78 citations · 362 across the 40 of their papers we have counts for
46 papers
Dimension-independent spectral gap of polar slice sampling
Daniel Rudolf, Philip Schär
Polar slice sampling, a Markov chain construction for approximate sampling, performs, under suitable assumptions on the target and initial distribution, provably independent of the…
Gibbsian polar slice sampling
Philip Schär, Michael Habeck, Daniel Rudolf
Polar slice sampling (Roberts & Rosenthal, 2002) is a Markov chain approach for approximate sampling of distributions that is difficult, if not impossible, to implement efficiently…
Geodesic slice sampling on the sphere
Michael Habeck, Mareike Hasenpflug, Shantanu Kodgirwar +1
Probability measures on the sphere form an important class of statistical models and are used, for example, in modeling directional data or shapes. Due to their widespread use, but…
Reversibility of elliptical slice sampling revisited
Mareike Hasenpflug, Viacheslav Telezhnikov, Daniel Rudolf
We extend elliptical slice sampling, a Markov chain transition kernel suggested in Murray, Adams and MacKay 2010, to infinite-dimensional separable Hilbert spaces and discuss its w…
Wasserstein convergence rates of increasingly concentrating probability measures
Mareike Hasenpflug, Daniel Rudolf, Björn Sprungk
For we consider the sequence of probability measures , where is determined by a density that is…
Viterbo's conjecture as a worm problem
Daniel Rudolf
In this paper, we relate Viterbo's conjecture from symplectic geometry to Minkowski versions of worm problems which are inspired by the well-known Moser worm problem from geometry.…