slide 1 tutorial: optimal learning in the laboratory sciences forming the decision set december 10,...
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Slide 1
Tutorial:Optimal Learning in the Laboratory Sciences
Forming the decision set
December 10, 2014
Warren B. PowellKris Reyes
Si ChenPrinceton University
http://www.castlelab.princeton.edu
Slide 1
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Lecture Outline
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Forming the decision set
![Page 3: Slide 1 Tutorial: Optimal Learning in the Laboratory Sciences Forming the decision set December 10, 2014 Warren B. Powell Kris Reyes Si Chen Princeton](https://reader036.vdocuments.us/reader036/viewer/2022083009/5697bfd91a28abf838caf830/html5/thumbnails/3.jpg)
Decision Set
Discrete Decisions E.g. different catalysts: Fe, Ni, PHN, Al2O3+Fe, Al2O3+Ni
Continuous Decisions E.g. temperature, pressure, flow rate
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Fe NiPHN
Al 2O 3
+Fe
Al 2O 3
+Ni
Nan
otub
e L
engt
h
Puretzky et al. Appl. Phys. A 81 (2005)
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Decision Set
Decisions may be complex 1,000 metal organic frameworks 87,000 combinations of substituents placed at different sites 10,000 combinations of four different parameters
• Temperature• Concentration• Ratio• Density
With so many choices and such small budgets, why consider all these combinations?
![Page 5: Slide 1 Tutorial: Optimal Learning in the Laboratory Sciences Forming the decision set December 10, 2014 Warren B. Powell Kris Reyes Si Chen Princeton](https://reader036.vdocuments.us/reader036/viewer/2022083009/5697bfd91a28abf838caf830/html5/thumbnails/5.jpg)
Decision Set
Decisions may be complex 1,000 metal organic frameworks 87,000 combinations of substituents placed at different sites 10,000 combinations of four different parameters
• Temperature• Concentration• Ratio• Density
With so many choices and such small budgets, why consider all these combinations?
![Page 6: Slide 1 Tutorial: Optimal Learning in the Laboratory Sciences Forming the decision set December 10, 2014 Warren B. Powell Kris Reyes Si Chen Princeton](https://reader036.vdocuments.us/reader036/viewer/2022083009/5697bfd91a28abf838caf830/html5/thumbnails/6.jpg)
Decision Set
Considering all decisions It is still important to explicitly consider all the possible
options, even when the experimental budget is small. We can generalize what we learn from one experiment
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Are we thinking inside the box?
Are there only 5 possible catalysts (Fe, Ni, PHN, Al2O3+Fe, Al2O3+Ni)? How about Co?
Are there only 3 continuous parameters? How about humidity?
Should we only consider one small temperature range, e.g. 800-1000 Celsius? How about 600-1500 Celsius?
Other choices or system? How about changing substrates?
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