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15 | 15 |
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16 | 16 |
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17 | 17 |
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| 18 | + <item> |
| 19 | + <title>Poem 2. "Occidental"</title> |
| 20 | + <link>http://localhost:1313/poem-2.-occidental/</link> |
| 21 | + <pubDate>Wed, 30 Apr 2025 00:00:00 +0000</pubDate> |
| 22 | + |
| 23 | + <guid>http://localhost:1313/poem-2.-occidental/</guid> |
| 24 | + <description><p>El negro de la noche es el final del infinito;<br> |
| 25 | +la verdad me llega a la velocidad de la luz.<br> |
| 26 | +Son trayectorias que trazan entre los átomos,<br> |
| 27 | +son curvas que desnudan misterios paralelos.<br> |
| 28 | +Es hipótesis de tiempo escrita en el espacio,<br> |
| 29 | +es información que se filtra entre la materia.</p> |
| 30 | +</description> |
| 31 | + </item> |
| 32 | + |
| 33 | + |
| 34 | + |
18 | 35 | <item> |
19 | 36 | <title>The Elo Rating System through Likelihood Gradient Ascent</title> |
20 | 37 | <link>http://localhost:1313/the-elo-rating-system-through-likelihood-gradient-ascent/</link> |
@@ -95,7 +112,7 @@ We will replace that with its formal meaning, which is a specific kind of <a |
95 | 112 | <p>This should seem odd, as a subset is in no obvious way reminiscent of a permutation. But introducing some new syntax to indicate membership in a relation,</p> |
96 | 113 | $$ |
97 | 114 | (x, y) \in R \vdash xRy, |
98 | | -$$<p>we are an example away from making sense. In particular, consider $R = \, &lt;$ (less-than). When we say things like &ldquo;$x &lt; y$,&rdquo; we are in fact using syntactic sugar for &ldquo;$(x, y) \in \, &lt;$.&rdquo; With this in mind, we can take a look at <a href="https://en.wikipedia.org/wiki/Partially_ordered_set">partial orders</a>.</p> |
| 115 | +$$<p>we are an example away from making sense. In particular, consider $R = \, \leq$ (less-than). When we say things like &ldquo;$x \leq y$,&rdquo; we are in fact using syntactic sugar for &ldquo;$(x, y) \in \, \leq$.&rdquo; With this in mind, we can take a look at <a href="https://en.wikipedia.org/wiki/Partially_ordered_set">partial orders</a>.</p> |
99 | 116 | <style> |
100 | 117 | .box-body > :last-child { |
101 | 118 | margin-bottom: 0 !important; |
@@ -395,7 +412,7 @@ $$<style> |
395 | 412 | " |
396 | 413 | /> |
397 | 414 | <div style="font-size: 0.92em" class="box-body"> |
398 | | -<p>Notice <strong>we did not use a prior</strong> when estimating $\hat\delta_{i, , j}$. This assumption is due to Elo; we will not use players&rsquo; history when calculating their performance for a single game. This is the design decision that, by omission, accounts for sudden changes in player skill (as a result of learning, etc.).</p> |
| 415 | +<p>Notice <strong>we did not use a prior</strong> when estimating $\hat\delta_{i, \, j}$. This assumption is due to Elo; we will not use players&rsquo; history when calculating their performance for a single game. This is the design decision that, by omission, accounts for sudden changes in player skill (as a result of learning, etc.).</p> |
399 | 416 | </div> |
400 | 417 | </div> |
401 | 418 | <style> |
|
574 | 591 | $$<p>Being again unable to ignore our instincts,</p> |
575 | 592 | $$ |
576 | 593 | \begin{equation} |
577 | | - \nabla_{\mathbf r}\log \mathcal{J}_{\mathrm{MAP}}(\theta_i,\theta_j;\hat\delta_{i,j}) |
| 594 | + \nabla_{\mathbf r}\log \mathcal{J}_{\mathrm{MAP}}(\theta_i,\theta_j;\hat\delta_{i, \, j}) |
578 | 595 | = \begin{bmatrix} |
579 | 596 | \displaystyle |
580 | | - \frac{g(\hat\delta_{i,j}) - (r_i - r_j)}{\sigma_\varepsilon^2 + \sigma_i^2 + \sigma_j^2} |
581 | | - \;-\;\frac{r_i - r_\pi}{\sigma_\pi^2} |
| 597 | + \frac{g(\hat\delta_{i, \, j}) - (r_i - r_j)}{\sigma_\varepsilon^2 + \sigma_i^2 + \sigma_j^2} |
582 | 598 | \\\\ |
583 | 599 | \displaystyle |
584 | | - -\frac{g(\hat\delta_{i,j}) - (r_i - r_j)}{\sigma_\varepsilon^2 + \sigma_i^2 + \sigma_j^2} |
