Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Good sparse approximations are essential for practical inference in Gaussian Processes as the computational cost of exact methods is prohibitive for large datasets. The Fully Independent Training Conditional (FITC) and the Variational Free Energy (VFE) approximations are two recent popular methods. Despite superficial similarities, these approximations have surprisingly different theoretical properties and behave differently in practice.  thoroughly investigate the two methods for regression both analytically and through illustrative examples, and draw conclusions to guide practical application.
['Matthias Bauer', 'Mark van der Wilk', 'Carl Edward Rasmussen']
I am writing a research paper on a idea Understanding Probabilistic Sparse Gaussian Process Approximations
[{"from": "human", "value": "I am writing a research paper on a idea Understanding Probabilistic Sparse Gaussian Process Approximations"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Good sparse approximations are essential for practical inference in Gaussian Processes as the computational cost of exact methods is prohibitive for large datasets. The Fully Independent Training Conditional (FITC) and the Variational Free Energy (VFE) approximations are two recent popular methods. Despite superficial similarities, these approximations have surprisingly different theoretical properties and behave differently in practice.  thoroughly investigate the two methods for regression both analytically and through illustrative examples, and draw conclusions to guide practical application."}]