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Thoughts on systems, AI, learning, and building things that matter.
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POSTS
cheeger: Differentiable Spectral Embedding for Dense Semantic Segmentation
Building a from-scratch differentiable spectral-segmentation library in PyTorch — hand-coding learned-metric affinity kernels, a cyclic Jacobi + Lanczos eigensolver, and a degeneracy-robust differentiable backward with Lorentzian-broadened eigenvalue-gap gradients stable where eigenvalues collapse at segment boundaries.
engram: Building a Redis-Wire Vector Memory Engine in Rust from Scratch
How I built a Redis-wire-compatible (RESP) vector memory engine in Rust with zero dependencies beyond libc — hand-rolling an HNSW index, SIMD distance kernels in NEON and AVX2+FMA with runtime CPU dispatch, and a single-threaded event-driven I/O core over raw kqueue/epoll.
Divergent Thinking: Astrocytes, the Supervisors of the Tripartite Synapse
Why norepinephrine does not reconfigure brain circuits through neurons but through astrocytes, how the tripartite synapse implements a biological diffusion noise schedule, and what every AI architecture is missing.
Understanding Principles of OOP Through Clash Royale
Inheritance, polymorphism, encapsulation, abstraction, composition, and the diamond problem , explained through one of my favs Clash Royale.
A Quick Deep Dive into Energy Landscapes and Free Energy Models
Why intelligence is not continuation but convergence & exploring energy based models, dynamical memory fields, differential decay, and the geometry of reasoning.
How Spectral Graph Theory Connects to Advanced Memory Dynamics in the Human Brain
Exploring the deep connection between diffusion on graphs, the graph Laplacian, and how the brain consolidates memory through relaxation, inhibition, and cortical smoothing.