{"id":2406,"date":"2020-01-29T14:53:04","date_gmt":"2020-01-29T05:53:04","guid":{"rendered":"http:\/\/43.203.250.216\/?p=2406"},"modified":"2025-10-01T16:25:03","modified_gmt":"2025-10-01T07:25:03","slug":"back-propgation%ec%97%90%ec%84%9c%ec%9d%98-%ec%a0%84%ec%b9%98%ed%96%89%eb%a0%actranspose-matrix-2%ed%8e%b8","status":"publish","type":"post","link":"https:\/\/litcoder.com\/?p=2406","title":{"rendered":"Back propgation\uc5d0\uc11c\uc758 \uc804\uce58\ud589\ub82c(transpose matrix) &#8211; 2\ud3b8"},"content":{"rendered":"\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\"><p><a href=\"https:\/\/litcoder.com\/?p=2175\">1\ud3b8<\/a>\uc774 \ub108\ubb34 \uae38\uc5b4 \uc838\uc11c <img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=%5Cfrac%7B%5Cpartial+L%7D%7B%5Cpartial+W%7D+%3D+X%5ET+%5Ccdot+%5Cfrac%7B%5Cpartial+L%7D%7B%5Cpartial+Y%7D&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002\" alt=\"&#92;frac{&#92;partial L}{&#92;partial W} = X^T &#92;cdot &#92;frac{&#92;partial L}{&#92;partial Y}\" class=\"latex\" \/>\uc5d0 \ub300\ud55c \uc720\ub3c4\ub294 \uc5ec\uae30\ub85c \ub098\ub204\uc5c8\ub2e4.<\/p><\/blockquote>\n\n\n\n<p>\uc774\uc81c <img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=%5Cfrac%7B%5Cpartial+Y%7D%7B%5Cpartial+W%7D&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002\" alt=\"&#92;frac{&#92;partial Y}{&#92;partial W}\" class=\"latex\" \/>\ub97c \ubcf4\uba74, \uc598\ub4e4\ub3c4 \ubaa8\ub450 matrix\uc774\ub2c8 <img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=%5Cfrac+%7B%5Cpartial+Y%7D%7B%5Cpartial+W%7D&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002\" alt=\"&#92;frac {&#92;partial Y}{&#92;partial W}\" class=\"latex\" \/>\ub294 \ub2e4\uc74c\uacfc \uac19\uc774 \uc0dd\uacbc\ub2e4.<\/p>\n\n\n\n<img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=%5Cfrac%7B%5Cpartial+Y%7D%7B%5Cpartial+W%7D+%3D+%5Cbegin%7Bbmatrix%7D%5Cfrac%7B%5Cpartial+Y%7D%7B%5Cpartial+w_%7B1%2C1%7D%7D+%26+%5Cfrac%7B%5Cpartial+Y%7D%7B%5Cpartial+w_%7B1%2C2%7D%7D+%26+%5Cfrac%7B%5Cpartial+Y%7D%7B%5Cpartial+w_%7B1%2C3%7D%7D+%5C%5C%5C%5C+%5Cfrac%7B%5Cpartial+Y%7D%7B%5Cpartial+w_%7B2%2C1%7D%7D+%26+%5Cfrac%7B%5Cpartial+Y%7D%7B%5Cpartial+w_%7B2%2C2%7D%7D+%26+%5Cfrac%7B%5Cpartial+Y%7D%7B%5Cpartial+w_%7B2%2C3%7D%7D+%5Cend%7Bbmatrix%7D&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002\" alt=\"&#92;frac{&#92;partial Y}{&#92;partial W} = &#92;begin{bmatrix}&#92;frac{&#92;partial Y}{&#92;partial w_{1,1}} &amp; &#92;frac{&#92;partial Y}{&#92;partial w_{1,2}} &amp; &#92;frac{&#92;partial