PAMNet: Cycle-aware Phase-Amplitude Modulation Network for Multivariate Time Series Forecasting

Fuente: arXiv
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Auteurs principaux: Zhou, Yingbo, Ye, Yutong, Ling, Zhiwei, Li, Shuhao, Qian, Rui, Xiong, Jian, Sun, Li, Dou, Dejing
Format: Preprint
Publié: 2026
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author Zhou, Yingbo
Ye, Yutong
Ling, Zhiwei
Li, Shuhao
Qian, Rui
Xiong, Jian
Sun, Li
Dou, Dejing
author_facet Zhou, Yingbo
Ye, Yutong
Ling, Zhiwei
Li, Shuhao
Qian, Rui
Xiong, Jian
Sun, Li
Dou, Dejing
contents Reliable periodic patterns serve as a fundamental basis for accurate multivariate time series forecasting. However, existing methods either implicitly extract periodicity through complex model architectures (e.g., Transformers) with high computational overhead or overlook the intrinsic phase-amplitude coupling when modeling periodic components explicitly. To address these issues, we propose a novel Cycle-aware Phase-Amplitude Modulation Network (PAMNet) that explicitly decomposes periodic patterns into complementary phase and amplitude components. The core innovation lies in its dual-branch modulator, featuring dedicated learnable embeddings for phase positioning and amplitude modulation. The phase branch employs cyclical embeddings to capture phase-dependent mean shifts, while the amplitude branch models intensity variations to adapt to changes in variance. A lightweight modulator with element-wise fusion efficiently combines these components, enabling explicit modeling of their interactions without complex attention mechanisms. Extensive experiments on twelve real-world datasets demonstrate that our method achieves state-of-the-art performance through its novel phase-amplitude decoupling mechanism, offering a new perspective for cyclical modeling in time series forecasting.
format Preprint
id arxiv_https___arxiv_org_abs_2605_02938
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle PAMNet: Cycle-aware Phase-Amplitude Modulation Network for Multivariate Time Series Forecasting
Zhou, Yingbo
Ye, Yutong
Ling, Zhiwei
Li, Shuhao
Qian, Rui
Xiong, Jian
Sun, Li
Dou, Dejing
Machine Learning
Artificial Intelligence
Reliable periodic patterns serve as a fundamental basis for accurate multivariate time series forecasting. However, existing methods either implicitly extract periodicity through complex model architectures (e.g., Transformers) with high computational overhead or overlook the intrinsic phase-amplitude coupling when modeling periodic components explicitly. To address these issues, we propose a novel Cycle-aware Phase-Amplitude Modulation Network (PAMNet) that explicitly decomposes periodic patterns into complementary phase and amplitude components. The core innovation lies in its dual-branch modulator, featuring dedicated learnable embeddings for phase positioning and amplitude modulation. The phase branch employs cyclical embeddings to capture phase-dependent mean shifts, while the amplitude branch models intensity variations to adapt to changes in variance. A lightweight modulator with element-wise fusion efficiently combines these components, enabling explicit modeling of their interactions without complex attention mechanisms. Extensive experiments on twelve real-world datasets demonstrate that our method achieves state-of-the-art performance through its novel phase-amplitude decoupling mechanism, offering a new perspective for cyclical modeling in time series forecasting.
title PAMNet: Cycle-aware Phase-Amplitude Modulation Network for Multivariate Time Series Forecasting
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2605.02938