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text-align: justify; background-color: transparent;">支持向量機(jī)原理</span></span></p> <div id="tpnrxl7j" class="Section1"> <p class="21" style="margin-top:0cm;margin-right:0cm;margin-bottom:7.05pt; margin-left:0cm;text-align:justify;text-justify:inter-ideograph;text-indent: 0cm;line-height:11.0pt;mso-line-height-rule:exactly;mso-list:l0 level1 lfo1; tab-stops:16.95pt;background:transparent"><span style="font-size: x-small;"><!--[if !supportLists]--><span style="font-family: SimSun;">4.<span style="font-stretch: normal; line-height: normal; font-family: 'Times New Roman';"> </span></span><!--[endif]--><span id="tpnrxl7j" class="2"><span style="font-family: SimSun;">2. 1</span></span><span id="tpnrxl7j" class="2">支持向量機(jī)</span></span></p> <p class="21" style="margin-top:0cm;text-align:justify;text-justify:inter-ideograph; text-indent:26.0pt;line-height:23.3pt;mso-line-height-rule:exactly;background: transparent"><span style="font-size: x-small;"><span id="tpnrxl7j" class="2">為了處理模式識(shí)別的問(wèn)題</span><span id="tpnrxl7j" class="2TimesNewRoman26"><span lang="EN-US">Vapnik</span></span><span id="tpnrxl7j" class="2">提出了支持向量機(jī)的想法，通過(guò)的不斷研究和 探索，支持向量機(jī)知識(shí)理論取得了很大的進(jìn)展。支持向量機(jī)可以被用來(lái)尋找線性可分 情況下的最優(yōu)分類面。最優(yōu)分類面不僅要求能將兩類不同的數(shù)據(jù)正確地分類(訓(xùn)練失 敗率接近0)，而且還要盡可能的使它們的分類間距到達(dá)最大。</span><span id="tpnrxl7j" class="2TimesNewRoman26"><span lang="EN-US">SVM</span></span><span id="tpnrxl7j" class="2">是為了能夠?qū)ふ?到一個(gè)滿足分類要求的超平面而被研發(fā)出來(lái)的，并且它需要使訓(xùn)練集中的點(diǎn)距離這個(gè) 分類面達(dá)到的距離最遠(yuǎn)，也就是說(shuō)希望能夠?qū)ふ业揭粋€(gè)分類面使它雙側(cè)的空白地區(qū)盡 可能的大。過(guò)兩種不同類型的樣本，離分類面最近的，并且能夠平行于最優(yōu)分類面- 超平面</span><span id="tpnrxl7j" class="2TimesNewRoman26"><span lang="EN-US">Hu</span></span><span id="tpnrxl7j" class="2"><span lang="EN-US" style="font-family: SimSun;"> </span></span><span id="tpnrxl7j" class="2TimesNewRoman26"><span lang="EN-US">H</span></span><span id="tpnrxl7j" class="2"><sub><span style="font-family: SimSun;">2</span></sub></span><span id="tpnrxl7j" class="2">的訓(xùn)練樣本就稱為支持向量。</span></span></p> </div> <p><span style="font-size: x-small;"> <!--[if !supportTextWrap]--> <!--[endif]--> </span></p> <p class="21" style="margin-top:12.0pt;text-align:justify;text-justify:inter-ideograph; text-indent:25.0pt;line-height:23.3pt;mso-line-height-rule:exactly;background: transparent"><span style="font-size: x-small;"><span id="tpnrxl7j" class="2">大多數(shù)條件下，需要訓(xùn)練的樣本是線性不可分的，為了處理這一問(wèn)題</span><span id="tpnrxl7j" class="2TimesNewRoman26"><span lang="EN-US">Vapnik</span></span><span id="tpnrxl7j" class="2">等 人提出了廣義分類面（松弛子）的想法。針對(duì)非線性分類問(wèn)題利用非線性變換將其轉(zhuǎn) 化為某個(gè)高維空間中的線性問(wèn)題，然后在這個(gè)高維空間上尋找最優(yōu)分類面。映射空間 可以是有限維也可以是無(wú)限維的。分類函數(shù)涉及到的只是樣本之間的內(nèi)積運(yùn)算，因此 高維度空間只需要進(jìn)行內(nèi)積運(yùn)算即可，這種內(nèi)積運(yùn)算的運(yùn)算形式可通過(guò)原空間自定義 的函數(shù)來(lái)實(shí)現(xiàn)，甚至沒(méi)有必要知道其變換的形式。</span></span></p> <p class="21" style="margin-top:0cm;text-align:justify;text-justify:inter-ideograph; text-indent:25.0pt;line-height:23.3pt;mso-line-height-rule:exactly;background: transparent"><span style="font-size: x-small;"><span id="tpnrxl7j" class="2">依據(jù)</span><span id="tpnrxl7j" class="2TimesNewRoman26"><span lang="EN-US">Hibert</span></span><span id="tpnrxl7j" class="2"><span style="font-family: SimSun;">-</span></span><span id="tpnrxl7j" class="2TimesNewRoman26"><span lang="EN-US">Schmidt</span></span><span id="tpnrxl7j" class="2">定理，任意函數(shù)只要能夠符合</span><span id="tpnrxl7j" class="2TimesNewRoman26"><span lang="EN-US">Mercer</span></span><span id="tpnrxl7j" class="2">條件就可以作為計(jì)算內(nèi) 積的函數(shù)使用。