A Slices Perspective for Incremental Nonparametric Inference in High Dimensional State Spaces

• URL: http://arxiv.org/abs/2405.16453v1
• Date: Sun, 26 May 2024 06:52:56 GMT
• Title: A Slices Perspective for Incremental Nonparametric Inference in High Dimensional State Spaces
• Authors: Moshe Shienman, Ohad Levy-Or, Michael Kaess, Vadim Indelman,
• Abstract summary: We introduce an innovative method for incremental nonparametric probabilistic inference in high-dimensional state spaces. Our approach leverages slices from high-dimensional surfaces to efficiently approximate posterior distributions of any shape.
• Score: 25.16567521220103
• License: http://creativecommons.org/licenses/by-nc-sa/4.0/
• Abstract: We introduce an innovative method for incremental nonparametric probabilistic inference in high-dimensional state spaces. Our approach leverages \slices from high-dimensional surfaces to efficiently approximate posterior distributions of any shape. Unlike many existing graph-based methods, our \slices perspective eliminates the need for additional intermediate reconstructions, maintaining a more accurate representation of posterior distributions. Additionally, we propose a novel heuristic to balance between accuracy and efficiency, enabling real-time operation in nonparametric scenarios. In empirical evaluations on synthetic and real-world datasets, our \slices approach consistently outperforms other state-of-the-art methods. It demonstrates superior accuracy and achieves a significant reduction in computational complexity, often by an order of magnitude.

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