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Author

W. Troiani

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Preprint Sep 2026

Solomonoff Induction and Singular Integrals

The Solomonoff distribution $M$ assigns an a priori probability to a finite binary string $z$ by summing over all programs whose output begins with $z$, weighting a program of length $\ell$ by $2^{-\ell}$. Thus, likely strings are those with many short explanations. This appears to be a purely discrete notion of comple...

W. Troiani, Daniel Murfet · 0 citations
#machine learning Preprint Sep 2026

Interpretability for Turing Machines

We show that susceptibilities, an interpretability technique developed for neural networks, can identify the presence of algorithmic structure in Turing machines by probing the local loss landscape of a learning problem for noisy Turing machines introduced by Murfet and Troiani (arXiv:2504.08075). We prove that symmetr...

Billy Snikkers, Rumi Salazar, Daniel Murfet et al. · 0 citations

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