{"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 class=\"wp-block-paragraph\">\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<p class=\"wp-block-paragraph\"><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\" \/><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\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<p class=\"wp-block-paragraph\"><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\" \/><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">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<p class=\"wp-block-paragraph\"><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\" \/><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><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\" \/><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\uc774\uac83\uc744 2X3\uc778 matrix\ub85c \ub098\ud0c0\ub0b4\uba74<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><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\" \/><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Matrix X\uc640 W\uc6d0\uc18c\uc758 \uc704\uce58\ub97c \ubc14\uafd4\uc11c \ub098\ud0c0\ub0b4\uba74<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><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\" \/><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Matrix X\uc640 Y\ub85c \uad6c\ubd84\ud558\uba74<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><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":{"_import_markdown_pro_load_document_selector":0,"_import_markdown_pro_submit_text_textarea":"","_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_feature_clip_id":0,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_post_was_ever_published":false},"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_sharing_enabled":true,"jetpack-related-posts":[{"id":2175,"url":"https:\/\/litcoder.com\/?p=2175","url_meta":{"origin":2406,"position":0},"title":"Back propgation\uc5d0\uc11c\uc758 \uc804\uce58\ud589\ub82c(transpose matrix) &#8211; 1\ud3b8","author":"litcoder","date":"2020\ub144 1\uc6d4 29\uc77c","format":false,"excerpt":"\uc2e4\uc81c\ub85c \uc804\uac1c\ud574\ubcf4\uba74 \ub2e4\uc74c \uc2dd\uc774 \ub3c4\ucd9c\ub429\ub2c8\ub2e4([\uc2dd 5.13]\uc73c\ub85c \uc774\ub044\ub294 \uacfc\uc815\uc740 \uc0dd\ub7b5\ud569\ub2c8\ub2e4). - p172, 5.6.1 Affine \uacc4\uce35, \ubc11\ubc14\ub2e5\ubd80\ud130 \uc2dc\uc791\ud558\ub294 \ub525\ub7ec\ub2dd \uc544\ub2c8! \uadf8\uac78 \uc0dd\ub7b5\ud558\uba74 \uc5b4\ub5a1\ud574\uc694!! \"\ubc11\ubc14\ub2e5\ubd80\ud130 \uc2dc\uc791\ud558\ub294 \ub525\ub7ec\ub2dd\"\uc744 \uc77d\uc73c\uba74\uc11c \ub525\ub7ec\ub2dd\uc758 \uac1c\ub150\uc744 \uc7a1\ub294\ub370 \ub9ce\uc740 \ub3c4\uc6c0\uc744 \ubc1b\uace0 \uc788\uc9c0\ub9cc \uad73\uc774 \ub2e8\uc810\uc744 \ub4e4\uc790\uba74 \uc8fc\uc694\ud55c \uacf5\uc2dd \ub4e4\uc5d0 \ub300\ud574 \uc124\uba85\ud558\uc9c0 \uc54a\uace0 \uadf8\ub0e5 \ub118\uc5b4 \uac00\ubc84\ub9ac\ub294 \uacbd\uc6b0\uac00 \uac00\ub054 \uc788\ub2e4. \uc704\uc5d0\uc11c \ub9d0\ud558\ub294 [\uc2dd\u2026","rel":"","context":"&quot;Programming&quot;\uc5d0\uc11c","block_context":{"text":"Programming","link":"https:\/\/litcoder.com\/?cat=5"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":4025,"url":"https:\/\/litcoder.com\/?p=4025","url_meta":{"origin":2406,"position":1},"title":"OpenVINO