<p>I've fixed issues and I've thought out tests in order to ensure that a splitting hyperplane exists.</p>

<p>Two points are situated on opposite sides of a hyperplane if the hyperplane expression takes different signs on these points. Thus I can find the hyperplane as the solution of a system of inequalities. I use a simple iterative method in order to find the solution of the system. I thought it shouldn't work, but I tried a number of different seeds and it seems it works. </p>

<p style="font-size:small;-webkit-text-size-adjust:none;color:#666;">&mdash;<br />You are receiving this because you are subscribed to this thread.<br />Reply to this email directly, <a href="https://github.com/mlpack/mlpack/pull/726#issuecomment-238101451">view it on GitHub</a>, or <a href="https://github.com/notifications/unsubscribe-auth/AJ4bFHduIGoG7sKhm81cu2Bvoowb2l6Qks5qdivcgaJpZM4JOuGE">mute the thread</a>.<img alt="" height="1" src="https://github.com/notifications/beacon/AJ4bFIY--hQ7YEFeu27kixMUbOh3D1ULks5qdivcgaJpZM4JOuGE.gif" width="1" /></p>
<div itemscope itemtype="http://schema.org/EmailMessage">
<div itemprop="action" itemscope itemtype="http://schema.org/ViewAction">
  <link itemprop="url" href="https://github.com/mlpack/mlpack/pull/726#issuecomment-238101451"></link>
  <meta itemprop="name" content="View Pull Request"></meta>
</div>
<meta itemprop="description" content="View this Pull Request on GitHub"></meta>
</div>

<script type="application/json" data-scope="inboxmarkup">{"api_version":"1.0","publisher":{"api_key":"05dde50f1d1a384dd78767c55493e4bb","name":"GitHub"},"entity":{"external_key":"github/mlpack/mlpack","title":"mlpack/mlpack","subtitle":"GitHub repository","main_image_url":"https://assets-cdn.github.com/images/modules/aws/aws-bg.jpg","avatar_image_url":"https://cloud.githubusercontent.com/assets/143418/15842166/7c72db34-2c0b-11e6-9aed-b52498112777.png","action":{"name":"Open in GitHub","url":"https://github.com/mlpack/mlpack"}},"updates":{"snippets":[{"icon":"PERSON","message":"@lozhnikov in #726: I've fixed issues and I've thought out tests in order to ensure that a splitting hyperplane exists.\r\n\r\nTwo points are situated on opposite sides of a hyperplane if the hyperplane expression takes different signs on these points. Thus I can find the hyperplane as the solution of a system of inequalities. I use a simple iterative method in order to find the solution of the system. I thought it shouldn't work, but I tried a number of different seeds and it seems it works. "}],"action":{"name":"View Pull Request","url":"https://github.com/mlpack/mlpack/pull/726#issuecomment-238101451"}}}</script>