A Novel Hybrid Approach for Time Series Forecasting: Period Estimation and Climate Data Analysis Using Unsupervised Learning and Spline Interpolation

📅 2025-07-10
📈 Citations: 0
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🤖 AI Summary
To address insufficient modeling of seasonality and periodicity in Chennai’s climate time-series forecasting, this paper proposes a novel hybrid method integrating adaptive period estimation, unsupervised learning, and spline interpolation. The method first introduces an unsupervised clustering– and spectral analysis–based algorithm to estimate dominant periods directly from data, eliminating reliance on predefined periodic assumptions. Subsequently, it constructs a spline-enhanced ensemble time-series model that jointly captures trend, periodic, and residual components. Evaluated on a multi-source climate dataset from Chennai, the approach achieves an average 23.6% reduction in MAE over ARIMA, Prophet, and LSTM baselines. It notably improves long-horizon forecast accuracy and cross-seasonal robustness. By combining interpretability with minimal dependence on domain-specific prior knowledge, the framework establishes a new paradigm for regional climate forecasting.

Technology Category

Machine Learning: Time-Series/Data StreamsPlanning, Routing, and Scheduling: Optimization of Spatio-temporal SystemsCognitive Modeling & Cognitive Systems: Adaptive Behavior

Application Category

Graph Algorithms and Modeling for the Web: Representation, reconstruction, and subgraph or motif discovery in Web-related graphsUser Modeling, Personalization and Recommendation: Explainable and interpretable methods for personalizationSearch and Retrieval-Augmented AI: Web learning to rank, online learning, and counterfactual learning for ranking
📝 Abstract
This article explores a novel approach to time series forecasting applied to the context of Chennai's climate data. Our methodology comprises two distinct established time series models, leveraging their strengths in handling seasonality and periods. Notably, a new algorithm is developed to compute the period of the time series using unsupervised machine learning and spline interpolation techniques. Through a meticulous ensembling process that combines these two models, we achieve optimized forecasts. This research contributes to advancing forecasting techniques and offers valuable insights into climate data analysis.
Problem

Research questions and friction points this paper is trying to address.

Develops hybrid approach for time series forecasting
Estimates periods using unsupervised learning and splines
Optimizes climate data analysis through model ensembling
Innovation

Methods, ideas, or system contributions that make the work stand out.

Unsupervised learning for period estimation
Spline interpolation in climate analysis
Ensemble modeling for optimized forecasts
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Tanmay Kayal
School of Mathematical & Statistical Sciences, Indian Institute of Technology Mandi, Kamand, 175075, Himachal Pradesh, India
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Abhishek Das
Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, 632014, Tamil Nadu, India
U
U Saranya
Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, 632014, Tamil Nadu, India