LGMLJun 18, 2025

Neural Canonical Polyadic Factorization for Traffic Analysis

arXiv:2506.15079v41 citationsh-index: 1
Originality Incremental advance
AI Analysis

This addresses missing data issues in intelligent transportation systems for urban mobility optimization, though it appears incremental as it combines existing CP decomposition with neural networks.

The paper tackles the problem of pervasive missing data in spatiotemporal traffic analysis by proposing a Neural Canonical Polyadic Factorization (NCPF) model, which demonstrates superiority over six state-of-the-art baselines on six urban traffic datasets.

Modern intelligent transportation systems rely on accurate spatiotemporal traffic analysis to optimize urban mobility and infrastructure resilience. However, pervasive missing data caused by sensor failures and heterogeneous sensing gaps fundamentally hinders reliable traffic modeling. This paper proposes a Neural Canonical Polyadic Factorization (NCPF) model that synergizes low-rank tensor algebra with deep representation learning for robust traffic data imputation. The model innovatively embeds CP decomposition into neural architecture through learnable embedding projections, where sparse traffic tensors are encoded into dense latent factors across road segments, time intervals, and mobility metrics. A hierarchical feature fusion mechanism employs Hadamard products to explicitly model multilinear interactions, while stacked multilayer perceptron layers nonlinearly refine these representations to capture complex spatiotemporal couplings. Extensive evaluations on six urban traffic datasets demonstrate NCPF's superiority over six state-of-the-art baselines. By unifying CP decomposition's interpretable factor analysis with neural network's nonlinear expressive power, NCPF provides a principled yet flexible approaches for high-dimensional traffic data imputation, offering critical support for next-generation transportation digital twins and adaptive traffic control systems.

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