<\/span><\/h3>\n\n\n\n\u5f0f(1)\u306e\u3088\u3046\u306a\u30a4\u30b8\u30f3\u30b0\u554f\u984c\u3092\u89e3\u304f\u6642\u3001<\/p>\n\n\n\n
$$ H(\\vec{\\sigma}) = – \\sum_{i<j} J_{i,j} \\sigma_i \\sigma_j – \\sum_i h_i \\sigma_i \\tag{1} $$<\/p>\n\n\n\n
\u30dc\u30eb\u30c4\u30de\u30f3\u5206\u5e03\u306f\u4ee5\u4e0b\u306e\u5f0f(2), (3)\u306b\u5f93\u3044\u307e\u3059\u3002<\/p>\n\n\n\n
$$ P(\\vec{\\sigma}|\\beta) = \\frac{1}{Z} e^{-\\beta H(\\vec{\\sigma})} \\tag{2} $$<\/p>\n\n\n\n
$$ Z = \\sum_{\\vec{\\sigma}}e^{-\\beta H(\\vec{\\sigma})} \\tag{3} $$<\/p>\n\n\n\n
$\\beta$\u306f\u9006\u6e29\u5ea6\u3067\u3001Z\u306f\u5206\u914d\u95a2\u6570\u3068\u547c\u3070\u308c\u307e\u3059\u3002Z\u306f\u53d6\u308a\u3046\u308b\u3059\u3079\u3066\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u72b6\u614b\u306e\u548c\u3067\u3042\u308b\u305f\u3081\u3001\u554f\u984c\u30b5\u30a4\u30ba\u304c\u5897\u3048\u308b\u3068\u8a08\u7b97\u91cf\u304c\u6307\u6570\u7684\u306b\u5897\u3048\u3066\u3057\u307e\u3044\u3001\u8a08\u7b97\u30ea\u30bd\u30fc\u30b9\u306e\u4e0a\u9650\u3092\u8d85\u3048\u3066\u3057\u307e\u3044\u307e\u3059\u3002\u305d\u3053\u3067\u3001\u30de\u30eb\u30b3\u30d5\u9023\u9396\u30e2\u30f3\u30c6\u30ab\u30eb\u30ed\u6cd5(MCMC\u6cd5)\u306e\u8003\u3048\u65b9\u3092\u4f7f\u3063\u3066\u3001\u8fd1\u4f3c\u7684\u306b\u30dc\u30eb\u30c4\u30de\u30f3\u5206\u5e03\u3092\u3082\u3068\u3081\u307e\u3059\u3002MCMC\u6cd5\u3068\u306f\u3001\u6b21\u306e\u72b6\u614b\u304c\u73fe\u5728\u306e\u72b6\u614b\u306e\u307f\u3067\u6c7a\u5b9a\u3055\u308c\u308b\u6642\u3001\u4e71\u6570\u3092\u4f7f\u3063\u3066\u5168\u4f53\u306e\u5206\u5e03\u3092\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u3059\u308b\u65b9\u6cd5\u3067\u3059\u3002\u4eca\u56de\u306f\u3001MCMC\u6cd5\u306e\u4e00\u3064\u3067\u3042\u308b\u30e1\u30c8\u30ed\u30dd\u30ea\u30b9\u6cd5\u3092\u4f7f\u3063\u3066\u3001\u30dc\u30eb\u30c4\u30de\u30f3\u5206\u5e03\u3092\u3082\u3068\u3081\u307e\u3059\u3002\u6b21\u306e1.\uff5e5.\u304c\u305d\u306e\u5177\u4f53\u7684\u306a\u65b9\u6cd5\u3067\u3059\u3002<\/p>\n\n\n\n
1. N\u500b\u306e\u30b9\u30d4\u30f3$\\vec{\\sigma}$\u306e\u5185\u3001\u3069\u308c\u304b\u4e00\u3064\u3092\u30e9\u30f3\u30c0\u30e0\u306b\u9078\u3073\u3001\u30b9\u30d4\u30f3\u3092\u53cd\u8ee2(-1\u21921, 1\u2192-1)\u3055\u305b\u308b\u3002<\/p>\n\n\n\n
2. \u30a8\u30cd\u30eb\u30ae\u30fc\u5024\u3092\u8a08\u7b97\u3057\u3066\u3001\u3069\u306e\u304f\u3089\u3044\u5909\u5316\u3057\u305f\u304b$\\Delta E$\u3092\u6c42\u3081\u308b\u3002<\/p>\n\n\n\n
3. $\\Delta E$ \u2266 0\u306a\u3089\u5024\u3092\u53d7\u7406\u3057\u3001$\\Delta E$ \uff1e 0\u306a\u3089\u78ba\u7387$\ud835\udc43=e^{-\u2061\\beta \\Delta E}$\u3067\u53d7\u7406\u3059\u308b\u3002<\/p>\n\n\n\n
4. \u53d7\u7406\u3055\u308c\u308b\u3068\u304d\u306f\u3001\u30b9\u30d4\u30f3\u3092\u53cd\u8ee2\u3055\u305b\u3066\u3001\u305d\u3046\u3067\u306a\u3044\u306a\u3089\u305d\u306e\u307e\u307e\u306b\u3059\u308b\u3002<\/p>\n\n\n\n
5. 1.\uff5e4.\u3092\u7e70\u308a\u8fd4\u3059\u3002<\/p>\n\n\n\n
\u6b21\u306e\u30bb\u30af\u30b7\u30e7\u30f3\u3067\u306f\u3001\u4eca\u56de\u306e\u5b9f\u9a13\u3067\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0(QA)\u306e\u4ee3\u308f\u308a\u306b\u7528\u3044\u305f\u30b7\u30df\u30e5\u30ec\u30fc\u30c6\u30c3\u30c9\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0(SQA)\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002<\/p>\n\n\n\n
<\/span>\u30b7\u30df\u30e5\u30ec\u30fc\u30c6\u30c3\u30c9\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0(SQA)<\/span><\/h3>\n\n\n\n\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0(QA)\u3067\u306f\u3001\u6a2a\u78c1\u5834\u3092\u304b\u3051\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u751f\u307e\u308c\u308b\u91cf\u5b50\u30c8\u30f3\u30cd\u30eb\u52b9\u679c\u3067\u57fa\u5e95\u72b6\u614b(\u6700\u9069\u89e3)\u3092\u63a2\u7d22\u3057\u307e\u3059\u3002SQA\u3067\u306f\u3001\u30b9\u30d4\u30f3\u306e\u30ec\u30d7\u30ea\u30ab\u3092\u3044\u304f\u3064\u304b\u7528\u610f\u3057\u3066\u3001\u91cf\u5b50\u30c8\u30f3\u30cd\u30eb\u52b9\u679c\u3092\u53e4\u5178\u7684\u306a\u71b1\u63fa\u3089\u304e\u306b\u7f6e\u304d\u63db\u3048\u3066QA\u306e\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u3092\u3057\u307e\u3059\u3002\u5177\u4f53\u7684\u306b\u306f\u3001\u5f0f(4)\u306e\u3088\u3046\u306bH\u306e\u5024\u304c\u6700\u5c0f\u306b\u306a\u308b\u3088\u3046\u306b\u52d5\u4f5c\u3057\u307e\u3059\u3002$m$\u306f\u30c8\u30ed\u30c3\u30bf\u30fc\u3068\u547c\u3070\u308c\u308b\u3001\u30b9\u30d4\u30f3\u306e\u30ec\u30d7\u30ea\u30ab\u306e\u6570\u3067\u3001$\\Gamma$\u304c\u6a2a\u78c1\u5834\u306e\u5f37\u5ea6\u3092\u8868\u3057\u307e\u3059\u3002<\/p>\n\n\n\n
