1 code implementation • 9 Oct 2023 • Moritz Schauer, Marcel Wienöbst
In the context of inferring a Bayesian network structure (directed acyclic graph, DAG for short), we devise a non-reversible continuous time Markov chain, the "Causal Zig-Zag sampler", that targets a probability distribution over classes of observationally equivalent (Markov equivalent) DAGs.
1 code implementation • 13 Jun 2023 • Gaurav Arya, Ruben Seyer, Frank Schäfer, Kartik Chandra, Alexander K. Lew, Mathieu Huot, Vikash K. Mansinghka, Jonathan Ragan-Kelley, Christopher Rackauckas, Moritz Schauer
We develop an algorithm for automatic differentiation of Metropolis-Hastings samplers, allowing us to differentiate through probabilistic inference, even if the model has discrete components within it.
1 code implementation • 16 Oct 2022 • Gaurav Arya, Moritz Schauer, Frank Schäfer, Chris Rackauckas
Automatic differentiation (AD), a technique for constructing new programs which compute the derivative of an original program, has become ubiquitous throughout scientific computing and deep learning due to the improved performance afforded by gradient-based optimization.
1 code implementation • 26 May 2022 • Raphael Sonabend, Florian Pfisterer, Alan Mishler, Moritz Schauer, Lukas Burk, Sumantrak Mukherjee, Sebastian Vollmer
In this paper we explore how to utilise existing survival metrics to measure bias with group fairness metrics.
4 code implementations • 7 Oct 2020 • Frank van der Meulen, Moritz Schauer
The guided generative model can be incorporated in different approaches to efficiently sample latent states and parameters conditional on observations.
Computation Methodology Primary 62H22, 62M20, secondary 60J05, 60J25
1 code implementation • 3 Feb 2020 • Alexis Arnaudon, Frank van der Meulen, Moritz Schauer, Stefan Sommer
Stochastically evolving geometric systems are studied in shape analysis and computational anatomy for modelling random evolutions of human organ shapes.
Numerical Analysis Computational Engineering, Finance, and Science Numerical Analysis Computational Physics
3 code implementations • 16 Jan 2020 • Joris Bierkens, Sebastiano Grazzi, Frank van der Meulen, Moritz Schauer
We introduce the use of the Zig-Zag sampler to the problem of sampling conditional diffusion processes (diffusion bridges).
Statistics Theory Probability Methodology Statistics Theory
1 code implementation • 15 May 2018 • Shota Gugushvili, Frank van der Meulen, Moritz Schauer, Peter Spreij
In this work, we study the problem of learning the volatility under market microstructure noise.
4 code implementations • 10 Apr 2018 • Shota Gugushvili, Frank van der Meulen, Moritz Schauer, Peter Spreij
The observations are assumed to be $n$ independent realisations of a Poisson point process on the interval $[0, T]$.
Methodology 62G20 (Primary) 62M30 (Secondary)
1 code implementation • 30 Jan 2018 • Shota Gugushvili, Frank van der Meulen, Moritz Schauer, Peter Spreij
Given discrete time observations over a fixed time interval, we study a nonparametric Bayesian approach to estimation of the volatility coefficient of a stochastic differential equation.
Methodology Statistics Theory Statistical Finance Statistics Theory 62G20 (Primary), 62M05 (Secondary)
1 code implementation • 11 Dec 2017 • Marcin Mider, Moritz Schauer, Frank van der Meulen
At each observation time, a transformation of the state of the process is observed with noise.
Computation 60J60, 65C05 (Primary), 62F15 (Secondary)
1 code implementation • 14 Nov 2013 • Moritz Schauer, Frank van der Meulen, Harry van Zanten
A Monte Carlo method for simulating a multi-dimensional diffusion process conditioned on hitting a fixed point at a fixed future time is developed.
Probability 60J60 (Primary), 65C30 (Secondary), 65C05