 г., 22:25 Mark Andreev (Jira) <jira@apache.org>:

> Mark Andreev created IGNITE-13392:
> -------------------------------------
>
>              Summary: Incorrect Vector::kNorm evaluation for odd powers
>                  Key: IGNITE-13392
>                  URL: https://issues.apache.org/jira/browse/IGNITE-13392
>              Project: Ignite
>           Issue Type: Improvement
>           Components: ml
>             Reporter: Mark Andreev
>             Assignee: Mark Andreev
>
>
> 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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