Papers › Modeling Continuous Stochastic Processes with Dynamic Normalizing Flows

Modeling Continuous Stochastic Processes with Dynamic Normalizing Flows

24 Feb 2020NeurIPS 2020 12arXiv:2002.10516archive 2025-07-28

Ruizhi Deng, Bo Chang, Marcus A. Brubaker, Greg Mori, Andreas Lehrmann

Normalizing flows transform a simple base distribution into a complex target distribution and have proved to be powerful models for data generation and density estimation. In this work, we propose a novel type of normalizing flow driven by a differential deformation of the Wiener process. As a result, we obtain a rich time series model whose observable process inherits many of the appealing properties of its base process, such as efficient computation of likelihoods and marginals. Furthermore, our continuous treatment provides a natural framework for irregular time series with an independent arrival process, including straightforward interpolation. We illustrate the desirable properties of the proposed model on popular stochastic processes and demonstrate its superior flexibility to variational RNN and latent ODE baselines in a series of experiments on synthetic and real-world data.

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Density EstimationIrregular Time SeriesTime SeriesTime Series Analysis

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