$$H = -\\frac{\\beta}{m} \\sum_l^m (\\sum_i h_{i,l} \\cdot x_{i,l} – \\sum_{i,j} J_{ij, l} \\cdot x_{i, l} \\cdot x_{j, l}) -\\frac{1}{2} \\log \\tanh (\\frac{\\beta \\Gamma}{m}) \\sum_l^m \\sum_i x_{i,l} \\cdot x_{i, l+1} \\tag{4}$$<\/p>\n\n\n\n
\u5f0f(4)\u306e\u7b2c1\u9805\u76ee\u306f$m$\u500b\u306e\u30ec\u30d7\u30ea\u30ab\u306e\u3059\u3079\u3066\u30a8\u30cd\u30eb\u30ae\u30fc\u3092\u8a08\u7b97\u3057\u3066\u5e73\u5747\u3092\u53d6\u3063\u305f\u5024\u3092\u8868\u3057\u3001\u7b2c2\u9805\u306f\u6a2a\u78c1\u5834$\\Gamma$\u306e\u5f37\u5ea6\u306b\u5fdc\u3058\u3066\u3001\u96a3\u63a5\u3059\u308b\u30ec\u30d7\u30ea\u30ab\u540c\u58eb\u306e\u5f71\u97ff\u529b\u304c\u5909\u308f\u308a\u307e\u3059\u3002\u3082\u3057\u6a2a\u78c1\u5834$\\Gamma$\u304c\u5f37\u304b\u3063\u305f\u3089\u3001$\\tanh$\u95a2\u6570\u306e\u5024\u306f1\u306b\u8fd1\u3065\u304d\u3001$\\log$\u95a2\u6570\u306e\u5024\u306f0\u306b\u8fd1\u3065\u304d\u307e\u3059\u3002\u305d\u306e\u7d50\u679c\u3001\u30ec\u30d7\u30ea\u30ab\u540c\u58eb\u306e\u5024\u304c\u53cd\u8ee2\u3057\u3066\u3044\u3066\u3082\u3001\u7b2c2\u9805\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u5909\u5316\u91cf\u306f\u3042\u307e\u308a\u5909\u5316\u3057\u306a\u304f\u3001\u3055\u307e\u3056\u307e\u306a\u30b9\u30d4\u30f3\u306e\u72b6\u614b\u3092\u53d6\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u305d\u306e\u5f8c\u3001\u3060\u3093\u3060\u3093\u6a2a\u78c1\u5834$\\Gamma$\u3092\u5f31\u3081\u3066\u3044\u304f\u3068\u3001\u4fc2\u6570\u306e\u5024\u304c\u5927\u304d\u304f\u306a\u308a\u3001$H$\u3092\u6700\u5c0f\u306b\u3057\u3088\u3046\u3068\u3001\u96a3\u63a5\u3059\u308b\u30ec\u30d7\u30ea\u30ab\u540c\u58eb\u306e\u30b9\u30d4\u30f3\u306e\u5024\u3092\u540c\u3058\u306b\u3057\u3088\u3046\u3068\u4f5c\u7528\u3057\u307e\u3059\u3002\u7d50\u679c\u3068\u3057\u3066\u3001\u30b9\u30d4\u30f3\u306e\u72b6\u614b\u304c1\u3064\u306b\u6c7a\u307e\u308a\u3001\u57fa\u5e95\u72b6\u614b(\u6700\u9069\u89e3)\u3092\u898b\u3064\u3051\u308b\u3053\u3068\u304c\u53ef\u80fd\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n
\u7d9a\u3044\u3066\u306e\u30bb\u30af\u30b7\u30e7\u30f3\u3067\u306f\u3001\u30e1\u30c8\u30ed\u30dd\u30ea\u30b9\u6cd5\u3067\u3082\u3068\u3081\u305f\u30dc\u30eb\u30c4\u30de\u30f3\u5206\u5e03\u3068SQA\u306e\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u304b\u3089\u5f97\u3089\u308c\u305f\u5206\u5e03\u304c\u3069\u306e\u304f\u3089\u3044\u8fd1\u3044\u306e\u304b\u8a55\u4fa1\u3059\u308b\u305f\u3081\u306b\u3001KL\u30c0\u30a4\u30d0\u30fc\u30b8\u30a7\u30f3\u30b9\u3068\u3044\u3046\u6307\u6a19\u3092\u7d39\u4ecb\u3057\u307e\u3059\u3002<\/p>\n\n\n\n
<\/span>KL\u30c0\u30a4\u30d0\u30fc\u30b8\u30a7\u30f3\u30b9<\/span><\/h3>\n\n\n\n\u4eca\u56de\u306e\u5b9f\u9a13\u3067\u306f\u3001\u30e1\u30c8\u30ed\u30dd\u30ea\u30b9\u6cd5\u3067\u4f5c\u3063\u305f\u30dc\u30eb\u30c4\u30de\u30f3\u5206\u5e03\u3068SQA\u304b\u3089\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u3057\u305f\u5206\u5e03\u306e2\u3064\u306e\u78ba\u7387\u5206\u5e03\u304c\u3069\u306e\u304f\u3089\u3044\u8fd1\u3044\u304b\u8a55\u4fa1\u3057\u307e\u3059\u3002\u3053\u306e2\u3064\u306e\u78ba\u7387\u5206\u5e03\u306e\u8fd1\u3055\u3092\u8a55\u4fa1\u3059\u308b\u6307\u6a19\u3068\u3057\u3066\u3001KL\u30c0\u30a4\u30d0\u30fc\u30b8\u30a7\u30f3\u30b9\u3092\u4f7f\u3044\u307e\u3059(\u5f0f(5))\u3002<\/p>\n\n\n\n
$$D_{KL}(P||Q) = \\sum_i p(x_i) \\log \\frac{p(x_i)}{q(x_i)} \\tag{5}$$<\/p>\n\n\n\n
$p(x_i)$\u3068$q(x_i)$\u306f\u3001\u78ba\u7387\u5206\u5e03P\u3068Q\u306b\u305d\u308c\u305e\u308c\u5f93\u3046\u4efb\u610f\u306e\u5024\u306e\u751f\u8d77\u78ba\u7387\u3067\u3059\u3002\u5206\u5e03\u304c\u8fd1\u3044\u307b\u3069\u30010\u306b\u8fd1\u3065\u304d\u307e\u3059\u3002<\/p>\n\n\n\n
