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Thank you to everyone who helped us with our question!</div>
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<div><font color="#ff6600" face="Arial" size="1"><span style="color:rgb(12,136,42); font-size:10pt">Holly W. Samuelson | DDes | Registered Architect</span></font></div>
<div><font color="#999999" face="Arial" size="1"><span style="color:rgb(51,51,51); font-size:10pt">Associate Professor | Harvard Graduate School of Design</span></font></div>
<div><font color="#999999" face="Arial" size="1"><span style="color:rgb(51,51,51); font-size:10pt">Co-Head MDes Energy and Environment Program</span></font></div>
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<div id="divRplyFwdMsg" dir="ltr"><font face="Calibri, sans-serif" style="font-size:11pt" color="#000000"><b>From:</b> karol.bandurski@put.poznan.pl <karol.bandurski@put.poznan.pl><br>
<b>Sent:</b> Thursday, July 15, 2021 7:41 AM<br>
<b>To:</b> Samuelson, Holly Wasilowski <hsamuelson@gsd.harvard.edu>; bldg-sim@lists.onebuilding.org <bldg-sim@lists.onebuilding.org><br>
<b>Cc:</b> Salimi, Shide <ssalimi@gsd.harvard.edu><br>
<b>Subject:</b> RE: [Bldg-sim] ISO Precedent paper in multi-objective optimization: statistical comparison of two pareto sets</font>
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<p class="x_MsoNormal"><span style="">Dear Holly,</span></p>
<p class="x_MsoNormal"><span style=""> </span></p>
<p class="x_MsoNormal"><span lang="EN-US" style="">I am not sure if it is what you are looking for, but Team from Eindhoven focused on robustness of Pareto front (so maybe it could be use to compare robustness of two pareto fronts):</span></p>
<p class="x_MsoNormal"><span lang="EN-US" style=""><a href="https://urldefense.proofpoint.com/v2/url?u=https-3A__www.aivc.org_sites_default_files_P-5F1560.pdf&d=DwMFBA&c=WO-RGvefibhHBZq3fL85hQ&r=dOsILCJrs8pyomNNLoIoX3gD8X0UrhsUOE2F0mgz5WA&m=9P5vS0AgXImYBrZKmpdBLuBhtYudHaJEWQbe3GIrh70&s=-kTXWXAqw_Lxf_F1zvOwAeyrto2XPipald6CzQeBFPQ&e=">https://www.aivc.org/sites/default/files/P_1560.pdf</a></span></p>
<p class="x_MsoNormal"><span lang="EN-US" style=""> </span></p>
<p class="x_MsoNormal"><span lang="EN-US" style="">Kind regards,</span></p>
<p class="x_MsoNormal"><span lang="EN-US" style="">Karol</span></p>
<p class="x_MsoNormal"> </p>
<p class="x_MsoNormal" style="background:white"><span lang="EN-US" style="font-size:10.0pt; font-family:"Arial",sans-serif; color:black">---------------------------------------------------------------------------</span></p>
<p class="x_MsoNormal" style="background:white"><span lang="EN-US" style="font-size:10.0pt; font-family:"Arial",sans-serif; color:black">Karol BANDURSKI Ph.D, Assistant Professor
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<p class="x_MsoNormal" style="background:white"><span lang="EN">Faculty of Environmental and Energy Engineering
</span><span lang="EN"></span></p>
<p class="x_MsoNormal" style="background:white"><span lang="EN-US" style="font-size:10.0pt; font-family:"Arial",sans-serif; color:black">Division of Heating, Air Conditioning and Air Protection
</span></p>
<p class="x_MsoNormal" style="background:white"><span lang="EN-US" style="font-size:10.0pt; font-family:"Arial",sans-serif; color:black">Poznan University of Technology</span></p>
<p class="x_MsoNormal"><a href="https://urldefense.proofpoint.com/v2/url?u=https-3A__www.researchgate.net_profile_Karol-5FBandurski&d=DwMFBA&c=WO-RGvefibhHBZq3fL85hQ&r=dOsILCJrs8pyomNNLoIoX3gD8X0UrhsUOE2F0mgz5WA&m=9P5vS0AgXImYBrZKmpdBLuBhtYudHaJEWQbe3GIrh70&s=B9XUXCp60hs_VvZMpXMETikeo9s0uIME-ITSbggUiD4&e="><span lang="EN-US" style="color:blue">https://www.researchgate.net/profile/Karol_Bandurski</span></a><span lang="EN-US"></span></p>
<p class="x_MsoNormal">***</p>
<p class="x_MsoNormal" style="background:white"><span style="font-size:10.0pt; font-family:"Arial",sans-serif; color:black">dr inż. Karol BANDURSKI, Adiunkt</span></p>
<p class="x_MsoNormal">Wydział Inżynierii Środowiska i Energetyki</p>
