Medical diagnosis and treatment is NP-complete

Medical diagnosis and treatment is NP-complete
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DOI:
10.1080/0952813x.2020.1737581
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发表时间:
2020-03-13
影响因子:
2.2
通讯作者:
Carlson, Kristen W.
Carlson, Kristen W.
中科院分区:
计算机科学4区
文献类型:
--
作者:
Arle, Jeffrey. E.;Carlson, Kristen W.

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人们对追求以程序为驱动的、按算法分配保健资源,包括计算机辅助医疗诊断和治疗,有很大的兴趣。关于MDT的计算复杂性,人们知之甚少;然而,如果确定了复杂性,那么复杂性与MDT自动化的相关性如何。我们以几种方式分析MDT的计算复杂性:(1)证明MDT在计算上是难处理的(NP完全,NPC)通过减少旅行销售员(TSP)和集合覆盖(2)相反,示出了易于处理的形式的MDT的示例,以及(3)示出了,撇开TSP和SETCOVER,存在计算效率,基于人类诊断方法的医学驱动搜索方法。计算表明,在所有可能的集合的空间中,实际的重复治疗集合的稀疏性是天文数字(例如,10(-204,678))。虽然MDT的计算复杂性在理论上是有趣的,但实用地揭示MDT的实际人类认知实践将加速人工智能的发展,以帮助并最终取代医生。
There is great interest in the pursuit of process-driven, algorithmic allocation of health-care resources, including computer-aided medical diagnosis and treatment (MDT). Little is understood regarding the computational complexity of MDT; however, and if determined, how relevant the complexity would be to automating MDT. We approach analysing the computational complexity of MDT in several ways: (1) proving that MDT is computationally intractable (NP-complete, NPC) by reducing the travelling salesperson (TSP) and set-cover (SETCOVER) problems to MDT, (2) showing, in contrast, an example of MDT in tractable form, and (3) showing that, leaving aside TSP and SETCOVER, there are computationally efficient, heuristic-driven search methods based on human diagnostician methods. Calculations show that the sparseness of actual symptom-treatments sets in the space of all possible sets is astronomical (e.g., 10(-204,678)). While the computational complexity of MDT is interesting theoretically, pragmatically uncovering actual human cognitive practices of MDT will accelerate the development of artificial intelligence to assist and eventually replace physicians.