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65 66 <link rel="icon" href="../../_static/favicon.ico"/> 67 <link rel="index" title="ÐлÑавиÑнÑй ÑказаÑелÑ" href="../../genindex.html" /> 68 <link rel="search" title="ÐоиÑк" href="../../search.html" /> 69 <link rel="next" title="ÐадаÑа ÑегÑеÑÑии (аппÑокÑимаÑии)" href="1.html" /> 70 <link rel="prev" title="ÐомаÑнее задание" href="../Sem2/hw.html" /> 71 <meta name="viewport" content="width=device-width, initial-scale=1"/> 72 <meta name="docsearch:language" content="ru"/> 73 </head> 74 75 76 <body data-bs-spy="scroll" data-bs-target=".bd-toc-nav" data-offset="180" data-bs-root-margin="0px 0px -60%" data-default-mode=""> 77 78 79 80 <a id="pst-skip-link" class="skip-link" href="#main-content">ÐеÑейÑи к оÑÐ½Ð¾Ð²Ð½Ð¾Ð¼Ñ ÑодеÑжаниÑ</a> 81 82 <div id="pst-scroll-pixel-helper"></div> 83 84 <button type="button" class="btn rounded-pill" id="pst-back-to-top"> 85 <i class="fa-solid fa-arrow-up"></i> 86 Back to top 87 </button> 88 89 90 <input type="checkbox" 91 class="sidebar-toggle" 92 name="__primary" 93 id="__primary"/> 94 <label class="overlay overlay-primary" for="__primary"></label> 95 96 <input type="checkbox" 97 class="sidebar-toggle" 98 name="__secondary" 99 id="__secondary"/> 100 <label class="overlay overlay-secondary" for="__secondary"></label> 101 102 <div class="search-button__wrapper"> 103 <div class="search-button__overlay"></div> 104 <div class="search-button__search-container"> 105<form class="bd-search d-flex align-items-center" 106 action="../../search.html" 107 method="get"> 108 <i class="fa-solid fa-magnifying-glass"></i> 109 <input type="search" 110 class="form-control" 111 name="q" 112 id="search-input" 113 placeholder="Search this book..." 114 aria-label="Search this book..." 115 autocomplete="off" 116 autocorrect="off" 117 autocapitalize="off" 118 spellcheck="false"/> 119 <span class="search-button__kbd-shortcut"><kbd class="kbd-shortcut__modifier">Ctrl</kbd>+<kbd>K</kbd></span> 120</form></div> 121 </div> 122 123 <header class="bd-header navbar navbar-expand-lg bd-navbar"> 124 </header> 125 126 127 <div class="bd-container"> 128 <div class="bd-container__inner bd-page-width"> 129 130 131 132 <div class="bd-sidebar-primary bd-sidebar"> 133 134 135 136 <div class="sidebar-header-items sidebar-primary__section"> 137 138 139 140 141 </div> 142 143 <div class="sidebar-primary-items__start sidebar-primary__section"> 144 <div class="sidebar-primary-item"> 145 146 147 148<a class="navbar-brand logo" href="../../index.html"> 149 150 151 152 153 154 155 156 157 158 159 <img src="../../_static/logo.jpeg" class="logo__image only-light" alt="ÐÑÑиÑлиÑелÑÐ½Ð°Ñ Ð¼Ð°ÑемаÑика - Home"/> 160
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160 161 162 163</a></div> 164 <div class="sidebar-primary-item"> 165 166
166<script> 167 document.write(` 168 <button class="btn navbar-btn search-button-field search-button__button" title="ÐоиÑк" aria-label="ÐоиÑк" data-bs-placement="bottom" data-bs-toggle="tooltip"> 169 <i class="fa-solid fa-magnifying-glass"></i> 170 <span class="search-button__default-text">ÐоиÑк</span> 171 <span class="search-button__kbd-shortcut"><kbd class="kbd-shortcut__modifier">Ctrl</kbd>+<kbd class="kbd-shortcut__modifier">K</kbd></span> 172 </button> 173 `); 174 </script>
