{"id":73824,"date":"2018-09-25T23:13:46","date_gmt":"2018-09-25T14:13:46","guid":{"rendered":"https:\/\/www.sejuku.net\/blog\/?p=73824"},"modified":"2024-05-06T11:52:11","modified_gmt":"2024-05-06T02:52:11","slug":"%e3%80%90numpy%e5%85%a5%e9%96%80%e3%80%91%e8%a1%8c%e5%88%97%e3%81%ae%e5%af%be%e8%a7%92%e8%a6%81%e7%b4%a0%e3%82%92%e5%8f%96%e3%82%8a%e5%87%ba%e3%81%97%e3%81%9f%e3%82%8a%e5%af%be%e8%a7%92%e8%a1%8c","status":"publish","type":"post","link":"https:\/\/www.sejuku.net\/blog\/73824","title":{"rendered":"\u3010NumPy\u5165\u9580\u3011\u884c\u5217\u306e\u5bfe\u89d2\u8981\u7d20\u3092\u53d6\u308a\u51fa\u3057\u305f\u308a\u5bfe\u89d2\u884c\u5217\u304c\u4f5c\u308c\u308bnp.diag"},"content":{"rendered":"<p>\u3053\u3093\u306b\u3061\u306f\uff01<a href=\"https:\/\/lp.sejuku.net\/lp1_blog_01\/?cid=ai_btn1_73824\">\u30a4\u30f3\u30b9\u30c8\u30e9\u30af\u30bf\u30fc\u306e\u30d5\u30af\u30ed\u30a6<\/a>\u3067\u3059\uff01<\/p>\n<p>\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001<span style=\"color: #0000ff;\"><strong>\u884c\u5217\u306e\u5bfe\u89d2\u8981\u7d20\u3092\u53d6\u308a\u51fa\u3057<\/strong><\/span>\u305f\u308a\u3001<span style=\"color: #0000ff;\"><strong>\u5bfe\u89d2\u884c\u5217\u3092\u4f5c\u3063\u305f\u308a<\/strong><\/span>\u3067\u304d\u308b<span style=\"color: #008000;\"><strong>np.diag\u95a2\u6570<\/strong><\/span>\u3092\u7d39\u4ecb\u3057\u307e\u3059\u3088\uff01<\/p>\n<ul>\n<li><span style=\"color: #008000;\"><strong>\u5bfe\u89d2\u8981\u7d20<\/strong><\/span>\u3063\u3066\u4f55\uff1f<\/li>\n<li><span style=\"color: #008000;\"><strong>\u5bfe\u89d2\u884c\u5217<\/strong><\/span>\u3063\u3066\u4f55\uff1f<\/li>\n<li><span style=\"color: #008000;\"><strong>np.diag\u95a2\u6570<\/strong><\/span>\u3063\u3066\u3069\u3046\u3084\u3063\u3066\u4f7f\u3046\u306e\uff1f<\/li>\n<\/ul>\n<p>\u3063\u3066\u601d\u3063\u305f\u65b9\u306f\u5fc5\u898b\u3067\u3059\uff01\u3053\u306e\u8a18\u4e8b\u3092\u8aad\u3081\u3070<\/p>\n<ul>\n<li><strong><span style=\"color: #008000;\">\u5bfe\u89d2\u8981\u7d20<\/span><\/strong>\u3068\u306f<\/li>\n<li><span style=\"color: #008000;\"><strong>\u5bfe\u89d2\u884c\u5217<\/strong><\/span>\u3068\u306f<\/li>\n<li><span style=\"color: #008000;\"><strong>np.diag<\/strong><\/span>\u306e\u4f7f\u3044\u65b9<\/li>\n<li>\u6a5f\u68b0\u5b66\u7fd2\u3067\u306f\u3069\u3046\u4f7f\u308f\u308c\u308b\u306e\u304b<\/li>\n<\/ul>\n<p>\u306a\u3069\u304c\u308f\u304b\u308a\u307e\u3059\u3088\uff01<\/p>\n<p>\u4f7f\u3044\u65b9\u306f\u7c21\u5358\uff01\u3053\u306e\u6a5f\u4f1a\u306b\u899a\u3048\u3061\u3083\u3044\u307e\u3057\u3087\u3046\uff01<\/p>\n<h2>\u5bfe\u89d2\u8981\u7d20\u3092\u53d6\u308a\u51fa\u3059\u65b9\u6cd5<\/h2>\n<h3>\u305d\u3082\u305d\u3082\u5bfe\u89d2\u8981\u7d20\u3063\u3066\u4f55\uff1f<\/h3>\n<p><span