论文标题

(指数级)计算能力的重要性

The Importance of (Exponentially More) Computing Power

论文作者

Thompson, Neil C., Ge, Shuning, Manso, Gabriel F.

论文摘要

硅谷的居民称摩尔定律为“人类历史上最重要的图表”,经济学家发现摩尔的律法驱动的I.T.革命一直是国家生产力增长的最重要来源之一。但是,证实这些主张的数据往往会被抽象出来 - 例如,通过检查I.T.上的支出,而不是I.T.本身或轶事。在本文中,我们汇集了计算能力对五个领域产生的影响的直接定量证据:两个计算铃声(国际象棋和GO)以及三个经济上重要的应用(天气预测,蛋白质折叠和油探索)。计算能力解释了这些域中绩效改进的49%-94%。但是,尽管经济理论通常假设输入和产出之间存在权力关系关系,但我们发现需要计算能力的指数增加来获得这些结果的线性改进。这有助于阐明为什么摩尔定律的计算能力的指数增长对进步如此重要,以及为什么随着摩尔的法律破裂,许多领域的绩效在经济上变得越来越脆弱。

Denizens of Silicon Valley have called Moore's Law "the most important graph in human history," and economists have found that Moore's Law-powered I.T. revolution has been one of the most important sources of national productivity growth. But data substantiating these claims tend to either be abstracted - for example by examining spending on I.T., rather than I.T. itself - or anecdotal. In this paper, we assemble direct quantitative evidence of the impact that computing power has had on five domains: two computing bellwethers (Chess and Go), and three economically important applications (weather prediction, protein folding, and oil exploration). Computing power explains 49%-94% of the performance improvements in these domains. But whereas economic theory typically assumes a power-law relationship between inputs and outputs, we find that an exponential increase in computing power is needed to get linear improvements in these outcomes. This helps clarify why the exponential growth of computing power from Moore's Law has been so important for progress, and why performance improvements across many domains are becoming economically tenuous as Moore's Law breaks down.

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