{"id":81228,"date":"2021-03-25T13:32:15","date_gmt":"2021-03-25T17:32:15","guid":{"rendered":"https:\/\/ibkrcampus.com\/?p=81228"},"modified":"2024-05-20T16:26:54","modified_gmt":"2024-05-20T20:26:54","slug":"towards-better-keras-modeling-part-vi","status":"publish","type":"post","link":"https:\/\/www.interactivebrokers.com\/campus\/ibkr-quant-news\/towards-better-keras-modeling-part-vi\/","title":{"rendered":"Towards Better Keras Modeling \u2013 Part VI"},"content":{"rendered":"\n<p><em>See the&nbsp;<a href=\"\/campus\/ibkr-quant-news\/towards-better-keras-modeling-part-v\/\">previous installment<\/a>&nbsp;in this series to learn about Univariate Relationships<\/em>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"Multivariate-Effects\">Multivariate Effects<\/h3>\n\n\n\n<p>Of course, reality is non-linear and we can&#8217;t think about each of these parameters in isolation. Below are a few ways to look at pairs of factors that are logically related.<\/p>\n\n\n\n<p class=\"has-vivid-cyan-blue-color has-text-color\" style=\"font-size:12px\">df_grid&nbsp;=&nbsp;df.reset_index().groupby([\u201cfirst_neuron\u201d,&nbsp;\u201chidden_neuron\u201d]).val_loss_improvement.mean().unstack()<br>ax&nbsp;=&nbsp;sns.heatmap(data=df_grid,cmap&nbsp;=&nbsp;(sns.diverging_palette(10,&nbsp;220,&nbsp;sep=80,&nbsp;n=7)),annot=True)<br>ax.set_title(\u2018Log-Loss Improvement for Varying Shapes\u2019)<\/p><p class=\"has-text-color\" style=\"color:#546269;font-size:11px\"># Unsurprisingly, bigger on both layer types is better.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" width=\"744\" height=\"356\" data-src=\"\/campus\/wp-content\/uploads\/sites\/2\/2021\/03\/alphascientist-multivariable-2.png\" alt=\"Towards Better Keras Modeling\" class=\"wp-image-81236 lazyload\" data-srcset=\"https:\/\/ibkrcampus.com\/campus\/wp-content\/uploads\/sites\/2\/2021\/03\/alphascientist-multivariable-2.png 744w, https:\/\/ibkrcampus.com\/campus\/wp-content\/uploads\/sites\/2\/2021\/03\/alphascientist-multivariable-2-700x335.png 700w, https:\/\/ibkrcampus.com\/campus\/wp-content\/uploads\/sites\/2\/2021\/03\/alphascientist-multivariable-2-300x144.png 300w\" data-sizes=\"(max-width: 744px) 100vw, 744px\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" style=\"--smush-placeholder-width: 744px; aspect-ratio: 744\/356;\" \/><\/figure>\n\n\n\n<p class=\"has-vivid-cyan-blue-color has-text-color\" style=\"font-size:12px\">df_grid = df.reset_index().groupby([&#8220;hidden_layers&#8221;, &#8220;hidden_neuron&#8221;]).val_loss_improvement.mean().unstack()<br>\nax = sns.heatmap(data=df_grid,cmap = (sns.diverging_palette(10, 220, sep=80, n=7)),annot=True)<br>\nax.set_title(&#8216;Log-Loss Improvement for Varying Shapes&#8217;)<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" width=\"745\" height=\"347\" data-src=\"\/campus\/wp-content\/uploads\/sites\/2\/2021\/03\/alphascientist-multivariable-4.png\" alt=\"\" class=\"wp-image-81238 lazyload\" data-srcset=\"https:\/\/ibkrcampus.com\/campus\/wp-content\/uploads\/sites\/2\/2021\/03\/alphascientist-multivariable-4.png 745w, https:\/\/ibkrcampus.com\/campus\/wp-content\/uploads\/sites\/2\/2021\/03\/alphascientist-multivariable-4-700x326.png 700w, https:\/\/ibkrcampus.com\/campus\/wp-content\/uploads\/sites\/2\/2021\/03\/alphascientist-multivariable-4-300x140.png 300w\" data-sizes=\"(max-width: 745px) 100vw, 745px\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" style=\"--smush-placeholder-width: 745px; aspect-ratio: 745\/347;\" \/><\/figure>\n\n\n\n<p class=\"has-vivid-cyan-blue-color has-text-color\" style=\"font-size:12px\">\ndf_grid = df.reset_index().groupby([&#8220;dropout&#8221;, &#8220;hidden_neuron&#8221;]).val_loss_improvement.mean().unstack()<br>\nax = sns.heatmap(data=df_grid,cmap = (sns.diverging_palette(10, 220, sep=80, n=7)),annot=True)<br>\nax.set_title(&#8216;Log-Loss