它能夠?qū)崿F(xiàn)非線性分類轉(zhuǎn)變?yōu)榫€性分類，而計(jì)算難度卻是一樣的。</span></span></p> <p class="21" style="margin-top:0cm;text-align:justify;text-justify:inter-ideograph; text-indent:25.0pt;line-height:23.3pt;mso-line-height-rule:exactly;background: transparent"><span style="font-size: x-small;"><span id="tpnrxl7j" class="2">通俗易懂的說(shuō)支持向量機(jī)就是通過(guò)內(nèi)積核函數(shù)將輸入樣本從低維空間映射到一 個(gè)高維空間，然后在這個(gè)高維空間上尋找最優(yōu)分類面。支持向量機(jī)的形式和神經(jīng)網(wǎng)絡(luò) 非常類似<sup>[3</sup>&<sup>37]</sup>。其示意圖如4.3。</span><br clear="all" style="mso-special-character:line-break;page-break-before:always" /> </span></p> <p class="21" style="margin-top:0cm;margin-right:0cm;margin-bottom:8.0pt; margin-left:0cm;text-align:justify;text-justify:inter-ideograph;text-indent: 0cm;line-height:11.0pt;mso-line-height-rule:exactly;mso-list:l1 level1 lfo2; tab-stops:17.7pt;background:transparent"><span style="font-size: x-small;"><!--[if !supportLists]--><span style="font-family: SimSun; letter-spacing: 1pt;">4.<span style="font-stretch: normal; line-height: normal; font-family: 'Times New Roman';"> </span></span><span id="tpnrxl7j" class="2"><span style="font-family: SimSun;">2. 2</span></span><span id="tpnrxl7j" class="2">核函數(shù)</span></span></p> <p class="21" style="margin-top:0cm;text-align:justify;text-justify:inter-ideograph; text-indent:0cm;line-height:23.3pt;mso-line-height-rule:exactly;background: transparent"><span style="font-size: x-small;"><span id="tpnrxl7j" class="2">內(nèi)積核函數(shù)種類很多，不同的核函數(shù)有著不同的應(yīng)用場(chǎng)合和運(yùn)算形式。</span></span></p> <p class="21" align="left" style="margin: 0cm 0cm 4.75pt; text-indent: 0cm; line-height: 11pt; background: transparent;"> </p> <p><span style="font-size: x-small;"> <p class="21" align="left" style="margin: 0cm 0cm 4.75pt; text-indent: 0cm; line-height: 11pt; background: transparent;"><span id="tpnrxl7j" class="2Tahoma"><span lang="EN-US"> </span></span></p> </span></p> <p class="21" align="left" style="margin: 0cm 0cm 4.75pt; text-indent: 0cm; line-height: 11pt; background: transparent;"><st1:chsdate year="1899" month="12" day="30" islunardate="False" isrocdate="False" w:st="on"></st1:chsdate><span style="font-size: x-small;"><st1:chsdate year="1899" month="12" day="30" islunardate="False" isrocdate="False" w:st="on"><span id="tpnrxl7j" class="2Tahoma"><span lang="EN-US">4</span></span><span id="tpnrxl7j" class="2TimesNewRoman12"><span lang="EN-US">. </span></span><span id="tpnrxl7j" class="2Tahoma"><span lang="EN-US">2</span></span><span id="tpnrxl7j" class="2TimesNewRoman12"><span lang="EN-US">. </span></span><span id="tpnrxl7j" class="2Tahoma">4</span></st1:chsdate><span id="tpnrxl7j" class="2">支持向量機(jī)逆系統(tǒng)</span></span></p> <div><span style="font-size: x-small;"><span id="tpnrxl7j" class="2" style="line-height: 20.1333332061768px; text-align: center;"><span lang="EN-US"> 龍門數(shù)控加工中心雙電磁懸浮具有較強(qiáng)的耦合性，為了達(dá)到對(duì)其解耦本文采用逆 系統(tǒng)解耦控制方法。但是由于電磁懸浮系統(tǒng)是非線性系統(tǒng)因此其逆系統(tǒng)是不易通過(guò)計(jì) 算推導(dǎo)出來(lái)的。