Main points: (1) Conformal Inference can be made applicable in many #stats problems (2) There are lots of misconceptions about Conformal Inference (3) Try it!
1/n
Conformal Inference was designed for generating prediction intervals with guaranteed coverage in standard #ML problems.
Nevertheless, it can be modified to be applicable in
✔️Causal inference
✔️Survival analysis
✔️Election night model
✔️Outlier detection
✔️Risk calibration
2/n
Misconceptions about conformal inference:
❌ Conformal intervals only have marginal coverage and tend to be wide
✔️ Conformal intervals w/ proper conformity scores achieve conditional coverage & efficiency (short length) if the model is correctly specified
3/n
Misconceptions about conformal inference:
❌ Conformal inference is slow
✔️ Split conformal inference incurs almost negligible computational overhead (nearly as fast as the algorithm it wraps around)
4/n
Misconceptions about conformal inference:
❌ Conformal inference can’t be used with Bayesian procedures
✔️ Conformal inference can not only wrap around Bayesian methods, but also achieve the validity (w/ a simple adjustment) in both Bayesian and Frequentist sense.
5/n
I’m so proud that my job talk convinced many folks to read more about Conformal Inference. There are tons of exciting methodological questions (distribution shifts, dependence, conditional coverage, …) and real-world applications.
It’s a very🔥area now! Come and join us!
6/6
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Call F_2 & F_2^0 the classes of dists satisfying 1-3 & 1-4.
Hansen proves if \hat{β} is unbiased under F_2 for all Σ, then GLS (OLS) is BUE under F_2 (F_2^0).