Improvement vs Dropout\/Size&#8217;)\n<\/p>\n\n\n<p class=\"has-text-color\" style=\"color:#546269;font-size:11px\">\n# Surprisingly, dropout didn&#8217;t help even at larger geometries\n<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" width=\"741\" height=\"366\" data-src=\"\/campus\/wp-content\/uploads\/sites\/2\/2021\/03\/alphascientist-multivariable-6.png\" alt=\"\" class=\"wp-image-81240 lazyload\" data-srcset=\"https:\/\/ibkrcampus.com\/campus\/wp-content\/uploads\/sites\/2\/2021\/03\/alphascientist-multivariable-6.png 741w, https:\/\/ibkrcampus.com\/campus\/wp-content\/uploads\/sites\/2\/2021\/03\/alphascientist-multivariable-6-700x346.png 700w, https:\/\/ibkrcampus.com\/campus\/wp-content\/uploads\/sites\/2\/2021\/03\/alphascientist-multivariable-6-300x148.png 300w\" data-sizes=\"(max-width: 741px) 100vw, 741px\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" style=\"--smush-placeholder-width: 741px; aspect-ratio: 741\/366;\" \/><\/figure>\n\n\n\n<p class=\"has-vivid-cyan-blue-color has-text-color\" style=\"font-size:12px\">\nmetric = &#8216;hidden_layers&#8217;<br>ax = sns.boxplot(x=metric, y=&#8221;val_loss&#8221;, data=df.reset_index(),color=&#8217;salmon&#8217;)<br>ax.set_title(f&#8217;Validation Loss as function of {metric}&#8217;)\n<\/p>\n<p class=\"has-text-color\" style=\"color:#546269;font-size:11px\">\n# Very interestingly, no hidden layers is MUCH better.  Possibly a consequence of<br>\n# some deep models with too few neurons to properly represent data\n<\/p>\n\n\n\n<p><em>Stay tuned for the next installment in this series to learn more about Relative Importance of Features<\/em>.<\/p>\n\n\n\n<p><em>Visit&nbsp;The Alpha Scientist blog&nbsp;to download the complete code:<\/em><br><a href=\"https:\/\/alphascientist.com\/hyperparameter_optimization_with_talos.html\">https:\/\/alphascientist.com\/hyperparameter_optimization_with_talos.html<\/a><\/p>\n\n\n\n<p><em>The Alpha Scientist blog \u2013 Chad is a full-time quantitative trader who has been working on data analytics since before it was cool. He has long balanced his interest in computer science (MS in EE\/CS from MIT) with a fascination in markets (CFA designation in 2009). Prior to becoming a full-time quant, he built analytics products and managed teams at software companies across Silicon Valley.&nbsp;If you\u2019ve found this post useful, please follow&nbsp;<\/em><a href=\"https:\/\/twitter.com\/data2alpha\"><em>@data2alpha<\/em><\/a><em>&nbsp;on Twitter and forward to a friend or colleague who may also find this topic interesting.&nbsp;<\/em><a href=\"https:\/\/alphascientist.com\/\"><em>https:\/\/alphascientist.com\/<\/em><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Join The Alpha Scientist for a tutorial on how to work with Multivariate Effects and review a few ways to look at pairs of factors that are logically related.<\/p>\n","protected":false},"author":186,"featured_media":81246,"comment_status":"closed","ping_status":"open","sticky":true,"template":"","format":"standard","meta":{"_acf_changed":true,"footnotes":""},"categories":[339,338,341,352,344],"tags":[8485,827,852,9437,828,595,494,826,9436],"contributors-categories":[13657],"class_list":{"0":"post-81228","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-data-science","8":"category-ibkr-quant-news","9":"category-quant-development","10":"category-quant-north-america","11":"category-quant-regions","12":"tag-data-mining","13":"tag-keras","14":"tag-machine-learning","15":"tag-multivariate-effects","16":"tag-numerox","17":"tag-python","18":"tag-quant","19":"tag-talos","20":"tag-univariate-relationships","21":"contributors-categories-the-alpha-scientist"},"pp_statuses_selecting_workflow":false,"pp_workflow_action":"current","pp_status_selection":"publish","acf":[],"yoast_head":"<!-- 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