From Sparse Sensors to Continuous Fields: STRIDE for Spatiotemporal Reconstruction

• URL: http://arxiv.org/abs/2602.04201v1
• Date: Wed, 04 Feb 2026 04:39:23 GMT
• Title: From Sparse Sensors to Continuous Fields: STRIDE for Spatiotemporal Reconstruction
• Authors: Yanjie Tong, Peng Chen,
• Abstract summary: We present STRIDE, a framework that maps high-dimensional spatial fields to a latent state with a temporaltemporal decoder.<n>We show that STRIDE supports super-resolution, supports super-resolution, and remains robust to noise.
• Score: 3.2580743227673694
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Reconstructing high-dimensional spatiotemporal fields from sparse point-sensor measurements is a central challenge in learning parametric PDE dynamics. Existing approaches often struggle to generalize across trajectories and parameter settings, or rely on discretization-tied decoders that do not naturally transfer across meshes and resolutions. We propose STRIDE (Spatio-Temporal Recurrent Implicit DEcoder), a two-stage framework that maps a short window of sensor measurements to a latent state with a temporal encoder and reconstructs the field at arbitrary query locations with a modulated implicit neural representation (INR) decoder. Using the Fourier Multi-Component and Multi-Layer Neural Network (FMMNN) as the INR backbone improves representation of complex spatial fields and yields more stable optimization than sine-based INRs. We provide a conditional theoretical justification: under stable delay observability of point measurements on a low-dimensional parametric invariant set, the reconstruction operator factors through a finite-dimensional embedding, making STRIDE-type architectures natural approximators. Experiments on four challenging benchmarks spanning chaotic dynamics and wave propagation show that STRIDE outperforms strong baselines under extremely sparse sensing, supports super-resolution, and remains robust to noise.

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