Equation 4 · AI for Science and Medicine in Practice: An Advanced Technical Guide
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the current best observed value. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.
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superscript
A raised number can be a power. When it is a label or bound, it selects a case or the upper limit of a sum; the formula’s structure distinguishes these uses.
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The acquisition function must trade off predicted value against uncertainty, not just rank by predicted value. A pure exploitation policy — always synthesise the top-ranked candidate — collapses quickly onto whatever region of chemical or materials space the initial training data already covered well, and stops finding anything the model did not already believe. The standard fix is an acquisition function such as expected improvement, which for a candidate x with predictive mean , predictive standard deviation , and current best observed value is
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- [6] A mobile robotic chemist ↗
- [5] An autonomous laboratory for the accelerated synthesis of inorganic materials ↗
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