\u6700\u5f8c\u306b\u3001\u30dc\u30eb\u30c4\u30de\u30f3\u5206\u5e03\u3092\u56f3\u306b\u8868\u793a\u3059\u308b\u3068\u304d\u3001\u901a\u5e38\u306f\u6a2a\u8ef8\u3092\u30a8\u30cd\u30eb\u30ae\u30fc\u5024\u3068\u3057\u307e\u3059\u304c\u3001\u6b21\u306e\u30bb\u30af\u30b7\u30e7\u30f3\u3067\u306f\u3001\u5225\u306e\u65b9\u6cd5\u3067\u3042\u308b\u78c1\u5316\u3068\u30aa\u30fc\u30d0\u30fc\u30e9\u30c3\u30d7\u3092\u8aac\u660e\u3057\u307e\u3059\u3002<\/p>\n\n\n\n
<\/span>\u78c1\u5316<\/span><\/h3>\n\n\n\n\u78c1\u5316\u3092\u3082\u3068\u3081\u308b\u3053\u3068\u3067\u3001\u30b9\u30d4\u30f3\u5168\u4f53\u3067\u3069\u3061\u3089\u306e\u5411\u304d\u306b\u63c3\u3063\u3066\u3044\u308b\u304b\u3092\u307f\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u78c1\u5316$m$\u306f\u3042\u308b\u30b9\u30d4\u30f3\u72b6\u614b\u306e\u7dcf\u548c\u3092\u72b6\u614b\u306e\u5927\u304d\u3055(N)\u3067\u5272\u3063\u305f\u5024\u3067\u3059(\u5f0f(6))\u3002<\/p>\n\n\n\n
$$m = \\frac{1}{N} \\sum_{i=1}^N \\sigma_i \\tag{6}$$<\/p>\n\n\n\n
$m$\u304c0\u3088\u308a\u5927\u304d\u3051\u308c\u3070+1\u306b\u78c1\u5316\u3092\u5e2f\u3073\u3066\u3044\u3066\u30010\u3088\u308a\u5c0f\u3055\u3051\u308c\u3070\u3001-1\u306b\u78c1\u5316\u3092\u5e2f\u3073\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n
<\/span>\u30aa\u30fc\u30d0\u30fc\u30e9\u30c3\u30d7<\/span><\/h3>\n\n\n\n\u4e00\u65b9\u3067\u3001\u30aa\u30fc\u30d0\u30fc\u30e9\u30c3\u30d7\u306f\u78c1\u6027\u4f53\u306e\u30b9\u30d4\u30f3\u304c\u8907\u96d1\u306a\u307e\u307e\u56fa\u307e\u3063\u305f\u30b9\u30d4\u30f3\u30b0\u30e9\u30b9\u3068\u547c\u3070\u308c\u308b\u7269\u8cea\u3092\u8a55\u4fa1\u3059\u308b\u6642\u306b\u3088\u304f\u7528\u3044\u3089\u308c\u308b\u6307\u6a19\u3067\u3059\u3002\u30aa\u30fc\u30d0\u30fc\u30e9\u30c3\u30d7\u3092\u3082\u3068\u3081\u308b\u3053\u3068\u3067\u3001\u30b9\u30d4\u30f3\u306e\u5411\u304d\u304c\u7279\u5b9a\u306e\u5411\u304d\u306b\u56fa\u307e\u3063\u3066\u3044\u308b\u304b\u3069\u3046\u304b\u3092\u8abf\u3079\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u30aa\u30fc\u30d0\u30fc\u30e9\u30c3\u30d7$q$\u306f\u30012\u3064\u306e\u30b9\u30d4\u30f3\u72b6\u614b$\\vec{\\sigma}\u3068\\vec{\\tau}$\u306e\u5185\u7a4d\u3092\u53d6\u308a\u3001\u72b6\u614b\u306e\u5927\u304d\u3055N\u3067\u5272\u3063\u305f\u5024\u3067\u3059\u3002(\u5f0f(7))<\/p>\n\n\n\n
$$q = \\frac{\\vec{\\sigma}^T \\cdot \\vec{\\tau}}{N} \\tag{7}$$<\/p>\n\n\n\n
$q$\u306e\u5024\u306b\u3088\u3063\u3066\u6b21\u306e\u3088\u3046\u306a\u3053\u3068\u304c\u8a00\u3048\u307e\u3059\u3002<\/p>\n\n\n\n
\n- $q$ = 1\uff1a\u5404\u7d44\u306e\u30b9\u30d4\u30f3\u304c\u4e00\u81f4\u3059\u308b<\/li>\n<\/ul>\n\n\n\n
\n- $q$ = -1\uff1a\u5404\u7d44\u306e\u30b9\u30d4\u30f3\u304c\u3059\u3079\u3066\u53cd\u8ee2\u3057\u3066\u3044\u308b<\/li>\n<\/ul>\n\n\n\n
\n- $q$ = 0\uff1a\u5404\u7d44\u306e\u30b9\u30d4\u30f3\u306f\u7121\u95a2\u4fc2<\/li>\n<\/ul>\n\n\n\n
<\/span>\u5b9f\u9a13\u65b9\u6cd5<\/span><\/h2>\n\n\n\n\u30b5\u30a4\u30baN=32\u306e\u30a4\u30b8\u30f3\u30b0\u554f\u984c\u3092\u89e3\u304f\u3053\u3068\u3092\u8003\u3048\u307e\u3059\u3002\u305f\u3060\u3057\u3001\u554f\u984c\u3092\u7c21\u5358\u306b\u3059\u308b\u305f\u3081\u3001\u5f0f(1)\u306b\u3064\u3044\u3066\u5916\u90e8\u78c1\u5834$h$\u30920\u306b\u3057\u307e\u3059\u3002\u4fc2\u6570$J$\u306e\u5024\u306f\u3001$N(0, 1)$\u306b\u5f93\u3046\u4e71\u6570\u3067\u8a2d\u5b9a\u3057\u307e\u3059\u3002<\/p>\n\n\n\n
<\/span>\u5b9f\u9a131<\/span><\/h3>\n\n\n\n\u672c\u6765\u3001QA\u3067\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u3059\u308b\u3068\u304d\u3001\u9006\u6e29\u5ea6$\\beta$\u306e\u5024\u306f\u4e0d\u660e\u3067\u3059\u3002\u305d\u3053\u3067\u3001\u3069\u306e\u9006\u6e29\u5ea6\u306e\u6642\u3001\u30dc\u30eb\u30c4\u30de\u30f3\u5206\u5e03\u306fSQA\u306e\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u5206\u5e03\u306b\u4e00\u81f4\u3059\u308b\u306e\u304b\u78ba\u304b\u3081\u307e\u3059\u3002<\/p>\n\n\n\n
