images/claim5_objective_tracking.svg

<?xml version="1.0" encoding="utf-8" standalone="no"?>
<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
  "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="648pt" height="273.6pt" viewBox="0 0 648 273.6" xmlns="http://www.w3.org/2000/svg" version="1.1">
 <metadata>
  <rdf:RDF xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:cc="http://creativecommons.org/ns#" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
   <cc:Work>
    <dc:type rdf:resource="http://purl.org/dc/dcmitype/StillImage"/>
    <dc:date>2026-07-28</dc:date>
    <dc:format>image/svg+xml</dc:format>
    <dc:creator>
     <cc:Agent>
      <dc:title>Matplotlib v3.9.4, https://matplotlib.org/</dc:title>
     </cc:Agent>
    </dc:creator>
   </cc:Work>
  </rdf:RDF>
 </metadata>
 <defs>
  <style type="text/css">*{stroke-linejoin: round; stroke-linecap: butt}</style>
 </defs>
 <g id="figure_1">
  <g id="patch_1">
   <path d="M 0 273.6
L 648 273.6
L 648 0
L 0 0
z
" style="fill: #ffffff"/>
  </g>
  <g id="axes_1">
   <g id="patch_2">
    <path d="M 60.32 234.056
L 318.6 234.056
L 318.6 50.64
L 60.32 50.64
z
" style="fill: #ffffff"/>
   </g>
   <g id="patch_3">
    <path d="M 72.06 234.056
L 176.415556 234.056
L 176.415556 59.374095
L 72.06 59.374095
z
" clip-path="url(#pc8daa2ae16)" style="fill: #17875d"/>
   </g>
   <g id="patch_4">
    <path d="M 202.504444 234.056
L 306.86 234.056
L 306.86 232.923494
L 202.504444 232.923494
z
" clip-path="url(#pc8daa2ae16)" style="fill: #8b9dc3"/>
   </g>
   <g id="matplotlib.axis_1">
    <g id="xtick_1">
     <g id="line2d_1">
      <defs>
       <path id="md3ff575194" d="M 0 0
L 0 3.5
" style="stroke: #000000; stroke-width: 0.8"/>
      </defs>
      <g>
       <use xlink:href="#md3ff575194" x="124.237778" y="234.056" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_1">
      <text style="font: 10px 'DejaVu Sans', 'Bitstream Vera Sans', 'Computer Modern Sans Serif', 'Lucida Grande', 'Verdana', 'Geneva', 'Lucid', 'Arial', 'Helvetica', 'Avant Garde', sans-serif" transform="translate(106.140903 248.716937)">small β</text>
      <text style="font: 10px 'DejaVu Sans', 'Bitstream Vera Sans', 'Computer Modern Sans Serif', 'Lucida Grande', 'Verdana', 'Geneva', 'Lucid', 'Arial', 'Helvetica', 'Avant Garde', sans-serif" transform="translate(83.679184 259.91475)">SOSMC−ImpDiff</text>
     </g>
    </g>
    <g id="xtick_2">
     <g id="line2d_2">
      <g>
       <use xlink:href="#md3ff575194" x="254.682222" y="234.056" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_2">
      <text style="font: 10px 'DejaVu Sans', 'Bitstream Vera Sans', 'Computer Modern Sans Serif', 'Lucida Grande', 'Verdana', 'Geneva', 'Lucid', 'Arial', 'Helvetica', 'Avant Garde', sans-serif" transform="translate(237.23066 248.716937)">large β</text>
      <text style="font: 10px 'DejaVu Sans', 'Bitstream Vera Sans', 'Computer Modern Sans Serif', 'Lucida Grande', 'Verdana', 'Geneva', 'Lucid', 'Arial', 'Helvetica', 'Avant Garde', sans-serif" transform="translate(214.123628 259.91475)">SOSMC−ImpDiff</text>
     </g>
    </g>
   </g>
   <g id="matplotlib.axis_2">
    <g id="ytick_1">
     <g id="line2d_3">
      <defs>
       <path id="m8ab01f02c1" d="M 0 0
L -3.5 0
" style="stroke: #000000; stroke-width: 0.8"/>
      </defs>
      <g>
       <use xlink:href="#m8ab01f02c1" x="60.32" y="234.056" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_3">
      <text style="font: 10px 'DejaVu Sans', 'Bitstream Vera Sans', 'Computer Modern Sans Serif', 'Lucida Grande', 'Verdana', 'Geneva', 'Lucid', 'Arial', 'Helvetica', 'Avant Garde', sans-serif; text-anchor: end" x="53.32" y="237.855219" transform="rotate(-0 53.32 237.855219)">0.000</text>
     </g>
    </g>
    <g id="ytick_2">
     <g id="line2d_4">
      <g>
