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A Trust Crisis In Simulation-Based Inference? Your Posterior Approximations Can Be Unfaithful

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arxiv 2110.06581 v3 pith:PTZFZGGG submitted 2021-10-13 stat.ML cs.LG

A Trust Crisis In Simulation-Based Inference? Your Posterior Approximations Can Be Unfaithful

classification stat.ML cs.LG
keywords posteriorapproximationsinferencealgorithmsneuralsequentialsimulation-basedapproximate
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We present extensive empirical evidence showing that current Bayesian simulation-based inference algorithms can produce computationally unfaithful posterior approximations. Our results show that all benchmarked algorithms -- (Sequential) Neural Posterior Estimation, (Sequential) Neural Ratio Estimation, Sequential Neural Likelihood and variants of Approximate Bayesian Computation -- can yield overconfident posterior approximations, which makes them unreliable for scientific use cases and falsificationist inquiry. Failing to address this issue may reduce the range of applicability of simulation-based inference. For this reason, we argue that research efforts should be made towards theoretical and methodological developments of conservative approximate inference algorithms and present research directions towards this objective. In this regard, we show empirical evidence that ensembling posterior surrogates provides more reliable approximations and mitigates the issue.

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