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Inferring 3D cellular properties from 2D microscopy is difficult when a reference instrument reports only population statistics rather than labels for individual cells. Here we develop a population-supervised framework that maps single 2D red-cell images to latent biophysical quantities and aggregates them to mean corp...
A certified, differentiable estimator is used to bring the calculus into learning dynamics: grokking, where a complexity order parameter is known but has not been made to act, and the algorithmic estimator's distinct contribution is timing (when to fire and when to release), not attribution.
A decision-support pipeline combining disease-specific biomarker correlation graphs, ordinary differential equations (ODEs), deep sequence classification, and retrieval-augmented generation (RAG) is developed, with a decoupling between grounding and diagnostic correctness.
F-ICL is an open benchmark and toolkit that exhaustively enumerates the 86 million valid programs of length on a Turing-complete machine F, complement-symmetrised to remove output-polarity bias, and compute the exact posterior under a declared bounded Levin--Solomonoff prior.
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