\u307e\u305a\u3001\u30a4\u30b8\u30f3\u30b0\u554f\u984c\u3092\u30e1\u30c8\u30ed\u30dd\u30ea\u30b9\u6cd5\u3067\u89e3\u3044\u305f\u5834\u5408\u3068\u3001SQA\u3067\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u3057\u305f\u5834\u5408\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u5206\u5e03\u3092\u4f5c\u6210\u3057\u307e\u3059\u3002\u30dc\u30eb\u30c4\u30de\u30f3\u5206\u5e03\u306e\u9006\u6e29\u5ea6\u3092\u8abf\u7bc0\u3057\u3066\u3001SQA\u306e\u5206\u5e03\u3068\u306eKL\u30c0\u30a4\u30d0\u30fc\u30b8\u30a7\u30f3\u30b9\u304c\u6700\u5c0f\u306b\u306a\u308b\u4f4d\u7f6e\u3092\u3082\u3068\u3081\u307e\u3059\u3002<\/p>\n\n\n\n
<\/p>\n\n\n\n
\u88681 \u30d1\u30e9\u30e1\u30fc\u30bf\u8a2d\u5b9a<\/p>\n\n\n
\n
![\"\"](\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2026\/03\/image_set.png\")
<\/figure>\n<\/div>\n\n\n<\/p>\n\n\n\n
\u6b21\u306b\u30012\u3064\u306e\u5206\u5e03\u304c\u91cd\u306a\u308b\u9006\u6e29\u5ea6\u3092\u56fa\u5b9a\u3057\u3001\u78c1\u5316$m$\u309210,000\u30b5\u30f3\u30d7\u30eb\u5206\u3082\u3068\u3081\u3066\u305d\u306e\u5206\u5e03\u3092\u30b0\u30e9\u30d5\u306b\u63cf\u5199\u3057\u307e\u3059\u3002\u3055\u3089\u306b\u300110,000\u30b5\u30f3\u30d7\u30eb\u3092\u524d\u534a5,000\u3068\u5f8c\u534a5,000\u306e\uff12\u30b0\u30eb\u30fc\u30d7\u306b\u5206\u3051\u3066\u3001\u5404\u30b0\u30eb\u30fc\u30d7\u306e\u5148\u982d\u304b\u30891\u7d44\u305a\u3064\u30aa\u30fc\u30d0\u30fc\u30e9\u30c3\u30d7$q$\u3092\u3082\u3068\u3081\u3066$q$\u306e\u5206\u5e03\u3092\u30b0\u30e9\u30d5\u306b\u63cf\u5199\u3057\u307e\u3059\u3002<\/p>\n\n\n\n
<\/span>\u5b9f\u9a132<\/span><\/h3>\n\n\n\n\u672c\u6765\u3001QA\u306e\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u5206\u5e03$P_{qa}(\\vec{\\sigma})$\u306b\u91cd\u306a\u308b\u3088\u3046\u306b\u9006\u6e29\u5ea6\u304c\u8abf\u7bc0\u3055\u308c\u305f\u30dc\u30eb\u30c4\u30de\u30f3\u5206\u5e03\u3067\u306f\u3001$J$\u3092$\\frac{J}{\\beta_{mc}}$\u3068\u7f6e\u304d\u3001\u6539\u3081\u3066QA\u3067\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u3059\u308b\u3068\u3001\u5206\u5e03\u306f$\\beta=1.0$\u306e\u30dc\u30eb\u30c4\u30de\u30f3\u5206\u5e03$P_{mc}(\\vec{\\sigma} | \\beta = 1.0)$\u306b\u306a\u308b\u3068\u8003\u3048\u3089\u308c\u307e\u3059\u3002<\/p>\n\n\n\n
$$ \\begin{align*}P_{qa}(\\vec{\\sigma}) &= \\frac{1}{Z} \\exp (- \\beta_{qa} \\sum_{i<j} \\frac{J_{ij}}{\\beta_{mc}} \\sigma_i \\sigma_j)\\\\ &\\simeq \\frac{1}{Z} \\exp (- \\sum_{i<j} J_{ij} \\sigma_i \\sigma_j)\\\\ &= P_{mc}(\\vec{\\sigma} | \\beta = 1.0) \\tag{8} \\end{align*}$$<\/p>\n\n\n\n
\u305d\u3053\u3067\u3001$J$\u3092\u9006\u6e29\u5ea6$\\beta_{mc}$\u3067\u5272\u3063\u305f$\\frac{J}{\\beta_{mc}}$\u3092SQA\u3067\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u3057\u3001\u5206\u5e03\u304c$\\beta = 1.0$\u306e\u30dc\u30eb\u30c4\u30de\u30f3\u5206\u5e03\u3068\u4e00\u81f4\u3059\u308b\u304b\u5b9f\u9a13\u3057\u307e\u3059\u3002<\/p>\n\n\n\n
<\/span>\u5b9f\u9a133<\/span><\/h3>\n\n\n\n\u5b9f\u969b\u306b\u5236\u9650\u4ed8\u304d\u30dc\u30eb\u30c4\u30de\u30f3\u30de\u30b7\u30f3(RBM)\u306e\u5b66\u7fd2\u306b\u3001SQA\u306e\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u3068\u30e1\u30c8\u30ed\u30dd\u30ea\u30b9\u6cd5\u306b\u3088\u308b\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u3092\u7528\u3044\u3066\u30012\u3064\u306e\u5b66\u7fd2\u5668\u306e\u6027\u80fd\u3068\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u5206\u5e03\u306e\u69d8\u5b50\u3092\u307f\u307e\u3059\u3002\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306b\u306f\u3001\u624b\u66f8\u304d\u6570\u5b57\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8(MNIST)\u3092\u7528\u3044\u3066\u3001\u8a73\u7d30\u306a\u30d1\u30e9\u30e1\u30fc\u30bf\u3068\u554f\u984c\u8a2d\u5b9a\u306f\u88682\u306e\u3088\u3046\u306b\u3057\u307e\u3057\u305f\u3002<\/p>\n\n\n\n
<\/p>\n\n\n\n
\u88682 RBM\u306e\u30d1\u30e9\u30e1\u30fc\u30bf\u8a2d\u5b9a<\/p>\n\n\n
\n
![\"\"](\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2026\/03\/image_set2-1024x77.png\")
<\/figure>\n<\/div>\n\n\n<\/p>\n\n\n\n
