Global Clustering Quality Coefficient Assessing the Efficiency of PCA Class Assignment

<div class="floats-full-page floats-full-page-other"><h2>Table 2</h2><div class="floats-full-page-caption">Distance <svg height="13.4533pt" id="M87" style="vertical-align:-4.430201pt" version="1.1" viewbox="0 -9.0231 20.8158 13.4533" width="20.8158pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.0135,0,0,-0.0135,0,0)"><path d="M686 28C612 35 607 44 591 112C563 234 541 360 519 489L489 666L457 658L147 121C100 40 89 36 24 28L17 0H240L250 28C168 34 159 41 190 101L262 237H482C495 180 503 137 510 91C517 47 514 35 441 28L433 0H677L686 28ZM475 280H285L429 541H431L475 280Z" id="g113-66"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="703" vert-adv-y="703"></glyph.data></g><g transform="matrix(.0095,0,0,-0.0095,10.676,3.264)"><path d="M250 606C250 634 233 656 203 656C168 656 146 618 146 593C146 564 169 545 192 545C227 545 250 573 250 606ZM227 95L212 119C187 98 152 71 135 71C129 71 128 78 134 102L207 373C219 418 217 451 194 451C165 451 92 411 30 351L44 326C77 353 106 371 114 371C124 371 121 357 117 341L55 97C32 5 46 -12 70 -12C108 -12 191 51 227 95Z" id="g50-106"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="280" vert-adv-y="280"></glyph.data></g><g transform="matrix(.0095,0,0,-0.0095,13.332,3.264)"><path d="M98 134C72 134 46 117 46 90C46 73 55 65 60 64C95 55 124 32 124 -4C124 -42 95 -68 44 -89L57 -123C122 -104 194 -60 194 22C194 94 136 134 98 134Z" id="g50-45"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="237" vert-adv-y="237"></glyph.data></g><g transform="matrix(.0095,0,0,-0.0095,15.579,3.264)"><path d="M250 606C250 634 233 656 203 656C168 656 146 618 146 593C146 564 169 545 192 545C227 545 250 573 250 606ZM227 95L212 119C187 98 152 71 135 71C129 71 128 78 134 102L207 373C219 418 217 451 194 451C165 451 92 411 30 351L44 326C77 353 106 371 114 371C124 371 121 357 117 341L55 97C32 5 46 -12 70 -12C108 -12 191 51 227 95Z" id="g50-106"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="280" vert-adv-y="280"></glyph.data></g><g transform="matrix(.0068,0,0,-0.0068,18.235,-.068)"><path d="M323 549L316 585C302 600 218 636 190 624L84 81L142 54L323 549Z" id="g176-31"></path><glyph.data ascent="3439" descent="-2858" horiz-adv-x="381" vert-adv-y="381"></glyph.data></g></svg> between the two closest points on the periphery of two of the M, T, and N clusters.</div><div class="floats-full-page-content"><table class="table-group" id="tab2"><tr><td><table class="table"><tr><td class="thead-hr" colspan="4"><hr /></td></tr><tr class="thead"><td align="left">Cluster</td><td align="center">M</td><td align="center">T</td><td align="center">N</td></tr><tr><td class="thead-hr" colspan="4"><hr /></td></tr><tr><td align="center" colspan="4">Associated with the unprocessed spectra</td></tr><tr><td align="left">M</td><td align="center">—</td><td align="center">2,9038</td><td align="center">0,1687</td></tr><tr><td align="left">T</td><td align="center">2,9038</td><td align="center">—</td><td align="center">0,7674</td></tr><tr><td align="left">N</td><td align="center">0,1687</td><td align="center">0,7674</td><td align="center">—</td></tr><tr><td align="center" colspan="4"><hr /></td></tr><tr><td align="center" colspan="4">Associated with the spectra processed with the <svg height="6.23217pt" id="M88" style="vertical-align:-0.16258pt" version="1.1" viewbox="0 -6.06959 9.64631 6.23217" width="9.64631pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.0135,0,0,-0.0135,0,0)"><path d="M689 332C689 394 670 448 646 448C620 448 597 421 597 396C597 386 600 381 608 372C619 359 620 334 620 315C620 150 538 45 454 45C414 45 386 67 386 122C386 138 388 158 394 180L457 426L452 432L377 416L315 156C302 100 259 45 216 45C176 45 148 67 148 122C148 133 152 158 156 180C162 212 173 259 194 332C201 357 206 384 206 405C206 430 198 448 174 448C125 448 66 406 23 342L43 319C84 368 110 383 121 383C126 383 128 382 128 377C128 370 127 359 122 343C99 268 84 204 77 156C74 137 70 111 70 104C70 25 125 -12 180 -12C228 -12 276 12 319 50C338 8 378 -12 418 -12C549 -12 689 166 689 332Z" id="g113-120"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="712" vert-adv-y="712"></glyph.data></g></svg> selective amplifier</td></tr><tr><td align="left">M</td><td align="center">—</td><td align="center">5,3510</td><td align="center">1,7744</td></tr><tr><td align="left">T</td><td align="center">5,3510</td><td align="center">—</td><td align="center">3,8290</td></tr><tr><td align="left">N</td><td align="center">1,7744</td><td align="center">3,8290</td><td align="center">—</td></tr><tr><td align="center" colspan="4"><hr /></td></tr><tr><td align="center" colspan="4">Associated with the spectra processed with the <svg height="12.1683pt" id="M89" style="vertical-align:-0.1625996pt" version="1.1" viewbox="0 -12.0057 14.2661 12.1683" width="14.2661pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.0135,0,0,-0.0135,0,0)"><path