Writings about AI, maths, programming, and my curiosity about the world.https://cachenova.github.io/https://cachenova.github.io/posts/learning-to-simulate-the-idea-behind-my-undergrad-research/https://cachenova.github.io/posts/learning-to-simulate-the-idea-behind-my-undergrad-research/A reflective write-up on simulating the concept behind my undergraduate research and why it matters for learning and experimentation.Sat, 25 Apr 2026 18:00:00 GMThttps://cachenova.github.io/posts/tensors-the-bricks-of-pytorch/https://cachenova.github.io/posts/tensors-the-bricks-of-pytorch/A structured introduction to tensors in PyTorch, covering storage, dtype, view, shape, stride, and offset as the core ideas behind how tensors work.Sun, 19 Apr 2026 18:00:00 GMThttps://cachenova.github.io/posts/learning-cuda-through-matrix-multiplication/https://cachenova.github.io/posts/learning-cuda-through-matrix-multiplication/A personal walkthrough of finally trying CUDA with matrix multiplication, how the thread mapping works, and how I profiled it against NumPy in a Colab-friendly setup.Sun, 12 Apr 2026 18:00:00 GMThttps://cachenova.github.io/posts/lit-lab/compressing-reality-a-pca-deep-dive/https://cachenova.github.io/posts/lit-lab/compressing-reality-a-pca-deep-dive/A practical guide to Principal Component Analysis (PCA) covering the intuition, mathematical foundations, and a step-by-step implementation. Learn how PCA performs dimensionality reduction and why it is widely used in machine learning and data analysis.Sun, 05 Apr 2026 16:40:00 GMT