{ "cells": [ { "cell_type": "code", "execution_count": null, "id": "850e7703", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [intercept, slope]\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "570fd1615d6640639a2795169dea6d2a", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Output()" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
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"text/plain": [
"\n"
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},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"Sampling 4 chains for 1_000 tune and 2_000 draw iterations (4_000 + 8_000 draws total) took 162 seconds.\n",
"There were 15 divergences after tuning. Increase `target_accept` or reparameterize.\n"
]
},
{
"data": {
"text/plain": [
"Text(0, 0.5, 'Frequency')"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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",
"text/plain": [
"\n",
"\n"
],
"text/plain": [
"\n"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"Sampling 4 chains for 1_000 tune and 2_000 draw iterations (4_000 + 8_000 draws total) took 200 seconds.\n",
"There were 8 divergences after tuning. Increase `target_accept` or reparameterize.\n"
]
},
{
"data": {
"image/png": 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",
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