d="M689 332C689 394 670 448 646 448C620 448 597 421 597 396C597 386 600 381 608 372C619 359 620 334 620 315C620 150 538 45 454 45C414 45 386 67 386 122C386 138 388 158 394 180L457 426L452 432L377 416L315 156C302 100 259 45 216 45C176 45 148 67 148 122C148 133 152 158 156 180C162 212 173 259 194 332C201 357 206 384 206 405C206 430 198 448 174 448C125 448 66 406 23 342L43 319C84 368 110 383 121 383C126 383 128 382 128 377C128 370 127 359 122 343C99 268 84 204 77 156C74 137 70 111 70 104C70 25 125 -12 180 -12C228 -12 276 12 319 50C338 8 378 -12 418 -12C549 -12 689 166 689 332Z" id="g113-120"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="712" vert-adv-y="712"></glyph.data></g><g transform="matrix(.0095,0,0,-0.0095,9.648,-5.984)"><path d="M414 144C384 79 371 75 317 75H135L276 221C367 316 408 376 408 465C408 570 327 635 237 635C179 635 131 609 100 575L42 494L67 471C94 510 138 565 205 565C277 565 321 517 321 435C321 348 258 270 195 195C146 137 88 81 33 26V0H411C423 44 433 88 446 135L414 144Z" id="g50-51"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="487" vert-adv-y="487"></glyph.data></g></svg> selective amplifier</td></tr><tr><td align="left">M</td><td align="center">—</td><td align="center">13,3527</td><td align="center">4,6160</td></tr><tr><td align="left">T</td><td align="center">13,3527</td><td align="center">—</td><td align="center">12,5518</td></tr><tr><td align="left">N</td><td align="center">4,6160</td><td align="center">12,5518</td><td align="center">—</td></tr><tr><td align="center" colspan="4"><hr /></td></tr><tr><td align="center" colspan="4">Associated with the spectra processed with the <svg height="14.5741pt" id="M90" style="vertical-align:-2.4936pt" version="1.1" viewbox="0 -12.0805 44.2776 14.5741" width="44.2776pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.0135,0,0,-0.0135,0,.19)"><path d="M300 -147C201 -63 143 98 143 270S200 602 300 686L282 710C136 610 70 450 70 271V270C70 89 136 -72 282 -170L300 -147Z" id="g113-41"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="346" vert-adv-y="346"></glyph.data></g><g transform="matrix(.0135,0,0,-0.0135,4.705,0)"><path d="M689 332C689 394 670 448 646 448C620 448 597 421 597 396C597 386 600 381 608 372C619 359 620 334 620 315C620 150 538 45 454 45C414 45 386 67 386 122C386 138 388 158 394 180L457 426L452 432L377 416L315 156C302 100 259 45 216 45C176 45 148 67 148 122C148 133 152 158 156 180C162 212 173 259 194 332C201 357 206 384 206 405C206 430 198 448 174 448C125 448 66 406 23 342L43 319C84 368 110 383 121 383C126 383 128 382 128 377C128 370 127 359 122 343C99 268 84 204 77 156C74 137 70 111 70 104C70 25 125 -12 180 -12C228 -12 276 12 319 50C338 8 378 -12 418 -12C549 -12 689 166 689 332Z" id="g113-120"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="712" vert-adv-y="712"></glyph.data></g><g transform="matrix(.0135,0,0,-0.0135,17.381,0)"><path d="M535 230V280H52V230H535Z" id="g117-33"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="587" vert-adv-y="587"></glyph.data></g><g transform="matrix(.0135,0,0,-0.0135,28.362,0)"><path d="M384 0V27C293 34 287 42 287 114V635C232 613 172 594 109 583V559L157 557C201 555 205 550 205 499V114C205 42 199 34 109 27V0H384Z" id="g113-50"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="480" vert-adv-y="480"></glyph.data></g><g transform="matrix(.0135,0,0,-0.0135,34.865,.19)"><path d="M275 270C275 450 212 609 64 710L45 686C145 604 203 442 203 270S147 -63 45 -147L64 -170C213 -68 275 89 275 270Z" id="g113-42"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="346" vert-adv-y="346"></glyph.data></g><g transform="matrix(.0095,0,0,-0.0095,39.659,-6.058)"><path d="M414 144C384 79 371 75 317 75H135L276 221C367 316 408 376 408 465C408 570 327 635 237 635C179 635 131 609 100 575L42 494L67 471C94 510 138 565 205 565C277 565 321 517 321 435C321 348 258 270 195 195C146 137 88 81 33 26V0H411C423 44 433 88 446 135L414 144Z" id="g50-51"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="487" vert-adv-y="487"></glyph.data></g></svg> amplifying selector</td></tr><tr><td align="left">M</td><td align="center">—</td><td align="center">4,4680</td><td align="center">1,9256</td></tr><tr><td align="left">T</td><td align="center">4,4680</td><td align="center">—</td><td align="center">4,3929</td></tr><tr><td align="left">N</td><td align="center">1,9256</td><td align="center">4,3929</td><td align="center">—</td></tr><tr class="table-tr"><td colspan="4"><hr class="tbody-hr" /></td></tr></table></td></tr></table></div></div>

Table 2 | Global Clustering Quality Coefficient Assessing the Efficiency of PCA Class Assignment

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Table 2: Global Clustering Quality Coefficient Assessing the Efficiency of PCA Class Assignment

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Table 2

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