       <use xlink:href="#m8ab01f02c1" x="60.32" y="198.605108" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_4">
      <text style="font: 10px 'DejaVu Sans', 'Bitstream Vera Sans', 'Computer Modern Sans Serif', 'Lucida Grande', 'Verdana', 'Geneva', 'Lucid', 'Arial', 'Helvetica', 'Avant Garde', sans-serif; text-anchor: end" x="53.32" y="202.404327" transform="rotate(-0 53.32 202.404327)">0.001</text>
     </g>
    </g>
    <g id="ytick_3">
     <g id="line2d_5">
      <g>
       <use xlink:href="#m8ab01f02c1" x="60.32" y="163.154217" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_5">
      <text style="font: 10px 'DejaVu Sans', 'Bitstream Vera Sans', 'Computer Modern Sans Serif', 'Lucida Grande', 'Verdana', 'Geneva', 'Lucid', 'Arial', 'Helvetica', 'Avant Garde', sans-serif; text-anchor: end" x="53.32" y="166.953436" transform="rotate(-0 53.32 166.953436)">0.002</text>
     </g>
    </g>
    <g id="ytick_4">
     <g id="line2d_6">
      <g>
       <use xlink:href="#m8ab01f02c1" x="60.32" y="127.703325" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_6">
      <text style="font: 10px 'DejaVu Sans', 'Bitstream Vera Sans', 'Computer Modern Sans Serif', 'Lucida Grande', 'Verdana', 'Geneva', 'Lucid', 'Arial', 'Helvetica', 'Avant Garde', sans-serif; text-anchor: end" x="53.32" y="131.502544" transform="rotate(-0 53.32 131.502544)">0.003</text>
     </g>
    </g>
    <g id="ytick_5">
     <g id="line2d_7">
      <g>
       <use xlink:href="#m8ab01f02c1" x="60.32" y="92.252434" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_7">
      <text style="font: 10px 'DejaVu Sans', 'Bitstream Vera Sans', 'Computer Modern Sans Serif', 'Lucida Grande', 'Verdana', 'Geneva', 'Lucid', 'Arial', 'Helvetica', 'Avant Garde', sans-serif; text-anchor: end" x="53.32" y="96.051652" transform="rotate(-0 53.32 96.051652)">0.004</text>
     </g>
    </g>
    <g id="ytick_6">
     <g id="line2d_8">
      <g>
       <use xlink:href="#m8ab01f02c1" x="60.32" y="56.801542" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_8">
      <text style="font: 10px 'DejaVu Sans', 'Bitstream Vera Sans', 'Computer Modern Sans Serif', 'Lucida Grande', 'Verdana', 'Geneva', 'Lucid', 'Arial', 'Helvetica', 'Avant Garde', sans-serif; text-anchor: end" x="53.32" y="60.600761" transform="rotate(-0 53.32 60.600761)">0.005</text>
     </g>
    </g>
    <g id="text_9">
     <text style="font: 10px 'DejaVu Sans', 'Bitstream Vera Sans', 'Computer Modern Sans Serif', 'Lucida Grande', 'Verdana', 'Geneva', 'Lucid', 'Arial', 'Helvetica', 'Avant Garde', sans-serif; text-anchor: middle" x="18.612188" y="142.348" transform="rotate(-90 18.612188 142.348)">best objective difference</text>
    </g>
   </g>
   <g id="line2d_9">
    <path d="M 60.32 234.056
L 318.6 234.056
" clip-path="url(#pc8daa2ae16)" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linecap: square"/>
   </g>
   <g id="patch_5">
    <path d="M 60.32 234.056
L 60.32 50.64
" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/>
   </g>
   <g id="patch_6">
    <path d="M 318.6 234.056
L 318.6 50.64
" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/>
   </g>
   <g id="patch_7">
    <path d="M 60.32 234.056
L 318.6 234.056
" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/>
   </g>
   <g id="patch_8">
    <path d="M 60.32 50.64
L 318.6 50.64
" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/>
   </g>
   <g id="text_10">
    <text style="font: 12px 'DejaVu Sans', 'Bitstream Vera Sans', 'Computer Modern Sans Serif', 'Lucida Grande', 'Verdana', 'Geneva', 'Lucid', 'Arial', 'Helvetica', 'Avant Garde', sans-serif; text-anchor: middle" x="189.46" y="44.64" transform="rotate(-0 189.46 44.64)">Objective direction</text>
   </g>
  </g>
  <g id="axes_2">
   <g id="patch_9">
    <path d="M 378.92 234.056
L 637.2 234.056
L 637.2 50.64
L 378.92 50.64
z
" style="fill: #ffffff"/>
