Why do conjugate priors matter in production?
mediumAnswer
- Closed-form posterior updates → no MCMC needed, O(1) update per new observation → scales to streaming / online settings.
- Examples: (1) Beta-Bernoulli for CTR bandits, (2) Gamma-Poisson for arrival-rate estimation, (3) Normal-Normal for personalization.
- Even when the model isn't strictly conjugate, industry teams often prefer a well-tuned conjugate approximation to full MCMC for latency reasons.
Check yourself — multiple choice
- Never
- Closed-form O(1) updates → streaming / online / low-latency systems (Beta-Bernoulli for CTR, Gamma-Poisson for rates, etc.) vs slow MCMC
- Random
- Same as full MCMC
Conjugate priors: O(1) closed-form updates; streaming / bandits.
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