{"id":135,"date":"2012-12-16T09:41:43","date_gmt":"2012-12-16T00:41:43","guid":{"rendered":"http:\/\/wpserver.local\/mc\/?page_id=135"},"modified":"2015-04-22T15:26:25","modified_gmt":"2015-04-22T06:26:25","slug":"ag_workshop6","status":"publish","type":"page","link":"http:\/\/mepa.jsiam.org\/?page_id=135","title":{"rendered":"\u7b2c6\u56de\u5358\u72ec\u7814\u7a76\u4f1a"},"content":{"rendered":"<h4 align=\"center\"><strong>\u65e5\u672c\u5fdc\u7528\u6570\u7406\u5b66\u4f1a\u300c\u884c\u5217\u30fb\u56fa\u6709\u5024\u554f\u984c\u306e\u89e3\u6cd5\u3068\u305d\u306e\u5fdc\u7528\u300d\u7814\u7a76\u90e8\u4f1a\u3000\u7b2c6\u56de\u7814\u7a76\u4f1a<\/strong><\/h4>\n<p>&nbsp;<\/p>\n<p>\u65e5\u672c\u5fdc\u7528\u6570\u7406\u5b66\u4f1a\u300c\u884c\u5217\u30fb\u56fa\u6709\u5024\u306e\u89e3\u6cd5\u3068\u305d\u306e\u5fdc\u7528\u300d\u7814\u7a76\u90e8\u4f1a\u3067\u306f\uff0c\u7b2c\uff16\u56de\u7814\u7a76\u4f1a\u3092\u958b\u50ac\u3057\u307e\u3059\uff0e<\/p>\n<ul>\n<li>\u958b\u50ac\u65e5\uff1a2008\u5e7411\u670826\u65e5\uff08\u6c34\uff09<\/li>\n<li>\u5834\u6240\uff1a\u56fd\u7acb\u60c5\u5831\u5b66\u7814\u7a76\u6240\uff12\uff12\u968e\uff12\uff12\uff10\uff18\u5ba4\uff08\u3012101-8430 \u6771\u4eac\u90fd\u5343\u4ee3\u7530\u533a\u4e00\u30c4\u6a4b2-1-2\uff09<\/li>\n<li>\u30a2\u30af\u30bb\u30b9\uff1a<a href=\"http:\/\/www.nii.ac.jp\/introduce\/access1-j.shtml\">http:\/\/www.nii.ac.jp\/introduce\/access1-j.shtml<\/a><\/li>\n<li>\u7814\u7a76\u4f1a\u7d42\u4e86\u5f8c\u306b\u56fd\u7acb\u60c5\u5831\u5b66\u7814\u7a76\u6240\u306e\u6240\u5185\u306b\u3066\u61c7\u89aa\u4f1a\u3092\u4e88\u5b9a\u3057\u3066\u3044\u307e\u3059\uff0e<a href=\"#L1\">\u61c7\u89aa\u4f1a\u306b\u53c2\u52a0\u3092\u3054\u5e0c\u671b\u306e\u65b9\u306f\u3053\u3061\u3089\u3092\u3054\u53c2\u7167\u4e0b\u3055\u3044\uff0e<\/a><\/li>\n<li>\u7b2c\uff11\u30bb\u30c3\u30b7\u30e7\u30f3\u7d42\u4e86\u5f8c\u306b\u7b2c\uff11\u56de\u904b\u55b6\u59d4\u54e1\u4f1a\u3092\u958b\u50ac\u3057\u307e\u3059\uff0e<a href=\"#L2\">\u7814\u7a76\u90e8\u4f1a\u904b\u55b6\u59d4\u54e1\u306e\u7686\u69d8\u306f\u3053\u3061\u3089\u3092\u3054\u53c2\u7167\u4e0b\u3055\u3044\uff0e<\/a><\/li>\n<\/ul>\n<h5><strong>\u30d7\u30ed\u30b0\u30e9\u30e0<\/strong><\/h5>\n<p><strong>\u30aa\u30fc\u30d7\u30cb\u30f3\u30b0<\/strong><span style=\"font-family: HiraKakuPro-W3;\">\u3000<\/span>\u4e3b\u67fb\uff1a\u7247\u6850 \u5b5d\u6d0b\uff08\u6771\u4eac\u5927\u5b66\uff09\uff0810\uff1a20\uff09<\/p>\n<p><strong>\u3010\u30bb\u30c3\u30b7\u30e7\u30f3\uff11\uff1a\u6700\u5c0f\u4e8c\u4e57\u554f\u984c\u3011<\/strong>\u00a0\u5ea7\u9577\uff1a\u76f4\u91ce \u5065\uff08\u65e5\u7acb\u4e2d\u592e\u7814\u7a76\u6240\uff09<\/p>\n<ul>\n<li>\u8b1b\u6f141\uff0810\uff1a30\uff5e11\uff1a00\uff09<br \/>\n<a