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New method learns probabilistic filters using proper scoring rules

Researchers have developed a new method called the proper scoring ensemble filter (PSEF) for Bayesian filtering of dynamical systems. This transformer-based map approximates the filtering distribution using synthetic state-observation trajectories and is trained with strictly proper scoring rules, such as the energy score, to reward probabilistic accuracy. Numerical experiments demonstrate that PSEF can accurately approximate complex filtering distributions, including nonlinear, non-Gaussian, and multi-modal posteriors, outperforming classical and other learning-based methods in data assimilation tasks. AI

IMPACT This research could lead to more accurate and robust AI systems for analyzing and predicting the behavior of complex, dynamic systems.

RANK_REASON The cluster contains two identical arXiv preprints detailing a new research method.

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AI-generated summary · Google Gemini · from 2 sources. How we write summaries →

New method learns probabilistic filters using proper scoring rules

COVERAGE [2]

  1. arXiv cs.LG TIER_1 English(EN) · Andrew Stuart ·

    Learning Probabilistic Filters with Strictly Proper Scoring Rules

    Bayesian filtering of partially and noisily observed dynamical systems seeks to infer the evolving conditional distribution of the state of a dynamical system, given observations, in an online fashion. This Bayesian filtering distribution is the natural object for uncertainty qua…

  2. arXiv stat.ML TIER_1 English(EN) · Eviatar Bach, Ricardo Baptista, Jochen Br\"ocker, Bohan Chen, Andrew Stuart ·

    Learning Probabilistic Filters with Strictly Proper Scoring Rules

    arXiv:2606.26497v1 Announce Type: cross Abstract: Bayesian filtering of partially and noisily observed dynamical systems seeks to infer the evolving conditional distribution of the state of a dynamical system, given observations, in an online fashion. This Bayesian filtering dist…