Tag: mathematics
All the articles with the tag "mathematics".
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Your Integral Has a Posterior: Probabilistic Numerics and Computation as Inference
An integral, an ODE solve, or an optimum is an estimate built from a finite number of function evaluations. Probabilistic numerics treats that computation as inference, so its error bar can travel with the number into the decision it feeds.
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You Are Your Relationships: The Yoneda Lemma
Category theory's most famous lemma says something almost philosophical: an object is completely determined by its relationships to everything else. The same idea quietly powers embeddings, interfaces, and most good abstraction.