https://blog.yellowflash.in/ Posts on computing, math and beauty by VinothKumar Raman. en Mon, 15 Jun 2026 00:00:00 +0530 https://blog.yellowflash.in/posts/2026-06-15-polynomial-fit-a-rabbit-hole.html https://blog.yellowflash.in/posts/2026-06-15-polynomial-fit-a-rabbit-hole.html Mon, 15 Jun 2026 00:00:00 +0530 What I thought was ordinary least squares turned into Vandermonde conditioning, Forsythe's orthogonal polynomials and Chebyshev. The monomials aren't really orthogonal. https://blog.yellowflash.in/posts/2026-06-03-you-understand-by-forgetting-while-your-agent-cant.html https://blog.yellowflash.in/posts/2026-06-03-you-understand-by-forgetting-while-your-agent-cant.html Wed, 03 Jun 2026 00:00:00 +0530 Why your coding agent compresses against the average of every codebase instead of yours and why forgetting is part of intelligence. Built on Kolmogorov complexity. https://blog.yellowflash.in/posts/2026-03-13-information-theory-for-programmers.html https://blog.yellowflash.in/posts/2026-03-13-information-theory-for-programmers.html Fri, 13 Mar 2026 00:00:00 +0530 Information, entropy, and cross-entropy from a programmer's intuition. Ends at the loss function your LLM is trained on. https://blog.yellowflash.in/posts/2026-03-03-fixpoints-for-clarity.html https://blog.yellowflash.in/posts/2026-03-03-fixpoints-for-clarity.html Tue, 03 Mar 2026 00:00:00 +0530 Fixpoints as a tool to understand and make sense of algorithms like Page rank, Nash Equilibrium, Bellman Optimality and Expectation Maximization. https://blog.yellowflash.in/posts/2025-05-29-programming-bitcoin-handwaved.html https://blog.yellowflash.in/posts/2025-05-29-programming-bitcoin-handwaved.html Thu, 29 May 2025 00:00:00 +0530 Reading Programming Bitcoin carefully, and digging into the finite-field math the book hand-waves. https://blog.yellowflash.in/posts/2016-01-12-regular-expressions.html https://blog.yellowflash.in/posts/2016-01-12-regular-expressions.html Tue, 12 Jan 2016 00:00:00 +0530 We have a general understanding of what regular expressions can do. But this one explores what it can't. Formally putting a pin on when we are asking too much from it. https://blog.yellowflash.in/posts/2015-11-01-implementing-fp-01.html https://blog.yellowflash.in/posts/2015-11-01-implementing-fp-01.html Sun, 01 Nov 2015 00:00:00 +0530 Exploring lambda calculus without any typing. Building notions of numbers, booleans etc... just from lambda expressions.