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AI.html
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<!DOCTYPE html><html lang="en-US"><head><meta charset="UTF-8"><meta name="viewport" content="width=device-width,height=device-height,initial-scale=1.0"><meta name="apple-mobile-web-app-capable" content="yes"><meta http-equiv="X-UA-Compatible" content="ie=edge"><meta property="og:type" content="website"><meta name="twitter:card" content="summary"><style>@media screen{body[data-bespoke-view=""] .bespoke-marp-parent>.bespoke-marp-osc>button,body[data-bespoke-view=next] .bespoke-marp-parent>.bespoke-marp-osc>button,body[data-bespoke-view=presenter] .bespoke-marp-presenter-container .bespoke-marp-presenter-info-container button,body[data-bespoke-view=presenter] .bespoke-marp-presenter-container .bespoke-marp-presenter-note-container button{-webkit-tap-highlight-color:transparent;-webkit-appearance:none;appearance:none;background-color:transparent;border:0;color:inherit;cursor:pointer;font-size:inherit;opacity:.8;outline:none;padding:0;transition:opacity .2s linear}body[data-bespoke-view=""] .bespoke-marp-parent>.bespoke-marp-osc>button:disabled,body[data-bespoke-view=next] .bespoke-marp-parent>.bespoke-marp-osc>button:disabled,body[data-bespoke-view=presenter] .bespoke-marp-presenter-container .bespoke-marp-presenter-info-container button:disabled,body[data-bespoke-view=presenter] .bespoke-marp-presenter-container .bespoke-marp-presenter-note-container button:disabled{cursor:not-allowed;opacity:.15!important}body[data-bespoke-view=""] .bespoke-marp-parent>.bespoke-marp-osc>button:hover,body[data-bespoke-view=next] .bespoke-marp-parent>.bespoke-marp-osc>button:hover,body[data-bespoke-view=presenter] .bespoke-marp-presenter-container .bespoke-marp-presenter-info-container button:hover,body[data-bespoke-view=presenter] .bespoke-marp-presenter-container .bespoke-marp-presenter-note-container button:hover{opacity:1}body[data-bespoke-view=""] .bespoke-marp-parent>.bespoke-marp-osc>button:hover:active,body[data-bespoke-view=next] .bespoke-marp-parent>.bespoke-marp-osc>button:hover:active,body[data-bespoke-view=presenter] .bespoke-marp-presenter-container .bespoke-marp-presenter-info-container button:hover:active,body[data-bespoke-view=presenter] .bespoke-marp-presenter-container .bespoke-marp-presenter-note-container button:hover:active{opacity:.6}body[data-bespoke-view=""] .bespoke-marp-parent>.bespoke-marp-osc>button:hover:not(:disabled),body[data-bespoke-view=next] .bespoke-marp-parent>.bespoke-marp-osc>button:hover:not(:disabled),body[data-bespoke-view=presenter] .bespoke-marp-presenter-container .bespoke-marp-presenter-info-container button:hover:not(:disabled),body[data-bespoke-view=presenter] .bespoke-marp-presenter-container .bespoke-marp-presenter-note-container button:hover:not(:disabled){transition:none}body[data-bespoke-view=""] .bespoke-marp-parent>.bespoke-marp-osc>button[data-bespoke-marp-osc=prev],body[data-bespoke-view=next] 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/*!
* Marp default theme.
