Towards Data Science

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"A context compiler does not make a codebase smaller, but it makes passing that code to an LLM practical by filtering for what actually belongs in the prompt." Emmimal P Alexander's new deep dive unpacks the process of building a context compiler for coding agents.

Coding Agents Don’t Need Bigger Context Windows — They Need a Context Compiler | Towards Data Science

Most coding agents treat prompt construction like retrieval: gather more files, add more context, hope the model figures it out. But that approach breaks down fast. As context grows, irrelevant code


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"The Jacobian Conjecture asks whether a particular type of function must always be invertible. The disproof of the conjecture is simply a counterexample: a function that meets all the conjecture’s requirements but provably cannot be inverted." James O’Brien presents an accessible explainer.

A Simplified View of the Jacobian Conjecture | Towards Data Science

The full conjecture is stated over abstract fields, but the counterexample is a concrete 3D function that we can explain and visualize using familiar geometric ideas and a little algebra.

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"You may be able to get away with it, as it provides a sensible default, but in the long run, especially when encountering a non-stationary or difficult optimization landscape, you will fail. Hard." Sam Black explains why you shouldn't treat the Adam optimizer as an automatic go-to.

Don’t Just “Throw Adam at It”: Misunderstanding Adam Will Cost You | Towards Data Science

You "vibe coded" the import. Understand Adam's optimization dynamics, why it fails spectacularly, and how to fix it.

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