\u307e\u305a\u30012\u3064\u306e\u8a13\u7df4\u30c7\u30fc\u30bf\u3067\u5b66\u7fd2\u3055\u308c\u305f\u5b66\u7fd2\u5668\u306b\u30c6\u30b9\u30c8\u30c7\u30fc\u30bf\u3092\u5165\u529b\u3057\u3001\u51fa\u529b\u3067\u753b\u50cf\u3092\u518d\u69cb\u6210\u3057\u3066\u3044\u308b\u304b2\u4e57\u5e73\u5747\u8aa4\u5dee(MSE)\u3067\u8a55\u4fa1\u3057\u307e\u3059\u3002\u6b21\u306b\u3001\u5b66\u7fd2\u5f8c\u306e\u30d1\u30e9\u30e1\u30fc\u30bf(\u91cd\u307f$W$\u3001\u30d0\u30a4\u30a2\u30b9$b$\u3001$c$)\u3092\u4f7f\u3063\u3066\u6539\u3081\u3066\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u3092\u884c\u3044\u3001\u3069\u306e\u3088\u3046\u306a\u5206\u5e03\u306e\u95a2\u4fc2\u306b\u306a\u308b\u304b\u6bd4\u8f03\u3057\u307e\u3059\u3002<\/p>\n\n\n\n
<\/span>\u7d50\u679c<\/span><\/h2>\n\n\n\n<\/span>\u7d50\u679c1<\/span><\/h3>\n\n\n\n\u307e\u305a\u3001KL\u30c0\u30a4\u30d0\u30fc\u30b8\u30a7\u30f3\u30b9\u304c\u6700\u5c0f\u3068\u306a\u308b\u3088\u3046\u306a\u30dc\u30eb\u30c4\u30de\u30f3\u5206\u5e03\u3068SQA\u306e\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u5206\u5e03\u306f\u56f31\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u305f\u3002<\/p>\n\n\n
\n
![\"\"](\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2026\/03\/41cfdfc71c3c7a50c28b8b090219e393.png\")
<\/figure>\n<\/div>\n\n\n\u56f31 \u30dc\u30eb\u30c4\u30de\u30f3\u5206\u5e03\u3068SQA\u306e\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u5206\u5e03<\/p>\n\n\n\n
KL\u30c0\u30a4\u30d0\u30fc\u30b8\u30a7\u30f3\u30b9\u306e\u5024\u306f0.05\u3067\u5206\u5e03\u304c\u4f3c\u3066\u3044\u308b\u69d8\u5b50\u304c\u308f\u304b\u308a\u307e\u3059\u3002\u3053\u306e\u6642\u306e\u30dc\u30eb\u30c4\u30de\u30f3\u5206\u5e03\u306e\u9006\u6e29\u5ea6\u306f$\\beta_{mc} = 2.0$\u3067\u3057\u305f\u3002<\/p>\n\n\n\n
\u6b21\u306b\u3001\u30dc\u30eb\u30c4\u30de\u30f3\u5206\u5e03\u306e\u9006\u6e29\u5ea6\u3092$\\beta_{mc} = 2.0$\u306b\u56fa\u5b9a\u3057\u3066\u3001\u305d\u308c\u305e\u308c\u306e\u78c1\u5316\u306e\u5206\u5e03\u3092\u63cf\u5199\u3059\u308b\u3068\u56f32\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u305f\u3002KL\u30c0\u30a4\u30d0\u30fc\u30b8\u30a7\u30f3\u30b9\u306e\u5024\u306f0.01\u3067\u5206\u5e03\u304c\u4f3c\u3066\u304a\u308a\u3001+\u5074\u3068-\u5074\u306b\u5747\u7b49\u306b\u5206\u5e03\u3057\u3066\u3044\u308b\u69d8\u5b50\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n\n\n
\n
![\"\"](\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2026\/03\/46ef056df45aea6b7545504d5b60261f.png\")
<\/figure>\n<\/div>\n\n\n\u56f32 \u78c1\u5316\u306e\u5206\u5e03<\/p>\n\n\n\n
\u7d9a\u3044\u3066\u3001\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u657010,000\u306e\u5185\u3001\u524d\u534a5,000\u3068\u5f8c\u534a5,000\u306b\u5206\u3051\u3066\u3001\u30da\u30a2\u3092\u4f5c\u308a\u3001\u30aa\u30fc\u30d0\u30fc\u30e9\u30c3\u30d7$q$\u3092\u6c42\u3081\u3066\u30b0\u30e9\u30d5\u306b\u63cf\u5199\u3059\u308b\u3068\u56f33\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u305f\u3002\u30dc\u30eb\u30c4\u30de\u30f3\u5206\u5e03\u306f\u3001$q = -0.8, -0.8$\u3042\u305f\u308a\u3067\u5c71\u304c\u3067\u304d\u3066\u3044\u307e\u3059\u304c\u3001SQA\u306e\u5206\u5e03\u306f$q = -0.7\uff5e0.7$\u3067\u4e00\u69d8\u3067\u3059\u3002KL\u30c0\u30a4\u30d0\u30fc\u30b8\u30a7\u30f3\u30b9\u306e\u5024\u304b\u3089\u3082\u5206\u5e03\u304c\u4f3c\u3066\u3044\u306a\u3044\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n\n\n
\n
![\"\"](\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2026\/03\/e0fa6cd334101878097f56088e96b5aa.png\")
<\/figure>\n<\/div>\n\n\n\u56f33 \u30aa\u30fc\u30d0\u30fc\u30e9\u30c3\u30d7\u306e\u5206\u5e03<\/p>\n\n\n\n
<\/span>\u7d50\u679c2<\/span><\/h3>\n\n\n\n$J$\u3092$\\frac{J}{\\beta_{mc}}$\u3068\u7f6e\u304d\u3001SQA\u3067\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u3057\u305f\u6642\u306e\u5206\u5e03\u306f\u56f34\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u305f\u3002SQA\u306e\u5206\u5e03\u306f$\\beta = 1.0$\u306e\u30dc\u30eb\u30c4\u30de\u30f3\u5206\u5e03\u3068\u6bd4\u3079\u3066\u3001\u5c71\u306a\u308a\u304c\u92ed\u304f\u306a\u308a\u3001\u30a8\u30cd\u30eb\u30ae\u30fc\u5206\u5e03\u306f\u53f3\u5074\u306b\u5bc4\u3063\u3066\u3044\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n\n\n
\n
