Optimization

Generative Modeling
Illustration of GAN training process showing adversarial competition between generator and discriminator

Understanding GANs: From Fundamentals to Objective Functions

An in-depth guide to GANs: how two neural networks compete to generate realistic data, the math behind it, and the evolution of objective functions that stabilize training.

Scientific Computing
Radix-2 DIT butterfly diagram showing the fundamental FFT operation with twiddle factor multiplication

FFTW Compiler in Haskell

A Haskell reimplementation of FFTW’s genfft metaprogram, generating straight-line optimized C kernels for FFTs via a symbolic DAG and algebraic simplification.

Scientific Computing
Flowchart diagram showing the recursive backtracking algorithm for constraint satisfaction in schedule generation

Term Schedule Optimizer

A scraper and recursive backtracking search over Drexel’s Term Master Schedule, enumerating every course schedule that satisfies a set of hard and soft constraints.