{"id":70,"date":"2023-06-12T16:10:51","date_gmt":"2023-06-12T07:10:51","guid":{"rendered":"https:\/\/www.me.inf.kyushu-u.ac.jp\/jitsumatsu\/?page_id=70"},"modified":"2023-08-09T15:05:59","modified_gmt":"2023-08-09T06:05:59","slug":"research-theme","status":"publish","type":"page","link":"https:\/\/www.me.inf.kyushu-u.ac.jp\/jitsumatsu\/research-theme\/","title":{"rendered":"\u7814\u7a76\u30c6\u30fc\u30de"},"content":{"rendered":"\n

1) Arimoto-Blahut\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u62e1\u5f35<\/h2>\n\n\n\n

\u60c5\u5831\u7406\u8ad6\u306b\u304a\u3051\u308b\u69d8\u3005\u306a\u7b26\u53f7\u5316\u554f\u984c\u306e\u9650\u754c\u3092\u8868\u73fe\u3059\u308b\u91cf\u306f\uff0c\u591a\u304f\u306e\u5834\u5408\u6700\u9069\u5316\u554f\u984c\u306e\u89e3\u306e\u5f62\u3067\u8868\u73fe\u3055\u308c\u307e\u3059\uff0e\u6709\u672c\u30d6\u30e9\u30cf\u30c3\u30c8\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306f\uff0c\u96e2\u6563\u7121\u8a18\u61b6\u901a\u4fe1\u8def\u306e\u901a\u4fe1\u8def\u5bb9\u91cf\u3068\u96e2\u6563\u7121\u8a18\u61b6\u60c5\u5831\u6e90\u306e\u30ec\u30fc\u30c8\u6b6a\u307f\u95a2\u6570\u3092\u9054\u6210\u3059\u308b\u78ba\u7387\u5206\u5e03\u3092\u6c42\u3081\u308b\u53cd\u5fa9\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3067\u3042\u308a\uff0c\u6700\u9069\u5024\u3078\u306e\u53ce\u675f\u304c\u4fdd\u8a3c\u3055\u308c\u3066\u3044\u307e\u3059\uff0e\u6700\u8fd1\u306e\u60c5\u5831\u7406\u8ad6\u306e\u9650\u754c\u3092\u8868\u73fe\u3059\u308b\u91cf\u3082\u8a08\u7b97\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3092\u5fc5\u8981\u3068\u3057\u3066\u3044\u307e\u3059\uff0e\u6211\u3005\u306f\uff0c\u305d\u306e\u3088\u3046\u306a\u6700\u65b0\u306e\u6709\u672c\u30d6\u30e9\u30cf\u30c3\u30c8\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u62e1\u5f35\u3092\u7814\u7a76\u3057\u3066\u3044\u307e\u3059\uff0e<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

2) \u30ac\u30dc\u30fc\u30eb\u5206\u5272\u591a\u91cd\u4fe1\u53f7\u306b\u3088\u308b\u30ec\u30fc\u30c0\u3068\u60c5\u5831\u901a\u4fe1<\/h2>\n\n\n\n

