HPMixer: Hierarchical Patching for Multivariate Time Series Forecasting

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Hauptverfasser: Choi, Jung Min, Yalavarthi, Vijaya Krishna, Schmidt-Thieme, Lars
Format: Preprint
Veröffentlicht: 2026
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author Choi, Jung Min
Yalavarthi, Vijaya Krishna
Schmidt-Thieme, Lars
author_facet Choi, Jung Min
Yalavarthi, Vijaya Krishna
Schmidt-Thieme, Lars
contents In long-term multivariate time series forecasting, effectively capturing both periodic patterns and residual dynamics is essential. To address this within standard deep learning benchmark settings, we propose the Hierarchical Patching Mixer (HPMixer), which models periodicity and residuals in a decoupled yet complementary manner. The periodic component utilizes a learnable cycle module [7] enhanced with a nonlinear channel-wise MLP for greater expressiveness. The residual component is processed through a Learnable Stationary Wavelet Transform (LSWT) to extract stable, shift-invariant frequency-domain representations. Subsequently, a channel-mixing encoder models explicit inter-channel dependencies, while a two-level non-overlapping hierarchical patching mechanism captures coarse- and fine-scale residual variations. By integrating decoupled periodicity modeling with structured, multi-scale residual learning, HPMixer provides an effective framework. Extensive experiments on standard multivariate benchmarks demonstrate that HPMixer achieves competitive or state-of-the-art performance compared to recent baselines.
format Preprint
id arxiv_https___arxiv_org_abs_2602_16468
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle HPMixer: Hierarchical Patching for Multivariate Time Series Forecasting
Choi, Jung Min
Yalavarthi, Vijaya Krishna
Schmidt-Thieme, Lars
Machine Learning
In long-term multivariate time series forecasting, effectively capturing both periodic patterns and residual dynamics is essential. To address this within standard deep learning benchmark settings, we propose the Hierarchical Patching Mixer (HPMixer), which models periodicity and residuals in a decoupled yet complementary manner. The periodic component utilizes a learnable cycle module [7] enhanced with a nonlinear channel-wise MLP for greater expressiveness. The residual component is processed through a Learnable Stationary Wavelet Transform (LSWT) to extract stable, shift-invariant frequency-domain representations. Subsequently, a channel-mixing encoder models explicit inter-channel dependencies, while a two-level non-overlapping hierarchical patching mechanism captures coarse- and fine-scale residual variations. By integrating decoupled periodicity modeling with structured, multi-scale residual learning, HPMixer provides an effective framework. Extensive experiments on standard multivariate benchmarks demonstrate that HPMixer achieves competitive or state-of-the-art performance compared to recent baselines.
title HPMixer: Hierarchical Patching for Multivariate Time Series Forecasting
topic Machine Learning
url https://arxiv.org/abs/2602.16468