Y}{&#92;partial w_{1,3}} &#92;&#92;&#92;&#92; &#92;frac{&#92;partial Y}{&#92;partial w_{2,1}} &amp; &#92;frac{&#92;partial Y}{&#92;partial w_{2,2}} &amp; &#92;frac{&#92;partial Y}{&#92;partial w_{2,3}} &#92;end{bmatrix}\" class=\"latex\" \/>\n\n\n\n<p>\uccab\ubc88\uc9f8 \uc6d0\uc18c\uc778 <img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=%5Cfrac%7B%5Cpartial+Y%7D%7B%5Cpartial+w_%7B1%2C1%7D%7D&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002\" alt=\"&#92;frac{&#92;partial Y}{&#92;partial w_{1,1}}\" class=\"latex\" \/>\uc744 \uad6c\ud558\uae30 \uc704\ud574 \uc774\uc804 \ucc98\ub7fc, W\uc5d0 \ub300\ud574 Y\ub85c \ud3b8\ubbf8\ubd84\ud558\uba74 \ub2e4\uc74c\uacfc \uac19\uc774\ub41c\ub2e4.<\/p>\n\n\n\n<img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=%5Cfrac%7B%5Cpartial+Y%7D%7B%5Cpartial+w_%7B1%2C1%7D%7D%3D%5Cbegin%7Bbmatrix%7Dx_%7B1%2C1%7D+%26+0+%26+0+%5C%5C%5C%5C+x_%7B2%2C1%7D+%26+0+%26+0%5Cend%7Bbmatrix%7D+%5C%5C%5C%5C+%5Cfrac%7B%5Cpartial+Y%7D%7B%5Cpartial+w_%7B1%2C2%7D%7D%3D%5Cbegin%7Bbmatrix%7D0+%26+x_%7B1%2C1%7D+%26+0+%5C%5C%5C%5C+0+%26+x_%7B2%2C1%7D+%26+0%5Cend%7Bbmatrix%7D+%5C%5C%5C%5C+%5Cfrac%7B%5Cpartial+Y%7D%7B%5Cpartial+w_%7B1%2C3%7D%7D%3D%5Cbegin%7Bbmatrix%7D0+%26+0+%26+x_%7B1%2C1%7D+%5C%5C%5C%5C+0+%26+0+%26+x_%7B2%2C1%7D%5Cend%7Bbmatrix%7D+%5C%5C%5C%5C+%5Cfrac%7B%5Cpartial+Y%7D%7B%5Cpartial+w_%7B2%2C1%7D%7D%3D%5Cbegin%7Bbmatrix%7Dx_%7B1%2C2%7D+%26+0+%26+0+%5C%5C%5C%5C+x_%7B2%2C2%7D+%26+0+%26+0%5Cend%7Bbmatrix%7D+%5C%5C%5C%5C+%5Cfrac%7B%5Cpartial+Y%7D%7B%5Cpartial+w_%7B2%2C2%7D%7D%3D%5Cbegin%7Bbmatrix%7D0+%26+x_%7B1%2C2%7D+%26+0+%5C%5C%5C%5C+0+%26+x_%7B2%2C2%7D+%26+0%5Cend%7Bbmatrix%7D+%5C%5C%5C%5C+%5Cfrac%7B%5Cpartial+Y%7D%7B%5Cpartial+w_%7B2%2C3%7D%7D%3D%5Cbegin%7Bbmatrix%7D0+%26+0+%26+x_%7B1%2C2%7D+%5C%5C%5C%5C+0+%26+0+%26+x_%7B2%2C2%7D%5Cend%7Bbmatrix%7D&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002\" alt=\"&#92;frac{&#92;partial Y}{&#92;partial w_{1,1}}=&#92;begin{bmatrix}x_{1,1} &amp; 0 &amp; 0 &#92;&#92;&#92;&#92; x_{2,1} &amp; 0 &amp; 0&#92;end{bmatrix} &#92;&#92;&#92;&#92; &#92;frac{&#92;partial Y}{&#92;partial w_{1,2}}=&#92;begin{bmatrix}0 &amp; x_{1,1} &amp; 0 &#92;&#92;&#92;&#92; 0 &amp; x_{2,1} &amp; 0&#92;end{bmatrix} &#92;&#92;&#92;&#92; &#92;frac{&#92;partial Y}{&#92;partial w_{1,3}}=&#92;begin{bmatrix}0 &amp; 0 &amp; x_{1,1} &#92;&#92;&#92;&#92; 0 &amp; 0 &amp; x_{2,1}&#92;end{bmatrix} &#92;&#92;&#92;&#92; &#92;frac{&#92;partial Y}{&#92;partial w_{2,1}}=&#92;begin{bmatrix}x_{1,2} &amp; 0 &amp; 0 &#92;&#92;&#92;&#92; x_{2,2} &amp; 