174</div> 175 <div class="sidebar-primary-item"><nav class="bd-links bd-docs-nav" aria-label="Main"> 176 <div class="bd-toc-item navbar-nav active"> 177 178 <ul class="nav bd-sidenav bd-sidenav__home-link"> 179 <li class="toctree-l1"> 180 <a class="reference internal" href="../../index.html"> 181 ÐÑÑиÑлиÑелÑÐ½Ð°Ñ Ð¼Ð°ÑемаÑика 182 </a> 183 </li> 184 </ul> 185 <p aria-level="2" class="caption" role="heading"><span class="caption-text">I.ðÐÑÐ½Ð¾Ð²Ñ Ð²ÑÑиÑлиÑелÑной маÑемаÑики. ÐинейнÑе модели</span></p> 186<ul class="current nav bd-sidenav"> 187<li class="toctree-l1 has-children"><a class="reference internal" href="../Sem1/intro.html">1.1 Ðведение, ЧиÑленное диÑÑеÑенÑиÑование, ÐогÑеÑноÑÑи</a><input class="toctree-checkbox" id="toctree-checkbox-1" name="toctree-checkbox-1" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-1"><i class="fa-solid fa-chevron-down"></i></label><ul> 188<li class="toctree-l2"><a class="reference internal" href="../Sem1/1.html">Ðведение</a></li> 189<li class="toctree-l2"><a class="reference internal" href="../Sem1/2.html">ЧиÑленное диÑÑеÑенÑиÑование</a></li> 190<li class="toctree-l2"><a class="reference internal" href="../Sem1/3.html">ÐогÑеÑноÑÑÑ Ð¼ÐµÑода</a></li> 191<li class="toctree-l2"><a class="reference internal" href="../Sem1/4.html">ÐогÑеÑноÑÑÑ Ð¼Ð°Ñинного окÑÑглениÑ</a></li> 192<li class="toctree-l2"><a class="reference internal" href="../Sem1/5.html">ÐпÑималÑнÑй Ñаг диÑÑеÑенÑиÑованиÑ</a></li> 193<li class="toctree-l2"><a class="reference internal" href="../Sem1/hw.html">ÐомаÑнее задание</a></li> 194</ul> 195</li> 196<li class="toctree-l1 has-children"><a class="reference internal" href="../Sem2/intro.html">1.2 ÐоÑмÑ. ЧиÑла обÑÑловленноÑÑи</a><input class="toctree-checkbox" id="toctree-checkbox-2" name="toctree-checkbox-2" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-2"><i class="fa-solid fa-chevron-down"></i></label><ul> 197<li class="toctree-l2"><a class="reference internal" href="../Sem2/1.html">ÐадаÑи вÑÑиÑлиÑелÑной линейной алгебÑÑ</a></li> 198<li class="toctree-l2"><a class="reference internal" href="../Sem2/2.html">ÐÐ¸Ð½ÐµÐ¹Ð½Ð°Ñ Ð°Ð»Ð³ÐµÐ±Ñа (напоминание)</a></li> 199<li class="toctree-l2"><a class="reference internal" href="../Sem2/3.html">ЧиÑла обÑÑловленноÑÑи</a></li> 200<li class="toctree-l2"><a class="reference internal" href="../Sem2/hw.html">ÐомаÑнее задание</a></li> 201</ul> 202</li> 203<li class="toctree-l1 current active has-children"><a class="current reference internal" href="#">1.3 ÐÐ¸Ð½ÐµÐ¹Ð½Ð°Ñ ÑегÑеÑÑиÑ. PCA</a><input checked="" class="toctree-checkbox" id="toctree-checkbox-3" name="toctree-checkbox-3" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-3"><i class="fa-solid fa-chevron-down"></i></label><ul> 204<li class="toctree-l2"><a class="reference internal" href="1.html">ÐадаÑа ÑегÑеÑÑии (аппÑокÑимаÑии)</a></li> 205<li class="toctree-l2"><a class="reference internal" href="2.html">ÐÐ¸Ð½ÐµÐ¹Ð½Ð°Ñ ÑегÑеÑÑиÑ</a></li> 206<li class="toctree-l2"><a class="reference internal" href="3.html">ÐеÑод главнÑÑ ÐºÐ¾Ð¼Ð¿Ð¾Ð½ÐµÐ½Ñ (PCA)</a></li> 207<li class="toctree-l2"><a class="reference internal" href="hw.html">ÐомаÑнее задание</a></li> 208</ul> 209</li> 210<li class="toctree-l1 has-children"><a class="reference internal" href="../Sem4/intro.html">1.4 ÐзвеÑеннÑй ÐÐÐ. ÐогÑеÑноÑÑи веÑов. ÐаÑÑиÑнÑе ÑазложениÑ</a><input class="toctree-checkbox" id="toctree-checkbox-4" name="toctree-checkbox-4" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-4"><i class="fa-solid fa-chevron-down"></i></label><ul> 211<li class="toctree-l2"><a class="reference internal" href="../Sem4/1.html">ÐаÑÑиÑнÑе ÑазложениÑ</a></li> 212<li class="toctree-l2"><a class="reference internal" href="../Sem4/2.html">ÐогÑеÑноÑÑи даннÑÑ Ð¸ веÑов</a></li> 213<li class="toctree-l2"><a class="reference internal" href="../Sem4/hw.html">ÐомаÑнее задание</a></li> 214</ul> 215</li> 216</ul> 217<p aria-level="2" class="caption" role="heading"><span class="caption-text">II.