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Tensor Is the Might

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eatonphil
Tensor Is the Might
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A technical deep-dive into the implementation of tensor libraries from scratch in C. It explains the mathematical abstractions and memory management required to build neural network foundations.

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Provides foundational knowledge for engineers building high-performance machine learning infrastructure.

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Every good abstraction solves a problem, and this post will cover everything I know so far about a brilliant math abstraction - tensors.

Neural networks, from a simple 2-layer MLP to GPT-5, all boil down to the same thing: floating-point numbers flowing through a graph of operations. This post builds a complete, accelerated tensor library from scratch in C. It is heavily inspired by Bellard's libnc , which unfortunately has not been open-sourced yet.

A tensor is nothing but a flat array of numbers, plus some metadata telling you how to interpret those numbers as a multi-dimensional object. We all learned that 2D arrays can be better represented as 1D array plus a number of rows/columns - this is essentially what a tensor is.

But going beyond two dimensions - we might need some other metadata, such as a generalised shape:

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