Read the equation
Adds a norm measuring mismatch between desired design D′ and observed behavior B, weighted operating cost, state regularization R and design regularization R_D. It supplies a scalar optimization target only after the terms, units and weights are defined.
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^\*(S',D') 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
L_\ell^\*(S',D') = \text{local loss derived from global loss}
But all layers share the same “parent”:
L^\*(S',D') = \|D' - B\| + W \cdot \text{Cost} + R + R_D
This is allowed and mathematically safe because:
• the form of the loss is identical
• only the environment term changes per layer
• each derived loss is a restriction of the global one:
L_\ell^\* = L^\*|_{\text{layer } \ell}Exact original notation
L^\*(S',D') = \|D' - B\| + W \cdot \text{Cost} + R + R_DRelated builds
Sources & provenance
L^\*(S',D') = \|D' - B\| + W \cdot \text{Cost} + R + R_D
L^\*(S',D') = \|D' - B\| + W \cdot \text{Cost} + R + R_D