Gradient-based MCMC samplers for dynamic causal modelling

  title={Gradient-based MCMC samplers for dynamic causal modelling},
  author={Biswa Sengupta and Karl J. Friston and William D. Penny},
In this technical note, we derive two MCMC (Markov chain Monte Carlo) samplers for dynamic causal models (DCMs). Specifically, we use (a) Hamiltonian MCMC (HMC-E) where sampling is simulated using Hamilton's equation of motion and (b) Langevin Monte Carlo algorithm (LMC-R and LMC-E) that simulates the Langevin diffusion of samples using gradients either on a Euclidean (E) or on a Riemannian (R) manifold. While LMC-R requires minimal tuning, the implementation of HMC-E is heavily dependent on… CONTINUE READING
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