![](\"\/wp-content\/uploads\/2026\/04\/image-20260319171223705.png\")
<\/div><\/p>\nFirst Conv\u4e3a\u7b2c\u4e00\u5c42\uff0c\u4f9d\u6b21\u5411\u540e\u5ef6<\/p>\n
\u6240\u6709\u5c42\u7684\u5377\u79ef\u6838\u5927\u5c0f $k = 3$\uff0c\u6b65\u957f $s = 1$\u3002<\/p>\n
\u7b2c\u4e00\u5c42\u7684\u611f\u53d7\u91ce $RF_1 = k $\uff08\u5377\u79ef\u6838\u5927\u5c0f\uff09\uff1b<\/p>\n
\u901a\u8fc7\u516c\u5f0f\u8ba1\u7b97\u7b2c\u4e8c\u5c42$$RF_2 = 3 + (3 – 1) \\times 1 = 5$$\uff0c\u7b2c\u4e8c\u5c42\u5377\u79ef\u540e\u7684\u611f\u53d7\u91ce\u662f $5 \\times 5$\uff1b<\/p>\n
\u63a5\u7740\u8ba1\u7b97\u7b2c\u4e09\u5c42$$RF_3 = 5 + (3 – 1) \\times (1 \\times 1) = 7$$\uff0c\u7b2c\u4e09\u5c42\u5377\u79ef\u540e\u7684\u611f\u53d7\u91ce\u6700\u7ec8\u4e3a $7 \\times 7$\u3002<\/p>\n
#### \u5faa\u73af\u795e\u7ecf\u7f51\u7edc\uff08RNN\uff0cLSTM\uff09<\/p>\n
\u5728\u5377\u79ef\u795e\u7ecf\u7f51\u7edc\uff08CNN\uff09\u4e2d\uff0c\u6bcf\u4e00\u6b21\u4fe1\u606f\u5904\u7406\u90fd\u662f\u72ec\u7acb\u7684\uff1b\u4f46\u5728 RNN \u4e2d\uff0c\u6a21\u578b\u4f1a\u201c\u8bb0\u4f4f\u201d\u4e4b\u524d\u7684\u4fe1\u606f\uff0c\u8fd9\u5bf9\u4e8e\u5904\u7406\u5e8f\u5217\u6570\u636e\u975e\u5e38\u6709\u4f18\u52bf\u3002RNN\u7684\u5f31\u70b9\u662f\u5f53\u5e8f\u5217\u975e\u5e38\u957f\u65f6\uff0c\u7531\u4e8e\u5728\u53cd\u5411\u4f20\u64ad\u8fc7\u7a0b\u4e2d\u68af\u5ea6\u88ab\u8fde\u4e58\u4e86\u592a\u591a\u6b21\uff0c\u4f20\u5230\u524d\u9762\u7684\u5c42\u65f6\u5df2\u7ecf\u8d8b\u8fd1\u4e8e 0\u3002\u6bd4\u5982\u4e00\u672c\u4e66RNN \u5f80\u5f80\u53ea\u80fd\u8bb0\u4f4f\u6700\u8fd1\u7684\u51e0\u4e2a\u8bcd\uff0c\u800c\u5fd8\u4e86\u6587\u7ae0\u5f00\u5934\u8bb2\u4e86\u4ec0\u4e48\u3002<\/p>\n
LSTM\u5728RNN\u7684\u57fa\u7840\u4e0a\u8fdb\u884c\u6539\u8fdb\uff0cLSTM\u901a\u8fc7\u63a7\u5236\u53c2\u6570\uff0c\u51b3\u5b9a\u4ec0\u4e48\u6837\u7684\u4fe1\u606f\u4f1a\u88ab\u4fdd\u7559\u4ec0\u4e48\u6837\u7684\u4f1a\u88ab\u9057\u5fd8\uff0c\u53ea\u8bb0\u5fc6\u91cd\u8981\u4fe1\u606f\u3002<\/p>\n
##### RNN<\/p>\n
[\u70b9\u51fb\u67e5\u770b\u8bfe\u7a0b\u94fe\u63a5](https:\/\/www.bilibili.com\/video\/BV1e5411K7oW?spm_id_from=333.788.videopod.episodes&vd_source=3ce9ddb6c893b26bce162a1a0b30e8c5&p=2)<\/p>\n
{.aligncenter}
\n\u56fe\u4e0a\u662f\u4e00\u4e2a\u591a\u8f93\u5165\u591a\u8f93\u51fa\u6a21\u578b\u4e2d\u7684\u4e00\u4e2a\u5355\u5143\u3002$x^{\\langle t \\rangle}$\u4e3a\u4e00\u4e2a\u8f93\u5165\uff0c$\\hat{y}^{\\langle t \\rangle}$\u4e3a\u4e00\u4e2a\u8f93\u51fa\u3002<\/p>\n
$a^{\\langle t-1 \\rangle}$\u4ee3\u8868\u4e0a\u4e00\u4e2a\u72b6\u6001<\/p>\n
$a^{\\langle t \\rangle}$\u4ee3\u8868\u5f53\u524d\u7684\u8f93\u51fa\u72b6\u6001\uff0c\u4f1a\u4f20\u7ed9\u4e0b\u4e00\u4e2a\u5355\u5143\u3002<\/p>\n
