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cs.LG2025
A general physics-constrained method for the modelling of equation's closure terms with sparse data
Tian Chen, Shengping Liu, Li Liu +1
Accurate modeling of closure terms is a critical challenge in engineering and scientific research, particularly when data is sparse (scarse or incomplete), making widely applicable…
cs.LG2024
Numerical Approximation Capacity of Neural Networks with Bounded Parameters: Do Limits Exist, and How Can They Be Measured?
Li Liu, Tengchao Yu, Heng Yong
The Universal Approximation Theorem posits that neural networks can theoretically possess unlimited approximation capacity with a suitable activation function and a freely chosen o…