| <script charset="utf-8" src="https://cdn.plot.ly/plotly-3.7.0.min.js" integrity="sha256-jvTGqxNp8AGWEcvNLVuKr+8j5dGe9Yw51LQkmDH+IYA=" crossorigin="anonymous"></script> <div id="32c93cb8-0d06-47c8-a5eb-36a0c3da2e1e" class="plotly-graph-div" style="height:100%; width:100%;"></div> <script> window.PLOTLYENV=window.PLOTLYENV || {}; if (document.getElementById("32c93cb8-0d06-47c8-a5eb-36a0c3da2e1e")) { Plotly.newPlot( "32c93cb8-0d06-47c8-a5eb-36a0c3da2e1e", [{"marker":{"color":"#3b1c62","size":9},"mode":"markers","name":"overlap=0.1 (R²=0.987)","x":[4.852030263919617,5.545177444479562,6.238324625039508,6.931471805599453,7.6246189861593985,8.317766166719343,9.010913347279288],"y":[0.82375,1.430375,1.8756249999999999,2.422125,3.30825,3.89175,4.86875],"type":"scatter"},{"line":{"color":"#3b1c62","width":2},"mode":"lines","showlegend":false,"x":{"dtype":"f8","bdata":"sfIan3poE0AwIgXfqkEVQK5R7x7bGhdALYHZXgv0GECrsMOeO80aQCrgrd5rphxAqA+YHpx\u002fHkCUH0EvZiwgQFM3Nk\u002f+GCFAEk8rb5YFIkA="},"y":{"dtype":"f8","bdata":"oLSFZS+65T\u002fkn1kpWOjxP3Rl8J+Y8\u002fg\u002fDCuHFtn+\u002fz9O+I7GDIUDQBpb2gGtCgdA4r0lPU2QCkCuIHF47RUOQLxB3tnGzRBAIPOD95aQEkA="},"type":"scatter"},{"marker":{"color":"#8b2fa0","size":9},"mode":"markers","name":"overlap=0.2 (R²=0.977)","x":[4.1588830833596715,4.852030263919617,5.545177444479562,6.238324625039508,6.931471805599453,7.6246189861593985,8.317766166719343,9.010913347279288],"y":[1.3325,1.98575,2.438875,2.865875,3.4911250000000003,4.0525,4.691,5.914],"type":"scatter"},{"line":{"color":"#8b2fa0","width":2},"mode":"lines","showlegend":false,"x":{"dtype":"f8","bdata":"c6s7P7KiEEAxOCLfv8oSQPDECH\u002fN8hRArlHvHtsaF0Bs3tW+6EIZQCtrvF72ahtA6fei\u002fgOTHUCohImeEbsfQLMIOJ+P8SBAEk8rb5YFIkA="},"y":{"dtype":"f8","bdata":"pg+fYVeA8z8ASNa58hD7PzDABgnHUAFAXlwitRQZBUCK+D1hYuEIQLqUWQ2wqQxAdJi63P44EECLZsiyJR0SQKI01ohMARRAuQLkXnPlFUA="},"type":"scatter"},{"marker":{"color":"#d4426a","size":9},"mode":"markers","name":"overlap=0.3 (R²=0.988)","x":[4.1588830833596715,4.852030263919617,5.545177444479562,6.238324625039508,6.931471805599453,7.6246189861593985,8.317766166719343,9.010913347279288],"y":[2.29425,2.870875,3.3915,3.818,4.51525,5.092125,5.311375,6.395375],"type":"scatter"},{"line":{"color":"#d4426a","width":2},"mode":"lines","showlegend":false,"x":{"dtype":"f8","bdata":"c6s7P7KiEEAxOCLfv8oSQPDECH\u002fN8hRArlHvHtsaF0Bs3tW+6EIZQCtrvF72ahtA6fei\u002fgOTHUCohImeEbsfQLMIOJ+P8SBAEk8rb5YFIkA="},"y":{"dtype":"f8","bdata":"WkiaUnEeAkBulJV0MZQFQILgkJbxCQlAliyMuLF\u002fDECqeIfacfUPQGBiQf6YtRFAagg\u002fD3lwE0B1rjwgWSsVQH9UOjE55hZAifo3QhmhGEA="},"type":"scatter"},{"marker":{"color":"#e8663c","size":9},"mode":"markers","name":"overlap=0.4 (R²=0.965)","x":[4.1588830833596715,4.852030263919617,5.545177444479562,6.238324625039508,6.931471805599453,7.6246189861593985,8.317766166719343,9.010913347279288],"y":[3.527,3.934,4.402,4.85975,5.497875,5.766125,5.815625,7.03875],"type":"scatter"},{"line":{"color":"#e8663c","width":2},"mode":"lines","showlegend":false,"x":{"dtype":"f8","bdata":"c6s7P7KiEEAxOCLfv8oSQPDECH\u002fN8hRArlHvHtsaF0Bs3tW+6EIZQCtrvF72ahtA6fei\u002fgOTHUCohImeEbsfQLMIOJ+P8SBAEk8rb5YFIkA="},"y":{"dtype":"f8","bdata":"vVjyiyXvC0BePFzAaM0OQAAQY\u002frV1RBA0QGYlPdEEkCi88wuGbQTQHPlAck6IxVARNc2Y1ySFkAVyWv9fQEYQOa6oJefcBlAtqzVMcHfGkA="},"type":"scatter"},{"marker":{"color":"#f7c325","size":9},"mode":"markers","name":"overlap=0.5 (R²=0.990)","x":[4.1588830833596715,4.852030263919617,5.545177444479562,6.238324625039508,6.931471805599453,7.6246189861593985,8.317766166719343,9.010913347279288],"y":[4.66225,5.169,5.68,6.143125,6.451125,7.12125,7.218375,7.9695],"type":"scatter"},{"line":{"color":"#f7c325","width":2},"mode":"lines","showlegend":false,"x":{"dtype":"f8","bdata":"c6s7P7KiEEAxOCLfv8oSQPDECH\u002fN8hRArlHvHtsaF0Bs3tW+6EIZQCtrvF72ahtA6fei\u002fgOTHUCohImeEbsfQLMIOJ+P8SBAEk8rb5YFIkA="},"y":{"dtype":"f8","bdata":"UCrOPnzeEkAzed5lD0cUQBbI7oyirxVA+Rb\u002fszUYF0DcZQ\u002fbyIAYQL60HwJc6RlAogMwKe9RG0CEUkBQgrocQGihUHcVIx5ASvBgnqiLH0A="},"type":"scatter"}], {"template":{"data":{"barpolar":[{"marker":{"line":{"color":"white","width":0.5},"pattern":{"fillmode":"overlay","size":10,"solidity":0.2}},"type":"barpolar"}],"bar":[{"error_x":{"color":"#2a3f5f"},"error_y":{"color":"#2a3f5f"},"marker":{"line":{"color":"white","width":0.5},"pattern":{"fillmode":"overlay","size":10,"solidity":0.2}},"type":"bar"}],"carpet":[{"aaxis":{"endlinecolor":"#2a3f5f","gridcolor":"#C8D4E3","linecolor":"#C8D4E3","minorgridcolor":"#C8D4E3","startlinecolor":"#2a3f5f"},"baxis":{"endlinecolor":"#2a3f5f","gridcolor":"#C8D4E3","linecolor":"#C8D4E3","minorgridcolor":"#C8D4E3","startlinecolor":"#2a3f5f"},"type":"carpet"}],"choropleth":[{"colorbar":{"outlinewidth":0,"ticks":""},"type":"choropleth"}],"contourcarpet":[{"colorbar":{"outlinewidth":0,"ticks":""},"type":"contourcarpet"}],"contour":[{"colorbar":{"outlinewidth":0,"ticks":""},"colorscale":[[0.0,"#0d0887"],[0.1111111111111111,"#46039f"],[0.2222222222222222,"#7201a8"],[0.3333333333333333,"#9c179e"],[0.4444444444444444,"#bd3786"],[0.5555555555555556,"#d8576b"],[0.6666666666666666,"#ed7953"],[0.7777777777777778,"#fb9f3a"],[0.8888888888888888,"#fdca26"],[1.0,"#f0f921"]],"type":"contour"}],"heatmap":[{"colorbar":{"outlinewidth":0,"ticks":""},"colorscale":[[0.0,"#0d0887"],[0.1111111111111111,"#46039f"],[0.2222222222222222,"#7201a8"],[0.3333333333333333,"#9c179e"],[0.4444444444444444,"#bd3786"],[0.5555555555555556,"#d8576b"],[0.6666666666666666,"#ed7953"],[