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Commit 15465193 authored by Florent Chatelain's avatar Florent Chatelain
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up nb

parent f1b1b2d7
......@@ -58,8 +58,8 @@
"$$K = \\left[ \\frac 1p (X \\circ S)' (X \\circ S) \\right] \\circ B$$\n",
"\n",
"is the $n\\times n$ *two-way punctured* kernel matrix where $ \\circ$ is the Hadamard (elementwise) product and\n",
" - matrix $S$ is the Bernoulli iid $(p \\times n)$ random matrix to select the **data** entries with rate `eS`\n",
" - matrix $B$ is the Bernoulli iid $(n \\times n)$ random matrix to select the **kernel** entries with rate `eB`"
" * $S$ is the Bernoulli iid $(p \\times n)$ random matrix to select the **data** entries with rate `eS`\n",
" * $B$ is the Bernoulli iid $(n \\times n)$ random matrix to select the **kernel** entries with rate `eB`"
]
},
{
......@@ -70,7 +70,7 @@
"\n",
"$ [\\mu_1^T,\\mu_2^T]^T \\sim \\mathcal{N}\\left(0, \\frac1p {\\tiny \\left[\\begin{matrix} 10 & 5.5 \\\\ 5.5 & 15\\end{matrix}\\right] } \\right) $\n",
"\n",
"$\\otimes$\n",
"⊗\n",
"\n",
"#### Figure 1.\n",
"Eigenvalue distribution $\\nu_n$ of $K$ versus limit measure $\\nu$, for $p=200$, $n=4\\,000$, $x_i\\sim .4 \\mathcal N(\\mu_1,I_p)+.6\\mathcal N(\\mu_2,I_p)$ for \n",
......
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