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<!DOCTYPE html>
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Veal's Blog
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<a class="article-title" href="/2020/08/21/kkt/"
>凸二次规划及其在SVM、SMO算法中的应用</a>
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<a href="/2020/08/21/kkt/" class="article-date">
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<p>本文的行文思路为：首先，介绍一般化的KKT定理；为了介绍KKT定理在SVM中问题的应用，简要给出SVM定义，并给出间隔最大化对应的凸二次规划问题——原问题与对偶问题的形式；为求解该凸二次规划问题，从对偶问题入手，求解得到最优解<span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><msup><mi>α</mi><mo>∗</mo></msup></mrow><annotation encoding="application/x-tex">\alpha^*</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.688696em;vertical-align:0em;"></span><span class="mord"><span class="mord mathdefault" style="margin-right:0.0037em;">α</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.688696em;"><span style="top:-3.063em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mbin mtight">∗</span></span></span></span></span></span></span></span></span></span></span>，将KKT定理应用于该凸二次规划问题的拉格朗日函数，最后得到最优解<span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><msup><mi>w</mi><mo>∗</mo></msup><mo separator="true">,</mo><msup><mi>b</mi><mo>∗</mo></msup></mrow><annotation encoding="application/x-tex">w^*, b^*</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.8888799999999999em;vertical-align:-0.19444em;"></span><span class="mord"><span class="mord mathdefault" style="margin-right:0.02691em;">w</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.688696em;"><span style="top:-3.063em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mbin mtight">∗</span></span></span></span></span></span></span></span><span class="mpunct">,</span><span class="mspace" style="margin-right:0.16666666666666666em;"></span><span class="mord"><span class="mord mathdefault">b</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.688696em;"><span style="top:-3.063em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mbin mtight">∗</span></span></span></span></span></span></span></span></span></span></span>应满足的充要条件。</p>
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<a class="article-title" href="/2020/08/15/mlp/"
>碎语</a>
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<time datetime="2020-08-15T02:01:03.000Z" itemprop="datePublished">2020-08-15</time>
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<a class="article-category-link" href="/categories/%E6%97%A5%E5%B8%B8/">日常</a>
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<p>惊觉已经八月中旬了，假期余额不足一个月。</p>
<p>细想起来，六月底从兰州回来似乎也没做什么实质意义的事。在我眼里，假期是“网上冲浪、写写代码、读读论文”，在我妈眼里“学车、学车、学车”。平时一向与父母相处融洽欢乐，为了学车这事我有时也在家抱怨，觉得自己做的很不对，因为不高兴的根源来源于驾校管理不周，而非父母：来回两个小时路程，在训练场上干等教练一小时，自己练上半小时、等同学半小时，时间利用率低得可怕。尽管在手机上下了刘汝佳老师的书，但没有纸笔和电脑，阅读效率也低了些；更别提在路上读论文了，在家坐着读我都琢磨不透呢。</p>
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>大整数类设计文档</a>
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<time datetime="2020-08-14T10:17:03.000Z" itemprop="datePublished">2020-08-14</time>
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<a class="article-category-link" href="/categories/%E7%AE%97%E6%B3%95%E7%AB%9E%E8%B5%9B/">算法竞赛</a> / <a class="article-category-link" href="/categories/%E7%AE%97%E6%B3%95%E7%AB%9E%E8%B5%9B/cpp%E5%9F%BA%E7%A1%80/">cpp基础</a>
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<p><em>大整数类断断续续写了两天，最后写除法的时候才发现最大的问题是没有明确的输入输出限制意识，导致隐藏bug</em><br>输入：必须为正整数，四则运算、比较运算符仅限于正整数之间<br>输出：减法输出可为负数，其余均应为非负整数。</p>
<p>完整代码见<a href="https://gitee.com/VealM/UVaOJ/blob/master/Chapter5/textbook/5-2-3.cpp" target="_blank" rel="noopener">Gitee</a>或<a href="https://github.com/VealM/UVaOJ/blob/master/Chapter5/textbook/5-2-3.cpp" target="_blank" rel="noopener">Github</a></p>
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<a class="article-title" href="/2020/08/06/UVaOJ3/"
>入门经典第三章之字符串（下）</a>
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<a href="/2020/08/06/UVaOJ3/" class="article-date">
<time datetime="2020-08-06T01:13:43.000Z" itemprop="datePublished">2020-08-06</time>
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<a class="article-category-link" href="/categories/%E7%AE%97%E6%B3%95%E7%AB%9E%E8%B5%9B/">算法竞赛</a> / <a class="article-category-link" href="/categories/%E7%AE%97%E6%B3%95%E7%AB%9E%E8%B5%9B/cpp%E5%9F%BA%E7%A1%80/">cpp基础</a>
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<p>在<a href="https://vealm.gitee.io/2020/07/30/UVaOJ2/">入门经典第三章之字符串（上）</a>中，介绍了cpp字符串及定义其上的运算与操作，在本篇博客中，将结合入门经典的经典例题对字符串进行应用。</p>
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>入门经典第三章之字符串（上）</a>
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<time datetime="2020-07-30T09:27:52.000Z" itemprop="datePublished">2020-07-30</time>
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<p>第三章主要介绍数组和字符串在算法中的应用，原书基于C语言风格字符数组，介绍sprintf, strchr等string.h库中方法。在本篇博客中记录与之对应cpp对于vector, string的处理方法。</p>
<p>在知识构建方面，我倾向于按照以下思路逐步递进：</p>
<ul>
<li>1 数据结构的定义与初始化</li>
<li>2 定义在数据结构上的基本操作</li>
<li>3 遍历访问</li>
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<p>第一、二章内容较为简单，主要涉及到以下几点：</p>
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<p>近期，老师和朋友建议暑期刷LeetCode以增加个人竞争力，关于未来规划，与其想得过多，不如先准备好议价的筹码。</p>
<p>但毕竟是个非科班选手，本科选修的数据结构侧重介绍线性表、树、图的原理，尽管董老师课讲得非常好，但并不是个刷题班（惭愧，好像学得也快忘完了）。作为一个小白，估计刷LeetCode，大约就一直停留于Easy模式，难以前进…</p>
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<p>早上睁眼就收到阿里云服务器已过期的短信，但我都习惯了vscode + remotessh在linux上写各种HelloWorld了…主要爽在命令行的高效操作（rm -rf /*）和包管理，那么试试在win10下进行折腾~<br>主要思路为：<br>利用<a href="https://github.com/JanDeDobbeleer/oh-my-posh" target="_blank" rel="noopener">oh-my-posh</a>对powershell进行强化（命令行）<br>使用<a href="https://scoop.sh/" target="_blank" rel="noopener">scoop</a>进行包管理</p>
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<p>对于大型超算平台，通常采用jupyterlab作为用户接口，我们可以在web端创建、运行python程序。</p>
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