![\"\"](\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2026\/03\/7dac1b442352b5603b489d32f0c9de3b.png\")
<\/figure>\n<\/div>\n\n\n\u56f34 \u5b9f\u9a132\u306b\u304a\u3051\u308b\u30dc\u30eb\u30c4\u30de\u30f3\u5206\u5e03\u3068SQA\u5206\u5e03<\/p>\n\n\n\n
\u307e\u305f\u3001KL\u30c0\u30a4\u30d0\u30fc\u30b8\u30a7\u30f3\u30b9\u304c\u6700\u5c0f\u306b\u306a\u308b\u7b87\u6240\u3067\u30dc\u30eb\u30c4\u30de\u30f3\u5206\u5e03\u306e\u9006\u6e29\u5ea6\u3092\u8abf\u7bc0\u3059\u308b\u3068$\\beta = 1.6$\u3068\u306a\u308a\u307e\u3057\u305f\u3002<\/p>\n\n\n
\n
![\"\"](\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2026\/03\/41ede3a7e173c05029b23b24c5fb5185.png\")
<\/figure>\n<\/div>\n\n\n\u56f35 \u88dc\u6b63\u3057\u305fSQA\u5206\u5e03<\/p>\n\n\n\n
<\/span>\u7d50\u679c3<\/span><\/h3>\n\n\n\n\u56f36\u306f\u30e1\u30c8\u30ed\u30dd\u30ea\u30b9\u6cd5\u306e\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u3067\u5b66\u7fd2\u3057\u305fRBM(MCMC-RBM)\u3068SQA\u306e\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u3067\u5b66\u7fd2\u3057\u305fRBM(SQA-RBM)\u306e\u30a8\u30dd\u30c3\u30af\u6bce\u306e\u640d\u5931\u8aa4\u5dee\u306e\u5909\u5316\u3092\u8868\u3057\u307e\u3059\u3002\u8a13\u7df4\u30c7\u30fc\u30bf\u306b\u3088\u308b\u5b66\u7fd2\u3067\u306fSQA\u306e\u65b9\u304c\u640d\u5931\u304c\u5c0f\u3055\u3044\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002\u307e\u305f\u3001\u5b9f\u884c\u6642\u9593\u306b\u95a2\u3057\u3066\u306f\u3001MCMC-RBM\u30678\u79d2\u3001SQA-RBM\u30671\u6642\u959344\u520635\u79d2\u304b\u304b\u308a\u3001SQA\u306b\u3088\u308b\u5b66\u7fd2\u306f\u6642\u9593\u304c\u304b\u304b\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3057\u305f\u3002<\/p>\n\n\n
\n
![\"\"](\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2026\/03\/image_loss-1024x339.png\")
<\/figure>\n<\/div>\n\n\n\u56f36 \u30a8\u30dd\u30c3\u30af\u6bce\u306e\u640d\u5931\u8aa4\u5dee<\/p>\n\n\n\n
\u6b21\u306b\u5b66\u7fd2\u5668\u306b\u30c6\u30b9\u30c8\u30c7\u30fc\u30bf\u3092\u5165\u529b\u3057\u3001\u51fa\u529b\u3067\u753b\u50cf\u518d\u69cb\u6210\u3057\u3066MSE\u3067\u8a55\u4fa1\u3057\u305f\u7d50\u679c\u304c\u56f37\u306b\u306a\u308a\u307e\u3059\u3002MCMC-RBM\u306f\u3046\u307e\u304f\u753b\u50cf\u518d\u69cb\u6210\u304c\u3067\u304d\u3066\u3044\u308b\u69d8\u5b50\u304c\u307f\u308c\u307e\u3059\u304c\u3001SQA-RBM\u306f\u753b\u50cf\u304c\u3069\u308c\u3082\u4f3c\u305f\u3088\u3046\u306a\u3082\u306e\u306b\u306a\u3063\u3066\u3057\u307e\u3063\u3066\u3044\u307e\u3059\u3002\u30c6\u30b9\u30c8\u30c7\u30fc\u30bf\u306b\u3088\u308bMSE\u306f\u3001MCMC-RBM\u306e\u65b9\u304c\u826f\u3044\u3067\u3059\u3002<\/p>\n\n\n
\n
![\"\"](\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2026\/03\/357e926d0054a63009ce04c56f822d21-1024x454.png\")
<\/figure>\n<\/div>\n\n\n\u56f37 \u30c6\u30b9\u30c8\u30c7\u30fc\u30bf\u306e\u753b\u50cf\u518d\u69cb\u6210<\/p>\n\n\n\n
\u3055\u3089\u306b\u3001\u5b66\u7fd2\u3057\u305f\u5f8c\u306e\u5b66\u7fd2\u5668\u306e\u30d1\u30e9\u30e1\u30fc\u30bf(\u91cd\u307f$W$\u3001\u30d0\u30a4\u30a2\u30b9$b$\u3001$c$)\u3092\u4f7f\u3063\u3066\u3001\u6539\u3081\u3066\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u3057\u305f\u7d50\u679c\u304c\u56f38\u306b\u306a\u308a\u307e\u3059\u3002SQA\u306e\u5206\u5e03\u306f\u4f4e\u30a8\u30cd\u30eb\u30ae\u30fc\u5e2f\u3067\u5c71\u304c\u5de6\u5074\u306b\u504f\u3063\u3066\u5206\u5e03\u3057\u3066\u304a\u308a\u3001MCMC-RBM\u306e\u65b9\u306e\u5206\u5e03\u306f\u9ad8\u30a8\u30cd\u30eb\u30ae\u30fc\u5e2f\u3067\u5c71\u304c\u5bfe\u79f0\u306a\u5206\u5e03\u3092\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n
\n
![\"\"](\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2026\/03\/image_dist.png\")
<\/figure>\n<\/div>\n\n\n\u56f38 \u5b66\u7fd2\u5f8c\u306e\u30d1\u30e9\u30e1\u30fc\u30bf\u3067\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u3057\u305f\u6642\u306e\u5206\u5e03<\/p>\n\n\n\n
\u3053\u3053\u3067\u3001SQA\u5206\u5e03\u306e\u9006\u6e29\u5ea6$\\beta$\u3092\u8abf\u7bc0\u3057\u3066MCMC-RBM\u306e\u5206\u5e03\u3068\u91cd\u306a\u308b\u7b87\u6240\u3092\u63a2\u3057\u307e\u3057\u305f\u3002\u7d50\u679c\u306f\u56f39\u306e\u3088\u3046\u306b$\\beta = 2.3$\u306eKL\u30c0\u30a4\u30d0\u30fc\u30b8\u30a7\u30f3\u30b9\u306e\u5024\u304c\u6700\u3082\u5c0f\u3055\u304f\u306a\u308a\u307e\u3057\u305f\u3002<\/p>\n\n\n