Object Detection Model\uc758 \uc804\ucc98\ub9ac\uc640 \ud6c4\ucc98\ub9ac\ub97c \uac04\ub2e8\ud558\uac8c","author":"litcoder","date":"2026\ub144 1\uc6d4 28\uc77c","format":false,"excerpt":"AI model\ub4e4\uc740 \uc785\ucd9c\ub825 layer\uc758 \uad6c\uc870\uac00 \ub2e4\ub974\ubbc0\ub85c \uc11c\ub85c \ub2e4\ub978 pre\/post processing\uc744 \ud544\uc694\ub85c \ud55c\ub2e4. Vision model\uc744 \uc608\ub85c \ub4e4\uba74 \uc5b4\ub5a4 \ubaa8\ub378\uc740 \uc785\ub825\uc744 416x416\uc73c\ub85c \ubc1b\uac8c \ub418\uc5b4 \uc788\uc5b4\uc11c \uc785\ub825 \uc804\uc5d0 \uc6d0\ubcf8 \ud06c\uae30\ub85c \ubd80\ud130 resizing\uc744 \ud574\uc8fc\uc5b4\uc57c \ud558\uace0, \uc5b4\ub5a4 \ubaa8\ub378\uc740 resizing layer\uc744 \ud3ec\ud568\ud558\uace0 \uc788\uc5b4\uc11c \uadf8\ub0e5 \uc785\ub825\ud574\ub3c4 \uc798 \ub3d9\uc791\ud558\uae30\ub3c4 \ud55c\ub2e4. \ub610\ud55c \uc5b4\ub5a4 \ubaa8\ub378\uc740 \uc785\ub825\uac12\uc744 \uc815\uaddc\ud654 \ud574\uc11c \uc785\ub825\ud574 \uc8fc\uc5b4\uc57c\u2026","rel":"","context":"&quot;Programming&quot;\uc5d0\uc11c","block_context":{"text":"Programming","link":"https:\/\/litcoder.com\/?cat=5"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":358,"url":"https:\/\/litcoder.com\/?p=358","url_meta":{"origin":2406,"position":2},"title":"Android device\uc5d0 quake\ub97c \uc62c\ub824\ubcf4\ub2e4","author":"litcoder","date":"2012\ub144 8\uc6d4 15\uc77c","format":false,"excerpt":"Quake\ub294 id software\uc5d0\uc11c \uc18c\uc2a4\ub97c \uacf5\uac1c\ud55c \uac8c\uc784\uc73c\ub85c \uc548\ub4dc\ub85c\uc774\ub4dc external \ub514\ub809\ud1a0\ub9ac\uc5d0 \ud568\uaed8 \ub4e4\uc5b4\uac00 \uc788\ub2e4. Android\uc758 \ub2e4\ub978 module\ub4e4\uacfc \ub9c8\ucc2c\uac00\uc9c0\ub85c \ub514\ub809\ud1a0\ub9ac\uc5d0\uc11c mm command\ub85c \uac04\ub2e8\ud788 \ucef4\ud30c\uc77c \ud560 \uc218 \uc788\uc73c\uba70, \uacb0\uacfc\ubb3c\uc740 \ub2e4\uc74c \ub450\uac1c\uc758 \ud30c\uc77c\ub85c \uc0dd\uc131\ub41c\ub2e4. out\/target\/product\/PRODUCT\/system\/app\/Quake.apk out\/target\/product\/PRODUCT\/system\/lib\/libquake.so \ud558\uc9c0\ub9cc \uc774 \ud30c\uc77c\ub4e4\uc744 push \ud574\uc8fc\uace0 \uc2e4\ud589\ud574\ub3c4 pak0.pak\ub97c \ucc3e\uc9c0\ubabb\ud55c\ub2e4\uba74\uc11c \uba48\ucd94\ub294\ub370, pocket quake\uc5d0 \ud544\uc694\ud55c \ud30c\uc77c\uc778 \uac83\uac19\ub2e4. \uc790\uc138\ud55c \ub0b4\uc6a9\uc740 http:\/\/quake.pocketmatrix.com\/readme.php\uc5d0 \uc788\uc73c\uba70, pak0.pak\ub294\u2026","rel":"","context":"&quot;Android&quot;\uc5d0\uc11c","block_context":{"text":"Android","link":"https:\/\/litcoder.com\/?cat=2"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":1685,"url":"https:\/\/litcoder.com\/?p=1685","url_meta":{"origin":2406,"position":3},"title":"XPS13 \ubca0\ud130\ub9ac(Y9N00) \uad50\uccb4","author":"litcoder","date":"2017\ub144 9\uc6d4 21\uc77c","format":false,"excerpt":"2013\ub144\uc5d0 \uc0c0\ub358 XPS13(L233X)\uac00 \uc708\ub3c4\uc6b0\uc988 \ucd08\uae30\ud654 \uc774\ud6c4 \"Your battery has experienced permanent failure and needs to be replaced. Strike the F1 key to continue. F2 to run setup the utility.