Thermodynamics of Learning: A Typed Four-Component Accounting of Memory, Fit, and Value
What a finite learning device has recorded and what will hold value for it on future tasks are not the same quantity. We develop a typed accounting for finite-state learning devices that separates four components: a training-side fit functional $Φ_{\mathrm{fit}}$, the record-correlation stock $J_{D}=I(M;D)$, an update-side search ledger $σ_{M}$, and an operational capital value $V(M;T,b)$. This value is the work gap between an informed protocol class and a blind class obtained by deleting the memory-read port and re-optimizing from scratch. (I) Separation: for every $n$, there is a device family on which record correlation and world correlation grow by $n\ln 2$ while the capital gain is e...
| Authors | Akihito Sudo |
|---|---|
| Primary category | cond-mat.stat-mech |
| Published | 13 August 2026 |
| Last updated at source | 13 August 2026 |
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