*
* @theme default
* @author Yuki Hattori
*
* @auto-scaling true
* @size 16:9 1280px 720px
* @size 4:3 960px 720px
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slide">Next slide</button><button data-bespoke-marp-osc="fullscreen" tabindex="-1" title="Toggle fullscreen (f)">Toggle fullscreen</button><button data-bespoke-marp-osc="presenter" tabindex="-1" title="Open presenter view (p)">Open presenter view</button></div><div id="p"><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="1" data-paginate="true" data-class="invert" data-header="In the name of who surround me with blessing that I can not count" class="invert" data-marpit-pagination="1" data-marpit-pagination-total="23" style="--paginate:true;--class:invert;--header:In the name of who surround me with blessing that I can not count;">
<header>In the name of who surround me with blessing that I can not count</header>
<h2><strong>AI</strong>: From the pages of <em>science</em>, to the future of our <strong>lives</strong>.</h2>
<h1>by <code>Ahmadreza</code> Anaami</h1>
</section>
</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section data-marpit-fragments="8" data-paginate="true" data-background-color="black" data-class="invert" class="invert" data-marpit-pagination="2" data-marpit-pagination-total="23" style="--paginate:true;--background-color:black;--class:invert;background-color:black;background-image:none;--marpit-advanced-background-split:44%;" data-marpit-advanced-background="background" data-marpit-advanced-background-split="right"><div data-marpit-advanced-background-container="true" data-marpit-advanced-background-direction="horizontal"><figure style="background-image:url("1.png");"></figure></div></section></foreignObject><foreignObject width="56%" height="720"><section id="2" data-marpit-fragments="8" data-paginate="true" data-background-color="black" data-class="invert" class="invert" data-marpit-pagination="2" data-marpit-pagination-total="23" style="--paginate:true;--background-color:black;--class:invert;background-color:black;background-image:none;--marpit-advanced-background-split:44%;" data-marpit-advanced-background="content" data-marpit-advanced-background-split="right">
<h1>Goals</h1>
<h3>In this <strong>lab</strong> you will:</h3>
<ul>
<li data-marpit-fragment="1">have a brief introduction on <em>AI</em> and <em>ML</em>
<ul>
<li data-marpit-fragment="2">basic concept of machine learning</li>
</ul>
</li>
<li data-marpit-fragment="3">main algorithm
<ul>
<li data-marpit-fragment="4">supervised
<ul>
<li data-marpit-fragment="5"><code>regression</code></li>
<li data-marpit-fragment="6">classification</li>
</ul>
</li>
<li data-marpit-fragment="7">unsupervised</li>
</ul>
</li>
<li data-marpit-fragment="8">Learn to implement linear <code>regression</code></li>
</ul>
</section>
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</foreignObject><foreignObject width="1280" height="720" data-marpit-advanced-background="pseudo"><section data-class="invert" class="invert" style="" data-marpit-advanced-background="pseudo"></section></foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="4" data-paginate="true" data-class="invert" data-background-color="navy" class="invert" data-marpit-pagination="4" data-marpit-pagination-total="23" style="--paginate:true;--class:invert;--background-color:navy;background-color:navy;background-image:none;">
<h2>machine learning</h2>
<p>Subfield of AI in order to make intelligent machine</p>
<blockquote>
<p>Field of study that gives the computers the ability to learn without <code>explicitly</code> programmed</p>
</blockquote>
<ul>
<li>Arthur samuel <code>1959</code></li>
</ul>
</section>
</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section data-paginate="true" data-marpit-pagination="5" data-marpit-pagination-total="23" style="--paginate:true;--marpit-advanced-background-split:44%;" data-marpit-advanced-background="background" data-marpit-advanced-background-split="left"><div data-marpit-advanced-background-container="true" data-marpit-advanced-background-direction="horizontal"><figure style="background-image:url("2.png");"></figure></div></section></foreignObject><foreignObject width="56%" height="720" x="44%"><section id="5" data-paginate="true" data-marpit-pagination="5" data-marpit-pagination-total="23" style="--paginate:true;--marpit-advanced-background-split:44%;" data-marpit-advanced-background="content" data-marpit-advanced-background-split="left">