href=\"http:\/\/www.cs.tsukuba.ac.jp\/~sakurai\/nii-20081126-hayami.pdf\">\u6700\u5c0f\u4e8c\u4e57\u554f\u984c\u306b\u5bfe\u3059\u308b\u30af\u30ea\u30ed\u30d5\u90e8\u5206\u7a7a\u9593\u6cd5\u306e\u53ce\u675f\u89e3\u6790<br \/>\n<\/a>\u25cb\u901f\u6c34 \u8b19\uff08\u56fd\u7acb\u60c5\u5831\u5b66\u7814\u7a76\u6240\uff09\uff0cJun-Feng Yin\uff08Tongji University, China\uff09<\/p>\n<blockquote><p>\u6982\u8981\uff1a \u6700\u5c0f\u4e8c\u4e57\u554f\u984c\u306b\u5bfe\u3059\u308bCGLS\u6cd5\u304a\u3088\u3073(BA-)GMRES\u6cd5\u306e\u53ce\u675f\u6027\u3092\u7406\u8ad6\u304a\u3088\u3073\u6570\u5024\u5b9f\u9a13\u306b\u3088\u308a\u89e3\u6790\u3057\u6bd4\u8f03\u3059\u308b\u3002\u7279\u306bCGLS\u6cd5\u306b\u304a\u3051\u308b\u4e38\u3081\u8aa4\u5dee\u306e\u5f71\u97ff\u3068\u4fc2\u6570\u884c\u5217\u306e\u7279\u7570\u5024\u306e\u5206\u5e03\u306e\u95a2\u4fc2\u3001\u518d\u76f4\u4ea4\u5316\u306e\u52b9\u679c\u306b\u3064\u3044\u3066\u8ff0\u3079\u308b\u3002<\/p><\/blockquote>\n<\/li>\n<li>\u8b1b\u6f142\uff0811\uff1a00\uff5e11\uff1a30\uff09<br \/>\nGreville&#8217;s Method for Preconditioning Least Squares Problem<br \/>\n\u25cbXiaoke Cui (Sokendai), Ken Hayami (NII), Junfeng Yin (Tongji University, China)<\/p>\n<blockquote><p>\u6982\u8981\uff1a In this paper, we construct a preconditioner for least squares problems $min|b-Ax|_2$, where $A$ can be matrices with any shape or rank. The preconditioner itself is a sparse approximation to the Moore-Penrose inverse of the coefficient matrix $A$. For this preconditioner, we provide theoretical analysis to show that under our assumption, the problem preconditioned by this preconditioner is equivalent to the original problem, and the GMRES method can determine a solution to the preconditioned problem before breakdown happens.<\/p><\/blockquote>\n<\/li>\n<\/ul>\n<p><strong>\u3010\u62db\u5f85\u8b1b\u6f14\u3011<\/strong>\u00a0\u5ea7\u9577\uff1a\u7247\u6850 \u5b5d\u6d0b\uff08\u6771\u4eac\u5927\u5b66\uff09<\/p>\n<ul>\n<li>\u62db\u5f85\u8b1b\u6f14\uff0813\uff1a00\uff5e13\uff1a45\uff09<br \/>\n<a href=\"http:\/\/www.cs.tsukuba.ac.jp\/~sakurai\/nii-20081126-umetani.pdf\">\u30a4\u30f3\u30bf\u30e9\u30af\u30c6\u30a3\u30d6\u306a\uff35\uff29\u3092\u5099\u3048\u305f\u7d71\u5408\u578b\u8a2d\u8a08\u89e3\u6790\u30bd\u30d5\u30c8\u30a6\u30a7\u30a2\u306e\u958b\u767a<br \/>\n<\/a>\u6885\u8c37 \u4fe1\u884c\uff08\u6771\u4eac\u5927\u5b66\u5927\u5b66\u9662\u3001\u65b0\u9818\u57df\u5275\u6210\u79d1\u5b66\u7814\u7a76\u79d1\u3001\u4e45\u7530\u7814\u7a76\u5ba4\uff09<\/p>\n<blockquote><p>\u6982\u8981\uff1a \u5f93\u6765\u5225\u3005\u3067\u3042\u3063\u305f\u8a2d\u8a08\u3068\u89e3\u6790\u3092\u3001\u30a4\u30f3\u30bf\u30e9\u30af\u30c6\u30a3\u30d6\u306b\u7d71\u5408\u3055\u305b\u305f\u30bd\u30d5\u30c8\u30a6\u30a7\u30a2\u3092\u65b0\u305f\u306b\u63d0\u6848\u3059\u308b\uff0e\u30e1\u30c3\u30b7\u30e5\u3092\u9023\u7d9a\u7684\u306b\u5909\u5f62\u3055\u305b\u308b\u3053\u3068\u3067\u3001\u30ea\u30a2\u30eb\u30bf\u30a4\u30e0\u306b\u8a2d\u8a08\u5909\u66f4\u304c\u89e3\u6790\u7d50\u679c\u306b\u53cd\u6620\u3055\u308c\u3001\u8a2d\u8a08\u3078\u306e\u30d5\u30a3\u30fc\u30c9\u30d0\u30c3\u30af\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u308b\uff0e\u3053\u308c\u306b\u3088\u3063\u3066\u5f62\u3092\u5909\u3048\u306a\u304c\u3089\u89e3\u6790\u7d50\u679c\u3092\u898b\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u306e\u3067\u6700\u9069\u5316\u8a2d\u8a08\u304c\u3067\u304d\u308b\uff0e\u307e\u305f\u3001\u5f62\u72b6\u3068\u5fdc\u529b\u306a\u3069\u306e\u7269\u7406\u91cf\u306e\u76f8\u95a2\u304c\u7406\u89e3\u3067\u304d\u308b\u305f\u3081\u76f4\u611f\u3092\u990a\u3046\u6559\u80b2\u3068\u3057\u3066\u6709\u52b9\u3067\u3042\u308b\uff0e<\/p><\/blockquote>\n<\/li>\n<\/ul>\n<p><strong>\u3010\u30bb\u30c3\u30b7\u30e7\u30f3\uff12\uff1a\u7dda\u5f62\u65b9\u7a0b\u5f0f\u3011<\/strong>\u3000\u5ea7\u9577\uff1a\u901f\u6c34 \u8b19\uff08\u56fd\u7acb\u60c5\u5831\u5b66\u7814\u7a76\u6240\uff09<\/p>\n<ul>\n<li>\u8b1b\u6f143\uff0813\uff1a45\uff5e14\uff1a15\uff09<br \/>\n<a href=\"http:\/\/www.cs.tsukuba.ac.jp\/~sakurai\/nii-20081126-yasumura.ppt\">\u5927\u898f\u6a21\u306a\u4e09\u89d2Toeplitz\u7dda\u5f62\u65b9\u7a0b\u5f0f\u306e\u9ad8\u901f\u89e3\u6cd5\u3068\u305d\u306e\u5fdc\u7528<br \/>\n<\/a>\u5b89\u6751 \u4fee\u4e00\uff08\u6cd5\u653f\u5927\u5b66\u5de5\u5b66\u90e8\u96fb\u5b50\u60c5\u5831\u5b66\u79d1 4\u5e74\uff09<\/p>\n<blockquote><p>\u6982\u8981\uff1a T\u3092n\u00d7n\u306e\u4e09\u89d2Toeplitz\u884c\u5217, b\u3092n\u6b21\u5143\u30d9\u30af\u30c8\u30eb\u3068\u3057\u305f\u7dda\u5f62\u65b9\u7a0b\u5f0fTx=b\u3092\u6570\u5024\u7684\u306b\u89e3\u304f\u3053\u3068\u3092\u8003\u3048\u308b. \u3053\u3053\u3067\u306f, \u5358\u7d14\u306a\u884c\u5217\u306e\u5206\u89e3\u3068\u9ad8\u901f\u30d5\u30fc\u30ea\u30a8\u5909\u63db\u3092\u4f7f\u3063\u3066\u884c\u5217\u3068\u30d9\u30af\u30c8\u30eb\u306e\u7a4d\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u3067\u7dda\u5f62\u65b9\u7a0b\u5f0f\u306e\u89e3\u3068\u884c\u5217T\u306e\u9006\u884c\u5217\u3092O(nlogn)\u3067\u6c42\u3081\u308b\u518d\u5e30\u7684\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306b\u3064\u3044\u3066\u7d39\u4ecb\u3059\u308b. \u307e\u305f, \u3053\u308c\u3092Gauss-Seidel\u6cd5\u306b\u9069\u7528\u3057\u4e00\u822cToeplitz\u7dda\u5f62\u65b9\u7a0b\u5f0f\u3092\u9ad8\u901f\u306b\u89e3\u304f\u3053\u3068\u304c\u3067\u304d\u308b\u3053\u3068\u3092\u793a\u3059.