0 &amp; 0&#92;end{bmatrix} &#92;&#92;&#92;&#92; &#92;frac{&#92;partial Y}{&#92;partial w_{2,2}}=&#92;begin{bmatrix}0 &amp; x_{1,2} &amp; 0 &#92;&#92;&#92;&#92; 0 &amp; x_{2,2} &amp; 0&#92;end{bmatrix} &#92;&#92;&#92;&#92; &#92;frac{&#92;partial Y}{&#92;partial w_{2,3}}=&#92;begin{bmatrix}0 &amp; 0 &amp; x_{1,2} &#92;&#92;&#92;&#92; 0 &amp; 0 &amp; x_{2,2}&#92;end{bmatrix}\" class=\"latex\" \/>\n\n\n\n<p>Matrix W\uc758 \uac01 \uc6d0\uc18c\ub4e4 \uc5ed\uc2dc scalar\uc774\ubbc0\ub85c <a href=\"https:\/\/litcoder.com\/?p=2175\">1\ud3b8<\/a>\uc5d0\uc11c X\uc758 \uacbd\uc6b0 \ucc98\ub7fc, \ub2e4\uc74c\uacfc \uac19\uc774 \ub098\ud0c0\ub0bc \uc218 \uc788\ub2e4.<\/p>\n\n\n\n<img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=%5Cfrac%7B%5Cpartial+L%7D%7B%5Cpartial+w_%7B1%2C1%7D%7D+%3D+%5Csum_%7Bi%3D1%7D%7BN%7D+%5Csum_%7Bj%3D1%7D%7BM%7D%5Cfrac%7B%5Cpartial+L%7D%7B%5Cpartial+y_%7Bi%2Cj%7D%7D+%5Ccdot+%5Cfrac%7B%5Cpartial+y_%7Bi%2Cj%7D%7D%7B%5Cpartial+w_%7B1%2C1%7D%7D&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002\" alt=\"&#92;frac{&#92;partial L}{&#92;partial w_{1,1}} = &#92;sum_{i=1}{N} &#92;sum_{j=1}{M}&#92;frac{&#92;partial L}{&#92;partial y_{i,j}} &#92;cdot &#92;frac{&#92;partial y_{i,j}}{&#92;partial w_{1,1}}\" class=\"latex\" \/>\n\n\n\n<p><\/p>\n\n\n\n<img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=%5Cfrac%7B%5Cpartial+L%7D%7B%5Cpartial+w_%7B1%2C1%7D%7D+%3D+%28%5Cfrac%7B%5Cpartial+L%7D%7B%5Cpartial+y_%7B1%2C1%7D%7D+%5Ctimes+x_%7B1%2C1%7D%29+%2B+%28%5Cfrac%7B%5Cpartial+L%7D%7B%5Cpartial+y_%7B2%2C1%7D%7D+%5Ctimes+x_%7B2%2C1%7D%29+%5C%5C%5C%5C+%5Cfrac%7B%5Cpartial+L%7D%7B%5Cpartial+w_%7B1%2C2%7D%7D+%3D+%28%5Cfrac%7B%5Cpartial+L%7D%7B%5Cpartial+y_%7B1%2C2%7D%7D+%5Ctimes+x_%7B1%2C1%7D%29+%2B+%28%5Cfrac%7B%5Cpartial+L%7D%7B%5Cpartial+y_%7B2%2C2%7D%7D+%5Ctimes+x_%7B2%2C1%7D%29+%5C%5C%5C%5C+%5Cfrac%7B%5Cpartial+L%7D%7B%5Cpartial+w_%7B1%2C3%7D%7D+%3D+%28%5Cfrac%7B%5Cpartial+L%7D%7B%5Cpartial+y_%7B1%2C3%7D%7D+%5Ctimes+x_%7B1%2C1%7D%29+%2B+%28%5Cfrac%7B%5Cpartial+L%7D%7B%5Cpartial+y_%7B2%2C3%7D%7D+%5Ctimes+x_%7B2%2C1%7D%29+%5C%5C%5C%5C+%5Cfrac%7B%5Cpartial+L%7D%7B%5Cpartial+w_%7B2%2C1%7D%7D+%3D+%28%5Cfrac%7B%5Cpartial+L%7D%7B%5Cpartial+y_%7B1%2C1%7D%7D+%5Ctimes+x_%7B1%2C2%7D%29+%2B+%28%5Cfrac%7B%5Cpartial+L%7D%7B%5Cpartial+y_%7B2%2C1%7D%7D+%5Ctimes+x_%7B2%2C2%7D%29+%5C%5C%5C%5C+%5Cfrac%7B%5Cpartial+L%7D%7B%5Cpartial+w_%7B2%2C2%7D%7D+%3D+%28%5Cfrac%7B%5Cpartial+L%7D%7B%5Cpartial+y_%7B1%2C2%7D%7D+%5Ctimes+x_%7B1%2C2%7D%29+%2B+%28%5Cfrac%7B%5Cpartial+L%7D%7B%5Cpartial+y_%7B2%2C2%7D%7D+%5Ctimes+x_%7B2%2C2%7D%29+%5C%5C%5C%5C+%5Cfrac%7B%5Cpartial+L%7D%7B%5Cpartial+w_%7B2%2C3%7D%7D+%3D+%28%5Cfrac%7B%5Cpartial+L%7D%7B%5Cpartial+y_%7B1%2C3%7D%7D+%5Ctimes+x_%7B1%2C2%7D%29+%2B+%28%5Cfrac%7B%5Cpartial+L%7D%7B%5Cpartial+y_%7B2%2C3%7D%7D+%5Ctimes+x_%7B2%2C2%7D%29+&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002\" alt=\"&#92;frac{&#92;partial