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osmarks 2024-07-12 07:02:42 +00:00 committed by wikimind
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The principle on which scaling laws are based is that straight lines on graphs are the most powerful force in the universe. If a sufficiently smooth trendline (on a linear or log scale) is discovered, the universe will contrive to extend this trend line (until it doesn't; see [[Moore's Law]]). Scaling laws are important to [[biology]], as organisms are constrained by limits such as heat dissipation, gas/chemical exchange across membranes or via lungs, and power consumption, and [[deep learning]], in which metrics such as [[training loss]] usually scale smoothly according to power laws, due to the [[fundamental apiostructure of reality]]. The principle on which scaling laws are based is that straight lines on graphs are the most powerful force in the universe. If a sufficiently smooth trendline (on a linear or log scale) is discovered, the universe will contrive to extend this trend line (until it doesn't; see [[Moore's Law]]). Scaling laws are important to [[biology]] (as organisms are constrained by limits such as heat dissipation, gas/chemical exchange across membranes or via lungs, and power consumption and will expand up to those limits) and [[deep learning]], in which metrics such as [[training loss]] usually scale smoothly according to power laws, due to the [[fundamental apiostructure of reality]].