<\/p><\/blockquote>\n<\/li>\n<li>\u8b1b\u6f144\uff0814\uff1a15\uff5e14\uff1a45\uff09<br \/>\n<a href=\"http:\/\/www.cs.tsukuba.ac.jp\/~sakurai\/nii-20081126-tanio.ppt\">\u4e00\u822c\u5316Bi-CGSTAB(s, L) (= \u4e00\u822c\u5316IDR(s, L))<br \/>\n<\/a>\u25cb\u8c37\u5c3e \u771f\u660e\uff08\u6771\u4eac\u5927\u5b66\uff09\uff0c\u6749\u539f \u6b63\u986f\uff08\u6771\u4eac\u5927\u5b66\uff09<\/p>\n<blockquote><p>\u6982\u8981\uff1a \u9023\u7acb\u4e00\u6b21\u65b9\u7a0b\u5f0f\u306e\u53cd\u5fa9\u89e3\u6cd5\u306b\u304a\u3044\u3066, \u8fd1\u5e74IDR(s)\u6cd5\u304c\u6ce8\u76ee\u3055\u308c\u3066\u3044\u308b. IDR(s)\u6cd5\u306f, \u9ad8\u6b21\u306eshadow residual\u3092\u6301\u3064Bi-CG\u6cd5\u306b1\u6b21\u306e\u52a0\u901f\u591a\u9805\u5f0f\u3092\u4ed8\u52a0\u3057\u305f\u5b9f\u88c5\u306b\u3088\u3063\u3066\u3082, \u5b9f\u73fe\u53ef\u80fd\u306a\u3053\u3068\u304c\u5206\u304b\u3063\u3066\u3044\u305f. \u672c\u767a\u8868\u3067\u306f, \u65e2\u5b58\u7814\u7a76\u3068\u306f\u7570\u306a\u308b\u5f62\u5f0f\u306b\u3088\u308a, \u9ad8\u6b21\u306eshadow residual\u3092\u6301\u3064Bi-CG\u3092\u5b9a\u7fa9\u3057, L\u6b21\u306e\u52a0\u901f\u591a\u9805\u5f0f\u3092\u4ed8\u52a0\u3057\u305f\u5b9f\u88c5\u3092\u53ef\u80fd\u306b\u3057\u305f, GBi-CGSTAB(s, L)\u3092\u7d39\u4ecb\u3059\u308b.<\/p><\/blockquote>\n<\/li>\n<li>\u8b1b\u6f145\uff0814\uff1a45\uff5e15\uff1a15\uff09<br \/>\n\u7dda\u5f62\u65b9\u7a0b\u5f0f\u6c42\u89e3\u30d7\u30ed\u30bb\u30b9\u306b\u304a\u3051\u308b\u54c1\u8cea\u7ba1\u7406\u304b\u3089\u307f\u305f\u524d\u51e6\u7406\u65b9\u6cd5\u3068\u53ce\u675f\u5224\u5b9a\u306b\u5bfe\u3059\u308b\u8003\u5bdf<br \/>\n\u25cb\u4f0a\u85e4 \u7965\u53f8\uff08\u7406\u5316\u5b66\u7814\u7a76\u6240\u60c5\u5831\u57fa\u76e4\u30bb\u30f3\u30bf\u30fc), \u3000\u6749\u539f \u6b63\u986f\uff08\u6771\u4eac\u5927\u5b66\u5927\u5b66\u9662\u60c5\u5831\u7406\u5de5\u5b66\u7cfb\u7814\u7a76\u79d1\uff09<\/p>\n<blockquote><p>\u6982\u8981\uff1a \u672c\u8b1b\u6f14\u3067\u306f\uff0c\u7dda\u5f62\u65b9\u7a0b\u5f0f\u6c42\u89e3\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u4f53\u7cfb\u7684\u6027\u80fd\u8a55\u4fa1\u3084\u7279\u6027\u5206\u6790\u306e\u305f\u3081\u306e\u8a55\u4fa1\u6307\u6a19\u4f5c\u6210\u306b\u5411\u3051\u3066\uff0c\u54c1\u8cea\u7ba1\u7406\u306e\u767a\u60f3\u3092\u63a1\u308a\u5165\u308c\u305f\uff0e\u305d\u306e\u3088\u3046\u306a\u5206\u6790\u30fb\u8a55\u4fa1\u3092\u3068\u304a\u3057\u3066\u898b\u51fa\u3055\u308c\u305f\u4e8b\u4f8b\u3068\u3057\u3066\uff0c\u30af\u30ea\u30ed\u30d5\u90e8\u5206\u7a7a\u9593\u6cd5\u306e\u524d\u51e6\u7406\u65b9\u5f0f\u306e\u9055\u3044\u306b\u3088\u308b\u554f\u984c\u70b9\u3068\uff0c\u5404\u3005\u306e\u524d\u51e6\u7406\u65b9\u5f0f\u306b\u304a\u3051\u308b\u53ce\u675f\u5224\u5b9a\u306b\u3064\u3044\u3066\u8b70\u8ad6\u3059\u308b\uff0e<\/p><\/blockquote>\n<\/li>\n<li>\u8b1b\u6f146\uff0815\uff1a15\uff5e15\uff1a45\uff09<br \/>\n<a