\" \uba54\uc138\uc9c0\uc640 \ud568\uaed8 \ubd80\ud305\ud558\uc9c0 \uc54a\ub294 \ubb38\uc81c\uac00 \uc0dd\uacbc\ub2e4. \uc774 \uba54\uc138\uc9c0\ub294 \ub9e4\ubc88 \ub098\uc624\ub294 \uac83\uc740 \uc544\ub2c8\uace0 \uc5b4\ub5a4 \ub54c\ub294 \uc544\ubb34 \uba54\uc138\uc9c0\ub3c4 \uc5c6\uc774 \ubd80\ud305\uc774 \uc548\ub418\uc5c8\uae30 \ub54c\ubb38\uc5d0 \uc2e4\uc81c\ub85c\u2026","rel":"","context":"&quot;Gadgets&quot;\uc5d0\uc11c","block_context":{"text":"Gadgets","link":"https:\/\/litcoder.com\/?cat=3"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/litcoder.com\/wp-content\/uploads\/2017\/09\/img_1504-e1505897730866-1024x768.jpg?resize=350%2C200&ssl=1","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/litcoder.com\/wp-content\/uploads\/2017\/09\/img_1504-e1505897730866-1024x768.jpg?resize=350%2C200&ssl=1 1x, https:\/\/i0.wp.com\/litcoder.com\/wp-content\/uploads\/2017\/09\/img_1504-e1505897730866-1024x768.jpg?resize=525%2C300&ssl=1 1.5x"},"classes":[]},{"id":3116,"url":"https:\/\/litcoder.com\/?p=3116","url_meta":{"origin":2406,"position":4},"title":"CARLA client\ub97c build\ud574\uc57c \ud558\ub294\ub370 clang-8\uc774 \uc5c6\ub304\ub2e4.","author":"litcoder","date":"2022\ub144 7\uc6d4 27\uc77c","format":false,"excerpt":"2022\ub144 9\uc6d4 \ud604\uc7ac CARLA simulator\uc758 \ucd5c\uc2e0 \ubc84\uc804\uc778 0.9.13\uc73c\ub85c PythonAPI\ub97c \ube4c\ub4dc\ud558\ub824\uace0 \ud558\uba74 clang-8 version\uc744 \uc694\uad6c\ud558\ub294\ub370 Ubuntu 22.04\uc5d0\uc11c\ub294 clang-8\uc758 repository\ub97c \ucd94\uac00\ud558\uace0 \uc124\uce58 \uc2dc\ub3c4\ud558\uba74 \ub2e4\uc74c\uacfc \uac19\uc774 \uc758\uc874\uc131 \uc624\ub958\uac00 \uc0dd\uae34\ub2e4. The following packages have unmet dependencies: clang-8 : Depends: libllvm8 (>= 1:8~svn298832-1~) but it is not going to be installed Depends: libstdc++-5-dev but it\u2026","rel":"","context":"&quot;Linux&quot;\uc5d0\uc11c","block_context":{"text":"Linux","link":"https:\/\/litcoder.com\/?cat=4"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":3208,"url":"https:\/\/litcoder.com\/?p=3208","url_meta":{"origin":2406,"position":5},"title":"C++ template \uc120\uc5b8\uacfc \uad6c\ud604\uc744 \uc11c\ub85c \ub2e4\ub978 \ud30c\uc77c\uc5d0 \ub098\ub20c \uc218 \uc5c6\ub2e4","author":"litcoder","date":"2023\ub144 3\uc6d4 6\uc77c","format":false,"excerpt":"\ucee4\uc2a4\ud140 Queue \ud074\ub798\uc2a4\ub97c \uc791\uc131\ud558\ub294\ub370 queue\uc758 item\uc740 \ucd94\ud6c4\uc5d0 \ubcc0\uacbd \ub420 \uc218 \uc788\uc73c\ubbc0\ub85c \ud15c\ud50c\ub9bf\uc73c\ub85c \uc791\uc131\ud558\uace0\uc790 \ud55c\ub2e4. Queue class\ub97c header\uc5d0 \uc815\uc758\ud558\uace0 \uad6c\ud604\uc744 cpp \ud30c\uc77c\uc5d0 \uc791\uc131\ud574 \uc900\ub2e4\uc74c main \ud568\uc218\uc5d0\uc11c \ub2e4\uc74c\uacfc \uac19\uc774 queue\ub97c \uc0dd\uc131\ud558\uace0 \ucef4\ud30c\uc77c\uc744 \uc2dc\ub3c4\ud55c\ub2e4. \ub2e4\uc74c\uc740 \ud574\ub2f9 template\uc744 \uc0ac\uc6a9\ud558\ub294 caller(main \ud568\uc218)\uc774\ub2e4. \/\/ \/\/ C++ template instantiation test. \/\/ \/\/ - litcoder #include <iostream> #include\u2026","rel":"","context":"&quot;Programming&quot;\uc5d0\uc11c","block_context":{"text":"Programming","link":"https:\/\/litcoder.com\/?cat=5"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]}],"jetpack_featured_media_url":"","_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}]}}