L}{&#92;partial w_{1,1}} = (&#92;frac{&#92;partial L}{&#92;partial y_{1,1}} &#92;times x_{1,1}) + (&#92;frac{&#92;partial L}{&#92;partial y_{2,1}} &#92;times x_{2,1}) &#92;&#92;&#92;&#92; &#92;frac{&#92;partial L}{&#92;partial w_{1,2}} = (&#92;frac{&#92;partial L}{&#92;partial y_{1,2}} &#92;times x_{1,1}) + (&#92;frac{&#92;partial L}{&#92;partial y_{2,2}} &#92;times x_{2,1}) &#92;&#92;&#92;&#92; &#92;frac{&#92;partial L}{&#92;partial w_{1,3}} = (&#92;frac{&#92;partial L}{&#92;partial y_{1,3}} &#92;times x_{1,1}) + (&#92;frac{&#92;partial L}{&#92;partial y_{2,3}} &#92;times x_{2,1}) &#92;&#92;&#92;&#92; &#92;frac{&#92;partial L}{&#92;partial w_{2,1}} = (&#92;frac{&#92;partial L}{&#92;partial y_{1,1}} &#92;times x_{1,2}) + (&#92;frac{&#92;partial L}{&#92;partial y_{2,1}} &#92;times x_{2,2}) &#92;&#92;&#92;&#92; &#92;frac{&#92;partial L}{&#92;partial w_{2,2}} = (&#92;frac{&#92;partial L}{&#92;partial y_{1,2}} &#92;times x_{1,2}) + (&#92;frac{&#92;partial L}{&#92;partial y_{2,2}} &#92;times x_{2,2}) &#92;&#92;&#92;&#92; &#92;frac{&#92;partial L}{&#92;partial w_{2,3}} = (&#92;frac{&#92;partial L}{&#92;partial y_{1,3}} &#92;times x_{1,2}) + (&#92;frac{&#92;partial L}{&#92;partial y_{2,3}} &#92;times x_{2,2}) \" class=\"latex\" \/>\n\n\n\n<p>\uc774\uac83\uc744 2X3\uc778 matrix\ub85c \ub098\ud0c0\ub0b4\uba74<\/p>\n\n\n\n<img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=%5Cfrac%7B%5Cpartial+L%7D%7B%5Cpartial+W%7D+%3D+%5Cbegin%7Bbmatrix%7D%28%5Cfrac%7B%5Cpartial+L%7D%7B%5Cpartial+y_%7B1%2C1%7D%7D+%5Ctimes+x_%7B1%2C1%7D%29+%2B+%28%5Cfrac%7B%5Cpartial+L%7D%7B%5Cpartial+y_%7B2%2C1%7D%7D+%5Ctimes+x_%7B2%2C1%7D%29+%26+%28%5Cfrac%7B%5Cpartial+L%7D%7B%5Cpartial+y_%7B1%2C2%7D%7D+%5Ctimes+x_%7B1%2C1%7D%29+%2B+%28%5Cfrac%7B%5Cpartial+L%7D%7B%5Cpartial+y_%7B2%2C2%7D%7D+%5Ctimes+x_%7B2%2C1%7D%29+%26+%28%5Cfrac%7B%5Cpartial+L%7D%7B%5Cpartial+y_%7B1%2C3%7D%7D+%5Ctimes+x_%7B1%2C1%7D%29+%2B+%28%5Cfrac%7B%5Cpartial+L%7D%7B%5Cpartial+y_%7B2%2C3%7D%7D+%5Ctimes+x_%7B2%2C1%7D%29+%5C%5C%5C%5C+%28%5Cfrac%7B%5Cpartial+L%7D%7B%5Cpartial+y_%7B1%2C1%7D%7D+%5Ctimes+x_%7B1%2C2%7D%29+%2B+%28%5Cfrac%7B%5Cpartial+L%7D%7B%5Cpartial+y_%7B2%2C1%7D%7D+%