Restriction of the global objective

Read the equation

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

1. Read L_i^\* as the quantity being defined or updated by this relation.

2. Substitute the source-defined variables or recorded values and follow the displayed arithmetic and indexing exactly.

3. 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

A. Each neuron gets full-system logic inside its own environment

Neuron i sees:

L_i^\* = L^\*|_{E \rightarrow E_{\ell(i)}}

So each neuron solves the full problem, but through:
•	its environment slice E_{\ell(i)}
•	its own structural parameters (Uᵢ, Vᵢ, dKᵢ)
•	its own design + system transitions

This means:

L_i^\* = L^\*|_{E \rightarrow E_{\ell(i)}}

Related builds