Logarithmic action repetition penalty

Read the equation

Penalize repeated use of an action using the logarithm of one plus its count. The penalty is zero at count zero and grows sublinearly for nonnegative counts when λ_rep is nonnegative.

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 Φ_repeat as the quantity being defined or updated by this relation.

2. Uses logarithmic scaling; its base and the positivity of its argument matter.

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 log base, counting window and λ_rep are not specified.

Original context

The Megamind Equation Atlas: Penalize repeated use of an action using the logarithm of one plus its count. The penalty is zero at count zero and grows sublinearly for nonnegative counts when λ_rep is nonnegative.

Φ_repeat = λ_rep · log(1 + n_a)

Related builds