Scaling Law
(Redirected from scaling law)
Jump to navigation
Jump to search
A Scaling Law is a law (principle) that can describe how a scaleable system behavior changes with its system size.
- Context:
- It can be used to predict how a system's behavior or performance will change as the system's size or other parameters are scaled.
- It can help in understanding the limitations and potentials of Scalable Systems.
- It can range from being a Theoretical Scaling Law to being an Empirical Scaling Law.
- It can involve the relationship between a system's size and its Cost Efficiency, Energy Efficiency, or Performance Metrics.
- It can range from being a Linear Scaling Law (where effects scale linearly with size) to being a Non-Linear Scaling Law (where effects scale exponentially or logarithmically with size).
- ...
- Example(s):
- Metabolic Scaling Law in biology, which describes how an organism's metabolic rate scales with its body size.
- Moore's Law in computer science, predicting the exponential growth of the number of transistors in a dense integrated circuit over time.
- LLM Scaling Law in machine learning, describing how the performance of large language models scales with model size and training data.
- Economic Scaling Law, relating the size of an economy to various economic indicators.
- ...
- Counter-Example(s):
- A law that describes a system's behavior independent of its size or scale.
- A principle that applies only under fixed or constant size conditions.
- ...
- See: System Theory, Model Scaling, Performance Scaling, Economic Growth Model, Biological Growth Model.