â¨ÐбÑабоÑка даннÑÑ Ð¸ опÑимизаÑиÑ. ÐелинейнÑе модели</span></p> 218<ul class="nav bd-sidenav"> 219<li class="toctree-l1 has-children"><a class="reference internal" href="../../Block2/Sem1/intro.html">2.1 ÐайеÑовÑкое оÑенивание. РегÑлÑÑизаÑиÑ. ЧиÑленное ÑеÑение ÑегÑеÑÑии</a><input class="toctree-checkbox" id="toctree-checkbox-5" name="toctree-checkbox-5" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-5"><i class="fa-solid fa-chevron-down"></i></label><ul> 220<li class="toctree-l2"><a class="reference internal" href="../../Block2/Sem1/1.html">ÐÑиÑеÑии пеÑеобÑÑÐµÐ½Ð¸Ñ Ð¸ ÑегÑлÑÑизаÑиÑ</a></li> 221<li class="toctree-l2"><a class="reference internal" href="../../Block2/Sem1/2.html">ТеоÑема ÐайеÑа</a></li> 222 223<li class="toctree-l2"><a class="reference internal" href="../../Block2/Sem1/3.html">ÐÑадиенÑнÑй ÑпÑÑк - ÑиÑленнÑй ÑпоÑоб минимизаÑии Loss-a. ÐÑоÑÑейÑий ÑлÑÑай</a></li> 224<li class="toctree-l2"><a class="reference internal" href="../../Block2/Sem1/4.html">ÐипеÑпаÑамеÑÑÑ Ð¸ кÑоÑÑ-валидаÑиÑ</a></li> 225<li class="toctree-l2"><a class="reference internal" href="../../Block2/Sem1/hw.html">ÐомаÑнее задание</a></li> 226</ul> 227</li> 228<li class="toctree-l1 has-children"><a class="reference internal" href="../../Block2/Sem2/intro.html">2.2 ÐинимизаÑÐ¸Ñ ÑÑнкÑии. ÐÐµÐ»Ð¸Ð½ÐµÐ¹Ð½Ð°Ñ ÑегÑеÑÑиÑ
228</a><input class="toctree-checkbox" id="toctree-checkbox-6" name="toctree-checkbox-6" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-6"><i class="fa-solid fa-chevron-down"></i></label><ul> 229<li class="toctree-l2"><a class="reference internal" href="../../Block2/Sem2/1.html">ÐокалÑÐ½Ð°Ñ Ð¼Ð¸Ð½Ð¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ñ Ð¿Ð¾ одной пеÑеменной</a></li> 230<li class="toctree-l2"><a class="reference internal" href="../../Block2/Sem2/2.html">ÐокалÑÐ½Ð°Ñ Ð¼Ð¸Ð½Ð¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ñ Ð¿Ð¾ неÑколÑким пеÑеменнÑм</a></li> 231<li class="toctree-l2"><a class="reference internal" href="../../Block2/Sem2/3.html">ÐÐµÐ»Ð¸Ð½ÐµÐ¹Ð½Ð°Ñ ÑегÑеÑÑиÑ</a></li> 232<li class="toctree-l2"><a class="reference internal" href="../../Block2/Sem2/hw.html">ÐомаÑнее задание</a></li> 233</ul> 234</li> 235<li class="toctree-l1 has-children"><a class="reference internal" href="../../Block2/Sem3/intro.html">2.3 ÐелинейнÑе ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ñ Ð¸ ÑиÑÑемÑ.</a><input class="toctree-checkbox" id="toctree-checkbox-7" name="toctree-checkbox-7" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-7"><i class="fa-solid fa-chevron-down"></i></label><ul> 236<li class="toctree-l2"><a class="reference internal" href="../../Block2/Sem3/1.html">ÐелинейнÑе ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ñ Ð¾Ð´Ð½Ð¾Ð¹ пеÑеменной</a></li> 237 238<li class="toctree-l2"><a class="reference internal" href="../../Block2/Sem3/2.html">ÐелинейнÑе ÑиÑÑÐµÐ¼Ñ ÑÑавнений</a></li> 239<li class="toctree-l2"><a class="reference internal" href="../../Block2/Sem3/hw.html">ÐомаÑнее задание</a></li> 240</ul> 241</li> 242<li class="toctree-l1 has-children"><a class="reference internal" href="../../Block2/Sem4/intro.html">2.4 ÐлаÑÑеÑизаÑиÑ</a><input class="toctree-checkbox" id="toctree-checkbox-8" name="toctree-checkbox-8" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-8"><i