   </g>
   <g id="patch_10">
    <path d="M 390.66 234.056
L 495.015556 234.056
L 495.015556 59.374095
L 390.66 59.374095
z
" clip-path="url(#p91fac4523d)" style="fill: #8b9dc3"/>
   </g>
   <g id="patch_11">
    <path d="M 521.104444 234.056
L 625.46 234.056
L 625.46 229.121393
L 521.104444 229.121393
z
" clip-path="url(#p91fac4523d)" style="fill: #17875d"/>
   </g>
   <g id="matplotlib.axis_3">
    <g id="xtick_3">
     <g id="line2d_10">
      <g>
       <use xlink:href="#md3ff575194" x="442.837778" y="234.056" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_11">
      <text style="font: 10px 'DejaVu Sans', 'Bitstream Vera Sans', 'Computer Modern Sans Serif', 'Lucida Grande', 'Verdana', 'Geneva', 'Lucid', 'Arial', 'Helvetica', 'Avant Garde', sans-serif; text-anchor: middle" x="442.837778" y="248.654437" transform="rotate(-0 442.837778 248.654437)">ImpDiff</text>
     </g>
    </g>
    <g id="xtick_4">
     <g id="line2d_11">
      <g>
       <use xlink:href="#md3ff575194" x="573.282222" y="234.056" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_12">
      <text style="font: 10px 'DejaVu Sans', 'Bitstream Vera Sans', 'Computer Modern Sans Serif', 'Lucida Grande', 'Verdana', 'Geneva', 'Lucid', 'Arial', 'Helvetica', 'Avant Garde', sans-serif; text-anchor: middle" x="573.282222" y="248.654437" transform="rotate(-0 573.282222 248.654437)">SOSMC-ULA</text>
     </g>
    </g>
   </g>
   <g id="matplotlib.axis_4">
    <g id="ytick_7">
     <g id="line2d_12">
      <g>
       <use xlink:href="#m8ab01f02c1" x="378.92" y="234.056" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_13">
      <text style="font: 10px 'DejaVu Sans', 'Bitstream Vera Sans', 'Computer Modern Sans Serif', 'Lucida Grande', 'Verdana', 'Geneva', 'Lucid', 'Arial', 'Helvetica', 'Avant Garde', sans-serif; text-anchor: end" x="371.92" y="237.855219" transform="rotate(-0 371.92 237.855219)">0.000</text>
     </g>
    </g>
    <g id="ytick_8">
     <g id="line2d_13">
      <g>
       <use xlink:href="#m8ab01f02c1" x="378.92" y="212.253399" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_14">
      <text style="font: 10px 'DejaVu Sans', 'Bitstream Vera Sans', 'Computer Modern Sans Serif', 'Lucida Grande', 'Verdana', 'Geneva', 'Lucid', 'Arial', 'Helvetica', 'Avant Garde', sans-serif; text-anchor: end" x="371.92" y="216.052618" transform="rotate(-0 371.92 216.052618)">0.025</text>
     </g>
    </g>
    <g id="ytick_9">
     <g id="line2d_14">
      <g>
       <use xlink:href="#m8ab01f02c1" x="378.92" y="190.450799" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_15">
      <text style="font: 10px 'DejaVu Sans', 'Bitstream Vera Sans', 'Computer Modern Sans Serif', 'Lucida Grande', 'Verdana', 'Geneva', 'Lucid', 'Arial', 'Helvetica', 'Avant Garde', sans-serif; text-anchor: end" x="371.92" y="194.250018" transform="rotate(-0 371.92 194.250018)">0.050</text>
     </g>
    </g>
    <g id="ytick_10">
     <g id="line2d_15">
      <g>
       <use xlink:href="#m8ab01f02c1" x="378.92" y="168.648198" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_16">
      <text style="font: 10px 'DejaVu Sans', 'Bitstream Vera Sans', 'Computer Modern Sans Serif', 'Lucida Grande', 'Verdana', 'Geneva', 'Lucid', 'Arial', 'Helvetica', 'Avant Garde', sans-serif; text-anchor: end" x="371.92" y="172.447417" transform="rotate(-0 371.92 172.447417)">0.075</text>
     </g>
    </g>
    <g id="ytick_11">
     <g id="line2d_16">
      <g>
       <use xlink:href="#m8ab01f02c1" x="378.92" y="146.845598" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_17">
      <text style="font: 10px 'DejaVu Sans', 'Bitstream Vera Sans', 'Computer Modern Sans Serif', 'Lucida Grande', 'Verdana', 'Geneva', 'Lucid', 'Arial', 'Helvetica', 'Avant Garde', sans-serif; text-anchor: end" x="371.92" y="150.644817" transform="rotate(-0 371.92 150.644817)">0.100</text>
