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Equation 1 · Materials Discovery Is Becoming a Breeding Program: Selection, Synthesis, and the GNoME Dispute

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P(deployed)=P(stable)×P(synthesizable∣stable)×P(scalable∣synthesizable)×P(supply-chain viable∣scalable)P(\text{deployed}) = P(\text{stable}) \times P(\text{synthesizable} \mid \text{stable}) \times P(\text{scalable} \mid \text{synthesizable}) \times P(\text{supply-chain viable} \mid \text{scalable})

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PP

Symbol P

P is part of the quantity the equation computes from the expression on the right.

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=

=

The expressions on both sides represent the same quantity under the stated assumptions.

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multiplication

multiplication

Multiply the quantities on either side.

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subtraction

subtraction

Subtract the following term or group from the preceding one. A leading minus marks a negative quantity.

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The evolutionary framing does real analytic work once the pipeline above is treated as a selection funnel rather than a single machine. A useful way to write down what a candidate has to survive to become a deployed material is a chain of conditional probabilities, each stage filtering out most of what entered it: P(deployed)=P(stable)×P(synthesizable∣stable)×P(scalable∣synthesizable)×P(supply-chain viable∣scalable)P(\text{deployed}) = P(\text{stable}) \times P(\text{synthesizable} \mid \text{stable}) \times P(\text{scalable} \mid \text{synthesizable}) \times P(\text{supply-chain viable} \mid \text{scalable}). GNoME and MatterGen attack only the first term, and the 2023-2024 dispute is essentially an argument about whether even that first term was measured honestly. But the more interesting evolutionary claim in this article’s premise is what happens to the later terms once the first one becomes cheap to compute at scale: selection pressure does not disappear, it…
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The evolutionary framing does real analytic work once the pipeline above is treated as a selection funnel rather than a single machine. A useful way to write down what a candidate has to survive to become a deployed material is a chain of conditional probabilities, each stage filtering out most of what entered it: P(deployed)=P(stable)×P(synthesizable∣stable)×P(scalable∣synthesizable)×P(supply-chain viable∣scalable)P(\text{deployed}) = P(\text{stable}) \times P(\text{synthesizable} \mid \text{stable}) \times P(\text{scalable} \mid \text{synthesizable}) \times P(\text{supply-chain viable} \mid \text{scalable}). GNoME and MatterGen attack only the first term, and the 2023-2024 dispute is essentially an argument about whether even that first term was measured honestly. But the more interesting evolutionary claim in this article’s premise is what happens to the later terms once the first one becomes cheap to compute at scale: selection pressure does not disappear, it relocates to whichever stage is now the tightest bottleneck — the way a population that solves one predator pressure simply comes under stronger selection from the next one, be it food scarcity or a different predator.

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