Category: Uncategorized

  • What’s there? I want to cover like some basics of probability before I get into Gaussians. Saliently, this covers LLN and CLT. Why do I write this? I wanted to create an authoritative document I could refer to for later. Thought that I might as well make it public (build in public, serve society and…

  • What’s there? I want to try and cover every other kinda trivial / small things related to matrices / LinAlg in this. This covers Affine spaces (Other important matrix bits) Inner products of functions (Other important matrix bits) Orthogonal projections (Other important matrix bits) Matrix approximation (Other important matrix bits) Rotations and quaternions (This post!) Why do I write…

  • What’s there? I want to try and cover every other kinda trivial / small things related to matrices / LinAlg in this. This covers Affine spaces (This post!) Inner products of functions (This post!) Orthogonal projections (This post!) Matrix approximation (This post!) Rotations and quaternions Why do I write this? I wanted to create an…

  • What’s there? I’ve started reading DDIA! These are some short notes form Chapter 1. Why do I write this? I wanted to create an authoritative document I could refer to for later. Thought that I might as well make it public (build in public, serve society and that sort of stuff). Also, just reading the…

  • What’s there? There are basically 5 (ಐದು / पाँच) types of matrix decompositions that are like super important. I strive to go in depth into all of them. These are Eigendecomposition (Matrix Decompositions 1) QR decomposition (Matrix Decompositions 2) Cholesky decomposition (Matrix Decompositions 2) LU decomposition (Matrix Decompositions 2) (perhaps the most important) Singular Value…

  • What’s there? There are basically 5 (ಐದು / पाँच) types of matrix decompositions that are like super important. I strive to go in depth into all of them. These are Eigendecomposition (Matrix Decompositions 1) QR decomposition (This post!) Cholesky decomposition (This post!) LU decomposition (This post!) (perhaps the most important) Singular Value Decomposition Why do…

  • Whats this? It’s a document on PCA, Spectral Clustering and t-SNE, duh? All of these are used to make sense of the structure of data. More importantly, all of these are intricately related to eigendecomposition (Matrix Decompositions 1). Why do I write this? As always, I wanted to create an authoritative document I could refer…

  • What’s there? There are basically 5 (ಐದು / पाँच) types of matrix decompositions that are like super important. I strive to go in depth into all of them. These are Eigendecomposition (This post!) QR decomposition Cholesky decomposition LU decomposition (perhaps the most important) Singular Value Decomposition Edit (July 20, 2025): Added proof of spectral theorem.…

  • (Written earlier; GitHub permalink) Find week 1 at Trying to Teach Freshmen Robotics 1. Weeks 5 to 8 Stuff that I sent over PyTorch Robotic Vision (with OpenCV) Evidently, progress in the stuff I could teach was slow owing to academics (ironic, isn’t it?). Regardless, they are still interested in RRC and a couple of…

  • (Written on 29th December, 2025; GitHub permalink) Essentially, I, along with a collaborator (Mitansh K), did the following – Write Read Replication Record Append Re-Replication Stale Replica Handling Garbage Collection Operation Log Data Integrity using a codebase of 7200 LOC in Go. Evidently, we missed out on snapshoting and directory management and have left them…