<h1>Supervised learning</h1>
<ul>
<li>learn from being given <strong>right answers</strong>
<ul>
<li>correct pairs of input (x) and output (y)</li>
</ul>
</li>
</ul>
</section>
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<table>
<thead>
<tr>
<th><em>input</em></th>
<th><em>output</em></th>
<th><em>application</em></th>
</tr>
</thead>
<tbody>
<tr>
<td>email</td>
<td>spam?(0,1)</td>
<td></td>
</tr>
<tr>
<td>audio</td>
<td>text transcript</td>
<td></td>
</tr>
<tr>
<td>English</td>
<td>Spanish</td>
<td></td>
</tr>
<tr>
<td>ad-User</td>
<td>click?(0,1)</td>
<td></td>
</tr>
<tr>
<td>image-radar</td>
<td>position of other car</td>
<td></td>
</tr>
<tr>
<td>image of phone</td>
<td>defect?(0,1)</td>
<td></td>
</tr>
</tbody>
</table>
</section>
</foreignObject><foreignObject width="1280" height="720" data-marpit-advanced-background="pseudo"><section data-class="invert" class="invert" style="" data-marpit-advanced-background="pseudo" data-marpit-advanced-background-split="right"></section></foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section data-paginate="true" data-color="green" data-marpit-pagination="7" data-marpit-pagination-total="23" style="--paginate:true;--color:green;color:green;--marpit-advanced-background-split:55%;" data-marpit-advanced-background="background" data-marpit-advanced-background-split="right"><div data-marpit-advanced-background-container="true" data-marpit-advanced-background-direction="horizontal"><figure style="background-image:url("4.png");background-size:100%;"></figure></div></section></foreignObject><foreignObject width="45%" height="720"><section id="7" data-paginate="true" data-color="green" data-marpit-pagination="7" data-marpit-pagination-total="23" style="--paginate:true;--color:green;color:green;--marpit-advanced-background-split:55%;" data-marpit-advanced-background="content" data-marpit-advanced-background-split="right">
<h2>Regression</h2>
<p>predict a <code>number</code> from<br />
infinitely many possible <code>outputs</code></p>
</section>
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<h1>Classification</h1>
<p>many <code>inputs</code><br />
some outputs called <code>categories</code></p>
<table>
<thead>
<tr>
<th><em>Size</em></th>
<th><em>diagnosis</em></th>
</tr>
</thead>
<tbody>
<tr>
<td>6</td>
<td>1</td>
</tr>
<tr>
<td>8</td>
<td>1</td>
</tr>
<tr>
<td>2</td>
<td>0</td>
</tr>
<tr>
<td>5</td>
<td>0</td>
</tr>
<tr>
<td>1</td>
<td>0</td>
</tr>
<tr>
<td>7</td>
<td>1</td>
</tr>
<tr>
<td>5.6</td>
<td>1</td>
</tr>
<tr>
<td>12</td>
<td>1</td>
</tr>
<tr>
<td>3.5</td>
<td>0</td>
</tr>
</tbody>
</table>
</section>
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</foreignObject><foreignObject width="1280" height="720" data-marpit-advanced-background="pseudo"><section data-paginate="true" data-marpit-pagination="9" data-marpit-pagination-total="23" style="" data-marpit-advanced-background="pseudo" data-marpit-advanced-background-split="left"></section></foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section data-class="invert" data-background-color="black" data-color="white" class="invert" style="--class:invert;--background-color:black;--color:white;color:white;background-color:black;background-image:none;" data-marpit-advanced-background="background"><div data-marpit-advanced-background-container="true" data-marpit-advanced-background-direction="horizontal"><figure style="background-image:url("7.png");"></figure></div></section></foreignObject><foreignObject width="1280" height="720"><section id="10" data-class="invert" data-background-color="black" data-color="white" class="invert" style="--class:invert;--background-color:black;--color:white;color:white;background-color:black;background-image:none;" data-marpit-advanced-background="content">
<h1 is="marp-h1" data-auto-scaling>Recap</h1>
<h3><code>In every living man a child is hidden that wants to play</code></h3>
