Notes On Computational-To-Statistical Gaps: Predictions Using Statistical Physics
PORTUGALIAE MATHEMATICA(2018)
摘要
In these notes we describe heuristics to predict computational-to-statistical gaps in certain statistical problems. These are regimes in which the underlying statistical problem is information-theoretically possible although no efficient algorithm exists, rendering the problem essentially unsolvable for large instances. The methods we describe here are based on mature, albeit non-rigorous, tools from statistical physics.
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关键词
Computational-to-statistical gaps, phase transitions, cavity method, replica method, approximate message passing
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