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状態推定arXiv:2503.01274

DnDフィルタ:拡散モデルを用いた動的システムのための微分可能な状態推定

DnD Filter: Differentiable State Estimation for Dynamic Systems using Diffusion Models

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拡散モデルを条件付けに用いることで、プロセスノイズのガウス性などの制約なしに非線形な状態更新を可能にする微分可能フィルタを提案し、視覚オドメトリで従来手法を上回る精度を達成した。

著者: Ziyu Wan, Lin Zhao

分類: cs.RO

原文アブストラクト

This paper proposes the DnD Filter, a differentiable filter that utilizes diffusion models for state estimation of dynamic systems. Unlike conventional differentiable filters, which often impose restrictive assumptions on process noise (e.g., Gaussianity), DnD Filter enables a nonlinear state update without such constraints by conditioning a diffusion model on both the predicted state and observational data, capitalizing on its ability to approximate complex distributions. We validate its effectiveness on both a simulated task and a real-world visual odometry task, where DnD Filter consistently outperforms existing baselines. Specifically, it achieves a 25\% improvement in estimation accuracy on the visual odometry task compared to state-of-the-art differentiable filters, and even surpasses differentiable smoothers that utilize future measurements. To the best of our knowledge, DnD Filter represents the first successful attempt to leverage diffusion models for state estimation, offering a flexible and powerful framework for nonlinear estimation under noisy measurements.

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