Matthias Boehm created SYSTEMML-1948:
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Summary: New rewrites for pushdown of trace/diag over binary ops
Key: SYSTEMML-1948
URL: https://issues.apache.org/jira/browse/SYSTEMML-1948
Project: SystemML
Issue Type: Task
Reporter: Matthias Boehm
Priority: Minor
This task aims to introduce new rewrite for pushing down trace and diag through
unary and binary element-wise operations. An example, is the following
expression from PPCA: {{trace(ZtZ * (t(C) %*% C))}} which should be rewritten
as follows
{code}
trace(ZtZ * (t(C) %*% C))
-> sum(diag(ZtZ) * diag(t(C) %*% C))
-> sum(diag(ZtZ) * t(colSums(C^2)))
-> t(colSums(C^2)) %*% diag(ZtZ)
{code}
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