\n
![\"\"](\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2026\/03\/image_dist2.png\")
<\/figure>\n<\/div>\n\n\n\u56f39 \u30dc\u30eb\u30c4\u30de\u30f3\u5206\u5e03\u306b\u91cd\u306a\u308bSQA\u306e\u5206\u5e03<\/p>\n\n\n\n
\u305d\u3053\u3067\u3001\u6539\u3081\u3066SQA\u306e\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u306e\u9006\u6e29\u5ea6\u3092$\\beta = 2.3$\u306b\u8a2d\u5b9a\u3057\u3001\u305d\u306e\u4ed6\u306e\u30d1\u30e9\u30e1\u30fc\u30bf\u306f\u88682\u3068\u540c\u3058\u306b\u3057\u3066RBM\u3092\u5b66\u7fd2\u3055\u305b\u307e\u3057\u305f\u3002\u305d\u306e\u6642\u306e\u30a8\u30dd\u30c3\u30af\u6bce\u306e\u640d\u5931\u8aa4\u5dee\u306e\u5909\u5316\u306f\u56f310\u306e\u3088\u3046\u306b\u306a\u308a\u3001\u5b66\u7fd2\u5f8c\u306e\u30c6\u30b9\u30c8\u30c7\u30fc\u30bf\u306b\u3088\u308b\u753b\u50cf\u518d\u69cb\u6210\u306f\u56f311\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u305f\u3002MSE\u306e\u5024\u306f0.072\u3067\u56f37\u306eMCMC-RBM\u306e\u7d50\u679c\u3068\u4e00\u81f4\u3057\u3066\u3044\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n\n\n
\n
![\"\"](\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2026\/03\/image_loss2.png\")
<\/figure>\n<\/div>\n\n\n\u56f310 $\\beta = 2.3$\u306eSQA-RBM\u306e\u640d\u5931\u8aa4\u5dee<\/p>\n\n\n\n
<\/p>\n\n\n
\n
![\"\"](\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2026\/03\/image_result.png\")
<\/figure>\n<\/div>\n\n\n\u56f311 $\\beta = 2.3$\u306eSQA-RBM\u306e\u753b\u50cf\u518d\u69cb\u6210<\/p>\n\n\n\n
<\/p>\n\n\n\n
\n- <\/li>\n<\/ul>\n\n\n\n
<\/span>\u8003\u5bdf<\/span><\/h2>\n\n\n\n\u5b9f\u9a131\u306e\u30aa\u30fc\u30d0\u30fc\u30e9\u30c3\u30d7\u306b\u9055\u3044\u304c\u898b\u3089\u308c\u305f\u3053\u3068\u306b\u3064\u3044\u3066\u3001\u307e\u305aSQA\u306f\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u3059\u308b\u6bce\u306b\u521d\u671f\u72b6\u614b\u304b\u3089\u72ec\u7acb\u3057\u3066\u63a2\u7d22\u3059\u308b\u306e\u3067\u3001\u524d\u534a5,000\u500b\u3068\u5f8c\u534a5,000\u500b\u306b\u76f8\u95a2\u304c\u306a\u3044\u3001\u7121\u95a2\u4fc2\u306a\u5024\u306b\u306a\u3063\u305f\u3068\u601d\u308f\u308c\u307e\u3059\u3002 \u4e00\u65b9\u3067\u3001MCMC\u306f\u4e00\u3064\u306e\u521d\u671f\u72b6\u614b\u304b\u3089\u5c11\u3057\u305a\u3064\u5024\u3092\u66f4\u65b0\u3057\u306a\u304c\u3089\u63a2\u7d22\u3057\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u4e00\u5ea6\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u8c37\u3092\u898b\u3064\u3051\u308b\u3068\u306a\u304b\u306a\u304b\u66f4\u65b0\u3055\u308c\u307e\u305b\u3093\u3002\u307e\u305f\u5f0f(9)\u3088\u308a\u3001\u305d\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u30b9\u30d4\u30f3\u72b6\u614b\u306b\u306f\u53cd\u8ee2\u3055\u305b\u305f\u72b6\u614b\u3092\u5408\u308f\u305b\u30662\u901a\u308a\u306e\u30d1\u30bf\u30fc\u30f3\u304c\u3042\u308b\u306e\u3067\u53cc\u5bfe\u306e\u5c71\u304c\u307f\u3089\u308c\u305f\u3068\u8003\u3048\u307e\u3057\u305f\u3002<\/p>\n\n\n\n
$$ \\begin{align} H(\\vec{\\sigma}) &= \\sum_{i<j} J_{ij} \\cdot (-\\sigma_i) \\cdot (-\\sigma_j)\\\\ &= \\sum_{i<j} J_{ij} \\cdot \\sigma_i \\cdot \\sigma_j \\tag{9} \\end{align} $$<\/p>\n\n\n\n
\u5b9f\u9a132\u306b\u3064\u3044\u3066\u3001T=1.0\u306e\u30dc\u30eb\u30c4\u30de\u30f3\u5206\u5e03\u306b\u88dc\u6b63\u3057\u3088\u3046\u3068\u3057\u305f\u6642\u3001SQA\u306e\u9006\u6e29\u5ea6\u3092\u8003\u616e\u3059\u308b\u3068 $\\frac{\ud835\udefd_{\ud835\udc60\ud835\udc5e\ud835\udc4e}}{\ud835\udefd_{\ud835\udc5a\ud835\udc50}} =2.0$\u306e\u30dc\u30eb\u30c4\u30de\u30f3\u5206\u5e03\u3068\u306a\u308b\u306f\u305a\u3067\u3059\u304c\u3001\u5b9f\u9a13\u306e\u7d50\u679c\u3067\u306f\u3001\u9006\u6e29\u5ea6\u306f1.6\u3067\u88dc\u6b63\u304c\u4e00\u81f4\u3057\u3066\u3044\u307e\u305b\u3093\u3002\u307e\u305f\u3001\u5f0f(4)\u3088\u308a\u30c8\u30ed\u30c3\u30bf\u30fc\u6570\u5206\u306e\u88dc\u6b63\u3092\u3057\u3066\u3082\u3001$\\frac{\ud835\udefd_{\ud835\udc60\ud835\udc5e\ud835\udc4e}}{\ud835\udc5a\u22c5\ud835\udefd_{\ud835\udc5a\ud835\udc50}} = 0.25$\u3068\u306a\u308a\u7d50\u679c\u3068\u4e00\u81f4\u3057\u306a\u3044\u3067\u3059\u3002<\/p>\n\n\n\n