</section>
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<h1>Unsupervised learning</h1>
<h3>Find something intreating in <strong>(unlabeled)</strong> Data</h3>
<ul>
<li>Clustering</li>
<li>anomaly detection</li>
<li>Dimensionality reduction</li>
</ul>
</section>
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<h1>linear <strong>regression</strong></h1>
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x > single feature</p>
</section>
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<h1>Cost function</h1>
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429Z"></path></g></g></g></g></svg></mjx-container></p><p>where</p>
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374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="TeXAtom" transform="translate(605,413) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mo"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(389,0)"><path data-c="1D456" d="M184 600Q184 624 203 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128T340 136T341 143T342 152T345 165T348 182T354 206T362 238T373 281Q402 395 406 404Q419 431 449 431Q468 431 475 421T483 402Q483 389 454 274T422 142Q420 131 420 107V100Q420 85 423 71T442 42T487 26Q558 26 600 148Q609 171 620 213T632 273Q632 306 619 325T593 357T580 385Z"></path></g><g data-mml-node="msup" transform="translate(9457.4,0)"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="TeXAtom" transform="translate(605,413) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mo"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(389,0)"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(734,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g><g data-mml-node="mo" transform="translate(11128.7,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g><g data-mml-node="mi" transform="translate(12128.9,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g></g></g></svg></mjx-container></p><p>m = number of example</p>
</section>
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<h1>Example</h1>
<h6><strong>choose w to minimize J(w)</strong></h6>
<p><mjx-container class="MathJax" jax="SVG" display="true" style="margin: 0;"><svg style="vertical-align: -0.566ex; display: block; width: 100%; height: auto; max-height: 2.7ex;" xmlns="http://www.w3.org/2000/svg" width="23.544ex" height="2.7ex" role="img" focusable="false" viewBox="0 -943.3 10406.6 1193.3"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mi" transform="translate(490,0)"><path data-c="1D43B" d="M228 637Q194 637 192 641Q191 643 191 649Q191 673 202 682Q204 683 219 683Q260 681 355 681Q389 681 418 681T463 682T483 682Q499 682 499 672Q499 670 497 658Q492 641 487 638H485Q483 638 480 638T473 638T464 637T455 637Q416 636 405 634T387 623Q384 619 355 500Q348 474 340 442T328 395L324 380Q324 378 469 378H614L615 381Q615 384 646 504Q674 619 674 627T617 637Q594 637 587 639T580 648Q580 650 582 660Q586 677 588 679T604 682Q609 682 646 681T740 680Q802 680 835 681T871 682Q888 682 888 672Q888 645 876 638H874Q872 638 869 638T862 638T853 637T844 637Q805 636 794 634T776 623Q773 618 704 340T634 58Q634 51 638 51Q646 48 692 46H723Q729 38 729 37T726 19Q722 6 716 0H701Q664 2 567 2Q533 2 504 2T458 2T437 1Q420 1 420 10Q420 15 423 24Q428 43 433 45Q437 46 448 46H454Q481 46 514 49Q520 50 522 50T528 55T534 64T540 82T547 110T558 153Q565 181 569 198Q602 330 602 331T457 332H312L279 197Q245 63 245 58Q245 51 253 49T303 46H334Q340 38 340 37T337 19Q333 6 327 0H312Q275 2 178 2Q144 2 115 2T69 2T48 1Q31 1 31 10Q31 12 34 24Q39 43 44 45Q48 46 59 46H65Q92 46 125 49Q139 52 144 61Q147 65 216 339T285 628Q285 635 228 637Z"></path></g><g data-mml-node="mi" transform="translate(1378,0)"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mi" transform="translate(1907,0)"><path data-c="1D461" d="M26 385Q19 392 19 395Q19 399 22 411T27 425Q29 430 36 430T87 431H140L159 511Q162 522 166 540T173 566T179 586T187 603T197 615T211 624T229 626Q247 625 254 615T261 596Q261 589 252 549T232 470L222 433Q222 431 272 431H323Q330 424 330 420Q330 398 317 385H210L174 240Q135 80 135 68Q135 26 162 26Q197 26 230 60T283 144Q285 150 288 151T303 153H307Q322 153 322 145Q322 142 319 133Q314 117 301 95T267 48T216 6T155 -11Q125 -11 98 4T59 56Q57 64 57 83V101L92 241Q127 382 128 383Q128 385 77 385H26Z"></path></g><g data-mml-node="mo" transform="translate(2545.