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ProtoTS: Learning Hierarchical Prototypes for Explainable Time Series Forecasting

Machine Learning 2026-03-02 v4

Abstract

While deep learning has achieved impressive performance in time series forecasting, it becomes increasingly crucial to understand its decision-making process for building trust in high-stakes scenarios. Existing interpretable models often provide only local and partial explanations, lacking the capability to reveal how heterogeneous and interacting input variables jointly shape the overall temporal patterns in the forecast curve. We propose ProtoTS, a novel interpretable forecasting framework that achieves both high accuracy and transparent decision-making through modeling prototypical temporal patterns. ProtoTS computes instance-prototype similarity based on a denoised representation that preserves abundant heterogeneous information. The prototypes are organized hierarchically to capture global temporal patterns with coarse prototypes while capturing finer-grained local variations with detailed prototypes, enabling expert steering and multi-level interpretability. Experiments on multiple realistic benchmarks, including a newly released LOF dataset, show that ProtoTS not only exceeds existing methods in forecast accuracy but also delivers expert-steerable interpretations for better model understanding and decision support.

Keywords

Cite

@article{arxiv.2509.23159,
  title  = {ProtoTS: Learning Hierarchical Prototypes for Explainable Time Series Forecasting},
  author = {Ziheng Peng and Shijie Ren and Xinyue Gu and Linxiao Yang and Xiting Wang and Liang Sun},
  journal= {arXiv preprint arXiv:2509.23159},
  year   = {2026}
}

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ICLR 2026 Poster

R2 v1 2026-07-01T06:00:27.980Z