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SLAMarXiv:2008.00504

コピュラモデルを用いた変分フィルタリングによるSLAM

Variational Filtering with Copula Models for SLAM

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SLAMにおける変数間の依存関係を多変量ガウス分布ではなくコピュラモデルで表現し、逐次モンテカルロ推定器に統合して未知パラメータを勾配最適化で学習する手法を提案した論文。

著者: John D. Martin, Kevin Doherty, Caralyn Cyr, Brendan Englot, John Leonard

分類: cs.RO, stat.ML

原文アブストラクト

The ability to infer map variables and estimate pose is crucial to the operation of autonomous mobile robots. In most cases the shared dependency between these variables is modeled through a multivariate Gaussian distribution, but there are many situations where that assumption is unrealistic. Our paper shows how it is possible to relax this assumption and perform simultaneous localization and mapping (SLAM) with a larger class of distributions, whose multivariate dependency is represented with a copula model. We integrate the distribution model with copulas into a Sequential Monte Carlo estimator and show how unknown model parameters can be learned through gradient-based optimization. We demonstrate our approach is effective in settings where Gaussian assumptions are clearly violated, such as environments with uncertain data association and nonlinear transition models.

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