style=\"color: #0000ff;\"><strong>\u884c\u5217\u306e\u5bfe\u89d2\u8981\u7d20\u3063\u3066\u4f55\uff1f<\/strong><\/span>\u3063\u3066\u601d\u3063\u305f\u65b9\uff01<\/p>\n<p>\u4f8b\u3048\u3070<strong><span style=\"background-color: #ffff00;\">1~16\u306e\u8981\u7d20\u304c\u5165\u3063\u305f4&#215;4\u884c\u5217a<\/span><\/strong>\u3092\u60f3\u50cf\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n<p>\u3053\u306e<span style=\"background-color: #00ff00;\"><strong>a\u306e\u4e3b\u5bfe\u89d2\u8981\u7d20<\/strong><\/span>\u306f\u3001\u4e0b\u306e\u56f3\u306e\u7dd1\u8272\u306e\u8981\u7d20\u306e\u3053\u3068\u3067\u3059\uff01<\/p>\n<p><img decoding=\"async\" class=\"aligncenter size-large wp-image-73852\" src=\"https:\/\/www.sejuku.net\/blog\/wp-content\/uploads\/2018\/09\/diag1-640x222.png\" alt=\"\" width=\"640\" height=\"222\" srcset=\"https:\/\/www.sejuku.net\/blog\/wp-content\/uploads\/2018\/09\/diag1-640x222.png 640w, https:\/\/www.sejuku.net\/blog\/wp-content\/uploads\/2018\/09\/diag1-150x52.png 150w, https:\/\/www.sejuku.net\/blog\/wp-content\/uploads\/2018\/09\/diag1-300x104.png 300w, https:\/\/www.sejuku.net\/blog\/wp-content\/uploads\/2018\/09\/diag1-810x281.png 810w, https:\/\/www.sejuku.net\/blog\/wp-content\/uploads\/2018\/09\/diag1.png 1044w\" sizes=\"(max-width: 640px) 100vw, 640px\" \/><\/p>\n<h3>np.diag\u3067\u5bfe\u89d2\u8981\u7d20\u3092\u5f97\u308b<\/h3>\n<p>\u305d\u3057\u3066\u3053\u308c\u3092NumPy\u306e\u95a2\u6570\u3067\u8a08\u7b97\u3059\u308b\u306b\u306f\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b<span style=\"color: #008000;\"><strong>\u300cnp.diag\u300d<\/strong><\/span>\u3092\u4f7f\u3044\u307e\u3059\uff01<\/p>\n<p>\u203b\u3053\u308c\u4ee5\u964d\u3001<span style=\"color: #008000;\"><strong>IPython<\/strong><\/span>\u3092\u4f7f\u3063\u3066\u30d7\u30ed\u30b0\u30e9\u30e0\u3092\u5b9f\u884c\u3057\u3066\u3044\u304d\u307e\u3059\u3088\uff01<\/p>\n<pre class=\"lang:python decode:true\">Python 3.7.0 (default, Jun 28 2018, 13:15:42)\nType 'copyright', 'credits' or 'license' for more information\nIPython 6.5.0 -- An enhanced Interactive Python. Type '?' for help.\n\nIn [1]: import numpy as np\n\nIn [2]: a = np.arange(1,17).reshape((4,4))\n\nIn [3]: a\nOut[3]:\narray([[ 1,  2,  3,  4],\n       [ 5,  6,  7,  8],\n       [ 9, 10, 11, 12],\n       [13, 14, 15, 16]])\n\nIn [4]: np.diag(a)\nOut[4]: array([ 1,  6, 11, 16])\n\nIn [5]: np.diag(a, k=0) # = np.diag(a)\nOut[5]: array([ 1,  6, 11, 16])\n<\/pre>\n<p>\u3053\u3053\u3067\u3001<span style=\"color: #0000ff;\"><strong>k=0\u3068\u3044\u3046\u30d1\u30e9\u30e1\u30fc\u30bf<\/strong><\/span>\u304c\u3042\u308a\u307e\u3059\u306d\u3002<\/p>\n<p>\u3053\u308c\u306f<span