為了解決這一問(wèn)題利用支持向量機(jī)非線性回歸任意逼近函數(shù)的功能來(lái) 擬合雙電磁懸浮系統(tǒng)的逆系統(tǒng)</span><sup>[43</sup>_<sup>45]</sup><span lang="EN-US">。</span></span><span id="tpnrxl7j" class="2" style="line-height: 20.1333332061768px; text-align: center;">支持向量機(jī)擬合耦合雙電磁懸浮系統(tǒng)</span><span id="tpnrxl7j" class="2TimesNewRoman26" style="line-height: 20.1333332061768px; text-align: center;"><span lang="EN-US">a</span></span><span id="tpnrxl7j" class="2" style="line-height: 20.1333332061768px; text-align: center;">階逆系 統(tǒng)流程圖如圖<span lang="EN-US" style="font-family: SimSun;">4.4</span>所示。</span></span></div> <p><span style="font-size: x-small;"> <!--[if !supportTextWrap]--> <!--[endif]--> </span></p> <p class="21" style="margin-top:12.7pt;text-align:justify;text-justify:inter-ideograph; text-indent:24.0pt;line-height:23.3pt;mso-line-height-rule:exactly;background: transparent"><span style="font-size: x-small;"><span id="tpnrxl7j" class="2">將擬合出來(lái)的逆系統(tǒng)串聯(lián)在被控系統(tǒng)前將非線性耦合系統(tǒng)解耦并且轉(zhuǎn)化為具有</span><span id="tpnrxl7j" class="2"> </span><span id="tpnrxl7j" class="2">線性特征的偽線性系統(tǒng)</span><span id="tpnrxl7j" class="2">，</span><span id="tpnrxl7j" class="2">從而降低了解耦后獨(dú)立系統(tǒng)的控制難度。</span></span></p> <p class="21" style="margin-top:12.7pt;text-align:justify;text-justify:inter-ideograph; text-indent:24.0pt;line-height:23.3pt;mso-line-height-rule:exactly;background: transparent"> </p> <p class="21" style="margin-top:12.7pt;text-align:justify;text-justify:inter-ideograph; text-indent:24.0pt;line-height:23.3pt;mso-line-height-rule:exactly;background: transparent"><span style="font-size:9.0pt;font-family:宋體;mso-ascii-font-family: "Times New Roman";mso-hansi-font-family:"Times New Roman";mso-bidi-font-family: "Times New Roman";mso-font-kerning:1.0pt;mso-ansi-language:EN-US;mso-fareast-language: ZH-CN;mso-bidi-language:AR-SA">本文采摘自“數(shù)控加工中心龍門磁懸浮系統(tǒng)耦合分析及控制研究”，因?yàn)榫庉嬂щy導(dǎo)致有些函數(shù)、表格、圖片、內(nèi)容無(wú)法顯示，有需要者可以在網(wǎng)絡(luò)中查找相關(guān)文章！本文由伯特利數(shù)控整理發(fā)表文章均來(lái)自網(wǎng)絡(luò)僅供學(xué)習(xí)參考，轉(zhuǎn)載請(qǐng)注明！</span></p></div> <div id="tpnrxl7j" class="blank30"></div> <!-- tag --> <div id="tpnrxl7j" class="blank10"></div> 標(biāo)簽： <a 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<div id="tpnrxl7j" class="container list-container"> <!-- 內(nèi)容列表開(kāi)始 --> <div id="tpnrxl7j" class="news-list list-border list-border-w"> <div id="tpnrxl7j" class="list-date"> <span>11</span> <p>2024-12</p> </div> <h4><a title="U600S五軸加工中心視頻" href="/bethel/video/show-3042.html" target="_blank">U600S五軸加工中心視頻</a></h4> <p>此視頻詳細(xì)介紹了U600S高性能五軸加工中心各種參數(shù)及說(shuō)明！… <a href="/bethel/video/show-3042.html" target="_blank">[了解更多]</a></p> </div> <div id="tpnrxl7j" class="news-list list-border list-border-w"> <div id="tpnrxl7j" class="list-date"> <span>05</span> <p>2024-11</p> </div> <h4><a title="六角亭五軸加工工藝" href="/bethel/5-aix/show-2966.html" target="_blank">六角亭五軸加工工藝</a></h4> <p>本文以組合式六角亭模型為實(shí)例，分析工藝難點(diǎn)與加工可行性，指出該模型的加工難點(diǎn)是模型形狀不規(guī)則和整體剛性差，并通過(guò)設(shè)計(jì)新的工藝方案解決加工難點(diǎn)，完成了模型整體的加工。新的加工工藝有助于提高加工效率和精度，為五軸數(shù)控加工提供了一個(gè)典型案例，對(duì)于五軸加工中心數(shù)控加工也具有指導(dǎo)作用和重要… <a href="/bethel/5-aix/show-2966.html" target="_blank">[了解更多]</a></p> </div> <div id="tpnrxl7j" 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