href=\"http:\/\/www.cs.tsukuba.ac.jp\/~sakurai\/nii-20081126-washio.ppt\">\u8d85\u5f3e\u6027\u4f53\u89e3\u6790\u3067\u73fe\u308c\u308b\u525b\u6027\u884c\u5217\u306e\u6027\u8cea\u3068\u305d\u306e\u89e3\u6cd5\u306b\u95a2\u3057\u3066<br \/>\n<\/a>\u25cb\u9df2\u5c3e \u5de7\uff08\u6771\u4eac\u5927\u5b66\uff09\uff0c\u3000\u4e45\u7530 \u4fca\u660e\uff08\u6771\u4eac\u5927\u5b66\uff09<\/p>\n<blockquote><p>\u6982\u8981\uff1a \u6700\u521d\u306b, \u751f\u4f53\u7d44\u7e54\u3084\u30b4\u30e0\u306e\u9023\u7d9a\u4f53\u30e2\u30c7\u30eb\u3068\u3057\u3066\u7528\u3044\u3089\u308c\u308b\u8d85\u5f3e\u6027\u4f53\u30e2\u30c7\u30eb\u306e\u6709\u9650\u8981\u7d20\u89e3\u6790\u306b\u304a\u3044\u3066\u73fe\u308c\u308b\u525b\u6027\u884c\u5217\u306e\u7279\u5fb4\u306b\u95a2\u3057\u3066\u8003\u5bdf\u3059\u308b. \u3053\u308c\u3089\u306e\u9023\u7d9a\u4f53\u306f, \u4f38\u9577\u306b\u5bfe\u3057\u3066\u306f\u975e\u5e38\u306b\u67d4\u8edf\u3067\u3042\u308b\u4e00\u65b9, \u4f53\u7a4d\u5909\u5316\u306b\u5bfe\u3057\u3066\u306f\u5927\u304d\u306a\u525b\u6027\u3092\u6709\u3059\u308b\u3053\u3068\u3092\u7279\u5fb4\u3068\u3059\u308b. \u6b21\u306b, \u305d\u306e\u7dda\u5f62\u65b9\u7a0b\u5f0f\u306e\u53cd\u5fa9\u89e3\u6cd5\u3068\u53ce\u675f\u6027\u306b\u3064\u3044\u3066\u8b70\u8ad6\u3059\u308b.<\/p><\/blockquote>\n<\/li>\n<\/ul>\n<p><strong>\u3010\u30bb\u30c3\u30b7\u30e7\u30f3\uff13\uff1a\u56fa\u6709\u5024\u30fb\u7279\u7570\u5024\u554f\u984c\u3011<\/strong>\u3000\u5ea7\u9577\uff1a\u7247\u6850 \u5b5d\u6d0b\uff08\u6771\u4eac\u5927\u5b66\uff09<\/p>\n<ul>\n<li>\u8b1b\u6f147\uff0816\uff1a00\uff5e16\uff1a30\uff09<br \/>\nKato-Temple\u306e\u4e0d\u7b49\u5f0f\u3068\u4e00\u822c\u5316Newton\u4e0b\u754c\u306b\u3088\u308b\u30b7\u30d5\u30c8\u6226\u7565<br \/>\n\u25cb\u6728\u6751 \u6b23\u53f8(\u4eac\u90fd\u5927\u5b66\u5927\u5b66\u9662\u60c5\u5831\u5b66\u7814\u7a76\u79d1)\uff0c\u5c71\u4e0b \u5de7(\u4eac\u90fd\u5927\u5b66\u5927\u5b66\u9662\u60c5\u5831\u5b66\u7814\u7a76\u79d1\uff0cJST)\uff0c\u9ad8\u7530 \u96c5\u7f8e(\u5948\u826f\u5973\u5b50\u5927\u5b66\u5927\u5b66\u9662\u4eba\u9593\u6587\u5316\u7814\u7a76\u79d1)\uff0c\u4e2d\u6751 \u4f73\u6b63(\u4eac\u90fd\u5927\u5b66\u5927\u5b66\u9662\u60c5\u5831\u5b66\u7814\u7a76\u79d1\uff0cJST)<\/p>\n<blockquote><p>\u6982\u8981\uff1a \u4e71\u6570\u306b\u3088\u3063\u3066\u751f\u6210\u3055\u308c\u305f2\u91cd\u5bfe\u89d2\u884c\u5217\u306b\u3064\u3044\u3066\u4e00\u822c\u5316Newton\u4e0b\u754c\u306b\u3088\u308b\u30b7\u30d5\u30c8\u6226\u7565\u3092\u7528\u3044\u305fmdLVs\u6cd5\u306b\u3088\u308b\u7279\u7570\u5024\u8a08\u7b97\u306f\u3001Johnson\u30b7\u30d5\u30c8\u306b\u5bfe\u3057\u3066\u5341\u5206\u306b\u305d\u306e\u512a\u4f4d\u6027\u3092\u4e3b\u5f35\u3067\u304d\u308b\u304c\u3001\u7279\u6b8a\u306a2\u91cd\u5bfe\u89d2\u884c\u5217\u3001\u3053\u3053\u3067\u306f\u3001\u5bfe\u89