Probably Approximately Correct Maximum A Posteriori Inference
Quick summary
arXiv:2601.16083v2 Announce Type: replace-cross Abstract: Computing the conditional mode of a distribution, better known as the maximum a posteriori (MAP) assignment, is a fundamental task in probabilistic inference. However, MAP is generally intractable, and remains hard even under many common structural constraints and approximation schemes. We take a novel approach inspired by multi-armed bandits, recasting MAP as a best arm identification task. We introduce probably approximately correct (PAC) algorithms for MAP that provide provably optimal solutions in both the fixed-confidence and fixed
Key takeaways
- arXiv:2601.16083v2 Announce Type: replace-cross Abstract: Computing the conditional mode of a distribution, better known as the maximum a posteriori (MAP) assignment, is a fundamental task in probabilistic inference.
- However, MAP is generally intractable, and remains hard even under many common structural constraints and approximation schemes.
- We take a novel approach inspired by multi-armed bandits, recasting MAP as a best arm identification task.
Why it matters
The importance of “Probably Approximately Correct Maximum A Posteriori Inference” will be measured by what changes in practice. User behavior, access conditions, verifiable performance and responsible-use outcomes are the signals worth following.

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