- Open Access
Erratum to: Generalized Thompson sampling for sequential decision-making and causal inference
© Ortega and Braun; licensee Springer. 2014
- Received: 24 June 2014
- Accepted: 7 August 2014
- Published: 1 October 2014
The original article was published in Complex Adaptive Systems Modeling 2014 2:2
We correct errors in equations (14), (15) and (19) of the main text.
Equations (14) and (15)
and the normalization constant and an outer variational problem as described by equation (16) in the main text. Note that deliberation renders the two variables x and θ dependent.
where we have expanded the fraction by .
with normalization constant . In the limit α → ∞ and β → 0, the Thompson sampling agent is determined by the solutions and p(θ)=p0(θ). Sampling an action from is much cheaper than sampling an action from equation (18) because of the reversed causal order in θ and x, which implies that β/α→ 0 in equation (ii) instead of β/α→∞ as in equation (17).
which is exactly equivalent to p(x) in equation (19). To sample from equation (19), we draw θ~p0(θ) and accept if u≤eα U(x,θ)/e α T , where .
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