d2\u6210\u5206\u304c\u3059\u3079\u3066\u7b49\u3057\u304f(=a) \u307e\u305f\u3001\u975e\u5bfe\u89d2\u6210\u5206\u3082\u3059\u3079\u3066\u7b49\u3044(=b)\u306e\u3088\u3046\u306a\u884c\u5217\u3067\u306f\u3001\u4e3b\u5f35\u3067\u304d\u306a\u3044\u3002\u305d\u3053\u3067\u3001\u4e00\u822c\u5316Newton\u4e0b\u754c\u3067\u5f97\u3089\u308c\u308b\u5024\u3092\u4f7f\u3063\u305fKato-Temple\u306e\u4e0d\u7b49\u5f0f\u306b\u3088\u308b\u65b0\u3057\u3044\u4e0b\u754c\u3092\u4ed8\u52a0\u7684\u306b\u52a0\u3048\u308b\u3053\u3068\u3067\u3001\u7279\u6b8a\u306a2\u91cd\u5bfe\u89d2\u884c\u5217\u306b\u3064\u3044\u3066\u3082\u3001Johnson\u30b7\u30d5\u30c8\u306b\u5bfe\u3057\u3066\u512a\u4f4d\u6027\u304c\u4e3b\u5f35\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308b\u3053\u3068\u3092\u5831\u544a\u3059\u308b\u3002<\/p><\/blockquote>\n<\/li>\n<li>\u8b1b\u6f148\uff0816\uff1a30\uff5e17\uff1a00\uff09<br \/>\n<a href=\"http:\/\/www.cs.tsukuba.ac.jp\/~sakurai\/nii-20081126-aishima.ppt\">\u30b7\u30d5\u30c8\u4ed8\u304d\u30b3\u30ec\u30b9\u30ad\u30fcLR\u6cd5\u306b\u304a\u3051\u308b\uff12\u3064\u306e\u56fa\u6709\u5024\u8fd1\u4f3c\u6cd5\u306e\u53ce\u675f\u6027\u306b\u3064\u3044\u3066<br \/>\n<\/a>\u25cb\u76f8\u5cf6 \u5065\u52a9\uff08\u6771\u4eac\u5927\u5b66\uff0cD1\uff09\uff0c\u677e\u5c3e \u5b87\u6cf0\uff08\u6771\u4eac\u5927\u5b66\uff09\uff0c\u5ba4\u7530 \u4e00\u96c4\uff08\u6771\u4eac\u5927\u5b66)\uff0c\u6749\u539f \u6b63\u986f\uff08\u6771\u4eac\u5927\u5b66\uff09<\/p>\n<blockquote><p>\u6982\u8981\uff1a \uff13\u91cd\u5bfe\u89d2\u884c\u5217\u306b\u5bfe\u3059\u308b\u30b3\u30ec\u30b9\u30ad\u30fcLR\u6cd5\u306f\uff0c\u7279\u7570\u5024\u8a08\u7b97\u306e\u305f\u3081\u306e dqds \u6cd5\u3068\u6570\u5b66\u7684\u306b\u7b49\u4fa1\u3067\u3042\u308b\uff0edqds\u6cd5\u306b\u304a\u3044\u3066\uff0c\u901a\u5e38\uff0c\uff08\u5bfe\u89d2\uff0b\u30b7\u30d5\u30c8\uff09\u3067\u7279\u7570\u5024\u306e\u5e73\u65b9\u3092\u8fd1\u4f3c\u3059\u308b\u304c\uff0c\u591a\u304f\u306e\u5834\u5408\uff0c\u5b9f\u306f\u30b7\u30d5\u30c8\u306e\u307f\u3067\u3082\u8fd1\u4f3c\u5024\u3092\u4e0e\u3048\u308b\uff0e\u6700\u8fd1\u6211\u3005\u306f\u3053\u306e\uff12\u3064\u306e\u8fd1\u4f3c\u6cd5\u306b\u95a2\u3057\uff0c\u30b7\u30d5\u30c8\u306f\u5358\u8abf\u5897\u52a0\uff0c\uff08\u5bfe\u89d2\uff0b\u30b7\u30d5\u30c8\uff09\u306f\u5358\u8abf\u6e1b\u5c11\u3067\uff0c\u6f38\u8fd1\u7684\u306b\u306f\u5f8c\u8005\u306e\u65b9\u304c\u7279\u7570\u5024\u306e\u5e73\u65b9\u3092\u3088\u304f\u8fd1\u4f3c\u3059\u308b\u3053\u3068\u3092\u793a\u3057\u305f\uff0e\u672c\u8b1b\u6f14\u3067\u306f\uff0c\u3053\u306e\u7d50\u679c\u304c\u4e00\u822c\u306e\u6b63\u5b9a\u5024\u884c\u5217\u306b\u5bfe\u3059\u308b\u30b3\u30ec\u30b9\u30ad\u30fcLR\u6cd5\u306b\u62e1\u5f35\u3067\u304d\u308b\u3053\u3068\u3092\u793a\u3059\uff0e<\/p><\/blockquote>\n<\/li>\n<li>\u8b1b\u6f149\uff0817\uff1a00\uff5e17\uff1a30\uff09<br \/>\n<a href=\"http:\/\/www.cs.tsukuba.ac.jp\/~sakurai\/nii-20081126-yamamoto.ppt\">AllReduce \u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306b\u3088\u308b QR \u5206\u89e3\u306e\u7cbe\u5ea6\u306b\u3064\u3044\u3066<br \/>\n<\/a>\u25cb\u5c71\u672c\u6709\u4f5c\uff0c\u68ee\u5927\u4ecb\uff0c\u5f35\u7d39\u826f\uff08\u540d\u53e4\u5c4b\u5927\u5b66\uff09<\/p>\n<blockquote><p>\u6982\u8981\uff1a \u30cf\u30a6\u30b9\u30db\u30eb\u30c0\u30fcQR\u5206\u89e3\u3092\u52b9\u7387\u7684\u306b\u4e26\u5217\u5316\u3059\u308b\u305f\u3081\u306e\u624b\u6cd5\u3068\u3057\u3066\uff0c\u6700\u8fd1\uff0cAllReduce \u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u304c\u63d0\u6848\u3055\u308c\uff0c\u6ce8\u76ee\u3092\u96c6\u3081\u3066\u3044\u308b\u3002\u672c\u767a\u8868\u3067\u306f\uff0cAllReduce \u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u7cbe\u5ea6\u306b\u3064\u3044\u3066\uff0c\u6b8b\u5dee\u3068\u76f4\u4ea4\u6027\u3092\u6307\u6a19\u3068\u3057\u3066\u8a55\u4fa1\u3092\u884c\u3046\u3002\u307e\u305f\uff0c\u5f93\u6765\u306e\u30cf\u30a6\u30b9\u30db\u30eb\u30c0\u30fcQR\u5206\u89e3\u306e\u8aa4\u5dee\u89e3\u6790\u306e\u7d50\u679c\u306b\u57fa\u3065\u304d\uff0c\u7cbe\u5ea6\u306b\u3064\u3044\u3066\u306e\u7406\u8ad6\u7684\u8003\u5bdf\u3092\u884c\u3046\u3002<\/p><\/blockquote>\n<\/li>\n<li>\u8b1b\u6f1410\uff0817\uff1a30\uff5e18\uff1a00\uff09<br \/>\n<a href=\"http:\/\/www.cs.tsukuba.ac.jp\/~sakurai\/nii-20081126-tokuda.pdf\">\u78c1\u6c17\u6d41\u4f53\u529b\u5b66\u65b9\u7a0b\u5f0f\u306e\u56fa\u6709\u5024\u554f\u984c\u306b\u304a\u3051\u308b\u300c\u5207\u308a\u3064\u306a\u304e\u6cd5\u300d<br \/>\n<\/a>\u25cb\u5fb3\u7530 \u4f38\u4e8c\uff0c\u767d\u77f3 \u6df3\u4e5f\uff08\u65e5\u672c\u539f\u5b50\u529b\u7814\u7a76\u958b\u767a\u6a5f\u69cb\uff09\uff0c\u5f71\u4e95 \u5eb7\u5f18\uff08\u9ad8\u5ea6\u60c5\u5831\u79d1\u5b66\u6280\u8853\u7814\u7a76\u6a5f\u69cb\uff09<\/p>\n<blockquote><p>\u6982\u8981\uff1a \u78c1\u5834\u9589\u3058\u8fbc\u3081\u30d7\u30e9\u30ba\u30de\u306e\u904b\u52d5\u3092\u8a18\u8ff0\u3059\u308b\u78c1\u6c17\u6d41\u4f53\u529b\u5b66\u65b9\u7a0b\u5f0f\u306e\u56fa\u6709\u5024\u554f\u984c\u306e\u56fa\u6709\u5024\u306f\u30d7\u30e9\u30ba\u30de\u306e\u6163\u6027\u52b9\u679c\u3092\u8868\u3057\u3066\u3044\u308b\u3002\u30d7\u30e9\u30ba\u30de\u306e\u6163\u6027\u52b9\u679c\u306f\u300c\u5171\u9cf4\u9762\u300d\u306e\u5468\u308a\u306e\u8fd1\u508d\uff08\u5185\u90e8\u5c64\u3068\u547c\u3076\uff09\u3067\u306e\u307f\u50cd\u304d\u3001\u305d\u306e\u5916\u5074\uff08\u5916\u90e8\u9818\u57df\u3068\u547c\u3076\uff09\u3067\u306f\u6163\u6027\uff08\u56fa\u6709\u5024\uff09\u3092\u7121\u8996\u3059\u308b\u8fd1\u4f3c\u304c\u6210\u7acb\u3059