0.7777777777777778,"#fb9f3a"],[0.8888888888888888,"#fdca26"],[1.0,"#f0f921"]],"type":"heatmap"}],"histogram2dcontour":[{"colorbar":{"outlinewidth":0,"ticks":""},"colorscale":[[0.0,"#0d0887"],[0.1111111111111111,"#46039f"],[0.2222222222222222,"#7201a8"],[0.3333333333333333,"#9c179e"],[0.4444444444444444,"#bd3786"],[0.5555555555555556,"#d8576b"],[0.6666666666666666,"#ed7953"],[0.7777777777777778,"#fb9f3a"],[0.8888888888888888,"#fdca26"],[1.0,"#f0f921"]],"type":"histogram2dcontour"}],"histogram2d":[{"colorbar":{"outlinewidth":0,"ticks":""},"colorscale":[[0.0,"#0d0887"],[0.1111111111111111,"#46039f"],[0.2222222222222222,"#7201a8"],[0.3333333333333333,"#9c179e"],[0.4444444444444444,"#bd3786"],[0.5555555555555556,"#d8576b"],[0.6666666666666666,"#ed7953"],[0.7777777777777778,"#fb9f3a"],[0.8888888888888888,"#fdca26"],[1.0,"#f0f921"]],"type":"histogram2d"}],"histogram":[{"marker":{"pattern":{"fillmode":"overlay","size":10,"solidity":0.2}},"type":"histogram"}],"mesh3d":[{"colorbar":{"outlinewidth":0,"ticks":""},"type":"mesh3d"}],"parcoords":[{"line":{"colorbar":{"outlinewidth":0,"ticks":""}},"type":"parcoords"}],"pie":[{"automargin":true,"type":"pie"}],"scatter3d":[{"line":{"colorbar":{"outlinewidth":0,"ticks":""}},"marker":{"colorbar":{"outlinewidth":0,"ticks":""}},"type":"scatter3d"}],"scattercarpet":[{"marker":{"colorbar":{"outlinewidth":0,"ticks":""}},"type":"scattercarpet"}],"scattergeo":[{"marker":{"colorbar":{"outlinewidth":0,"ticks":""}},"type":"scattergeo"}],"scattergl":[{"marker":{"colorbar":{"outlinewidth":0,"ticks":""}},"type":"scattergl"}],"scattermapbox":[{"marker":{"colorbar":{"outlinewidth":0,"ticks":""}},"type":"scattermapbox"}],"scattermap":[{"marker":{"colorbar":{"outlinewidth":0,"ticks":""}},"type":"scattermap"}],"scatterpolargl":[{"marker":{"colorbar":{"outlinewidth":0,"ticks":""}},"type":"scatterpolargl"}],"scatterpolar":[{"marker":{"colorbar":{"outlinewidth":0,"ticks":""}},"type":"scatterpolar"}],"scatter":[{"fillpattern":{"fillmode":"overlay","size":10,"solidity":0.2},"type":"scatter"}],"scatterternary":[{"marker":{"colorbar":{"outlinewidth":0,"ticks":""}},"type":"scatterternary"}],"surface":[{"colorbar":{"outlinewidth":0,"ticks":""},"colorscale":[[0.0,"#0d0887"],[0.1111111111111111,"#46039f"],[0.2222222222222222,"#7201a8"],[0.3333333333333333,"#9c179e"],[0.4444444444444444,"#bd3786"],[0.5555555555555556,"#d8576b"],[0.6666666666666666,"#ed7953"],[0.7777777777777778,"#fb9f3a"],[0.8888888888888888,"#fdca26"],[1.0,"#f0f921"]],"type":"surface"}],"table":[{"cells":{"fill":{"color":"#EBF0F8"},"line":{"color":"white"}},"header":{"fill":{"color":"#C8D4E3"},"line":{"color":"white"}},"type":"table"}]},"layout":{"annotationdefaults":{"arrowcolor":"#2a3f5f","arrowhead":0,"arrowwidth":1},"autotypenumbers":"strict","coloraxis":{"colorbar":{"outlinewidth":0,"ticks":""}},"colorscale":{"diverging":[[0,"#8e0152"],[0.1,"#c51b7d"],[0.2,"#de77ae"],[0.3,"#f1b6da"],[0.4,"#fde0ef"],[0.5,"#f7f7f7"],[0.6,"#e6f5d0"],[0.7,"#b8e186"],[0.8,"#7fbc41"],[0.9,"#4d9221"],[1,"#276419"]],"sequential":[[0.0,"#0d0887"],[0.1111111111111111,"#46039f"],[0.2222222222222222,"#7201a8"],[0.3333333333333333,"#9c179e"],[0.4444444444444444,"#bd3786"],[0.5555555555555556,"#d8576b"],[0.6666666666666666,"#ed7953"],[0.7777777777777778,"#fb9f3a"],[0.8888888888888888,"#fdca26"],[1.0,"#f0f921"]],"sequentialminus":[[0.0,"#0d0887"],[0.1111111111111111,"#46039f"],[0.2222222222222222,"#7201a8"],[0.3333333333333333,"#9c179e"],[0.4444444444444444,"#bd3786"],[0.5555555555555556,"#d8576b"],[0.6666666666666666,"#ed7953"],[0.7777777777777778,"#fb9f3a"],[0.8888888888888888,"#fdca26"],[1.0,"#f0f921"]]},"colorway":["#636efa","#EF553B","#00cc96","#ab63fa","#FFA15A","#19d3f3","#FF6692","#B6E880","#FF97FF","#FECB52"],"font":{"color":"#2a3f5f"},"geo":{"bgcolor":"white","lakecolor":"white","landcolor":"white","showlakes":true,"showland":true,"subunitcolor":"#C8D4E3"},"hoverlabel":{"align":"left"},"hovermode":"closest","mapbox":{"style":"light"},"paper_bgcolor":"white","plot_bgcolor":"white","polar":{"angularaxis":{"gridcolor":"#EBF0F8","linecolor":"#EBF0F8","ticks":""},"bgcolor":"white","radialaxis":{"gridcolor":"#EBF0F8","linecolor":"#EBF0F8","ticks":""}},"scene":{"xaxis":{"backgroundcolor":"white","gridcolor":"#DFE8F3","gridwidth":2,"linecolor":"#EBF0F8","showbackground":true,"ticks":"","zerolinecolor":"#EBF0F8"},"yaxis":{"backgroundcolor":"white","gridcolor":"#DFE8F3","gridwidth":2,"linecolor":"#EBF0F8","showbackground":true,"ticks":"","zerolinecolor":"#EBF0F8"},"zaxis":{"backgroundcolor":"white","gridcolor":"#DFE8F3","gridwidth":2,"linecolor":"#EBF0F8","showbackground":true,"ticks":"","zerolinecolor":"#EBF0F8"}},"shapedefaults":{"line":{"color":"#2a3f5f"}},"ternary":{"aaxis":{"gridcolor":"#DFE8F3","linecolor":"#A2B1C6","ticks":""},"baxis":{"gridcolor":"#DFE8F3","linecolor":"#A2B1C6","ticks":""},"bgcolor":"white","caxis":{"gridcolor":"#DFE8F3","linecolor":"#A2B1C6","ticks":""}},"title":{"x":0.05},"xaxis":{"automargin":true,"gridcolor":"#EBF0F8","linecolor":"#EBF0F8","ticks":"","title":{"standoff":15},"zerolinecolor":"#EBF0F8","zerolinewidth":2},"yaxis":{"automargin":true,"gridcolor":"#EBF0F8","linecolor":"#EBF0F8","ticks":"","title":{"standoff":15},"zerolinecolor":"#EBF0F8","zerolinewidth":2}}},"title":{"text":"Sample-complexity threshold vs log d — full-batch, quad"},"xaxis":{"title":{"text":"log d"}},"yaxis":{"title":{"text":"Threshold δ = n\u002fd"}},"height":460}, {"responsive": true} ) }; </script> </div> |
