Amplifier: Bringing Attention to Neglected Low-Energy Components in Time Series Forecasting
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Abstract (arXiv)
We propose an energy amplification technique to address the issue that existing models easily overlook low-energy components in time series forecasting. This technique comprises an energy amplification block and an energy restoration block. The energy amplification block enhances the energy of low-energy components to improve the model's learning efficiency for these components, while the energy restoration block returns the energy to its original level. Moreover, considering that the energy-amplified data typically displays two distinct energy peaks in the frequency spectrum, we integrate the energy amplification technique with a seasonal-trend forecaster to model the temporal relationships of these two peaks independently, serving as the backbone for our proposed model, Amplifier. Additionally, we propose a semi-channel interaction temporal relationship enhancement block for Amplifier, which enhances the model's ability to capture temporal relationships from the perspective of the commonality and specificity of each channel in the data. Extensive experiments on eight time series forecasting benchmarks consistently demonstrate our model's superiority in both effectiveness and efficiency compared to state-of-the-art methods.
Key facts. Cited by 23 papers in the map (data through 7 Oct 2026). Builds on 14 of its 24 references that are in the map. First posted on arXiv 28 Jan 2025.
Builds on
14 of 24 references.
References · 14
- 2014Adam: A Method for Stochastic Optimizationcited by 36,960
- 2020Informer: Beyond Efficient Transformer for Long Sequence Time-Series Forecastingcited by 2,141
- 2021Autoformer: Decomposition Transformers with Auto-Correlation for Long-Term Series Forecastingcited by 1,654
- 2022FEDformer: Frequency Enhanced Decomposed Transformer for Long-term Series Forecastingcited by 1,200
- 2017Spatio-Temporal Graph Convolutional Networks: A Deep Learning Framework for Traffic Forecastingcited by 1,125
- 2017DeepAR: Probabilistic Forecasting with Autoregressive Recurrent Networkscited by 1,004
- 2017Modeling Long- and Short-Term Temporal Patterns with Deep Neural Networkscited by 869
- 2020Time Series Forecasting With Deep Learning: A Surveycited by 457
- 2021SCINet: Time Series Modeling and Forecasting with Sample Convolution and Interactioncited by 335
- 2023Long-term Forecasting with TiDE: Time-series Dense Encodercited by 327
- 2019Think Globally, Act Locally: A Deep Neural Network Approach to High-Dimensional Time Series Forecastingcited by 161
- 2023FourierGNN: Rethinking Multivariate Time Series Forecasting from a Pure Graph Perspectivecited by 126
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Citing papers per year: 2025: 5; 2026: 18.
23 papers.
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- 2025DBLoss: Decomposition-based Loss Function for Time Series Forecastingcited by 44
- 2025Enhancing Time Series Forecasting through Selective Representation Spaces: A Patch Perspectivecited by 34
- 2026GCGNet: Graph-Consistent Generative Network for Time Series Forecasting with Exogenous Variablescited by 11
- 2025SEMPO: Lightweight Foundation Models for Time Series Forecastingcited by 6
- 2025Multi-Order Wavelet Derivative Transform for Deep Time Series Forecastingcited by 4
- 2026PHAT: Modeling Period Heterogeneity for Multivariate Time Series Forecastingcited by 2