5Ctimes+x_%7B2%2C2%7D%29+%26+%28%5Cfrac%7B%5Cpartial+L%7D%7B%5Cpartial+y_%7B1%2C2%7D%7D+%5Ctimes+x_%7B1%2C2%7D%29+%2B+%28%5Cfrac%7B%5Cpartial+L%7D%7B%5Cpartial+y_%7B2%2C2%7D%7D+%5Ctimes+x_%7B2%2C2%7D%29+%26+%28%5Cfrac%7B%5Cpartial+L%7D%7B%5Cpartial+y_%7B1%2C3%7D%7D+%5Ctimes+x_%7B1%2C2%7D%29+%2B+%28%5Cfrac%7B%5Cpartial+L%7D%7B%5Cpartial+y_%7B2%2C3%7D%7D+%5Ctimes+x_%7B2%2C2%7D%29+%5Cend%7Bbmatrix%7D&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002\" alt=\"&#92;frac{&#92;partial L}{&#92;partial W} = &#92;begin{bmatrix}(&#92;frac{&#92;partial L}{&#92;partial y_{1,1}} &#92;times x_{1,1}) + (&#92;frac{&#92;partial L}{&#92;partial y_{2,1}} &#92;times x_{2,1}) &amp; (&#92;frac{&#92;partial L}{&#92;partial y_{1,2}} &#92;times x_{1,1}) + (&#92;frac{&#92;partial L}{&#92;partial y_{2,2}} &#92;times x_{2,1}) &amp; (&#92;frac{&#92;partial L}{&#92;partial y_{1,3}} &#92;times x_{1,1}) + (&#92;frac{&#92;partial L}{&#92;partial y_{2,3}} &#92;times x_{2,1}) &#92;&#92;&#92;&#92; (&#92;frac{&#92;partial L}{&#92;partial y_{1,1}} &#92;times x_{1,2}) + (&#92;frac{&#92;partial L}{&#92;partial y_{2,1}} &#92;times x_{2,2}) &amp; (&#92;frac{&#92;partial L}{&#92;partial y_{1,2}} &#92;times x_{1,2}) + (&#92;frac{&#92;partial L}{&#92;partial y_{2,2}} &#92;times x_{2,2}) &amp; (&#92;frac{&#92;partial L}{&#92;partial y_{1,3}} &#92;times x_{1,2}) + (&#92;frac{&#92;partial L}{&#92;partial y_{2,3}} &#92;times x_{2,2}) &#92;end{bmatrix}\" class=\"latex\" \/>\n\n\n\n<p>Matrix X\uc640 W\uc6d0\uc18c\uc758 \uc704\uce58\ub97c \ubc14\uafd4\uc11c \ub098\ud0c0\ub0b4\uba74<\/p>\n\n\n\n<img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=%5Cfrac%7B%5Cpartial+L%7D%7B%5Cpartial+W%7D+%3D+%5Cbegin%7Bbmatrix%7D%28x_%7B1%2C1%7D+%5Ctimes+%5Cfrac%7B%5Cpartial+L%7D%7B%5Cpartial+y_%7B1%2C1%7D%7D%29+%2B+%28x_%7B2%2C1%7D+%5Ctimes+%5Cfrac%7B%5Cpartial+L%7D%7B%5Cpartial+y_%7B2%2C1%7D%7D%29+%26+%28x_%7B1%2C1%7D+%5Ctimes+%5Cfrac%7B%5Cpartial+L%7D%7B%5Cpartial+y_%7B1%2C2%7D%7D%29+%2B+%28x_%7B2%2C1%7D+%5Ctimes+%5Cfrac%7B%5Cpartial+L%7D%7B%5Cpartial+y_%7B2%2C2%7D%7D%29+%26+%28x_%7B2%2C1%7D+%5Ctimes+%5Cfrac%7B%5Cpartial+L%7D%7B%5Cpartial+y_%7B1%2C3%7D%7D%29+%2B+%28x_%7B1%2C1%7D+%5Ctimes+%5Cfrac%7B%5Cpartial+L%7D%7B%5Cpartial+y_%7B2%2C3%7D%7D%29++%5C%5C%5C%5C+%28x_%7B1%2C2%7D+%5Ctimes+%5Cfrac%7B%5Cpartial+L%7D%7B%5Cpartial+y_%7B1%2C1%7D%7D%29+%2B+%28x_%7B2%2C2%7D+%5Ctimes+%5Cfrac%7B%5Cpartial+L%7D%7B%5Cpartial+y_%7B2%2C1%7D%7D%29+%26+%28x_%7B1%2C2%7D+%5Ctimes+%5Cfrac%7B%5Cpartial+L%7D%7B%5Cpartial+y_%7B1%2C2%7D%7D%29+%2B+%28x_%7B2%2C2%7D+%5Ctimes+%5Cfrac%7B%5Cpartial+L%7D%7B%5Cpartial+y_%7B2%2C2%7D%7D%29+%26+%28x_%7B1%2C2%7D+%5Ctimes+%5Cfrac%7B%5Cpartial+L%7D%7B%5Cpartial+y_%7B1%2C3%7D%7D%29+%2B+%28x_%7B2%2C2%7D+%5Ctimes+%5Cfrac%7B%5Cpartial+L%7D%7B%5Cpartial+y_%7B2%2C3%7D%7D%29+%5Cend%7Bbmatrix%7D&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002\" alt=\"&#92;frac{&#92;partial