Philip Schär

3 citations · 7 across the 5 of their papers we have counts for

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math.ST2023

A Dimension-Independent Bound on the Wasserstein Contraction Rate of a Geodesic Random Walk on the Sphere

Philip Schär, Thilo D. Stier

We theoretically analyze the properties of a geodesic random walk on the Euclidean $d$ -sphere. Specifically, we prove that the random walk's transition kernel is Wasserstein contra…

math.ST2023★ 1 cited

Wasserstein contraction and spectral gap of slice sampling revisited

Philip Schär

We propose a new class of Markov chain Monte Carlo methods, called $k$ -polar slice sampling ( $k$ -PSS), as a technical tool that interpolates between and extrapolates beyond uniform…

math.ST2023★ 3 cited

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…