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This research introduces a Temporal Convolutional Network capable of reconstructing missing segments in trajectory data by utilizing both past and future context, effectively relaxing standard causality constraints. The approach combines weighted mean squared error with boundary continuity penalties to handle sensor failures or occlusions common in real-world datasets. While the study uses synthetic 2D trajectories for validation, it represents a significant methodological advance in handling incomplete time-series inputs within machine learning frameworks.
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Inferring Missing Trajectory Data with Temporal Convolutional Networks

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arXiv:2607.25147v1 Announce Type: new Abstract: Trajectory data collected in real-world settings is frequently incomplete due to sensor failure, communication loss, or occlusion. We address the task of \emph{trajectory inpainting}: reconstructing contiguous missing segments from observed context. We propose a Temporal Convolutional Network (TCN) with symmetric dilation that relaxes the standard causality constraint, allowing each time step to draw on both past and future observations, a property that is essential for inpainting, but absent from forecasting-oriented architectures. The model is trained with a composite loss that combines weighted mean squared error, boundary--continuity penalties, and a smoothness regularizer. Trained on a synthetic dataset of $1,000$ (train), $200$ (validation), and $300$ (test) two-dimensional trajectories with randomly placed 20% masked segments, the model achieves good R$^{2}$, MSE and MAE metrics.

Abstract:Trajectory data collected in real-world settings is frequently incomplete due to sensor failure, communication loss, or occlusion. We address the task of \emph{trajectory inpainting}: reconstructing contiguous missing segments from observed context. We propose a Temporal Convolutional Network (TCN) with symmetric dilation that relaxes the standard causality constraint, allowing each time step to draw on both past and future observations, a property that is essential for inpainting, but absent from forecasting-oriented architectures. The model is trained with a composite loss that combines weighted mean squared error, boundary--continuity penalties, and a smoothness regularizer. Trained on a synthetic dataset of $1,000$ (train), $200$ (validation), and $300$ (test) two-dimensional trajectories with randomly placed 20% masked segments, the model achieves good R$^{2}$, MSE and MAE metrics.

Artificial Intelligence (cs.AI)

arXiv:2607.25147 [cs.AI]

(or arXiv:2607.25147v1 [cs.AI] for this version)

https://doi.org/10.48550/arXiv.2607.25147 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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