\u5b9f\u9a133\u306b\u3064\u3044\u3066\u3001SQA\u306e\u5b66\u7fd2\u5668\u306f\u904e\u5b66\u7fd2(\u30aa\u30fc\u30d0\u30fc\u30d5\u30a3\u30c3\u30c6\u30a3\u30f3\u30b0)\u304c\u8d77\u304d\u3066\u3044\u307e\u3059\u3002\u56f38\u306e\u5206\u5e03\u3088\u308aSQA\u306f\u30a8\u30cd\u30eb\u30ae\u30fc\u304c\u4f4e\u3044\u5730\u70b9\u3092\u63a2\u7d22\u3067\u304d\u3066\u3044\u308b\u3053\u3068\u304b\u3089\u3001\u6700\u9069\u89e3\u3092\u898b\u3064\u3051\u51fa\u3057\u5b66\u7fd2\u30c7\u30fc\u30bf\u3092\u305d\u3063\u304f\u308a\u3068\u6a21\u5023\u3057\u3066\u3057\u307e\u3063\u305f\u3068\u8003\u3048\u3089\u308c\u307e\u3059\u3002\u4e00\u65b9\u3067\u3001MCMC\u306f\u5c11\u3057\u305a\u3064\u63a2\u7d22\u3057\u3066\u3044\u304f\u306e\u3067\u3001\u57fa\u5e95\u72b6\u614b\u304b\u3089\u5c11\u3057\u305a\u308c\u305f\u5206\u5e03\u3082\u542b\u307f\u3001\u5b66\u7fd2\u306b\u6c4e\u7528\u6027\u3092\u6301\u305f\u3059\u3053\u3068\u304c\u3067\u304d\u305f\u3068\u8003\u3048\u307e\u3057\u305f\u3002\u305d\u306e\u305f\u3081\u3001\u56f39\u306e\u3088\u3046\u306b\u9006\u6e29\u5ea6\u3092\u5c0f\u3055\u304f\u3057\u3066\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u306b\u5e45\u3092\u6301\u305f\u305b\u305f\u3053\u3068\u3067SQA\u306e\u5b66\u7fd2\u3092\u6539\u5584\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u305f\u3068\u8003\u3048\u3089\u308c\u307e\u3059\u3002<\/p>\n\n\n\n
<\/span>\u307e\u3068\u3081<\/span><\/h2>\n\n\n\nSQA\u306e\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u306e\u5206\u5e03\u306f\u3042\u308b\u6e29\u5ea6\u306e\u30dc\u30eb\u30c4\u30de\u30f3\u5206\u5e03\u306b\u5f93\u3046\u3053\u3068\u304c\u78ba\u8a8d\u3067\u304d\u307e\u3057\u305f\u304c\u3001SQA\u306e\u5206\u5e03\u3092T=1.0\u306e\u30dc\u30eb\u30c4\u30de\u30f3\u5206\u5e03\u306b\u88dc\u6b63\u3059\u308b\u6642\u3001\u5358\u7d14\u306b$J$\u3092\u9006\u6e29\u5ea6\u3067\u5272\u308b\u3060\u3051\u3067\u306f\u88dc\u6b63\u3067\u304d\u306a\u3044\u539f\u56e0\u304c\u308f\u304b\u308a\u307e\u305b\u3093\u3067\u3057\u305f\u3002\u307e\u305f\u3001MCMC-RBM\u3068SQA-RBM\u306e\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u5206\u5e03\u3092\u307f\u308b\u3068\u3001SQA\u306e\u5206\u5e03\u306e\u65b9\u304c\u4f4e\u30a8\u30cd\u30eb\u30ae\u30fc\u5e2f\u306b\u5206\u5e03\u3057\u3066\u3044\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u3001SQA\u306e\u9006\u6e29\u5ea6\u3092\u5c0f\u3055\u304f\u3059\u308b\u3068\u5b66\u7fd2\u3092\u6539\u5584\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3068\u308f\u304b\u308a\u307e\u3057\u305f\u3002<\/p>\n\n\n\n
<\/span>\u3042\u3068\u304c\u304d<\/span><\/h2>\n\n\n\n\u4eca\u56de\u306fD-Wave\u306e\u5b9f\u6a5f\u3092\u4f7f\u3046\u4ee3\u308f\u308a\u306b\u3001OpenJij\u306eSQA\u30b5\u30f3\u30d7\u30e9\u30fc\u3067\u5b9f\u9a13\u3057\u307e\u3057\u305f\u3002SQA\u306e\u4ed5\u7d44\u307f\u306b\u3064\u3044\u3066\u7406\u89e3\u3092\u6df1\u3081\u3064\u3064\u3001\u30dc\u30eb\u30c4\u30de\u30f3\u5206\u5e03\u306b\u985e\u4f3c\u3059\u308b\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u3068\u3057\u3066\u6a5f\u80fd\u3059\u308b\u304b\u8003\u3048\u308b\u304d\u3063\u304b\u3051\u3068\u306a\u308a\u307e\u3057\u305f\u3002\u305f\u3060\u3001\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u306b\u306f\u6642\u9593\u304c\u304b\u304b\u308b\u50be\u5411\u304c\u3042\u308b\u305f\u3081\u3001\u6570$\\mu$\u79d2\u3067\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u304c\u5f97\u3089\u308c\u308bQA\u306b\u512a\u4f4d\u6027\u304c\u3042\u308b\u3068\u601d\u3044\u307e\u3057\u305f\u3002\u4eca\u5f8c\u306fQA\u306b\u3088\u308b\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u5206\u5e03\u3068\u6bd4\u8f03\u3057\u3066\u3044\u304d\u305f\u3044\u3067\u3059\u3002<\/p>\n\n\n\n
<\/span>\u672c\u8a18\u4e8b\u306e\u4f5c\u6210\u8005<\/span><\/h2>\n\n\n\n\u5d8b\u5d0e\u53f8\u6643(\u30e1\u30f3\u30bf\u30ea\u30f3\u30b0\uff1a\u9e7f\u5185\u601c\u592e)<\/p>\n","protected":false},"excerpt":{"rendered":"
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