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Hamiltonian Monte Carlo (HMC) is arguably the dominant statistical inference algorithm used in most popular "first-order differentiable" Probabilistic Programming Languages (PPLs).
Hybrid Monte Carlo
Simon Duane, Anthony D Kennedy, Brian J Pendleton, and Duncan Roweth. 1987 · 1987
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MCMC Using Hamiltonian dynamics
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The No-U-turn Sampler: Adaptively Setting Path Lengths in Hamiltonian Monte Carlo
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A New Approach to Probabilistic Programming Inference. In Artificial Intelligence and Statistics
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Reflection, Refraction, and Hamiltonian Monte Carlo. In Advances in Neural Information Processing Systems . 3007–3015
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The Stan Math Library: Reverse-mode Automatic Differentiation in C++
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Stan: A Probabilistic Programming Language for Bayesian Inference and Optimization
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The Zero Set of a Real Analytic Function
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A Robust Framework for Estimating Linguistic Alignment in Twitter Conversations. In Proceedings of the 25th international conference on world wide web . International World Wide Web Conferences Steering Committee, 637–648
Probabilistic Programming in Python Using PyMC3
John Salvatier, Thomas V Wiecki, and Christopher Fonnesbeck. 2016 · 2016
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Pyro: Deep Probabilistic Programming
Bingham Eli, Jonathan P Chen, Martin Jankowiak, Theofanis Karaletsos, Fritz Obermeyer, Neeraj Pradhan, Rohit Singh, Paul Szerlip, and Noah Goodman. 2017 · 2017
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Discontinuous Hamiltonian Monte Carlo for Sampling Discrete Parameters
Akihiko Nishimura, David Dunson, and Jianfeng Lu. 2017 · 2017
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Power Analysis of Single-cell RNA-sequencing Experiments
Valentine Svensson, Kedar Nath Natarajan, Lam-Ha Ly, Ricardo J Miragaia, Charlotte Labalette, Iain C Macaulay, Ana Cvejic, and Sarah A Teichmann. 2017 · 2017
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Dustin Tran, Matthew D Hoffman, Rif A Saurous, Eugene Brevdo, Kevin Murphy, and David M Blei. 2017 · 2017
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Gabriel Doyle, Dan Yurovsky, and Michael C Frank. 2016 · 2016
Cited alongside, same era.
Ovarian Cancer Screening and Mortality in the UK Collaborative Trial of Ovarian Cancer Screening (UKCTOCS): A Randomised Controlled Trial
Ian J Jacobs, Usha Menon, Andy Ryan, Aleksandra Gentry-Maharaj, Matthew Burnell, Jatinderpal K Kalsi, Nazar N Amso, Sophia Apostolidou, Elizabeth Benjamin, Derek Cruickshank, et al · 2016
Cited alongside, same era.