Archives AI News

Walsh-Hadamard Neural Operators for Solving PDEs with Discontinuous Coefficients

arXiv:2511.07347v1 Announce Type: cross Abstract: Neural operators have emerged as powerful tools for learning solution operators of partial differential equations (PDEs). However, standard spectral methods based on Fourier transforms struggle with problems involving discontinuous coefficients due to the Gibbs phenomenon…

Prompting Neural-Guided Equation Discovery Based on Residuals

arXiv:2511.05586v1 Announce Type: new Abstract: Neural-guided equation discovery systems use a data set as prompt and predict an equation that describes the data set without extensive search. However, if the equation does not meet the user’s expectations, there are few…

Adaptive Group Robust Ensemble Knowledge Distillation

arXiv:2411.14984v2 Announce Type: replace Abstract: Neural networks can learn spurious correlations in the data, often leading to performance degradation for underrepresented subgroups. Studies have demonstrated that the disparity is amplified when knowledge is distilled from a complex teacher model to…

An upper bound of the silhouette validation metric for clustering

arXiv:2509.08625v2 Announce Type: replace Abstract: The silhouette coefficient quantifies, for each observation, the balance between within-cluster cohesion and between-cluster separation, taking values in [-1, 1]. The average silhouette width (ASW) is a widely used internal measure of clustering quality, with…