585 | | - \;-\;\frac{r_j - r_\pi}{\sigma_\pi^2} |
| 600 | + -\frac{g(\hat\delta_{i, \, j}) - (r_i - r_j)}{\sigma_\varepsilon^2 + \sigma_i^2 + \sigma_j^2} |
| 601 | + \end{bmatrix} |
| 602 | + - |
| 603 | + \begin{bmatrix} |
| 604 | + \displaystyle |
| 605 | +\frac{r_i - r_\pi}{\sigma_\pi^2} |
| 606 | +\\\\ |
| 607 | + \displaystyle |
| 608 | +\frac{r_j - r_\pi}{\sigma_\pi^2} |
586 | 609 | \end{bmatrix}. |
587 | 610 | \end{equation} |
588 | 611 | $$<style> |
@@ -795,51 +818,34 @@ $$<div class="footnotes" role="doc-endnotes"> |
795 | 818 |
|
796 | 819 |
|
797 | 820 | <item> |
798 | | - <title>Poem 1. "Dedicado a Delia"</title> |
799 | | - <link>http://localhost:1313/poem-1.-dedicado-a-delia/</link> |
| 821 | + <title>Poem 1. "Delia"</title> |
| 822 | + <link>http://localhost:1313/poem-1.-delia/</link> |
800 | 823 | <pubDate>Sun, 27 Apr 2025 00:00:00 +0000</pubDate> |
801 | 824 |
|
802 | | - <guid>http://localhost:1313/poem-1.-dedicado-a-delia/</guid> |
803 | | - <description><p>madre que no te suelta el estandarte<br> |
804 | | -madre de selva que te cubre como yedra<br> |
805 | | -me arrulla desde la penumbra<br> |
806 | | -me susurra el nombre de Dios<br> |
807 | | -ya quítame de aquí que me muero, madre<br> |
808 | | -dame las palabras que me corresponden<br> |
809 | | -sacude desde tu sigilo mi sangre<br> |
810 | | -hazme llegar tu amor<br> |
811 | | -soledad eterna y vida corta<br> |
812 | | -no te vayas a olvidar de mí<br> |
813 | | -madre que a ciegas todo lo ve<br> |
814 | | -corazón de parota, palabras de luz<br> |
815 | | -eres la cumbre de este desierto<br> |
816 | | -autora del método mío<br> |
817 | | -madre de todo<br> |
818 | | -mi primer amor, también el último<br> |
819 | | -mi castillo, mi escudo, mi ángel<br> |
820 | | -águila de quinientas virtudes<br> |
821 | | -reguilete infinito de colores<br> |
822 | | -piedra de orgullo inexorable<br> |
823 | | -árbol terrestre que toca el cielo<br> |
824 | | -sosiego inminente<br> |
825 | | -calor solar</p> |
826 | | -</description> |
827 | | - </item> |
828 | | - |
829 | | - |
830 | | - |
831 | | - <item> |
832 | | - <title>Poem 2. "Occidental"</title> |
833 | | - <link>http://localhost:1313/poem-2.-occidental/</link> |
834 | | - <pubDate>Sun, 27 Apr 2025 00:00:00 +0000</pubDate> |
835 | | - |
836 | | - <guid>http://localhost:1313/poem-2.-occidental/</guid> |
837 | | - <description><p>El negro de la noche es el final del infinito; |
838 | | -la verdad me llega a la velocidad de la luz. |
839 | | -Son trayectorias que trazan entre los átomos, |
840 | | -son curvas que desnudan misterios paralelos. |
841 | | -Es hipótesis de tiempo escrita en el espacio, |
842 | | -es información que se filtra entre la materia.</p> |
| 825 | + <guid>http://localhost:1313/poem-1.-delia/</guid> |
| 826 | + <description><p>Madre que no te suelta el estandarte,<br> |
| 827 | +madre de selva que te cubre como yedra;<br> |
| 828 | +me arrulla desde la penumbra,<br> |
| 829 | +me susurra el nombre de Dios.<br> |
| 830 | +Ya quítame de aquí que me muero, madre,<br> |
| 831 | +dame las palabras que me corresponden,<br> |
| 832 | +sacude desde tu sigilo mi sangre,<br> |
| 833 | +hazme llegar tu amor.<br> |
| 834 | +Soledad eterna y vida corta,<br> |
| 835 | +no te vayas a olvidar de mí.<br> |
| 836 | +Madre que a ciegas todo lo ve;<br> |
| 837 | +corazón de parota, palabras de luz.<br> |
| 838 | +Eres la cumbre de este desierto,<br> |
| 839 | +autora del método mío,<br> |
| 840 | +madre de todo.<br> |
| 841 | +Mi primer amor, también el último,<br> |
| 842 | +mi castillo, mi escudo, mi ángel.<br> |
| 843 | +Águila de quinientas virtudes,<br> |
| 844 | +reguilete infinito de colores,<br> |
| 845 | +piedra de orgullo inexorable.<br> |
| 846 | +Arbol terrestre que toca el cielo,<br> |
| 847 | +sosiego inminente,<br> |
| 848 | +calor solar.</p> |
843 | 849 | </description> |
844 | 850 | </item> |
845 | 851 |
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