L}{&#92;partial W} = &#92;begin{bmatrix}(x_{1,1} &#92;times &#92;frac{&#92;partial L}{&#92;partial y_{1,1}}) + (x_{2,1} &#92;times &#92;frac{&#92;partial L}{&#92;partial y_{2,1}}) &amp; (x_{1,1} &#92;times &#92;frac{&#92;partial L}{&#92;partial y_{1,2}}) + (x_{2,1} &#92;times &#92;frac{&#92;partial L}{&#92;partial y_{2,2}}) &amp; (x_{2,1} &#92;times &#92;frac{&#92;partial L}{&#92;partial y_{1,3}}) + (x_{1,1} &#92;times &#92;frac{&#92;partial L}{&#92;partial y_{2,3}})  &#92;&#92;&#92;&#92; (x_{1,2} &#92;times &#92;frac{&#92;partial L}{&#92;partial y_{1,1}}) + (x_{2,2} &#92;times &#92;frac{&#92;partial L}{&#92;partial y_{2,1}}) &amp; (x_{1,2} &#92;times &#92;frac{&#92;partial L}{&#92;partial y_{1,2}}) + (x_{2,2} &#92;times &#92;frac{&#92;partial L}{&#92;partial y_{2,2}}) &amp; (x_{1,2} &#92;times &#92;frac{&#92;partial L}{&#92;partial y_{1,3}}) + (x_{2,2} &#92;times &#92;frac{&#92;partial L}{&#92;partial y_{2,3}}) &#92;end{bmatrix}\" class=\"latex\" \/>\n\n\n\n<p>Matrix X\uc640 Y\ub85c \uad6c\ubd84\ud558\uba74<\/p>\n\n\n\n<p><img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=%5Cfrac%7B%5Cpartial+L%7D%7B%5Cpartial+W%7D+%3D+%5Cbegin%7Bbmatrix%7Dx_%7B1%2C1%7D+%26+x_%7B2%2C1%7D+%5C%5C%5C%5C+x_%7B1%2C2%7D+%26+x_%7B2%2C2%7D%5Cend%7Bbmatrix%7D+%5Ccdot+%5Cbegin%7Bbmatrix%7D%5Cfrac%7B%5Cpartial+L%7D%7B%5Cpartial+y_%7B1%2C1%7D%7D++%26+%5Cfrac%7B%5Cpartial+L%7D%7B%5Cpartial+y_%7B1%2C2%7D%7D+%26+%5Cfrac%7B%5Cpartial+L%7D%7B%5Cpartial+y_%7B1%2C3%7D%7D+%5C%5C%5C%5C+%5Cfrac%7B%5Cpartial+L%7D%7B%5Cpartial+y_%7B2%2C1%7D%7D+%26+%5Cfrac%7B%5Cpartial+L%7D%7B%5Cpartial+y_%7B2%2C2%7D%7D+%26+%5Cfrac%7B%5Cpartial+L%7D%7B%5Cpartial+y_%7B2%2C3%7D%7D%5Cend%7Bbmatrix%7D+%3D+X%5ET+%5Ccdot+%5Cfrac%7B%5Cpartial+L%7D%7B%5Cpartial+Y%7D&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002\" alt=\"&#92;frac{&#92;partial L}{&#92;partial W} = &#92;begin{bmatrix}x_{1,1} &amp; x_{2,1} &#92;&#92;&#92;&#92; x_{1,2} &amp; x_{2,2}&#92;end{bmatrix} &#92;cdot &#92;begin{bmatrix}&#92;frac{&#92;partial L}{&#92;partial y_{1,1}}  &amp; &#92;frac{&#92;partial L}{&#92;partial y_{1,2}} &amp; &#92;frac{&#92;partial L}{&#92;partial y_{1,3}} &#92;&#92;&#92;&#92; &#92;frac{&#92;partial L}{&#92;partial y_{2,1}} &amp; &#92;frac{&#92;partial L}{&#92;partial y_{2,2}} &amp; &#92;frac{&#92;partial L}{&#92;partial y_{2,3}}&#92;end{bmatrix} = X^T &#92;cdot &#92;frac{&#92;partial L}{&#92;partial Y}\" class=\"latex\" \/>\uc774 \uc131\ub9bd\ud55c\ub2e4.