style=\"color: #0000ff;\"><strong>\u4e3b\u5bfe\u89d2\u8981\u7d20\u3092\u6307\u5b9a<\/strong><\/span>\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n<h3>k\u30d1\u30e9\u30e1\u30fc\u30bf\u3092\u64cd\u4f5c\u3059\u308b\u3068\u3069\u3046\u306a\u308b\uff1f<\/h3>\n<p>np.diag\u95a2\u6570\u306ek\u306e\u5024\u3092\u5909\u3048\u308b\u3068\u3001<span style=\"color: #0000ff;\"><strong>\u6b63\u306e\u5024\u306a\u3089\u3070\u53f3\u4e0a<\/strong><\/span>\u3001<strong><span style=\"color: #0000ff;\">\u8ca0\u306e\u5024\u306a\u3089\u3070\u5de6\u4e0b<\/span><\/strong>\u306e<span style=\"color: #0000ff;\"><strong>\u5bfe\u89d2\u8981\u7d20\u3092\u53d6\u308a\u51fa\u3057\u307e\u3059<\/strong><\/span>\u3002<\/p>\n<p><img decoding=\"async\" class=\"aligncenter size-large wp-image-73853\" src=\"https:\/\/www.sejuku.net\/blog\/wp-content\/uploads\/2018\/09\/diag2-640x344.png\" alt=\"\" width=\"640\" height=\"344\" srcset=\"https:\/\/www.sejuku.net\/blog\/wp-content\/uploads\/2018\/09\/diag2-640x344.png 640w, https:\/\/www.sejuku.net\/blog\/wp-content\/uploads\/2018\/09\/diag2-150x81.png 150w, https:\/\/www.sejuku.net\/blog\/wp-content\/uploads\/2018\/09\/diag2-300x161.png 300w, https:\/\/www.sejuku.net\/blog\/wp-content\/uploads\/2018\/09\/diag2-810x436.png 810w, https:\/\/www.sejuku.net\/blog\/wp-content\/uploads\/2018\/09\/diag2.png 1056w\" sizes=\"(max-width: 640px) 100vw, 640px\" \/><\/p>\n<pre class=\"lang:python decode:true\">In [6]: np.diag(a, k=1)\nOut[6]: array([ 2,  7, 12])\n\nIn [7]: np.diag(a, k=2)\nOut[7]: array([3, 8])\n\nIn [8]: np.diag(a, k=3)\nOut[8]: array([4])\n\nIn [9]: np.diag(a, k=-1)\nOut[9]: array([ 5, 10, 15])\n\nIn [10]: np.diag(a, k=-2)\nOut[10]: array([ 9, 14])\n\nIn [11]: np.diag(a, k=-3)\nOut[11]: array([13])\n<\/pre>\n<p>\u3061\u306a\u307f\u306b\u3053\u306e\u95a2\u6570\u306f\u3001\u30e1\u30bd\u30c3\u30c9\u3068\u3057\u3066\u3082\u63d0\u4f9b\u3055\u308c\u3066\u3044\u307e\u3059\u3002<\/p>\n<pre class=\"lang:default decode:true\">In [12]: a.diagonal()\nOut[12]: array([ 1,  6, 11, 16])\n<\/pre>\n<h2>\u5bfe\u89d2\u884c\u5217\u3092\u4f5c\u308b\u65b9\u6cd5<\/h2>\n<h3>\u5bfe\u89d2\u884c\u5217\u3063\u3066\u4f55\uff1f<\/h3>\n<p><span style=\"color: #0000ff;\"><strong>\u5bfe\u89d2<span style=\"color: #0000ff;\">\u884c\u5217<\/span>\u3068\u306f\u3001<span style=\"color: #0000ff;\">\u5bfe\u89d2\u8981\u7d20\u4ee5<\/span>\u5916\u306f0\u3067\u57cb\u3081\u3089\u308c\u305f\u884c\u5217<\/strong><\/span>\u3067\u3059\u3002<\/p>\n<p>\u3053\u308c\u306b\u307e\u3064\u308f\u308b\u3082\u3063\u3068\u6df1\u3044\u8a71\u304c\u77e5\u308a\u305f\u3044\u5834\u5408\u306f\u3001\u4ee5\u4e0b\u306e\u89e3\u8aac\u8a18\u4e8b\u304c\u8aad\u307f\u3084\u3059\u3044\u3067\u3059\u3088\u3002<\/p>\n<p>https:\/\/mathwords.net\/taikakugyoretu<\/p>\n<h3>np.diag\u3092\u4f7f\u3063\u305f\u5bfe\u89d2\u884c\u5217\u306e\u4f5c\u308a\u65b9<\/h3>\n<p><span