     </g>
    </g>
    <g id="ytick_12">
     <g id="line2d_17">
      <g>
       <use xlink:href="#m8ab01f02c1" x="378.92" y="125.042997" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_18">
      <text style="font: 10px 'DejaVu Sans', 'Bitstream Vera Sans', 'Computer Modern Sans Serif', 'Lucida Grande', 'Verdana', 'Geneva', 'Lucid', 'Arial', 'Helvetica', 'Avant Garde', sans-serif; text-anchor: end" x="371.92" y="128.842216" transform="rotate(-0 371.92 128.842216)">0.125</text>
     </g>
    </g>
    <g id="ytick_13">
     <g id="line2d_18">
      <g>
       <use xlink:href="#m8ab01f02c1" x="378.92" y="103.240397" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_19">
      <text style="font: 10px 'DejaVu Sans', 'Bitstream Vera Sans', 'Computer Modern Sans Serif', 'Lucida Grande', 'Verdana', 'Geneva', 'Lucid', 'Arial', 'Helvetica', 'Avant Garde', sans-serif; text-anchor: end" x="371.92" y="107.039616" transform="rotate(-0 371.92 107.039616)">0.150</text>
     </g>
    </g>
    <g id="ytick_14">
     <g id="line2d_19">
      <g>
       <use xlink:href="#m8ab01f02c1" x="378.92" y="81.437796" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_20">
      <text style="font: 10px 'DejaVu Sans', 'Bitstream Vera Sans', 'Computer Modern Sans Serif', 'Lucida Grande', 'Verdana', 'Geneva', 'Lucid', 'Arial', 'Helvetica', 'Avant Garde', sans-serif; text-anchor: end" x="371.92" y="85.237015" transform="rotate(-0 371.92 85.237015)">0.175</text>
     </g>
    </g>
    <g id="ytick_15">
     <g id="line2d_20">
      <g>
       <use xlink:href="#m8ab01f02c1" x="378.92" y="59.635196" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_21">
      <text style="font: 10px 'DejaVu Sans', 'Bitstream Vera Sans', 'Computer Modern Sans Serif', 'Lucida Grande', 'Verdana', 'Geneva', 'Lucid', 'Arial', 'Helvetica', 'Avant Garde', sans-serif; text-anchor: end" x="371.92" y="63.434414" transform="rotate(-0 371.92 63.434414)">0.200</text>
     </g>
    </g>
    <g id="text_22">
     <text style="font: 10px 'DejaVu Sans', 'Bitstream Vera Sans', 'Computer Modern Sans Serif', 'Lucida Grande', 'Verdana', 'Geneva', 'Lucid', 'Arial', 'Helvetica', 'Avant Garde', sans-serif; text-anchor: middle" x="337.212187" y="142.348" transform="rotate(-90 337.212187 142.348)">particle-vs-fresh RMSE</text>
    </g>
   </g>
   <g id="patch_12">
    <path d="M 378.92 234.056
L 378.92 50.64
" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/>
   </g>
   <g id="patch_13">
    <path d="M 637.2 234.056
L 637.2 50.64
" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/>
   </g>
   <g id="patch_14">
    <path d="M 378.92 234.056
L 637.2 234.056
" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/>
   </g>
   <g id="patch_15">
    <path d="M 378.92 50.64
L 637.2 50.64
" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/>
   </g>
   <g id="text_23">
    <text style="font: 12px 'DejaVu Sans', 'Bitstream Vera Sans', 'Computer Modern Sans Serif', 'Lucida Grande', 'Verdana', 'Geneva', 'Lucid', 'Arial', 'Helvetica', 'Avant Garde', sans-serif; text-anchor: middle" x="508.06" y="44.64" transform="rotate(-0 508.06 44.64)">Reward-estimate tracking</text>
   </g>
  </g>
  <g id="text_24">
   <text style="font: 12px 'DejaVu Sans', 'Bitstream Vera Sans', 'Computer Modern Sans Serif', 'Lucida Grande', 'Verdana', 'Geneva', 'Lucid', 'Arial', 'Helvetica', 'Avant Garde', sans-serif; text-anchor: middle" x="324" y="14.665125" transform="rotate(-0 324 14.665125)">Claim 5: small-β advantage; large-β comparability (0.5776 vs 0.5777)</text>
  </g>
 </g>
 <defs>
  <clipPath id="pc8daa2ae16">
   <rect x="60.32" y="50.64" width="258.28" height="183.416"/>
  </clipPath>
  <clipPath id="p91fac4523d">
   <rect x="378.92" y="50.64" width="258.28" height="183.416"/>
  </clipPath>
 </defs>
</svg>