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Commit c452c6f5 authored by Florent Chatelain's avatar Florent Chatelain
Browse files

up nb

parent ae36d8b9
......@@ -4,7 +4,7 @@
"cell_type": "markdown",
"metadata": {},
"source": [
"# \n",
"# <center>*\"Two-way kernel matrix puncturing: towards resource-efficient PCA and spectral clustering\"*</center>\n",
"## <center>-- Supplementary Material -- </center>\n",
"## <center>-- Python Codes of main article figures --</center>\n",
......@@ -54,6 +54,11 @@
"The data matrix is $X\\in \\mathbb{C}^{p \\times n}$ where $p$ and $n$ are the feature and sample size resp.\n",
"Then \n",
"$$ A \\odot B$$\n",
"$$ \\frac 1p $$\n",
"$$ \\left[ A^T \\right ] $$\n",
"$$K = \\left[ \\frac 1p (X \\odot S)' (X \\odot S) \\right] \\odot B$$\n",
"is the $n\\times n$ *two-way punctured* kernel matrix where:\n",
" - matrix $S$ is the Bernoulli iid $(p \\times n)$ random matrix to select the **data** entries with rate `eS`\n",
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