"
],
"text/plain": [
" NDCG@10 Recall@10 Serendipity@10 epoch step\n",
"0 0.023663 0.183432 0.000067 0 2362\n",
"1 0.027919 0.209730 0.000122 1 4725\n",
"2 0.029360 0.216305 0.000166 2 7088\n",
"3 0.030170 0.226824 0.000203 3 9451\n",
"4 0.030412 0.225510 0.000161 4 11814\n",
"15 0.031640 0.226167 0.000186 15 37807\n",
"16 0.031333 0.230769 0.000203 16 40170\n",
"17 0.031238 0.228139 0.000184 17 42533\n",
"18 0.031893 0.232084 0.000195 18 44896\n",
"19 0.031560 0.230112 0.000179 19 47259"
]
},
"execution_count": 30,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"loss_df, metrics_df = get_logs(model)\n",
"pd.concat([metrics_df.head(5), metrics_df.tail(5)])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Don't be surprised by the fact that validation loss is less then train loss in the plot below. \n",
"- First, this is data-specific, you may not see this in other datasets. \n",
"- Second, validation loss is calculated after the full training epoch while train loss is computed for each batch during training when model still hasn't seen other batches and hasn't updated weights.\n",
"- Validation loss is calculated only in the last item in validation users history. While train loss for SASRec is calculated for each item in user histor except the first one and the validation one."
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
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