\u308b\u3002\u305d\u3053\u3067\u3001\u6211\u3005\u306f\u63a5\u7d9a\u70b9\u3092\u8a2d\u3051\u3066\u3001\u5916\u90e8\u9818\u57df\u3067\u306f\u6163\u6027\u306e\u306a\u3044\u65b9\u7a0b\u5f0f\u3092\u3001\u5185\u90e8\u5c64\u3067\u306f\u904b\u52d5\u65b9\u7a0b\u5f0f\u3092\u89e3\u3044\u3066\u3001\u4e21\u8005\u306e\u89e3\u3092\u63a5\u7d9a\u3057\u3066\u3001\u3082\u3068\u306e\u56fa\u6709\u5024\u554f\u984c\u3092\u63a5\u7d9a\u70b9\u306b\u304a\u3051\u308b\u5024\u306b\u95a2\u3059\u308b\u5c0f\u898f\u6a21\u306e\u884c\u5217\u306b\u95a2\u3059\u308b\u56fa\u6709\u5024\u554f\u984c\u306b\u5e30\u7740\u3055\u305b\u308b\u65b9\u6cd5\u3092\u8003\u6848\u3057\u305f\u3002<\/p><\/blockquote>\n<\/li>\n<\/ul>\n<p><strong>\u30af\u30ed\u30fc\u30b8\u30f3\u30b0<span style=\"font-family: HiraKakuPro-W3;\">\u3000<\/span><\/strong>\u5e79\u4e8b\uff1a\u901f\u6c34 \u8b19\uff08\u56fd\u7acb\u60c5\u5831\u5b66\u7814\u7a76\u6240\uff09\uff0818\uff1a00\uff09<\/p>\n<p><a name=\"L2\"><\/a><strong>\u5e79\u4e8b\u4f1a\u30fb\u904b\u55b6\u59d4\u54e1\u4f1a<\/strong><\/p>\n<ul>\n<li>\u65e5\u672c\u5fdc\u7528\u6570\u7406\u5b66\u4f1a\u300c\u884c\u5217\u30fb\u56fa\u6709\u5024\u306e\u89e3\u6cd5\u3068\u305d\u306e\u5fdc\u7528\u300d\u7814\u7a76\u90e8\u4f1a<span style=\"font-family: HiraKakuPro-W3;\">\u3000<\/span>\u7b2c\uff11\u56de\u5e79\u4e8b\u4f1a\uff0811\uff1a30\uff5e12:15\uff09<br \/>\n\u5834\u6240\uff1a\u30bb\u30df\u30ca\u30fc\u5ba4\uff12\uff08\uff11\uff15\u968e\uff11\uff15\uff10\uff19\u5ba4\uff09<\/li>\n<li>\u65e5\u672c\u5fdc\u7528\u6570\u7406\u5b66\u4f1a\u300c\u884c\u5217\u30fb\u56fa\u6709\u5024\u306e\u89e3\u6cd5\u3068\u305d\u306e\u5fdc\u7528\u300d\u7814\u7a76\u90e8\u4f1a<span style=\"font-family: HiraKakuPro-W3;\">\u3000<\/span>\u7b2c\uff11\u56de\u904b\u55b6\u59d4\u54e1\u4f1a\uff0812:20\uff5e12:50\uff09<br \/>\n\u5834\u6240\uff1a\u30bb\u30df\u30ca\u30fc\u5ba4\uff12\uff08\uff11\uff15\u968e\uff11\uff15\uff10\uff19\u5ba4\uff09<\/li>\n<\/ul>\n<p><a name=\"L1\"><\/a><strong>\u61c7\u89aa\u4f1a\u53c2\u52a0\u7968<\/strong><\/p>\n<pre>\u56fd\u7acb\u60c5\u5831\u5b66\u7814\u7a76\u6240\uff08\uff13\u968e\u55ab\u8336\u5ba4\uff09\r\n\u958b\u59cb\u6642\u523b\uff1a18\uff1a10\uff5e\r\n\u4f1a\u8cbb\uff1a4000\u5186\u7a0b\u5ea6\r\n\r\n\u61c7\u89aa\u4f1a\u306b\u53c2\u52a0\u3057\u307e\u3059\u3002\r\n\r\n\u304a\u540d\u524d\uff1a\r\n\u3054\u6240\u5c5e\uff1a\r\nE-mail\uff1a\r\n\r\n<strong>\uff12\uff10\uff10\uff18\u5e74\uff11\uff11\u6708\uff11\uff18\u65e5\uff08\u706b\uff09\u307e\u3067<\/strong>\u306b\u3001\u3053\u306e\u53c2\u52a0\u8868\u3092\u96fb\u5b50\u30e1\u30fc\u30eb\u3067\u304a\u7533\u3057\u8fbc\u307f\u304f\u3060\u3055\u3044\u3002\r\n\u9001\u4ed8\u5148\u306eE\u30e1\u30fc\u30eb\u30a2\u30c9\u30ec\u30b9\uff1a 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