Learning Binary Perceptrons Perfectly Efficiently

Shao C. Fang, Santosh S. Venkatesh
<span title="">1996</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/p6ovb2qpkfenhmb7mcksobrcxq" style="color: black;">Journal of computer and system sciences (Print)</a> </i> &nbsp;
The majority rule algorithm for learning binary weights for a perceptron is analysed under the uniform distribution on inputs. It is shown that even though the algorithm is demonstrably inconsistent on random samples for very small sample sizes, it nevertheless exhibits a curious and abrupt asymptotic transition to consistency at moderate sample sizes. Particular consequences are that the algorithm PAC-learns majority functions in linear time from small samples and that, while the general
more &raquo; ... t of binary integer programming embodied here is NPcomplete, almost all instances of the problem are tractable given a sufficient number of inequalities to be satisfies. ]
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1006/jcss.1996.0028">doi:10.1006/jcss.1996.0028</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/gtrw3o7aofah7a5mji3673vxri">fatcat:gtrw3o7aofah7a5mji3673vxri</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170926222455/http://publisher-connector.core.ac.uk/resourcesync/data/elsevier/pdf/466/aHR0cDovL2FwaS5lbHNldmllci5jb20vY29udGVudC9hcnRpY2xlL3BpaS9zMDAyMjAwMDA5NjkwMDI4OA%3D%3D.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/53/17/5317298635a0ed2d22e1060c4390a15e6c34c0d1.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1006/jcss.1996.0028"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>