All Articles
Extended archive of working documents, literature reviews, and code snippets. These notes reflect my ongoing learning process.
DL
Sep 2026
Reprezentacje grup cyklicznych w sieciach neuronowych
Analiza tego, jak dwuwarstwowy perceptron uczy się reprezentować dodawanie modulo p poprzez teorię charakterów grup cyklicznych.
OPT
Jul 2026
Optimization Methods on an Energy Landscape
Comparing five gradient-based optimization methods across three synthetic non-convex landscapes.
DL
Feb 2026
Transformer Architecture - Self-Attention
Analysis of self-attention mechanisms.
MATH
Feb 2026
Maximum Likelihood Estimation for Multivariate Gaussian
Step-by-step mathematical derivation of the MLE for the mean vector and covariance matrix.
MATH
Mar 2026
Numerical Analysis of Dynamical Systems: The Euler Method
Formal derivation and error analysis of the Euler method, developed as an extension of an optional discretization task.