Methods › Reinforcement Learning › On-Policy TD Control › Sarsa Lambda
Sarsa Lambda
archive 2025-07-28 Description, source and code snippet are the archive's method entry.
Sarsa_INLINE_MATH_1 extends eligibility-traces to action-value methods. It has the same update rule as for TD_INLINE_MATH_1 but we use the action-value form of the TD erorr:
δₜ = Rₜ₊₁ + γq̂(Sₜ₊₁, Aₜ₊₁, 𝕨ₜ) - q̂(Sₜ, Aₜ, 𝕨ₜ)
and the action-value form of the eligibility trace:
𝕫₋₁ = 0
𝕫ₜ = γλ𝕫ₜ₋₁ + ∇q̂(Sₜ, Aₜ, 𝕨ₜ ), 0 ≤t ≤T
Source: Sutton and Barto, Reinforcement Learning, 2nd Edition
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