\u9ad8\u901f\u79fb\u52d5\u3059\u308b\u81ea\u52d5\u8eca\uff0c\u4f4e\u8ecc\u9053\u885b\u661f\u3068\u306e\u901a\u4fe1\uff0c\u6c34\u4e2d\u97f3\u97ff\u901a\u4fe1\u306a\u3069\u5927\u304d\u306a\u30c9\u30c3\u30d7\u30e9\u30fc\u5468\u6ce2\u6570\u63a8\u79fb\u3092\u4f34\u3046\u3088\u3046\u306a\u901a\u4fe1\u3067\uff0c\u4fe1\u983c\u6027\u306e\u9ad8\u3044\u60c5\u5831\u901a\u4fe1\u3092\u5b9f\u73fe\u3059\u308b\u3053\u3068\u3092\u76ee\u7684\u3068\u3057\u3066\uff0c\u79c1\u305f\u3061\u306e\u7814\u7a76\u5ba4\u3067\u306f\uff0c\u30ac\u30dc\u30fc\u30eb\u5206\u5272\u591a\u91cd\u901a\u4fe1\u3092\u7814\u7a76\u3057\u3066\u3044\u307e\u3059\uff0e\u3053\u306e\u901a\u4fe1\u65b9\u5f0f\u306f\u6642\u5206\u5272\u3068\u5468\u6ce2\u6570\u5206\u5272\u3092\u540c\u6642\u306b\u884c\u3046\u6211\u3005\u306e\u30b0\u30eb\u30fc\u30d7\u306e\u72ec\u81ea\u306e\u65b9\u5f0f\u3067\u3042\u308a\uff0c\u30c9\u30c3\u30d7\u30e9\u30fc\u30b7\u30d5\u30c8\u91cf\u3092\u63a8\u5b9a\u3057\u88dc\u6b63\u3059\u308b\u3053\u3068\u304c\u51fa\u6765\u307e\u3059\uff0e<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

3) \u6df1\u5c64\u5b66\u7fd2\u306e\u5fdc\u7528\u7814\u7a76<\/h2>\n\n\n\n

MRI\u3084CT\u306e3\u6b21\u5143\u753b\u50cf\u304b\u3089\u75c5\u5909\u306e\u6709\u7121\u3092\u5224\u65ad\u3059\u308b\u8aad\u5f71\u3092\u884c\u3046\u306b\u306f\uff0c\u653e\u5c04\u7dda\u79d1\u306e\u533b\u5e2b\u304c\u4e00\u5b9a\u306e\u8a13\u7df4\u3092\u7a4d\u307e\u306a\u3051\u308c\u3070\u306a\u308a\u307e\u305b\u3093\uff0e\u5c06\u6765\u7684\u306b\u306f\uff0c\u4eba\u5de5\u77e5\u80fd\u304c\u5c02\u9580\u533b\u306e\u80fd\u529b\u3092\u8d85\u3048\u3066\u533b\u7528\u753b\u50cf\u304b\u3089\u9ad8\u4fe1\u983c\u306b\u7570\u5909\u3092\u898b\u3064\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3060\u308d\u3046\u3068\u671f\u5f85\u3055\u308c\u3066\u3044\u307e\u3059\uff0e\u79c1\u305f\u3061\u306e\u7814\u7a76\u5ba4\u3067\u306f\u3001\u533b\u5e2b\u304c\u3088\u308a\u826f\u3044\u8a3a\u65ad\u3092\u4e0b\u305b\u308b\u3088\u3046\u306b\u3001MRI\u3084\u305d\u306e\u4ed6\u306e\u533b\u7642\u7528\u753b\u50cf\u306e\u4fe1\u53f7\u51e6\u7406\u6280\u8853\u3092\u7814\u7a76\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

4) \u30ab\u30aa\u30b9\u529b\u5b66\u7cfb\u306b\u57fa\u3065\u304fAD\u5909\u63db\u5668\u3068\u4e71\u6570\u751f\u6210<\/h2>\n\n\n\n

