This is a news story, published by Quanta Magazine, that relates primarily to Impagliazzo news.
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computational complexity theoristsQuanta Magazine
•87% Informative
A 2009 tool known as the regularity lemma lets computer scientists break a given problem into simpler pieces.
New work provides a way to analyze those hard-to-understand problems.
The advance comes from an unexpected area of computer science: algorithmic fairness.
The new results show that the fairness tools can effectively map out the different parts of a hard problem and isolate the precise regions of the problem that make it hard to solve.
Multiaccuracy, the weaker fairness tool, is equivalent to the regularity lemma.
Researchers found that a fairness algorithm’s ability to maintain accurate predictions within subpopulations could be applied to strengthen another lemma, known as Impagliazzo 's hard-core lemma. The lemma helps us understand the structure of a hard problem by looking at all of its possible inputs and asking which ones would be the hardest to solve.
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