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Model Selection Based on Performance Scaling
A research lab is training two different language models, Model Alpha and Model Beta. Their performance, measured by loss (L), is modeled as a function of the computational resources (x) used for training. The relationships are given by the following equations:
- Model Alpha: L(x) = 2.5 * x^-0.1
- Model Beta: L(x) = 5.0 * x^-0.2
The lab has a fixed budget that allows them to use x = 10,000 units of computational resources. Based on these scaling laws, which model should the lab choose to achieve the lowest possible loss with their available resources? Justify your answer with calculations.
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Ch.2 Generative Models - Foundations of Large Language Models
Foundations of Large Language Models
Foundations of Large Language Models Course
Computing Sciences
Application in Bloom's Taxonomy
Cognitive Psychology
Psychology
Social Science
Empirical Science
Science
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Two language models, Model A and Model B, have their performance (loss, L) modeled as a function of a resource
x(wherex > 1). The relationship for each is described by a power law equation:- Model A:
L(x) = 0.5 * x^-0.1 - Model B:
L(x) = 0.5 * x^-0.2
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xis used?- Model A:
Interpreting the Power Law Exponent
Model Selection Based on Performance Scaling