用时间序列重构体数据,训练更快更准
From Scalars to Time Series: Rethinking Implicit Neural Representations for Time-Varying Volumetric Data

- 将时空数据转为空间位置的时间序列,按整段时序监督
- 重建精度提升,训练成本降低近一半
- 适合处理动态不均的时空数据,如医学影像
针对时变体数据的隐式神经表示(INRs)通常依赖密集采样时空坐标进行训练,导致计算开销大且难以利用时间结构。本文重新审视这一设计,提出将数据视为空间位置对应的时间序列,采用序列级监督而非逐坐标标量采样。该方法避免了密集时空采样,通过结构化学习每个空间点的完整时序演化。实验表明,该方法兼容多种现有INR架构,显著提升重建质量并大幅降低训练成本。进一步结合专家混合(MoE)架构,其性能优于基础重构方案及现有基于MoE的INR方法,在异质动态场景下实现更强的容量分配能力。
原文摘要 · Abstract (English)
Implicit neural representations (INRs) for time-varying volumetric data are typically trained using dense sampling over spatiotemporal coordinates, where each observation corresponds to a single point in space and time. This coordinate-wise formulation requires extensive sampling during optimization, leading to high computational cost and inefficient use of temporal structure. In this work, we revisit this design choice and show that dense spatiotemporal sampling is not necessary for learning time-varying fields. Instead, we represent the data as a collection of spatially indexed time series and train INRs using sequence-level supervision over each spatial location, rather than coordinate-wise scalar samples. This reformulation eliminates the need for dense spatiotemporal sampling and instead learns each spatial location from its full temporal evolution in a structured manner. We demonstrate that this representation is compatible with a range of existing INR architectures and consistently improves reconstruction quality, while significantly reducing training cost. Furthermore, we show that this formulation can be combined with mixture-of-experts architectures, and that our MoE instantiation further improves reconstruction quality compared to both the base reformulation and existing MoE-based INR methods, providing a stronger capacity allocation under heterogeneous temporal dynamics.
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