- 2026TEFL: Prediction-Residual-Guided Rolling Forecasting for Multi-Horizon Time Seriescited by 2
- 2026SEER: Transformer-based Robust Time Series Forecasting via Automated Patch Enhancement and Replacementcited by 1
- 2026BrainCast: A Spatio-Temporal Forecasting Model for Whole-Brain fMRI Time Series Predictioncited by 1
- 2026PAMNet: Cycle-aware Phase-Amplitude Modulation Network for Multivariate Time Series Forecastingcited by 1
- 2026Olivia: Harmonizing Time Series Foundation Models with Power Spectral Densitycited by 1
- 2026One Step Closer to Ground Truth: A Multi-Scale Residual-Aware Representation Learning Pipeline for Predicting Time Series Datacited by 1
11 more
- 2025PRISM: Lightweight Multivariate Time-Series Classification through Symmetric Multi-Resolution Convolutional Layerscited by 0
- 2026ACFormer: Mitigating Non-linearity with Auto Convolutional Encoder for Time Series Forecastingcited by 0
- 2026MLOW: Interpretable Low-Rank Frequency Magnitude Decomposition of Multiple Effects for Time Series Forecastingcited by 0
- 2026PAMod: Modeling Cyclical Shifts via Phase-Amplitude Modulation for Non-stationary Time Series Forecastingcited by 0
- 2026LeapTS: Rethinking Time Series Forecasting as Adaptive Multi-Horizon Schedulingcited by 0
- 2026SSDA: Bridging Spectral and Structural Gaps via Dual Adaptation for Vision-Based Time Series Forecastingcited by 0
- 2026Adaptive Oscillatory-State Alignment for Time Series Forecastingcited by 0
- 2026HypLTSF: A Hyperbolic Geometric View of Multi-Scale Hierarchies for Long-Term Time Series Forecastingcited by 0
- 2026WorldTS: World Modeling for Multimodal Covariate-aware Time Series Forecastingcited by 0
- 2026XMatch: Enhancing Covariate-Aware Time Series Forecasting through Tree-Structured Exogenous Matchingcited by 0
- 2026GNA: Granular Neighbor Assembly for Retrieval-Augmented Multivariate Time-Series Forecastingcited by 0
- 2026GNA: Granular Neighbor Assembly for Retrieval-Augmented Multivariate Time-Series Forecasting28 Sep 2026
- 2026XMatch: Enhancing Covariate-Aware Time Series Forecasting through Tree-Structured Exogenous Matching28 Sep 2026
- 2026WorldTS: World Modeling for Multimodal Covariate-aware Time Series Forecasting25 Sep 2026
- 2026HypLTSF: A Hyperbolic Geometric View of Multi-Scale Hierarchies for Long-Term Time Series Forecasting8 Sep 2026
- 2026One Step Closer to Ground Truth: A Multi-Scale Residual-Aware Representation Learning Pipeline for Predicting Time Series Data9 Jun 2026
- 2026Adaptive Oscillatory-State Alignment for Time Series Forecasting4 Jun 2026
- 2026Olivia: Harmonizing Time Series Foundation Models with Power Spectral Density17 May 2026
- 2026LeapTS: Rethinking Time Series Forecasting as Adaptive Multi-Horizon Scheduling11 May 2026
- 2026SSDA: Bridging Spectral and Structural Gaps via Dual Adaptation for Vision-Based Time Series Forecasting10 May 2026
- 2026PAMNet: Cycle-aware Phase-Amplitude Modulation Network for Multivariate Time Series Forecasting1 May 2026
- 2026PAMod: Modeling Cyclical Shifts via Phase-Amplitude Modulation for Non-stationary Time Series Forecasting1 May 2026
- 2026MLOW: Interpretable Low-Rank Frequency Magnitude Decomposition of Multiple Effects for Time Series Forecasting19 Mar 2026
11 more
- 2026BrainCast: A Spatio-Temporal Forecasting Model for Whole-Brain fMRI Time Series Prediction9 Mar 2026
- 2026GCGNet: Graph-Consistent Generative Network for Time Series Forecasting with Exogenous Variables9 Mar 2026
- 2026TEFL: Prediction-Residual-Guided Rolling Forecasting for Multi-Horizon Time Series26 Feb 2026