style=\"color: #0000ff;\"><strong>np.diag\u306b<\/strong><strong><span style=\"color: #0000ff;\">\u30d9\u30af\u30c8\u30eb<\/span>\u3092\u6e21\u3059\u3068\u5bfe\u89d2\u884c\u5217\u3092\u4f5c\u3063\u3066\u304f\u308c<\/strong><\/span>\u307e\u3059\u3002<\/p>\n<p>\u8a66\u3057\u3066\u307f\u307e\u3057\u3087\u3046\uff01<\/p>\n<pre class=\"lang:default decode:true\">In [13]: b = np.array([1,2,3,4])\n\nIn [14]: np.diag(b)\nOut[14]:\narray([[1, 0, 0, 0],\n       [0, 2, 0, 0],\n       [0, 0, 3, 0],\n       [0, 0, 0, 4]])\n\n<\/pre>\n<p>[1,2,3,4]\u3068\u3044\u3046\u30d9\u30af\u30c8\u30eb\u306e\u8981\u7d20\u6570\u306b\u5408\u308f\u305b\u305f\u5bfe\u89d2\u884c\u5217\u304c\u3067\u304d\u3066\u3044\u307e\u3059\u306d\uff01<\/p>\n<h3>k\u30d1\u30e9\u30e1\u30fc\u30bf\u3092\u64cd\u4f5c\u3059\u308b\u3068\u3069\u3046\u306a\u308b\uff1f<\/h3>\n<p>\u5bfe\u89d2\u884c\u5217\u3092\u4f5c\u308b\u3068\u304d\u3082\u3001k\u30d1\u30e9\u30e1\u30fc\u30bf\u3092\u64cd\u4f5c\u3059\u308b\u3053\u3068\u3067\u3001\u4e0e\u3048\u305f<span style=\"color: #0000ff;\"><strong>\u30d9\u30af\u30c8\u30eb\u304c\u3069\u3053\u306e\u5bfe\u89d2\u8981\u7d20\u306a\u306e\u304b\u3092\u6307\u5b9a<\/strong><\/span>\u3067\u304d\u307e\u3059\u3088\uff01<\/p>\n<pre class=\"lang:python decode:true\">In [15]: np.diag(b, k=0)\nOut[15]:\narray([[1, 0, 0, 0],\n       [0, 2, 0, 0],\n       [0, 0, 3, 0],\n       [0, 0, 0, 4]])\n\nIn [16]: np.diag(b, k=1)\nOut[16]:\narray([[0, 1, 0, 0, 0],\n       [0, 0, 2, 0, 0],\n       [0, 0, 0, 3, 0],\n       [0, 0, 0, 0, 4],\n       [0, 0, 0, 0, 0]])\n\nIn [17]: np.diag(b, k=2)\nOut[17]:\narray([[0, 0, 1, 0, 0, 0],\n       [0, 0, 0, 2, 0, 0],\n       [0, 0, 0, 0, 3, 0],\n       [0, 0, 0, 0, 0, 4],\n       [0, 0, 0, 0, 0, 0],\n       [0, 0, 0, 0, 0, 0]])\n\nIn [18]: np.diag(b, k=3)\nOut[18]:\narray([[0, 0, 0, 1, 0, 0, 0],\n       [0, 0, 0, 0, 2, 0, 0],\n       [0, 0, 0, 0, 0, 3, 0],\n       [0, 0, 0, 0, 0, 0, 4],\n       [0, 0, 0, 0, 0, 0, 0],\n       [0, 0, 0, 0, 0, 0, 0],\n       [0, 0, 0, 0, 0, 0, 0]])\n\nIn [19]: np.diag(b, k=-1)\nOut[19]:\narray([[0, 0, 0, 0, 0],\n       [1, 0, 0, 0, 0],\n       [0, 2, 0, 0, 0],\n       [0, 0, 3, 0, 0],\n       [0, 0, 0, 4, 0]])\n\nIn [20]: np.diag(b, k=-2)\nOut[20]:\narray([[0, 0, 0, 0, 0, 0],\n       [0, 0, 0, 0, 0, 0],\n       [1, 0, 0, 0, 0, 0],\n       [0, 2, 0, 0, 0, 0],\n       [0, 0, 3, 0, 0, 0],\n       [0, 0, 0, 4, 0, 0]])\n\nIn [21]: np.diag(b, k=-3)\nOut[21]:\narray([[0, 0, 0, 0, 0, 0, 0],\n       [0, 0, 0, 0, 0, 0, 0],\n       [0, 0, 0, 0, 0, 0, 0],\n       [1, 0, 0, 0, 0, 0, 0],\n       [0, 2, 0, 0, 0, 0, 0],\n       [0, 0, 3, 0, 0, 0, 0],\n       [0, 0, 0, 4, 0, 0, 0]])<\/pre>\n<h2>\u6a5f\u68b0\u5b66\u7fd2\u3067\u306f\u3069\u3053\u3067\u4f7f\u3046\u306e\uff1f<\/h2>\n<p>\u5bfe\u89d2\u884c\u5217\u3084\u5bfe\u89d2\u8981\u7d20\u3068\u3044\u3046\u8a00\u8449\u306f<span style=\"color: #008000;\"><strong>\u7dda\u5f62\u4ee3\u6570<\/strong><\/span>\u306e\u8a00\u8449\u3067\u3059\u3002<\/p>\n<p><span style=\"color: #008000;\"><strong>scikit-learn<\/strong><\/span>\u306a\u3069\u3067<span style=\"color: #008000;\"><strong>PCA\uff08\u4e3b\u6210\u5206\u5206\u6790\uff09<\/strong><\/span>\u3092\u3084\u3063\u305f\u3053\u3068\u304c\u3042\u308b\u4eba\u306a\u3089\u3001<span style=\"color: #008000;\"><strong>\u5bfe\u89d2\u5316<\/strong><\/span>\u3068\u3044\u3046\u8a00\u8449\u3092\u805e\u3044\u305f\u3053\u3068\u304c\u3042\u308b\u304b\u3082\u3057\u308c\u307e\u305b\u3093\u3002<\/p>\n<p>PCA\u306a\u3069\u306e<span style=\"color: #008000;\"><strong>\u6b21\u5143\u5727\u7e2e\u624b\u6cd5<\/strong><\/span>\u3067\u8fd1\u3044\u64cd\u4f5c\u304c\u983b\u51fa\u3059\u308b\u306e\u3067\u3001np.diag\u306b\u9650\u3089\u305a<span style=\"color: #0000ff;\"><strong>\u884c\u5217\u3092\u64cd\u4f5c\u3059\u308b\u95a2\u6570\u306f\u899a\u3048\u3066\u304a\u304f\u3068\u6a5f\u68b0\u5b66\u7fd2\u306e\u7406\u8ad6\u3092\u5b66\u3076\u3068\u304d\u306b\u5f79\u7acb\u3061<\/strong><\/span>\u307e\u3059\u3088\uff01<\/p>\n<h2>\u307e\u3068\u3081<\/h2>\n<p>\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001<span style=\"color: #0000ff;\"><strong>\u884c\u5217\u306e\u5bfe\u89d2\u8981\u7d20\u3092\u53d6\u308a\u51fa\u3057\u305f\u308a\u3001\u5bfe\u89d2\u884c\u5217\u3092\u4f5c\u3063\u305f\u308a\u3067\u304d\u308b\u95a2\u6570\u300cnp.diag\u300d\u3092\u7d39\u4ecb<\/strong><\/span>\u3057\u307e\u3057\u305f\u3002<\/p>\n<p>\u7dda\u5f62\u4ee3\u6570\u7684\u306a\u64cd\u4f5c\u306f\u6a5f\u68b0\u5b66\u7fd2\u3092\u5b66\u3076\u4e0a\u3067\u907f\u3051\u3066\u306f\u901a\u308c\u306a\u3044\u57fa\u672c\u6280\u8853\u3067\u3059\u3002<\/p>\n<p>\u3053\u306e\u3088\u3046\u306a\u57fa\u672c\u7684\u306a\u64cd\u4f5c\u304b\u3089\u5b66\u3093\u3067\u3044\u3063\u3066\u3001\u305f\u3060\u6a5f\u68b0\u5b66\u7fd2\u30e9\u30a4\u30d6\u30e9\u30ea\u3092\u4f7f\u3046\u3060\u3051\u3058\u3083\u306a\u3044\u3057\u3063\u304b\u308a\u3068\u3057\u305f\u7406\u89e3\u304c\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u3087\u3046\u306d\uff01<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u3053\u3093\u306b\u3061\u306f\uff01\u30a4\u30f3\u30b9\u30c8\u30e9\u30af\u30bf\u30fc\u306e\u30d5\u30af\u30ed\u30a6\u3067\u3059\uff01 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