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Group Sparse Topical Coding <br />
Group Lasso <br />
words <br />
codes <br />
Words to Codes <br />
Objective function: <br />
( )<br />
K<br />
T<br />
s, β ∑∑ (<br />
d, n. ;<br />
d, n. βn. ) + λ∑| d,. k<br />
|<br />
2<br />
+ λ∑| d, n. |<br />
1<br />
d∈D n∈ d k= 1<br />
n∈d<br />
argmin L w s s s<br />
Lasso à add sparse control on individual variables!<br />
Group Lasso à add sparse control on group of variables <br />
K<br />
K<br />
T<br />
dn , . dn , .<br />
βn. ∑ dnk ,<br />
βnk dn , . ∑ dnk ,<br />
βnk<br />
k= 1 k=<br />
1<br />
Lw ( ; s ) = s − w ln( s ) + C
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