class="fa-solid fa-chevron-down"></i></label><ul> 243<li class="toctree-l2"><a class="reference internal" href="../../Block2/Sem4/1.html">ÐлаÑÑеÑизаÑÐ¸Ñ - ÑÑо ÑÑо и где нÑжно</a></li> 244<li class="toctree-l2"><a class="reference internal" href="../../Block2/Sem4/2.html">ÐеÑÐ¾Ð´Ñ ÐºÐ»Ð°ÑÑеÑизаÑии</a></li> 245<li class="toctree-l2"><a class="reference internal" href="../../Block2/Sem4/3.html">ÐÑенка каÑеÑÑва клаÑÑеÑизаÑии</a></li> 246<li class="toctree-l2"><a class="reference internal" href="../../Block2/Sem4/hw.html">ÐомаÑнее задание</a></li> 247</ul> 248</li> 249<li class="toctree-l1 has-children"><a class="reference internal" href="../../Block2/Sem5/intro.html">2.5* ÐлаÑÑиÑикаÑиÑ. ÐейÑонки</a><input class="toctree-checkbox" id="toctree-checkbox-9" name="toctree-checkbox-9" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-9"><i class="fa-solid fa-chevron-down"></i></label><ul> 250<li class="toctree-l2"><a class="reference internal" href="../../Block2/Sem5/1.html">ÐадаÑа клаÑÑиÑикаÑии</a></li> 251<li class="toctree-l2"><a class="reference internal" href="../../Block2/Sem5/2.html">ÐоÑÑÑоение многоÑлойного пеÑÑепÑÑона</a></li> 252<li class="toctree-l2"><a class="reference internal" href="../../Block2/Sem5/3.html">ÐбÑÑение пеÑÑпеÑÑона</a></li> 253 254<li class="toctree-l2"><a class="reference internal" href="../../Block2/Sem5/hw.html">ÐомаÑнее задание</a></li> 255</ul> 256</li> 257</ul> 258<p aria-level="2" class="caption" role="heading"><span class="caption-text">III.ðÐÑÑиÑлиÑелÑÐ½Ð°Ñ Ð»Ð¸Ð½ÐµÐ¹Ð½Ð°Ñ Ð°Ð»Ð³ÐµÐ±Ñа</span></p> 259<ul class="nav bd-sidenav"> 260<li class="toctree-l1 has-children"><a class="reference internal" href="../../Block3/Sem1/intro.html">3.1 ÐÑеÑаÑионнÑе меÑÐ¾Ð´Ñ Ð´Ð»Ñ ÑеÑÐµÐ½Ð¸Ñ Ð¡ÐÐУ</a><input class="toctree-checkbox" id="toctree-checkbox-10" name="toctree-checkbox-10" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-10"><i class="fa-solid fa-chevron-down"></i></label><ul> 261<li class="toctree-l2"><a class="reference internal" href="../../Block3/Sem1/1.html">ÐÑÑмÑе меÑÐ¾Ð´Ñ ÑеÑÐµÐ½Ð¸Ñ Ð¡ÐÐУ.</a></li> 262<li class="toctree-l2"><a class="reference internal" href="../../Block3/Sem1/2.html">ÐвÑÑ ÑлойнÑе иÑеÑаÑионнÑе ÑÑ ÐµÐ¼Ñ</a></li> 263<li class="toctree-l2"><a class="reference internal" href="../../Block3/Sem1/3.html">ÐногоÑлойнÑе иÑеÑаÑионнÑе ÑÑ ÐµÐ¼Ñ</a></li> 264<li class="toctree-l2"><a class="reference internal" href="../../Block3/Sem1/4.html">СÑавнение иÑеÑаÑионного меÑода Якоби и пÑÑмого меÑода ÐаÑÑÑа</a></li> 265 266<li class="toctree-l2"><a class="reference internal" href="../../Block3/Sem1/hw.html">ÐомаÑнее задание</a></li> 267</ul> 268</li> 269<li class="toctree-l1 has-children"><a class="reference internal" href="../../Block3/Sem2/intro.html">3.2 ÐÑоблема ÑобÑÑвеннÑÑ Ð·Ð½Ð°Ñений</a><input class="toctree-checkbox" id="toctree-checkbox-11" name="toctree-checkbox-11" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-11"><i class="fa-solid fa-chevron-down"></i></label><ul> 270<li class="toctree-l2"><a class="reference internal" href="../../Block3/Sem2/1.html">СÑепенной меÑод и опÑеделениÑ</a></li> 271<li class="toctree-l2"><a class="reference internal" href="../../Block3/Sem2/2.html">QR алгоÑиÑм</a></li> 272<li class="toctree-l2"><a class="reference internal" href="../../Block3/Sem2/3.html">ÐÑÑгие меÑодÑ</a></li> 273<li class="toctree-l2"><a class="reference internal" href="../../Block3/Sem2/hw.html">ÐомаÑнее задание</a></li> 274</ul> 275</li> 276</ul> 277<p aria-level="2" class="caption" role="heading"><span class="caption-text">IV.ð§®ÐÑÑиÑлиÑелÑнÑй маÑемаÑиÑеÑкий анализ</span></p> 278<ul class="nav bd-sidenav"> 279<li class="toctree-l1 has-children"><a class="reference internal" href="../../Block4/Sem1/intro.html">4.1 ÐнÑеÑполÑÑиÑ</a>
