50 citations · 99 across the 4 of their papers we have counts for
4 papers
Asynchronous Stochastic Gradient MCMC with Elastic Coupling
Jost Tobias Springenberg, Aaron Klein, Stefan Falkner +1
We consider parallel asynchronous Markov Chain Monte Carlo (MCMC) sampling for problems where we can leverage (stochastic) gradients to define continuous dynamics which explore the…
Relation between Random Walks and Quantum Walks
Stefan Boettcher, Stefan Falkner, Renato Portugal
Based on studies on four specific networks, we conjecture a general relation between the walk dimensions of discrete-time random walks and quantum walks with the (self-inve…
One-Dimensional Coinless Quantum Walks
Renato Portugal, Stefan Boettcher, Stefan Falkner
A coinless, discrete-time quantum walk possesses a Hilbert space whose dimension is smaller compared to the widely-studied coined walk. Coined walks require the direct product of t…
Weak Limit of the 3-State Quantum Walk on the Line
Stefan Falkner, Stefan Boettcher
We revisit the one dimensional discrete time quantum walk with 3 states and the Grover coin. We derive analytic expressions for observed the localization, an long time approximatio…