3 Scaling Laws and Their Application In this section important scaling laws and their use (and influence) will be taken up for discussion.

Sometimes it is convenient to use a logarithmic scale of units instead of a linear scale (such as the Richter scale for earthquake magnitudes, or the stellar magnitude scale for the brightness of stars) …

Scaling is a scale symmetry that relates small and large scales of a system in scale free, power law manner: without a characteristic scale. Because it is a symmetry, in systems with …

Successfully scaling impact can require continuous reflection on the four guiding principles (justification, optimal scale, coordination, and dynamic evaluation) from start to finish of a research project.

Are mere bugs and mice so much sturdier than larger animals, or is something else taking place here? Galileo Galilei, the great Florentine scientist, was the first to point out that similar objects, no matter …

Lessons from scaling LLMs Transfer to a different distribution incurs a constant penalty but otherwise improves roughly in line with performance on the training set.

Scaling Proper scaling is an art. In my research work, I usually change my choices of scales and dimensionless parameters several times. Nevertheless, there are some basic principles that can be …