<p class="x_MsoNormal"><span style="font-size:10.0pt; font-family:"Arial",sans-serif; color:black">Zakład Ogrzewnictwa, Klimatyzacji i Ochrony Powietrza</span></p>
<p class="x_MsoNormal"><span lang="EN-US" style="font-size:10.0pt; font-family:"Arial",sans-serif; color:black">Politechnika Poznańska</span><span lang="EN-US"></span></p>
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<p class="x_MsoNormal"><span lang="EN-US" style=""> </span></p>
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<p class="x_MsoNormal"><b>From:</b> Samuelson, Holly Wasilowski <hsamuelson@gsd.harvard.edu>
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<b>Sent:</b> Wednesday, July 14, 2021 4:48 PM<br>
<b>To:</b> bldg-sim@lists.onebuilding.org<br>
<b>Cc:</b> Salimi, Shide <ssalimi@gsd.harvard.edu><br>
<b>Subject:</b> [Bldg-sim] ISO Precedent paper in multi-objective optimization: statistical comparison of two pareto sets</p>
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<p class="x_MsoNormal"><span style="font-size:12.0pt; color:black">Dear Building Sim,</span></p>
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<p class="x_MsoNormal"><span style="font-size:12.0pt; color:black">Can any of you recommend a precedent paper for us? In short, we want to compare two sets of optimal solutions in two different multi-objective optimizations, to determine whether the characteristics
of the two sets are significantly different.</span></p>
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<p class="x_MsoNormal"><span style="font-size:12.0pt; color:black"> </span></p>
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<p class="x_MsoNormal"><span style="font-size:12.0pt; color:black">Longer version:</span></p>
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<p class="x_MsoNormal"><span style="font-size:12.0pt; color:black">We set up a multi-objective analysis and found a set of optimal solutions (buildings whose simulation results lie on the pareto front). Then we did this again for slightly different objectives,
i.e. different comfort criteria. We now have two sets of "optimal" buildings. They have different characteristics, like insulation levels and window-to-wall ratios. We want to determine if the differences between the two sets are significant. We have ideas
of how to analyze this, but it would be great to see how others have done this in the past. This precedent research could be from any field using optimization, not just building science.</span></p>
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<p class="x_MsoNormal"><span style="font-size:12.0pt; color:black">If you have any leads for us, we'd appreciate it.</span></p>
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<p class="x_MsoNormal"><span style="font-size:12.0pt; color:black">Thanks!</span></p>
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<p class="x_MsoNormal"><span style="font-size:12.0pt; color:black">Holly</span></p>
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<p class="x_MsoNormal" style="background:white"><span style="font-size:10.0pt; font-family:"Arial",sans-serif; color:#0C882A">Holly W. Samuelson | DDes | Registered Architect</span><span style="font-size:10.0pt; font-family:"Tahoma",sans-serif; color:#888888"></span></p>
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<p class="x_MsoNormal" style="background:white"><span style="font-size:10.0pt; font-family:"Arial",sans-serif; color:#333333">Associate Professor | Harvard Graduate School of Design</span><span style="font-size:10.0pt; font-family:"Tahoma",sans-serif; color:#888888"></span></p>
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<p class="x_MsoNormal" style="background:white"><span style="font-size:10.0pt; font-family:"Arial",sans-serif; color:#333333">Co-Head MDes Energy and Environment Program</span><span style="font-size:10.0pt; font-family:"Tahoma",sans-serif; color:#888888"></span></p>
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