diff --git a/extra_capsnets.ipynb b/extra_capsnets.ipynb index 08c9433..cbe6086 100644 --- a/extra_capsnets.ipynb +++ b/extra_capsnets.ipynb @@ -493,14 +493,14 @@ "$\n", "\\pmatrix{\n", "\\mathbf{A} & \\mathbf{B} & \\mathbf{C} \\\\\n", - "\\mathbf{D} & \\mathbf{E} & \\mathbf{F} \\\\\n", + "\\mathbf{D} & \\mathbf{E} & \\mathbf{F}\n", "} \\times\n", "\\pmatrix{\n", "\\mathbf{G} & \\mathbf{H} & \\mathbf{I} \\\\\n", - "\\mathbf{J} & \\mathbf{K} & \\mathbf{L} \\\\\n", + "\\mathbf{J} & \\mathbf{K} & \\mathbf{L}\n", "} = \\pmatrix{\n", "\\mathbf{AG} & \\mathbf{BH} & \\mathbf{CI} \\\\\n", - "\\mathbf{DJ} & \\mathbf{EK} & \\mathbf{FL} \\\\\n", + "\\mathbf{DJ} & \\mathbf{EK} & \\mathbf{FL}\n", "}\n", "$" ] @@ -512,16 +512,16 @@ "We can apply this function to compute $\\hat{\\mathbf{u}}_{j|i}$ for every pair of capsules ($i$, $j$) like this (recall that there are 6×6×32=1152 capsules in the first layer, and 10 in the second layer):\n", "$\n", "\\pmatrix{\n", - "\\mathbf{W}_{1,1} & \\mathbf{W}_{2,1} & \\cdots & \\mathbf{W}_{10,1} \\\\\n", - "\\mathbf{W}_{1,2} & \\mathbf{W}_{2,2} & \\cdots & \\mathbf{W}_{10,2} \\\\\n", - "\\vdots & \\vdots & \\ddots & \\vdots \\\\\n", - "\\mathbf{W}_{1,1152} & \\mathbf{W}_{2,1152} & \\cdots & \\mathbf{W}_{10,1152} \\\\\n", + " \\mathbf{W}_{1,1} & \\mathbf{W}_{2,1} & \\cdots & \\mathbf{W}_{10,1} \\\\\n", + " \\mathbf{W}_{1,2} & \\mathbf{W}_{2,2} & \\cdots & \\mathbf{W}_{10,2} \\\\\n", + " \\vdots & \\vdots & \\ddots & \\vdots \\\\\n", + " \\mathbf{W}_{1,1152} & \\mathbf{W}_{2,1152} & \\cdots & \\mathbf{W}_{10,1152}\n", "} \\times\n", "\\pmatrix{\n", - "\\mathbf{u}_1 & \\mathbf{u}_1 & \\cdots & \\mathbf{u}_1 \\\\\n", - "\\mathbf{u}_2 & \\mathbf{u}_2 & \\cdots & \\mathbf{u}_2 \\\\\n", - "\\vdots & \\vdots & \\ddots & \\vdots \\\\\n", - "\\mathbf{u}_{1152} & \\mathbf{u}_{1152} & \\cdots & \\mathbf{u}_{1152} \\\\\n", + " \\mathbf{u}_1 & \\mathbf{u}_1 & \\cdots & \\mathbf{u}_1 \\\\\n", + " \\mathbf{u}_2 & \\mathbf{u}_2 & \\cdots & \\mathbf{u}_2 \\\\\n", + " \\vdots & \\vdots & \\ddots & \\vdots \\\\\n", + " \\mathbf{u}_{1152} & \\mathbf{u}_{1152} & \\cdots & \\mathbf{u}_{1152}\n", "}\n", "=\n", "\\pmatrix{\n",