8 papers
Measurement speed limit and Cramér-Rao bound for time-averaged estimators
Hiroyuki Odajima, Andreas Dechant
We consider a measured system containing a parameter of interest and the problem of estimating this parameter by observing a second, coupled measurement system . We show…
Speed Limit for Information Acquisition in Stochastic Learning Dynamics
Shuta Kobayashi, Andreas Dechant
Neural networks acquire internal representations through learning. In this work, we formulate stochastic gradient descent (SGD) as a Markovian stochastic process and derive a Fishe…
Renormalized entropy production for optimal transport in jump processes: Make conservative forces optimal again
Andreas Dechant, Jann van der Meer
For continuous-space diffusion processes, there is a strong connection between conservative forces and entropy production. For a given time evolution of the system's state, the ent…
Markovian thermodynamics of non-Markovian Langevin equations
Andreas Dechant, Kiyoshi Kanazawa
We develop the thermodynamics of non-Markovian generalized Langevin equations by embedding them in a high-dimensional Markovian representation involving auxiliary degrees of freedo…
Near-optimality of conservative driving in discrete systems
Jann van der Meer, Andreas Dechant
Transferring a physical system from an initial to a final state while minimizing energetic losses is an interdisciplinary control problem that bridges stochastic thermodynamics and…
Entropy production and non-Gaussianity of fast processes at weak damping
Mario A. Ciampini, Jakob Rieser, Nikolai Kiesel +1
We present a method of estimating the rate of entropy production in underdamped dynamics by decomposing it into contributions originating in different non-equilibrium effects. Spec…
Finite-frequency fluctuation-response inequality
Andreas Dechant
We derive an inequality relating the finite-frequency linear response and fluctuations of an observable in a physical system. The relation holds for arbitrary observables and pertu…
Stochastic thermodynamics for classical non-Markov jump processes
Kiyoshi Kanazawa, Andreas Dechant
Stochastic thermodynamics investigates energetic and entropic bounds in small systems, but its foundational results rely on the Markov (memoryless) assumption. Although the Markov…