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="msub" transform="translate(3601.6,0)"><g data-mml-node="mi"><path data-c="1D453" d="M118 -162Q120 -162 124 -164T135 -167T147 -168Q160 -168 171 -155T187 -126Q197 -99 221 27T267 267T289 382V385H242Q195 385 192 387Q188 390 188 397L195 425Q197 430 203 430T250 431Q298 431 298 432Q298 434 307 482T319 540Q356 705 465 705Q502 703 526 683T550 630Q550 594 529 578T487 561Q443 561 443 603Q443 622 454 636T478 657L487 662Q471 668 457 668Q445 668 434 658T419 630Q412 601 403 552T387 469T380 433Q380 431 435 431Q480 431 487 430T498 424Q499 420 496 407T491 391Q489 386 482 386T428 385H372L349 263Q301 15 282 -47Q255 -132 212 -173Q175 -205 139 -205Q107 -205 81 -186T55 -132Q55 -95 76 -78T118 -61Q162 -61 162 -103Q162 -122 151 -136T127 -157L118 -162Z"></path></g><g data-mml-node="TeXAtom" transform="translate(523,-150) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D464" d="M580 385Q580 406 599 424T641 443Q659 443 674 425T690 368Q690 339 671 253Q656 197 644 161T609 80T554 12T482 -11Q438 -11 404 5T355 48Q354 47 352 44Q311 -11 252 -11Q226 -11 202 -5T155 14T118 53T104 116Q104 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Q21 293 29 315T52 366T96 418T161 441Q204 441 227 416T250 358Q250 340 217 250T184 111Q184 65 205 46T258 26Q301 26 334 87L339 96V119Q339 122 339 128T340 136T341 143T342 152T345 165T348 182T354 206T362 238T373 281Q402 395 406 404Q419 431 449 431Q468 431 475 421T483 402Q483 389 454 274T422 142Q420 131 420 107V100Q420 85 423 71T442 42T487 26Q558 26 600 148Q609 171 620 213T632 273Q632 306 619 325T593 357T580 385Z"></path></g></g></g><g data-mml-node="mo" transform="translate(4680.8,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="msup" transform="translate(5069.8,0)"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 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-14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(389,0)"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(734,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g><g data-mml-node="mo" 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<h1>Gradient descent</h1>
<h4><strong>a more systematic way to minimize j(w,b)</strong></h4>
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<h1><strong>Derivative</strong> of the Cost func</h1>
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</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section data-paginate="true" data-marpit-pagination="22" data-marpit-pagination-total="23" style="--paginate:true;--marpit-advanced-background-split:50%;" data-marpit-advanced-background="background" data-marpit-advanced-background-split="right"><div data-marpit-advanced-background-container="true" data-marpit-advanced-background-direction="horizontal"><figure style="background-image:url("9.png");background-size:100%;"></figure></div></section></foreignObject><foreignObject width="50%" height="720"><section id="22" data-paginate="true" data-marpit-pagination="22" data-marpit-pagination-total="23" style="--paginate:true;--marpit-advanced-background-split:50%;" data-marpit-advanced-background="content" data-marpit-advanced-background-split="right">
<h1>optional</h1>
<h5>if <strong>alpha</strong> is too small :</h5>
<h5>if <strong>alpha</strong> is too big :</h5>
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</section>
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<h2>Lets get our hands dirty</h2>
<ul>
<li data-marpit-fragment="1">step 1
<ul>
<li data-marpit-fragment="2">read our data</li>
</ul>
</li>
<li data-marpit-fragment="3">step 2
<ul>
<li data-marpit-fragment="4">write our functions
<ul>
<li data-marpit-fragment="5">calculate yHat</li>
<li data-marpit-fragment="6">calculate cost</li>
<li data-marpit-fragment="7">calculate gradient</li>
<li data-marpit-fragment="8">implement gradient descent</li>
</ul>
</li>
</ul>
</li>
<li data-marpit-fragment="9">step 3
<ul>
<li data-marpit-fragment="10">congratulations</li>
</ul>
</li>
</ul>
</section>
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