Domain recurrent state through Φ

Read the equation

Combine a domain-specific transformation of the current state with a scaled previous domain state, then apply Φ. This is a recurrent update whose memory strength is influenced by γ.

Its role in the build

The Megamind Equation Atlas

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 H_{t+1}^{(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

• The shape and meaning of Φ and F^(i) must be defined. The neighboring scalar unity score is not automatically a valid activation for a vector or tensor state.

Original context

The Megamind Equation Atlas: Combine a domain-specific transformation of the current state with a scaled previous domain state, then apply Φ. This is a recurrent update whose memory strength is influenced by γ.

H_{t+1}^{(i)} = Φ(F^{(i)}(X_t) + γ H_t^{(i)})

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