  Bounding and estimating entropy production has long been an important goal of
nonequilibrium thermodynamics. We recently derived a lower bound on the total
and subsystem entropy production rates of continuous stochastic systems. This
`Jensen bound' has led to fundamental limits on the performance of collective
transport systems and permitted thermodynamic inference of free-energy
transduction between components of bipartite molecular machines. Our original
derivation relied on a number of assumptions, which restricted the bound's
regime of applicability. Here we derive the Jensen bound far more generally for
multipartite overdamped Langevin dynamics. We then consider several extensions,
allowing for position-dependent diffusion coefficients, underdamped dynamics,
and non-multipartite overdamped dynamics. Our results extend the Jensen bound
to a far broader class of systems.