W\u662f\u6743\u91cd\u53c2\u6570\uff0ctanh\u662f\u6fc0\u6d3b\u51fd\u6570\uff0cb\u4e3a\u504f\u7f6e\u9879\u3002<\/p>\n
###### \u7279\u70b9<\/p>\n
1.\u4e32\u8054\u7ed3\u6784\uff1a\u4f53\u73b0\u51fa\u201c\u524d\u56e0\u540e\u679c\u201d\uff0c\u540e\u9762\u7ed3\u679c\u7684\u751f\u6210\uff0c\u8981\u53c2\u8003\u524d\u9762\u7684\u4fe1\u606f\u3002<\/p>\n
2.\u6240\u6709\u7279\u5f81\u5171\u4eab\u540c\u4e00\u5957\u53c2\u6570\u3002<\/p>\n
###### \u635f\u5931\u51fd\u6570<\/p>\n
\u6574\u4e2a\u5e8f\u5217\u7684\u635f\u5931\u51fd\u6570=\u5355\u4e2a\u65f6\u95f4\u6b65\u7684\u635f\u5931\u51fd\u6570\u52a0\u8d77\u6765<\/p>\n
###### \u53cd\u5411\u4f20\u64ad<\/p>\n
\u524d\u9762\u7684BP\u7b97\u6cd5<\/p>\n
###### RNN\u7684\u68af\u5ea6\u6d88\u5931\u548c\u68af\u5ea6\u7206\u70b8<\/p>\n
\u68af\u5ea6\u6d88\u5931\uff1a\u53c2\u6570\u66f4\u65b0\u53ea\u80fd\u6355\u6349\u5230\u5c40\u90e8\u4f9d\u8d56\u5173\u7cfb\uff0c\u6ca1\u6cd5\u518d\u6355\u6349\u5e8f\u5217\u4e4b\u95f4\u7684\u957f\u671f\u5173\u8054\u6216\u8005\u4f9d\u8d56\u5173\u7cfb<\/p>\n
\u7f51\u683c\u53c2\u6570\u68af\u5ea6\u63a8\u5bfc\uff1a<\/p>\n
![](\"\/wp-content\/uploads\/2026\/04\/image-20260320121209631-1773981959999-5.png\")
<\/div><\/p>\n$$S_1 = \\tanh(W_x X_1 + W_s S_0 + b_1)$$<\/p>\n
$$S_2 = \\tanh(W_x X_2 + W_s S_1 + b_1)$$<\/p>\n
$$S_3 = \\tanh(W_x X_3 + W_s S_2 + b_1)$$<\/p>\n
$$O_1 = W_o S_1 + b_2$$<\/p>\n
$$O_2 = W_o S_2 + b_2$$<\/p>\n
$$O_3 = W_o S_3 + b_2$$<\/p>\n
W\u8f83\u5c0f\u65f6\uff080-1\uff09\uff0c\u7ecf\u8fc7\u591a\u6b21\u8fde\u4e58\uff0c\u4f1a\u5bfc\u81f4\u68af\u5ea6\u6d88\u5931\u3002<\/p>\n
W\u8f83\u5927\u65f6\uff0c\u7ecf\u8fc7\u591a\u6b21\u8fde\u4e58\uff0c\u4f1a\u5bfc\u81f4\u68af\u5ea6\u7206\u70b8\u3002<\/p>\n
##### LSTM<\/p>\n
[\u70b9\u51fb\u67e5\u770b\u8bfe\u7a0b\u94fe\u63a5](https:\/\/www.bilibili.com\/video\/BV1qM4y1M7Nv\/?spm_id_from=333.337.search-card.all.click&vd_source=3ce9ddb6c893b26bce162a1a0b30e8c5)<\/p>\n
{.alignnone}<\/p>\n
—<\/p>\n
###### \u5404\u4e2a\u5355\u5143\u6240\u8d77\u5230\u7684\u4f5c\u7528\uff1a<\/p>\n
**$X_t$ **\uff1a\u5f53\u524d\u8f93\u5165<\/p>\n
**$C_{t-1}$ **\uff1a\u4e0a\u4e00\u5c42\u7ec6\u80de\u72b6\u6001\u3002<\/p>\n
**$h_{t-1}$ **\uff1a\u4e0a\u4e00\u5c42\u9690\u85cf\u72b6\u6001\u3002<\/p>\n
**$\\sigma$**\uff1a\u95e8\u5355\u5143\uff0c\u8f93\u51fa $0 \\sim 1$ \u7684\u6982\u7387\uff0c\u51b3\u5b9a\u4fe1\u606f\u901a\u8fc7\u591a\u5c11\uff080 \u4e22\u5f03\uff0c1 \u4fdd\u7559\uff09\u3002<\/p>\n
$f_{t}$\uff1a\u9057\u5fd8\u95e8\uff0c\u4e22\u5f03$C_{t-1}$\u4e2d\u65e0\u7528\u7684\u4fe1\u606f\u3002$f_t$\u662f\u7531 0 or 1 \u6784\u6210\u7684\u5411\u91cf\uff0c\u901a\u8fc7\u4e0e$f_t$\u76f8\u4e58\u5373\u53ef\u5b9e\u73b0\u5bf9\u65e0\u7528\u4fe1\u606f\u7684\u4e22\u5f03\u3002<\/p>\n
