Probabilistic graphical models for real decisions.

Local-currency settlement can reduce dollar demand in one channel without proving that the dollar has been broadly weakened. The causal graph separates settlement, liquidity, reserves, and geopolitical selection.

Vibe coding can make code appear faster while moving risk into shared understanding, review depth, and maintenance. A causal graph keeps those mechanisms separate.

A layoff can be announced during an artificial intelligence investment cycle without proving that artificial intelligence caused the layoff. The causal question is what changed when the investment…

When oil prices jump after sanctions, the obvious temptation is to credit the entire move to the policy. But sanctions often arrive inside a larger conflict shock that…

After a debate, the easiest story is that one night moved the polls. The harder question is how much of the shift belonged to the debate itself and…

When vaccine uptake slips and cases later rise, the causal story still has to pass through trust, exposure, and testing behavior. Confirmed cases are not a harmless slice…

When shelf prices jump after a tariff move, the tariff is an obvious suspect. The harder question is how much of the jump belongs to the tariff itself…

When a toll goes up and congestion falls, the obvious temptation is to read the daily chart as a clean causal story. But dynamic pricing is usually raised…

Pitch limits often look associated with worse injury outcomes because teams put those limits on the arms they already distrust. That is exactly why the causal question has…

A team fires its coach, the record improves, and television decides the mystery is solved. The harder question is how much of the change belonged to the coach…