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Paper · arXiv

Hopformer: Homogeneity-Pursuit Transformer for Time Series Forecasting

Forecasting multiple time-series with high-dimensional covariates presents a core challenge: unifying common temporal patterns while retaining meaningful series-specific information. We introduce Hopformer (Homogeneity-Pursuit Transformer), a two-stage framework that addresses this challenge. In the first stage, we perform a Sparsity Pattern Aggregation (SPA) scheme extracting a common low-variance trend that incorporates the covariates. This acts as a homogenization layer. In the second stage, a LoRA-fine-tuned Transformer models the remaining complex dependencies in the residual. Our method is theoretically grounded. We prove that SPA achieves a near-optimal bias-variance trade-off via ...

AuthorsWan Zhang, Qinjie Lin, Chan Lee et al.
Primary categorystat.ML
Published24 July 2026
Last updated at source13 October 2026
stat.MLcs.LG
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