data/221.json
{
"definitions" : {
"L" : [ {
"Q1036748" : "loss function"
} ],
"\\theta_{\\nu}" : [ "eigenvector of $\\Sigma$ corresponding to the $\\nu$-th largest eigenvalue", {
"Q3555174" : "eigenvector"
} ],
"\\nu" : [ {
"Q2303886" : "index"
} ],
"\\widehat{\\theta}_{\\nu}" : [ "estimator", { } ],
"\\langle" : [ {
"Q21092339" : "Symbol"
} ]
},
"constraints" : [ ],
"math_inputtex" : "L(\\widehat{\\theta}_{\\nu},\\theta_{\\nu})=\\parallel\\widehat{\\theta}_{\\nu}-\\mbox{% sign}\\langle\\widehat{\\theta}_{\\nu},\\theta_{\\nu}\\rangle\\theta_{\\nu}\\parallel^{2}",
"math_inputtex_semantic" : "\\wf{Q1036748}{L}(\\widehat{\\w{Q3555174}{\\theta}}_{\\w{Q2303886}{\\nu}},\\theta_{\\nu}) = \\parallel\\widehat{\\theta}_{\\nu} - \\mbox{sign}\\langle\\widehat{\\theta}_{\\nu},\\theta_{\\nu}\\rangle\\theta_{\\nu}\\parallel^{2}",
"correct_tex" : "L(\\widehat{\\theta}_{\\nu},\\theta_{\\nu})=\\parallel\\widehat{\\theta}_{\\nu}-\\langle\\widehat{\\theta}_{\\nu} \\theta_{\\nu}\\rangle\\theta_{\\nu}\\parallel^{2}",
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id=\"p1.1.m1.1c\">L(\\widehat{\\theta}_{\\nu},\\theta_{\\nu})=\\parallel\\widehat{\\theta}_{\\nu}-\\mbox{%\nsign}\\langle\\widehat{\\theta}_{\\nu},\\theta_{\\nu}\\rangle\\theta_{\\nu}\\parallel^{2}</annotation>\n </semantics>\n</math>",
"uri" : "https://arxiv.org/abs/1203.0967",
"title" : "Commonly used loss function",
"comment" : "",
"type" : "equation",
"ntcir12-type" : "21",
"formula" : "1_68.3",
"page" : "17",
"ntcir12-relevance" : "4"
}