Mark Andreev created IGNITE-13392:
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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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