Bierkens, Joris; Kamatani, Kengo; Roberts, Gareth O. High-dimensional scaling limits of piecewise deterministic sampling algorithms. (English) Zbl 1504.65002 Ann. Appl. Probab. 32, No. 5, 3361-3407 (2022). MSC: 65C05 60F05 PDFBibTeX XMLCite \textit{J. Bierkens} et al., Ann. Appl. Probab. 32, No. 5, 3361--3407 (2022; Zbl 1504.65002) Full Text: DOI arXiv
Bierkens, Joris; Roberts, Gareth O.; Zitt, Pierre-André Ergodicity of the zigzag process. (English) Zbl 1467.60020 Ann. Appl. Probab. 29, No. 4, 2266-2301 (2019). MSC: 60F05 65C05 PDFBibTeX XMLCite \textit{J. Bierkens} et al., Ann. Appl. Probab. 29, No. 4, 2266--2301 (2019; Zbl 1467.60020) Full Text: DOI arXiv Euclid
Bierkens, Joris; Fearnhead, Paul; Roberts, Gareth The zig-zag process and super-efficient sampling for Bayesian analysis of big data. (English) Zbl 1417.65008 Ann. Stat. 47, No. 3, 1288-1320 (2019). MSC: 65C05 65C60 62F15 60J25 PDFBibTeX XMLCite \textit{J. Bierkens} et al., Ann. Stat. 47, No. 3, 1288--1320 (2019; Zbl 1417.65008) Full Text: DOI arXiv Euclid
Fearnhead, Paul; Bierkens, Joris; Pollock, Murray; Roberts, Gareth O. Piecewise deterministic Markov processes for continuous-time Monte Carlo. (English) Zbl 1403.62148 Stat. Sci. 33, No. 3, 386-412 (2018). MSC: 62M02 62F15 PDFBibTeX XMLCite \textit{P. Fearnhead} et al., Stat. Sci. 33, No. 3, 386--412 (2018; Zbl 1403.62148) Full Text: DOI arXiv Euclid
Bierkens, Joris; Bouchard-Côté, Alexandre; Doucet, Arnaud; Duncan, Andrew B.; Fearnhead, Paul; Lienart, Thibaut; Roberts, Gareth; Vollmer, Sebastian J. Piecewise deterministic Markov processes for scalable Monte Carlo on restricted domains. (English) Zbl 1463.62215 Stat. Probab. Lett. 136, 148-154 (2018). MSC: 62J12 62M05 62F15 65C05 PDFBibTeX XMLCite \textit{J. Bierkens} et al., Stat. Probab. Lett. 136, 148--154 (2018; Zbl 1463.62215) Full Text: DOI arXiv Link
Bierkens, Joris; Roberts, Gareth A piecewise deterministic scaling limit of lifted Metropolis-Hastings in the Curie-Weiss model. (English) Zbl 1370.60039 Ann. Appl. Probab. 27, No. 2, 846-882 (2017). MSC: 60F05 60F17 60J22 65C05 65C40 PDFBibTeX XMLCite \textit{J. Bierkens} and \textit{G. Roberts}, Ann. Appl. Probab. 27, No. 2, 846--882 (2017; Zbl 1370.60039) Full Text: DOI arXiv Euclid