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Hybrid evolutionary-gradient training improves long-term time series forecasting
Lihong Zhao1,2, Zhihui Chen2, Naiqi Wu1
1Department of Engineering Science, Macau University of Science and Technology, Macao, 999078, China.
Scientific Reports
|March 29, 2026
Summary
Evolutionary-Guided Module Fusion with Gradient Refinement (EGMF-GR) enhances long-term time series forecasting by combining global exploration and local refinement. This method improves accuracy and stability, even with distribution shifts and noisy data.
Area of Science:
- Artificial Intelligence
- Machine Learning
- Time Series Analysis
Background:
- Long-term time series forecasting faces challenges like nonstationarity, noisy gradients, and distribution shifts.
- Existing methods often struggle with robust learning under these conditions, leading to delayed adaptation and reduced accuracy.
Purpose of the Study:
- To introduce an architecture-agnostic training framework, Evolutionary-Guided Module Fusion with Gradient Refinement (EGMF-GR).
- To enhance the robustness and stability of long-term time series forecasting models.
Main Methods:
- EGMF-GR integrates population-based global exploration with gradient-based local refinement.
- It monitors module alignment and discrepancies between individuals, using hybrid thresholds for module state fusion.
- Fusion occurs at the module state level, merging parameters and synchronizing buffers to ensure stability.
Main Results:
- EGMF-GR demonstrated improved forecasting accuracy across eight public benchmarks.
- The framework significantly enhanced training stability, particularly under challenging conditions.
- Optimization stability was improved by reducing state inconsistency after module merging.
Conclusions:
- EGMF-GR offers a novel approach to improving long-term time series forecasting.
- The framework effectively addresses nonstationarity and distribution shifts without requiring new forecasting architectures.
- EGMF-GR provides a stable and accurate training strategy within a controlled optimization budget.
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