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>1\ud3b8\uc774 \ub108\ubb34 \uae38\uc5b4 \uc838\uc11c \uc5d0 \ub300\ud55c \uc720\ub3c4\ub294 \uc5ec\uae30\ub85c \ub098\ub204\uc5c8\ub2e4. \uc774\uc81c \ub97c \ubcf4\uba74, \uc598\ub4e4\ub3c4 \ubaa8\ub450 matrix\uc774\ub2c8 \ub294 \ub2e4\uc74c\uacfc \uac19\uc774 \uc0dd\uacbc\ub2e4. \uccab\ubc88\uc9f8 \uc6d0\uc18c\uc778 \uc744 \uad6c\ud558\uae30 \uc704\ud574 \uc774\uc804 \ucc98\ub7fc, W\uc5d0 \ub300\ud574 Y\ub85c \ud3b8\ubbf8\ubd84\ud558\uba74 \ub2e4\uc74c\uacfc \uac19\uc774\ub41c\ub2e4. Matrix W\uc758 \uac01 \uc6d0\uc18c\ub4e4 \uc5ed\uc2dc scalar\uc774\ubbc0\ub85c 1\ud3b8\uc5d0\uc11c X\uc758 \uacbd\uc6b0 \ucc98\ub7fc, \ub2e4\uc74c\uacfc \uac19\uc774 \ub098\ud0c0\ub0bc \uc218 \uc788\ub2e4. \uc774\uac83\uc744 2X3\uc778 matrix\ub85c \ub098\ud0c0\ub0b4\uba74 Matrix X\uc640 W\uc6d0\uc18c\uc758 \uc704\uce58\ub97c [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[5],"tags":[216,212,213,214,217,215],"class_list":["post-2406","post","type-post","status-publish","format-standard","hentry","category-programming","tag-affine-layer","tag-back-prop","tag-back-propagation","tag-deep-learning","tag-linear-layer","tag-transpose-matrix"],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/litcoder.com\/index.php?rest_route=\/wp\/v2\/posts\/2406","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/litcoder.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/litcoder.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/litcoder.com\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/litcoder.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2406"}],"version-history":[{"count":16,"href":"https:\/\/litcoder.com\/index.php?rest_route=\/wp\/v2\/posts\/2406\/revisions"}],"predecessor-version":[{"id":3630,"href":"https:\/\/litcoder.com\/index.php?rest_route=\/wp\/v2\/posts\/2406\/revisions\/3630"}],"wp:attachment":[{"href":"https:\/\/litcoder.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2406"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/litcoder.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2406"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/litcoder.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2406"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}