Learning to Predict Combinatorial Structures [article]

Shankar Vembu
<span title="2010-06-26">2010</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
The major challenge in designing a discriminative learning algorithm for predicting structured data is to address the computational issues arising from the exponential size of the output space. Existing algorithms make different assumptions to ensure efficient, polynomial time estimation of model parameters. For several combinatorial structures, including cycles, partially ordered sets, permutations and other graph classes, these assumptions do not hold. In this thesis, we address the problem
more &raquo; ... designing learning algorithms for predicting combinatorial structures by introducing two new assumptions: (i) The first assumption is that a particular counting problem can be solved efficiently. The consequence is a generalisation of the classical ridge regression for structured prediction. (ii) The second assumption is that a particular sampling problem can be solved efficiently. The consequence is a new technique for designing and analysing probabilistic structured prediction models. These results can be applied to solve several complex learning problems including but not limited to multi-label classification, multi-category hierarchical classification, and label ranking.
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/0912.4473v2">arXiv:0912.4473v2</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/olzo64uyxfg5jcjjvtjidvek54">fatcat:olzo64uyxfg5jcjjvtjidvek54</a> </span>
<a target="_blank" rel="noopener" href="https://archive.org/download/arxiv-0912.4473/0912.4473.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> File Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/97/cb/97cb23db4fc6902f10e089f32c075dc30cca28f2.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/0912.4473v2" title="arxiv.org access"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> arxiv.org </button> </a>