A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit <a rel="external noopener" href="https://www.cc.gatech.edu/fac/vempala/papers/tensor.pdf">the original URL</a>. The file type is <code>application/pdf</code>.
Tensor decomposition and approximation schemes for constraint satisfaction problems
<span title="">2005</span>
<i title="ACM Press">
<a target="_blank" rel="noopener" href="https://fatcat.wiki/container/jlc5kugafjg4dl7ozagimqfcbm" style="color: black;">Proceedings of the thirty-seventh annual ACM symposium on Theory of computing - STOC '05</a>
</i>
Preserved Fulltext
The only general class of MAX-rCSP problems for which Polynomial Time Approximation Schemes (PTAS) are known are the dense problems. In this paper, we give PTAS's for a much larger class of weighted MAX-rCSP problems which includes as special cases the dense problems and, for r = 2, all metric instances (where the weights satisfy the triangle inequality) and quasimetric instances; for r > 2, our class includes a generalization of metrics. Our algorithms are based on low-rank approximations with
<span class="external-identifiers">
<a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1145/1060590.1060701">doi:10.1145/1060590.1060701</a>
<a target="_blank" rel="external noopener" href="https://dblp.org/rec/conf/stoc/VegaKKV05.html">dblp:conf/stoc/VegaKKV05</a>
<a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/7cq23vvqljddrepbxunm2gxt44">fatcat:7cq23vvqljddrepbxunm2gxt44</a>
</span>
more »
... two novel features: (1) a method of approximating a tensor by the sum of a small number of "rank-1" tensors, akin to the traditional Singular Value Decomposition (this might be of independent interest) and (2) a simple way of scaling the weights. Besides MAX-rCSP problems, we also give PTAS's for problems with a constant number of global constraints such as maximum weighted graph bisection and some generalizations.
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170811172230/https://www.cc.gatech.edu/fac/vempala/papers/tensor.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext">
<button class="ui simple right pointing dropdown compact black labeled icon button serp-button">
<i class="icon ia-icon"></i>
Web Archive
[PDF]
<div class="menu fulltext-thumbnail">
<img src="https://blobs.fatcat.wiki/thumbnail/pdf/33/05/33054d1dd83b36187b0d15e11162232a4cbc80e5.180px.jpg" alt="fulltext thumbnail" loading="lazy">
</div>
</button>
</a>
<a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1145/1060590.1060701">
<button class="ui left aligned compact blue labeled icon button serp-button">
<i class="external alternate icon"></i>
acm.org
</button>
</a>