279<input class="toctree-checkbox" id="toctree-checkbox-12" name="toctree-checkbox-12" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-12"><i class="fa-solid fa-chevron-down"></i></label><ul> 280<li class="toctree-l2"><a class="reference internal" href="../../Block4/Sem1/1.html">ÐадаÑа инÑеÑполÑÑии. ÐолиномиалÑÐ½Ð°Ñ Ð¸Ð½ÑеÑполÑÑиÑ</a></li> 281<li class="toctree-l2"><a class="reference internal" href="../../Block4/Sem1/2.html">ÐогÑеÑноÑÑи алгебÑаиÑеÑкой инÑеÑполÑÑии</a></li> 282<li class="toctree-l2"><a class="reference internal" href="../../Block4/Sem1/3.html">ÐнÑеÑполÑÑÐ¸Ñ Ñплайном</a></li> 283<li class="toctree-l2"><a class="reference internal" href="../../Block4/Sem1/hw.html">ÐомаÑнее задание</a></li> 284</ul> 285</li> 286<li class="toctree-l1 has-children"><a class="reference internal" href="../../Block4/Sem2/intro.html">4.2 ЧиÑленное инÑегÑиÑование</a><input class="toctree-checkbox" id="toctree-checkbox-13" name="toctree-checkbox-13" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-13"><i class="fa-solid fa-chevron-down"></i></label><ul> 287<li class="toctree-l2"><a class="reference internal" href="../../Block4/Sem2/1.html">ÐвадÑаÑÑÑÑ ÐÑÑÑона</a></li> 288<li class="toctree-l2"><a class="reference internal" href="../../Block4/Sem2/2.html">ÐÑакÑиÑеÑÐºÐ°Ñ Ð¾Ñенка погÑеÑноÑÑи</a></li> 289<li class="toctree-l2"><a class="reference internal" href="../../Block4/Sem2/3.html">ÐвадÑаÑÑÑÑ ÐаÑÑÑа</a></li> 290<li class="toctree-l2"><a class="reference internal" href="../../Block4/Sem2/4.html">ÐнÑегÑÐ°Ð»Ñ Ñ Ð¾ÑобенноÑÑÑми</a></li> 291<li class="toctree-l2"><a class="reference internal" href="../../Block4/Sem2/hw.html">ÐомаÑнее задание</a></li> 292</ul> 293</li> 294<li class="toctree-l1 has-children"><a class="reference internal" href="../../Block4/Sem3/intro.html">4.3 ÐÑÐµÐ´ÐµÐ»Ñ Ð¸ ÑÑдÑ</a><input class="toctree-checkbox" id="toctree-checkbox-14" name="toctree-checkbox-14" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-14"><i class="fa-solid fa-chevron-down"></i></label><ul> 295<li class="toctree-l2"><a class="reference internal" href="../../Block4/Sem3/1.html">ЧиÑленное инÑегÑиÑование на ÑазноÑÑнÑÑ ÑÑ ÐµÐ¼Ð°Ñ </a></li> 296<li class="toctree-l2"><a class="reference internal" href="../../Block4/Sem3/2.html">РаÑÑÑÑ Ð±ÐµÑконеÑнÑÑ ÑÑмм</a></li> 297<li class="toctree-l2"><a class="reference internal" href="../../Block4/Sem3/3.html">ÐÑÑÑÑое вÑÑиÑление пÑеделов</a></li> 298<li class="toctree-l2"><a class="reference internal" href="../../Block4/Sem3/hw.html">ÐомаÑнее задание</a></li> 299</ul> 300</li> 301<li class="toctree-l1 has-children"><a class="reference internal" href="../../Block4/Sem4/intro.html">4.4 ÐиÑкÑеÑное пÑеобÑазование ФÑÑÑе</a><input class="toctree-checkbox" id="toctree-checkbox-15" name="toctree-checkbox-15" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-15"><i class="fa-solid fa-chevron-down"></i></label><ul> 302<li class="toctree-l2"><a class="reference internal" href="../../Block4/Sem4/1.html">ÐиÑкÑеÑное пÑеобÑазование ФÑÑÑе</a></li> 303<li class="toctree-l2"><a class="reference internal" href="../../Block4/Sem4/2.html">ÐÑÑÑÑое пÑеобÑазование ФÑÑÑе (FFT)</a></li> 304<li class="toctree-l2"><a class="reference internal" href="../../Block4/Sem4/3.html">Ðнализ ÑезонноÑÑи во вÑеменнÑÑ ÑÑÐ´Ð°Ñ (ÑеалÑнÑй пÑимеÑ)</a></li> 305<li class="toctree-l2"><a class="reference internal" href="../../Block4/Sem4/hw.html">ÐомаÑнее задание</a></li> 306</ul> 307</li> 308</ul> 309<p aria-level="2" class="caption" role="heading"><span class="caption-text">V.ð¥ÐиÑÑеÑенÑиалÑнÑе ÑÑавнениÑ</span></p> 310<ul class="nav bd-sidenav"> 311<li class="toctree-l1 has-children">
