$\vec r\times \vec F$torque's blog

Torque's Blog.



This blog aims to have some write-ups of weird mini-research projects I try to explore in my free time. Expect to see a smorgasbord of topics spanning CS, ML/AI, Physics and Math.

If you have any feedback or suggestions on one of my posts, project-colab ideas or want to discuss problems you are thinking about, feel free to reach out to me at blog[at]itstorque.com!

9TH FEBRUARY
2025

💠 Perimeters of Polygonal Voronoi Cells

A derivation of the perimeter of cells in a Voronoi diagram



5TH FEBRUARY
2025

🧠 Is 4 the magic number in Language Models?

Why is the MLP input embedding space $4\times$ that the original embedding dimension? How does that affect feature extraction?



4TH FEBRUARY
2025

$\mathsf{NC^0}$

Quantum Advantage in Constant Depth Circuits

A separation between classical and quantum circuits of constant depth ($\mathsf{NC^0}$ vs $\mathsf{QNC^0}$).



14TH JANUARY
2025

🎛️ Correlations of Phase Shift Keying ($N$-PSK)

Calculating expressions for the auto and crosscorrelation of the BPSK, QPSK, 8-PSK and QAM.



12TH JANUARY
2025

☕️ Simulating Espresso Extraction

A mathematical formulation and exploration of modelling espresso extraction using coupled differential algebraic equations.



6TH JANUARY
2025

🔐 Analyzing Pin Code Breaches

What pin codes do people use?



4TH JANUARY
2025

🎉 Hello World — Beginnings of a Blog

The beginnings of a blog



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