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Subject: Re: Is there any equivalent of kron function in DML ?
To: dev@systemml.incubator.apache.org
From: "Matthias Boehm" <mboehm@us.ibm.com>
Date: Tue, 15 Dec 2015 09:02:46 +0100
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Hi Sourav,

well, we do not support Kronecker products K =3D kron(X,Y) yet. However, as=
 a
workaround you could indeed create a custom permutation matrix P from X,
where

P[1:nrow(Y),] =3D diag(matrix(as.scalar(X[1,1]),nrow(Y),1))
P[nrow(Y)+1:2*nrow(Y),] =3D diag(matrix(as.scalar(X[1,2]),nrow(Y),1))
...

and subsequently create a linearized output with

K =3D P %*% Y

Finally, we provide a reshape matrix constructor matrix(K, rows=3D...,
cols=3D...) that allows you to rearrange your entries as needed. If you run
this on large data for X, however, we might want to put this on the roadmap
for 2016. Could you share the characteristics of the workloads you have in
mind?


Regards,
Matthias


From:	Sourav Mazumder <sourav.mazumder00@gmail.com>
To:	dev@systemml.incubator.apache.org
Date:	12/14/2015 11:56 PM
Subject:	Is there any equivalent of kron function in DML ?


Hi,

Is there any equivalent to kron function (of Matlab) in DML ?

Can I use the matrix multiplication %*% for the same ?

Regards,
Sourav


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<html><body><p>Hi Sourav,<br><br>well, we do not support Kronecker products=
 K =3D kron(X,Y) yet. However, as a workaround you could indeed create a cu=
stom permutation matrix P from X, where <br><br><font face=3D"Courier New">=
P[1:nrow(Y),] =3D diag(matrix(as.scalar(X[1,1]),nrow(Y),1))</font><br><font=
 face=3D"Courier New">P[nrow(Y)+1:2*nrow(Y),] =3D diag(matrix(as.scalar(X[1=
,2]),nrow(Y),1))</font><br>...<br><br>and subsequently create a linearized =
output with <br><br><font face=3D"Courier New">K =3D P %*% Y</font><br><br>=
Finally, we provide a reshape matrix constructor matrix(K, rows=3D..., cols=
=3D...) that allows you to rearrange your entries as needed. If you run thi=
s on large data for X, however, we might want to put this on the roadmap fo=
r 2016. Could you share the characteristics of the workloads you have in mi=
nd?<br><br><br>Regards,<br>Matthias<br><br><img width=3D"16" height=3D"16" =
src=3D"cid:1=5F=5F=3D8FBBF58FDFB9A8A38f9e8a93df938690918c8FB@" border=3D"0"=
 alt=3D"Inactive hide details for Sourav Mazumder ---12/14/2015 11:56:52 PM=
---Hi, Is there any equivalent to kron function (of Matlab) "><font color=
=3D"#424282">Sourav Mazumder ---12/14/2015 11:56:52 PM---Hi, Is there any e=
quivalent to kron function (of Matlab) in DML ?</font><br><br><font size=3D=
"2" color=3D"#5F5F5F">From:        </font><font size=3D"2">Sourav Mazumder =
&lt;sourav.mazumder00@gmail.com&gt;</font><br><font size=3D"2" color=3D"#5F=
5F5F">To:        </font><font size=3D"2">dev@systemml.incubator.apache.org<=
/font><br><font size=3D"2" color=3D"#5F5F5F">Date:        </font><font size=
=3D"2">12/14/2015 11:56 PM</font><br><font size=3D"2" color=3D"#5F5F5F">Sub=
ject:        </font><font size=3D"2">Is there any equivalent of kron functi=
on in DML ?</font><br><hr width=3D"100%" size=3D"2" align=3D"left" noshade =
style=3D"color:#8091A5; "><br><br><br><tt>Hi,<br><br>Is there any equivalen=
t to kron function (of Matlab) in DML ?<br><br>Can I use the matrix multipl=
ication %*% for the same ?<br><br>Regards,<br>Sourav<br></tt><br><BR>
</body></html>

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