Key research themes
1. How can hybrid machine learning and modified Kalman filter methods improve the accuracy and robustness of time series forecasting?
This research theme investigates the integration of classical state-space and linear filtering methods with machine learning approaches, such as support vector regression (SVR) and nonlinear autoregressive (NAR) neural networks, to build hybrid models for enhanced time series prediction. The aim is to address the challenges posed by convergence problems in Kalman filters with high error variance and to exploit nonlinear correction capabilities of machine learning. Such hybridizations seek to substantially reduce forecasting errors in practical applications like agriculture and tourism, where data may be scarce and subject to trend changes.
2. What role do neural network architectures and time-lag selection heuristics play in optimizing time series prediction performance?
This theme explores the adaptation and optimization of neural network models, including feed-forward and recurrent architectures, for time series forecasting. Central to this line of investigation is the choice of appropriate sample rates, input window sizes (time lag), and embedding dimensions, which critically impact prediction accuracy. The research evaluates methods to determine these parameters theoretically, including the application of dynamical systems theory and heuristic algorithms, with attention to both linear and nonlinear time series data. This includes studies applying neural networks to diverse domains ranging from meteorological data to agricultural yields.
3. How does the combination and integration of multiple forecasting models using Bayesian and ensemble approaches enhance time series prediction accuracy?
This research domain focuses on the use of model combination techniques, including Bayesian model averaging and ensemble learning, to aggregate multiple local or component predictors into a global forecasting system. These approaches assign probabilistic weights to each model based on their predictive performance, which can adapt over time, leading to improved robustness and accuracy, particularly in complex or regime-switching time series data. Methodological contributions include deriving recursive Bayesian updates for model weights and demonstrating empirical superiority over single-model predictors in diverse real-world applications.