311<a class="reference internal" href="../../Block5/Sem1/intro.html">5.1 ÐÐУ. ÐадаÑа ÐоÑи</a><input class="toctree-checkbox" id="toctree-checkbox-16" name="toctree-checkbox-16" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-16"><i class="fa-solid fa-chevron-down"></i></label><ul> 312<li class="toctree-l2"><a class="reference internal" href="../../Block5/Sem1/1.html">ÐиÑкÑеÑизаÑÐ¸Ñ ÐадаÑи ÐоÑи. ЧаÑÑнÑй ÑлÑÑай, обÑий Ð¿Ð¾Ð´Ñ Ð¾Ð´</a></li> 313<li class="toctree-l2"><a class="reference internal" href="../../Block5/Sem1/2.html">ÐиÑкÑеÑизаÑÐ¸Ñ ÐадаÑи ÐоÑи. ÐбÑÐ°Ñ ÑеоÑÐ¸Ñ Ð´Ð¸ÑкÑеÑизаÑии ÐÐУ.</a></li> 314<li class="toctree-l2"><a class="reference internal" href="../../Block5/Sem1/3.html">ÐÑÑледование ÑÑ ÐµÐ¼ на ÑÑÑойÑивоÑÑÑ</a></li> 315<li class="toctree-l2"><a class="reference internal" href="../../Block5/Sem1/4.html">ÐеÑÑкие ÑиÑÑемÑ</a></li> 316<li class="toctree-l2"><a class="reference internal" href="../../Block5/Sem1/5.html">ÐдноÑаговÑе меÑÐ¾Ð´Ñ Ð Ñнге-ÐÑÑÑа</a></li> 317<li class="toctree-l2"><a class="reference internal" href="../../Block5/Sem1/6.html">ÐногоÑаговÑе меÑодÑ</a></li> 318<li class="toctree-l2"><a class="reference internal" href="../../Block5/Sem1/hw.html">ÐомаÑнее задание</a></li> 319 320 321 322</ul> 323</li> 324<li class="toctree-l1 has-children"><a class="reference internal" href="../../Block5/Sem2/intro.html">5.2 ÐÐУ. ÐÑÐ°ÐµÐ²Ð°Ñ Ð·Ð°Ð´Ð°Ñа</a><input class="toctree-checkbox" id="toctree-checkbox-17" name="toctree-checkbox-17" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-17"><i class="fa-solid fa-chevron-down"></i></label><ul> 325<li class="toctree-l2"><a class="reference internal" href="../../Block5/Sem2/1.html">ÐÐ¸Ð½ÐµÐ¹Ð½Ð°Ñ ÐºÑÐ°ÐµÐ²Ð°Ñ Ð·Ð°Ð´Ð°Ñа</a></li> 326 327 328<li class="toctree-l2"><a class="reference internal" href="../../Block5/Sem2/2.html">ÐÐµÐ»Ð¸Ð½ÐµÐ¹Ð½Ð°Ñ ÐºÑÐ°ÐµÐ²Ð°Ñ Ð·Ð°Ð´Ð°Ñа</a></li> 329 330<li class="toctree-l2"><a class="reference internal" href="../../Block5/Sem2/3.html">ÐппÑокÑимаÑÐ¸Ñ Ð³ÑаниÑнÑÑ ÑÑловий</a></li> 331 332<li class="toctree-l2"><a class="reference internal" href="../../Block5/Sem2/hw.html">ÐомаÑнее задание</a></li> 333</ul> 334</li> 335<li class="toctree-l1 has-children"><a class="reference internal" href="../../Block5/Sem3/intro.html">5.3 УРЧÐ. ÐеÑод конеÑнÑÑ ÑазноÑÑей</a><input class="toctree-checkbox" id="toctree-checkbox-18" name="toctree-checkbox-18" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-18"><i class="fa-solid fa-chevron-down"></i></label><ul> 336<li class="toctree-l2"><a class="reference internal" href="../../Block5/Sem3/1.html">ФоÑмÑлиÑовка УРЧÐ. ÐлаÑÑиÑикаÑиÑ</a></li> 337<li class="toctree-l2"><a class="reference internal" href="../../Block5/Sem3/2.html">ÐаÑаболиÑеÑкий Ñип. ÐбÑие пÑинÑÐ¸Ð¿Ñ Ð¼ÐµÑода конеÑнÑÑ ÑазноÑÑей</a></li> 338 339 340 341 342 343<li class="toctree-l2"><a class="reference internal" href="../../Block5/Sem3/3.html">ÐллипÑиÑеÑкий Ñип</a></li> 344<li class="toctree-l2"><a class="reference internal" href="../../Block5/Sem3/4.html">ÐипеÑболиÑеÑкие ÑÑавнениÑ</a></li> 345<li class="toctree-l2"><a class="reference internal" href="../../Block5/Sem3/5.html">Ð¡Ñ Ð¾Ð´Ð¸Ð¼Ð¾ÑÑÑ ÑазноÑÑнÑÑ ÑÑ ÐµÐ¼</a></li> 346 347 348<li class="toctree-l2"><a class="reference internal" href="../../Block5/Sem3/6.html">Ðадание кÑаевÑÑ ÑÑловий на кÑиволинейной гÑаниÑе</a></li> 349<li class="toctree-l2"><a class="reference internal" href="../../Block5/Sem3/hw.html">ÐомаÑнее задание</a></li> 350</ul> 351</li> 352<li class="toctree-l1 has-children"><a class="reference internal" href="../../Block5/Sem4/intro.html">5.4 УРЧÐ. Finite Element Method</a><input class="toctree-checkbox" id="toctree-checkbox-19" name="toctree-checkbox-19" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-19"><i class="fa-solid fa-chevron-down"></i></label><ul> 353<li class="toctree-l2">
353<a class="reference internal" href="../../Block5/Sem4/1.html">ТеоÑÐ¸Ñ Ð¼ÐµÑода конеÑнÑÑ ÑлеменÑов (FEM)</a></li> 354<li class="toctree-l2"><a class="reference internal" href="../../Block5/Sem4/2.html">ÐиблиоÑека FEniCS</a></li> 355<li class="toctree-l2"><a class="reference internal" href="../../Block5/Sem4/3.html">ÐÑимеÑ. УÑавнение ÐÑаÑÑона</a></li> 356<li class="toctree-l2"><a class="reference internal" href="../../Block5/Sem4/4.html">ÐÑимеÑ. Ðелинейное ÑÑавнение ÐÑаÑÑона</a></li> 357<li class="toctree-l2"><a class="reference internal" href="../../Block5/Sem4/5.html">ÐÑимеÑ. УÑавнение ÑеплопÑоводноÑÑи</a></li> 358<li class="toctree-l2"><a class="reference internal" href="../../Block5/Sem4/6.html">ÐÑимеÑ. УÑавнение ÐавÑе-СÑокÑа</a></li> 359<li class="toctree-l2"><a class="reference internal" href="../../Block5/Sem4/hw.html">ÐомаÑнее задание</a></li> 360</ul> 361</li> 362<li class="toctree-l1 has-children"><a class="reference internal" href="../../Block5/Sem5/intro.html">5.5* ÐейÑоÑеÑевÑе меÑÐ¾Ð´Ñ Ð´Ð»Ñ ÑеÑÐµÐ½Ð¸Ñ ÐУ</a><input class="toctree-checkbox" id="toctree-checkbox-20" name="toctree-checkbox-20" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-20"><i class="fa-solid fa-chevron-down"></i></label><ul> 363<li class="toctree-l2"><a class="reference internal" href="../../Block5/Sem5/1.html">ТеоÑеÑиÑеÑкое введение</a></li> 364<li class="toctree-l2"><a class="reference internal" href="../../Block5/Sem5/2.html">ÐÐУ пеÑвого поÑÑдка</a></li> 365<li class="toctree-l2"><a class="reference internal" href="../../Block5/Sem5/3.html">ÐÐУ вÑоÑого поÑÑдка</a></li> 366<li class="toctree-l2"><a class="reference internal" href="../../Block5/Sem5/4.html">УРЧÐ</a></li> 367<li class="toctree-l2"><a class="reference internal" href="../../Block5/Sem5/5.html">СовÑеменнÑе Ð¿Ð¾Ð´Ñ Ð¾Ð´Ñ Ð¸ пÑименениÑ</a></li> 368</ul> 369</li> 370</ul> 371<p aria-level="2" class="caption" role="heading"><span class="caption-text">VI.ð²Ð¡Ð»ÑÑайнÑе пÑоÑеÑÑÑ</span></p> 372<ul class="nav bd-sidenav"> 373<li class="toctree-l1 has-children"><a class="reference internal" href="../../Block6/Sem1/intro.html">6.1 ÐÑÐ½Ð¾Ð²Ñ Ð¼ÐµÑода ÐонÑе-ÐаÑло</a><input class="toctree-checkbox" id="toctree-checkbox-21" name="toctree-checkbox-21" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-21"><i class="fa-solid fa-chevron-down"></i></label><ul> 374<li class="toctree-l2"><a class="reference internal" href="../../Block6/Sem1/1.html">«ШколÑнÑй» пÑимеÑ. ÐÑÑиÑление ÑиÑла <span class="math notranslate nohighlight">\(\pi\)</span></a></li> 375<li class="toctree-l2"><a class="reference internal" href="../../Block6/Sem1/2.html">ÐнÑегÑиÑование меÑодом ÐонÑе-ÐаÑло</a></li> 376 377 378<li class="toctree-l2"><a class="reference internal" href="../../Block6/Sem1/3.html">ÐонÑе-ÐаÑло Ð´Ð»Ñ Ð³ÐµÐ½ÐµÑаÑии