- 2026PHAT: Modeling Period Heterogeneity for Multivariate Time Series Forecasting31 Jan 2026
- 2026SEER: Transformer-based Robust Time Series Forecasting via Automated Patch Enhancement and Replacement31 Jan 2026
- 2026ACFormer: Mitigating Non-linearity with Auto Convolutional Encoder for Time Series Forecasting28 Jan 2026
- 2025DBLoss: Decomposition-based Loss Function for Time Series Forecasting27 Oct 2025
- 2025SEMPO: Lightweight Foundation Models for Time Series Forecasting22 Oct 2025
- 2025Enhancing Time Series Forecasting through Selective Representation Spaces: A Patch Perspective16 Oct 2025
- 2025PRISM: Lightweight Multivariate Time-Series Classification through Symmetric Multi-Resolution Convolutional Layers6 Aug 2025
- 2025Multi-Order Wavelet Derivative Transform for Deep Time Series Forecasting17 May 2025
- 2025DBLoss: Decomposition-based Loss Function for Time Series Forecastingcited by 44
- 2025Enhancing Time Series Forecasting through Selective Representation Spaces: A Patch Perspectivecited by 34
- 2026GCGNet: Graph-Consistent Generative Network for Time Series Forecasting with Exogenous Variablescited by 11
- 2025SEMPO: Lightweight Foundation Models for Time Series Forecastingcited by 6
- 2025Multi-Order Wavelet Derivative Transform for Deep Time Series Forecastingcited by 4
- 2026PHAT: Modeling Period Heterogeneity for Multivariate Time Series Forecastingcited by 2
- 2026TEFL: Prediction-Residual-Guided Rolling Forecasting for Multi-Horizon Time Seriescited by 2
- 2026BrainCast: A Spatio-Temporal Forecasting Model for Whole-Brain fMRI Time Series Predictioncited by 1
- 2026PAMNet: Cycle-aware Phase-Amplitude Modulation Network for Multivariate Time Series Forecastingcited by 1
- 2026Olivia: Harmonizing Time Series Foundation Models with Power Spectral Densitycited by 1
- 2026One Step Closer to Ground Truth: A Multi-Scale Residual-Aware Representation Learning Pipeline for Predicting Time Series Datacited by 1
- 2025PRISM: Lightweight Multivariate Time-Series Classification through Symmetric Multi-Resolution Convolutional Layerscited by 0
12 most cited of 21 All 21 (JSON)
- 2026GNA: Granular Neighbor Assembly for Retrieval-Augmented Multivariate Time-Series Forecasting28 Sep 2026
- 2026XMatch: Enhancing Covariate-Aware Time Series Forecasting through Tree-Structured Exogenous Matching28 Sep 2026
- 2026HypLTSF: A Hyperbolic Geometric View of Multi-Scale Hierarchies for Long-Term Time Series Forecasting8 Sep 2026
- 2026One Step Closer to Ground Truth: A Multi-Scale Residual-Aware Representation Learning Pipeline for Predicting Time Series Data9 Jun 2026
- 2026Adaptive Oscillatory-State Alignment for Time Series Forecasting4 Jun 2026
- 2026Olivia: Harmonizing Time Series Foundation Models with Power Spectral Density17 May 2026
- 2026LeapTS: Rethinking Time Series Forecasting as Adaptive Multi-Horizon Scheduling11 May 2026
- 2026SSDA: Bridging Spectral and Structural Gaps via Dual Adaptation for Vision-Based Time Series Forecasting10 May 2026
- 2026PAMNet: Cycle-aware Phase-Amplitude Modulation Network for Multivariate Time Series Forecasting1 May 2026
- 2026PAMod: Modeling Cyclical Shifts via Phase-Amplitude Modulation for Non-stationary Time Series Forecasting1 May 2026
- 2026MLOW: Interpretable Low-Rank Frequency Magnitude Decomposition of Multiple Effects for Time Series Forecasting19 Mar 2026
- 2026BrainCast: A Spatio-Temporal Forecasting Model for Whole-Brain fMRI Time Series Prediction9 Mar 2026
12 newest of 21 All 21 (JSON)