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Reuses the global loss with its environment restricted or projected to the named layer or neuron. This keeps the objective structure consistent while changing the variables and measurements supplied to it.
Terms & definitions
The recovered passage does not supply a separate symbol table. Read the source context for the notation used in this version; familiar letters may carry different meanings in other builds.
How it works
Read L^\*_\ell as the quantity being defined or updated by this relation.
Substitute the source-defined variables or recorded values and follow the displayed arithmetic and indexing exactly.
Use this version’s variable definitions and update order. The same symbol may be assigned a different meaning in another build.
Assumptions & limits
Source recovery establishes that the expression appears in this record. Its mathematical validity, implementation behavior, and interpretation must be assessed separately. See the linked source and research notes for the checks available for this version.
Original context
Read the surrounding source passage
C. Layers become “partial observers” of the same global optimization law
Mathematically:
L^\*_\ell = L^\*|_{E \rightarrow E_\ell}
This means:
• Each layer “sees” the full law
• But filtered through its own environment
• So it becomes a projection of the global law
This turns the system into a family of consistent sub-models of one global objective.Exact original notation
L^\*_\ell = L^\*|_{E \rightarrow E_\ell}Related builds
Sources & provenance
L^\*_\ell = L^\*|_{E \rightarrow E_\ell}