\u5b9f\u6570\u304b\u3089\u5b9f\u6570\u3078\u306e\u95a2\u6570 \\(f\\) \u53ca\u3073\u521d\u671f\u5024 \\(x_0\\) \u304c\u4e0e\u3048\u3089\u308c\u305f\u3068\u304d\u6f38\u5316\u5f0f \\( x_{n+1} = f( x_n )\\)\n\u306b\u3088\u3063\u3066\u751f\u6210\u3055\u308c\u308b\u7cfb\u5217\\(x_n\\)\u306e\u632f\u308b\u821e\u3044\u3084\u6027\u8cea\u306b\u3064\u3044\u3066\u8b70\u8ad6\u3059\u308b\u306e\u304c(\u96e2\u6563)\u529b\u5b66\u7cfb\u3068\u3044\u3046\u5b66\u554f\u3067\u3059\u3002
\n\u533a\u9593 \\(I = [0,1]\\) \u4e0a\u306e\u95a2\u6570 \\( B (x) = 2x\\) (if \\(0 \\le x \\le 1\/2\\) ), \\(B(x) = 2x-1\\) ( if \\( 1\/2 < x\n\\le 1\\) ) \u306b\u3088\u3063\u3066\u751f\u6210\u3055\u308c\u308b \\(x_n\\) \u3068\u95be\u5024\u95a2\u6570 \\(Q(x) = 0\\) ( if \\(0 \\le x \\le 1\/2\\)), \\(Q(x) = 1\\) ( if\n\\( 1\/2 < x \\le 1\\) )\u3092\u7528\u3044\u308b\u3068\u3001\\(Q(x_n)\\) \u306f\u521d\u671f\u5024 \\(x_0\\) \u306e\u4e8c\u9032\u5c55\u958b\u306e\u7b2c \\(n\\) \u30d3\u30c3\u30c8\u3092\u8868\u3057\u307e\u3059\u3002
\n\u3053\u306e\u3053\u3068\u304b\u3089\u3001\\(B(x)\\) \u306f\u3001\u4e8c\u9032\u5c55\u958b\u5199\u50cf\uff08\u307e\u305f\u306f\u30d9\u30eb\u30cc\u30a4\u5199\u50cf\uff09\u3068\u547c\u3070\u308c\u3066\u3044\u307e\u3059\u3002
\n\u521d\u671f\u5024 \\(x_0\\) \u3092\u533a\u9593 \\(I\\) \u4e0a\u306e\u4e00\u69d8\u5206\u5e03\u306b\u5f93\u3063\u3066\u7121\u4f5c\u70ba\u306b\u9078\u3076\u3053\u3068\u3068\u3001\\(0\\) \u3068\\( 1\\) \u304c\u78ba\u7387 \\(1\/2\\) \u3067\u51fa\u3066\u304f\u308b\u78ba\u7387\u904e\u7a0b\u304c\u5bfe\u5fdc\u3057\u307e\u3059\u3002
\n\u79c1\u306e\u7814\u7a76\u5ba4\u3067\u306f \\(\\beta\\) \u5199\u50cf \\(f_{\\beta, \\theta}(x) = \\beta x\\) (if \\( 0 \\le x \\le \\theta\\) ), \\(B(x) = \\beta x-1 \\) ( if \\( \\theta < x \\le 1\\) ) ( \\( \\theta \\) \u306f\u3042\u308b\u95be\u5024\uff09\u3092\u7528\u3044\u305fAD\u5909\u63db\u5668\u306e\u6027\u8cea\u3068\u4e71\u6570\u751f\u6210\u5668\u3068\u3057\u3066\u306e\u5fdc\u7528\u3092\u7814\u7a76\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n

\"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

1) Arimoto-Blahut\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u62e1\u5f35 \u60c5\u5831\u7406\u8ad6\u306b\u304a\u3051\u308b\u69d8\u3005\u306a\u7b26\u53f7\u5316\u554f\u984c\u306e\u9650\u754c\u3092\u8868\u73fe\u3059 […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":"","_wp_rev_ctl_limit":""},"class_list":["post-70","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/www.me.inf.kyushu-u.ac.jp\/jitsumatsu\/wp-json\/wp\/v2\/pages\/70","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.me.inf.kyushu-u.ac.jp\/jitsumatsu\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.me.inf.kyushu-u.ac.jp\/jitsumatsu\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.me.inf.kyushu-u.ac.jp\/jitsumatsu\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.me.inf.kyushu-u.ac.jp\/jitsumatsu\/wp-json\/wp\/v2\/comments?post=70"}],"version-history":[{"count":0,"href":"https:\/\/www.me.inf.kyushu-u.ac.jp\/jitsumatsu\/wp-json\/wp\/v2\/pages\/70\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.me.inf.kyushu-u.ac.jp\/jitsumatsu\/wp-json\/wp\/v2\/media?parent=70"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}