From c61437602430522b4c5b004d3320c4d78ab42b6c Mon Sep 17 00:00:00 2001 From: Felipe Date: Thu, 26 Oct 2023 09:56:41 -0700 Subject: [PATCH] Use plotly backend on pandas --- tutorials/02_Univariate_Distributions.ipynb | 8015 ++++++++++++++++--- 1 file changed, 6897 insertions(+), 1118 deletions(-) diff --git a/tutorials/02_Univariate_Distributions.ipynb b/tutorials/02_Univariate_Distributions.ipynb index 727687cd..b80f659d 100644 --- a/tutorials/02_Univariate_Distributions.ipynb +++ b/tutorials/02_Univariate_Distributions.ipynb @@ -81,7 +81,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 4, "metadata": {}, "outputs": [ { @@ -1984,9 +1984,9 @@ } }, "text/html": [ - "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import pandas as pd\n", + "\n", + "pd.options.plotting.backend = \"plotly\"\n", + "pd.DataFrame({\n", + " 'data': sampled,\n", + " 'probability_density': probability_density\n", + "}).sort_values('data').set_index('data').plot()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Cumulative Distribution\n", + "\n", + "The cumulative distribution of Beta distribution is defined by:\n", + "\n", + "\\begin{equation}\n", + "p = F(x, a, b) = \\frac{1}{B(a, b)}\\int_{0}^{x}t^{a - 1}{(1 - t)}^{b - 1}dt\n", + "\\end{equation}\n", + "\n", + "where $B(\\alpha,\\beta)$ is the Beta function defined above.\n", + "\n", + "The cumulative distribution can be computed for an array of data points using the\n", + "`cumulative_distribution` method." + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "cumulative_distribution = beta.cumulative_distribution(sampled)" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0.50772181, 0.80571518, 0.48624704, 0.66417596, 0.12469357])" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "cumulative_distribution[0:5]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Like with probability densities, if we plot the cumulative distribution values\n", + "sorted by the input data, we will get a better notion of how it behaves" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.plotly.v1+json": { + "config": { + "plotlyServerURL": "https://plot.ly" + }, + "data": [ + { + "hovertemplate": "variable=cumulative distribution
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