Understanding emergence in language models

Mathematics

Alan Thanickal

2024

Matthias Englert, Ranko Lazic

A study into how language models work

My research aims to find the optimum schemes while minimising the computational cost and preserving

the correct amplitude for aerodynamically generated noise. This will involve a numerical technique called finite differences, which is used for solving partial differential equations modelling the flow of the sound waves. ]]>

Finite Difference Methods in Aero-Acoustic

Mathematics

One major problem faced by engineers developing jet engines is adhering to stringent aircraft noise regulations. Engines need to be designed to minimise as much noise as possible. To solve such a problem, one cannot find the optimum conditions with pen and paper, and instead

must produce computer simulations. Current techniques used in these problems can perform poorly for waves of rapidly varying amplitude (how loud the sound waves are).

My research aims to find the optimum schemes while minimising the computational cost and preserving

the correct amplitude for aerodynamically generated noise. This will involve a numerical technique called finite differences, which is used for solving partial differential equations modelling the flow of the sound waves.

must produce computer simulations. Current techniques used in these problems can perform poorly for waves of rapidly varying amplitude (how loud the sound waves are).

My research aims to find the optimum schemes while minimising the computational cost and preserving

the correct amplitude for aerodynamically generated noise. This will involve a numerical technique called finite differences, which is used for solving partial differential equations modelling the flow of the sound waves.

Edward Holloway

2023

Base Sizes of Imprimitive Actions of the Alternating Groups

Mathematics

Dan Shomron

2023