The origin of Bayesian IRL — the paper that introduced the reward posterior and the PolicyWalk MCMC sampler. Everything in this line of work (bajgar-2024-valuewalk, main-vi-paper) descends from here. See thesis-hub / reading-roadmap.

Reference

  • Title: Bayesian Inverse Reinforcement Learning
  • Authors: Deepak Ramachandran, Eyal Amir
  • Venue: IJCAI 2007 (Proceedings of the 20th International Joint Conference on Artificial Intelligence), pp. 2586–2591
  • Link: https://www.ijcai.org/Proceedings/07/Papers/416.pdf

In one line

Casts IRL as Bayesian inference: treat the reward function as a random variable with a prior, and use the expert’s demonstrations as evidence. The likelihood is a Boltzmann/softmax over the optimal -values — each expert action in state has probability (rationality parameter ). Inference over the resulting reward posterior is done by PolicyWalk, an MCMC (grid random-walk Metropolis) sampler; the posterior mean minimises expected reward loss.

Relationship to other papers

  • Foundational ancestor of bajgar-2024-valuewalk. ValueWalk’s key move is to sample in Q-value space rather than reward space as PolicyWalk does here — avoiding repeatedly re-solving the forward MDP. This note is the baseline that framing is defined against.
  • Same Bayesian-IRL lineage that main-vi-paper reframes onto variational-inference instead of MCMC.
  • Engine: mcmc (PolicyWalk is a Metropolis random walk over a reward grid).

My notes

TBD — fill in as I read.

Key equations / method

  • Likelihood:
  • Posterior:
  • PolicyWalk: MCMC over a discretised reward grid; each step perturbs one reward component, recomputes , accepts/rejects Metropolis-style. (Details TBD.)

Relevance to thesis

TBD — the historical foundation; anchors the “reward-space vs. Q-space sampling” contrast the thesis builds on.

Questions for Ondřej