$g_t$\uff1a\u5019\u9009\u8bb0\u5fc6 \uff0c\u901a\u8fc7 tanh \u6fc0\u6d3b\uff0c\u4ea7\u751f\u5f85\u5199\u5165\u7ec6\u80de\u72b6\u6001\u7684\u5019\u9009\u503c\uff0c\u7ecf\u8fc7 $i_t $ \u7b5b\u9009\u540e\u5199\u5165 $c_t$\u3002<\/p>\n
$i_{t}$\uff1a\u66f4\u65b0\u95e8\uff0c\u4f5c\u7528\u7684\u5bf9\u8c61\u662f$g_t$\uff0c\u5c06$g_t$\u4e2d\u65e0\u7528\u7684\u4fe1\u606f\u8fc7\u6ee4\u6389\u3002<\/p>\n
$o_{t}$\uff1a\u8f93\u51fa\u95e8\uff0c$C_t$\u8f93\u5165tanh\u4e2d\uff0c\u7ecftanh\u6fc0\u6d3b\u3002$o_t$\u51b3\u5b9a\u5f53\u524d\u7684 $C_t$ \u6709\u591a\u5c11\u5185\u5bb9\u8981\u5c55\u793a\u7ed9 $h_t$<\/p>\n
**$h_t$**\uff1a\u5f53\u524d\u65f6\u523b\u7684\u8f93\u51fa<\/p>\n
###### \u524d\u5411\u4f20\u64ad\u8fc7\u7a0b\u516c\u5f0f\uff1a<\/p>\n
1.$f_t = \\sigma(\\tilde{f}_t) = \\sigma(W_{xf}x_t + W_{hf}h_{t-1} + b_f)$ \/\/W\u4e3a\u6743\u91cd\u503c<\/p>\n
2.$g_t = \\tanh(\\tilde{g}_t) = \\tanh(W_{xg}x_t + W_{hg}h_{t-1} + b_g)$ \/\/$g_t$\u56fe\u4e2d\u672a\u6807\u6ce8<\/p>\n
3.$i_t = \\sigma(\\tilde{i}_t) = \\sigma(W_{xi}x_t + W_{hi}h_{t-1} + b_i)$<\/p>\n
4.$c_t = c_{t-1} \\odot f_t + g_t \\odot i_t$ \/\/$\\odot$\uff1a\u9010\u5143\u7d20\u76f8\u4e58<\/p>\n
5.$o_t = \\sigma(\\tilde{o}_t) = \\sigma(W_{xo}x_t + W_{ho}h_{t-1} + b_o)$<\/p>\n
6.$m_t = \\tanh(c_t)$ \/\/$c_t$\u7ecf4\u751f\u6210<\/p>\n
7.$h_t = o_t \\odot m_t$<\/p>\n
8.$y_t = W_{yh}h_t + b_y$<\/p>\n
—<\/p>\n","protected":false},"excerpt":{"rendered":"
\u795e\u7ecf\u7f51\u7edc\u3001CNN\u3001RNN\u3001LSTM<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2],"tags":[],"class_list":["post-58","post","type-post","status-publish","format-standard","hentry","category-2"],"_links":{"self":[{"href":"http:\/\/zyf.js.cn\/index.php\/wp-json\/wp\/v2\/posts\/58","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/zyf.js.cn\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/zyf.js.cn\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/zyf.js.cn\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/zyf.js.cn\/index.php\/wp-json\/wp\/v2\/comments?post=58"}],"version-history":[{"count":8,"href":"http:\/\/zyf.js.cn\/index.php\/wp-json\/wp\/v2\/posts\/58\/revisions"}],"predecessor-version":[{"id":74,"href":"http:\/\/zyf.js.cn\/index.php\/wp-json\/wp\/v2\/posts\/58\/revisions\/74"}],"wp:attachment":[{"href":"http:\/\/zyf.js.cn\/index.php\/wp-json\/wp\/v2\/media?parent=58"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/zyf.js.cn\/index.php\/wp-json\/wp\/v2\/categories?post=58"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/zyf.js.cn\/index.php\/wp-json\/wp\/v2\/tags?post=58"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}