作者首先引入Neural Scaling Laws (神经标度律/神经缩放定律),即 深度学习的误差随着训练集大小、模型大小或两者的幂数而下降。 尽管在这一规律的推动下,深度学习的性能在近年来实现了突飞猛进的发展。 但是从另一个角度看,这种幂律缩放也导致了巨量的资源消耗,包括数据收集、计算以及能源消耗等各个方面。 而且按照幂...
Despite the developed solutions rely on a series of approximations, they precisely capture all the scaling laws associated with the problem. Zones of applicability of these limiting solutions are calculated, and their dependence on the problem parameters is investigated....
2) Inverse Power-Law Scaling 逆幂律度尺度法则3) power law 幂次规律 1. Based on the basic idea of adaptive variable structure control (AVSC), this paper deduces the reaching condition of adaptive sliding-mode, and proposes three laws according to which the slope of a switching line ...
Scaling laws of laboratory experiments are very important in shedding light on the behavior of similar real systems. The importance of this concept in petroleum engineering is the fact that oil recovery from reservoir matrix blocks, for example, can be predicted from experimental tests conducted on ...
Power laws have been widely used to represent results of processes as disparate as creation of craters on cosmic bodies (Baldwin1965—sizes of craters on Mars) to socioeconomics (Gabaixand Ioannides 2004—sizes of cities,Pareto1896—income distribution), language (Zipf1949—usage of words), and...
(fBm)ina,niteintervalwithabsorbingboundariesateachend.AnalyticalargumentsareusedtosuggestasimplescalinglawfortheMFPTandnumericalexperimentsareperformedtoverifyitsaccuracy.ThesameapproachisusedtoderiveascalinglawforfBmwithapower-lawclock(fBm-plc).TheMFPTscalinglawsareemployedtodevelopscalinglawsforthe,nite-size...
Scaling laws for magnetic minor hysteresis loops that are asymmetric and have their origin at an arbitrary point under a bias field have been examined for Fe single crystals with tensile deformation. We found that there exist power-law relations between field-dependent parameters of asymmetrical minor...
1) power-law幂律度2) scale free 幂律度分布3) Inverse Power-Law Scaling 逆幂律度尺度法则4) power-law 幂律 1. The frequency-size distribution and frequency-interval distribution of city fires are found to satisfy power-law relation, suggesting that there is connection between large and small...
What is the Power Law? Thepower law(also called the scaling law) states that a relative change in one quantity results in a proportional relative change in another. The simplest example of the law in action is a square; if you double the length of a side (say, from 2 to 4 inches) ...
We rather suggest that these are universal features of large-scale networks when considered macroscopically. These results put caution on the interpretation of scaling laws found in nature. 展开 关键词: Quantitative Biology - Neurons and Cognition ...