ÑоÑек из ÑаÑпÑеделений (ÑÑмплиÑование)</a></li> 379 380 381<li class="toctree-l2"><a class="reference internal" href="../../Block6/Sem1/4.html">ÐÐ°Ñ Ð¾Ð¶Ð´ÐµÐ½Ð¸Ðµ ÑизиÑеÑÐºÐ¸Ñ Ð²ÐµÐ»Ð¸Ñин Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ ÐонÑе-ÐаÑло. ÐÐ¾Ð´ÐµÐ»Ñ Ðзинга</a></li> 382<li class="toctree-l2"><a class="reference internal" href="../../Block6/Sem1/hw.html">ÐомаÑнее задание</a></li> 383</ul> 384</li> 385<li class="toctree-l1 has-children"><a class="reference internal" href="../../Block6/Sem2/intro.html">6.2* Renforcement Learning</a><input class="toctree-checkbox" id="toctree-checkbox-22" name="toctree-checkbox-22" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-22"><i class="fa-solid fa-chevron-down"></i></label><ul> 386<li class="toctree-l2"><a class="reference internal" href="../../Block6/Sem2/1.html">ÐоÑиваÑиÑ</a></li> 387<li class="toctree-l2"><a class="reference internal" href="../../Block6/Sem2/2.html">ÐÑновнÑе опÑеделениÑ. Value iteration</a></li> 388 389<li class="toctree-l2"><a class="reference internal" href="../../Block6/Sem2/3.html">Q-Learning</a></li> 390<li class="toctree-l2"><a class="reference internal" href="../../Block6/Sem2/4.html">Approximate Q-Learning</a></li> 391<li class="toctree-l2"><a class="reference internal" href="../../Block6/Sem2/hw.html">ÐомаÑнее задание</a></li> 392</ul> 393</li> 394</ul> 395 396 </div> 397</nav></div> 398 </div> 399 400 401 <div class="sidebar-primary-items__end sidebar-primary__section"> 402 </div> 403 404 <div id="rtd-footer-container"></div> 405 406 407 </div> 408
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518 519 520</div></div> 521 522 </div> 523 524</div> 525</div> 526 527 528 529<div id="jb-print-docs-body" class="onlyprint"> 530 <h1>1.3 ÐÐ¸Ð½ÐµÐ¹Ð½Ð°Ñ ÑегÑеÑÑиÑ. PCA</h1> 531 <!-- Table of contents --> 532 <div id="print-main-content"> 533 <div id="jb-print-toc"> 534 535 </div> 536 </div> 537</div> 538 539 540 541<div id="searchbox"></div> 542 <article class="bd-article"> 543 544 <section class="tex2jax_ignore mathjax_ignore" id="pca"> 545<h1>1.3 ÐÐ¸Ð½ÐµÐ¹Ð½Ð°Ñ ÑегÑеÑÑиÑ. PCA<a class="headerlink" href="#pca" title="Link to this heading">#</a></h1> 546<p>СодеÑжание ÑеминаÑа:</p> 547<ul class="simple"> 548<li><p><strong>ÐадаÑа ÑегÑеÑÑии (аппÑокÑимаÑии)</strong></p> 549<ul> 550<li><p>ФоÑмÑлиÑовка</p></li> 551<li><p>СемейÑÑва ÑÑнкÑий (модели)</p> 552<ul> 553<li><p>ÐÑимеÑÑ</p></li> 554</ul> 555</li> 556</ul> 557</li> 558<li><p><strong>ФÑнкÑÐ¸Ñ Ð¿Ð¾ÑеÑÑ (Loss)</strong></p> 559<ul> 560<li><p>MSE, RMSE, log-loss</p></li> 561</ul> 562</li> 563<li><p><strong>ÐаÑÑиÑа обÑекÑÑ-пÑизнаки</strong></p></li> 564<li><p><strong>ÐÐ¸Ð½ÐµÐ¹Ð½Ð°Ñ ÑегÑеÑÑиÑ</strong></p> 565<ul> 566<li><p>ÐаÑÑиÑа обÑекÑÑ-пÑизнаки</p></li> 567<li><p><strong>ТоÑное ÑеÑение Ð´Ð»Ñ MSE</strong></p></li> 568<li><p>ÐÑÐ¸Ð¼ÐµÑ Ñ Ð½ÐµÐ·Ð°Ð²Ð¸ÑимÑми пÑизнаками</p></li> 569<li><p>ÐÑÐ¸Ð¼ÐµÑ Ñ Ð¼Ð½Ð¾Ð³Ð¾Ñленами</p></li> 570</ul> 571</li> 572<li><p><strong>ÐеÑеобÑÑение - обÑÐ°Ñ Ð¿Ñоблема ÑегÑеÑÑии</strong></p></li> 573<li><p><strong>ÐеÑод главнÑÑ ÐºÐ¾Ð¼Ð¿Ð¾Ð½ÐµÐ½Ñ (PCA)</strong></p> 574<ul> 575<li><p>ÐоваÑиаÑÐ¸Ð¾Ð½Ð½Ð°Ñ Ð¼Ð°ÑÑиÑа</p></li> 576<li><p>PCA как меÑод боÑÑÐ±Ñ Ñ Ð¿ÐµÑеобÑÑением</p></li> 577<li><p>ÐÑÐ¸Ð¼ÐµÑ Ñ Ð¾Ð±Ñезкой лиÑÐ½Ð¸Ñ Ð¿Ñизнаков</p></li> 578<li><p>ÐÑÐ¸Ð¼ÐµÑ Ñ ÑжаÑием изобÑажениÑ</p></li> 579</ul> 580</li> 581<li><p><strong>ÐомаÑнее задание</strong></p></li> 582</ul> 583<div class="toctree-wrapper compound"> 584</div> 585</section> 586 587
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