4 papers
Sticky Kakeya sets and the sticky Kakeya conjecture
Hong Wang, Joshua Zahl
A Kakeya set is a compact subset of that contains a unit line segment pointing in every direction. The Kakeya conjecture asserts that such sets must have Hausdorff a…
Quantifying the Optimization and Generalization Advantages of Graph Neural Networks Over Multilayer Perceptrons
Wei Huang, Yuan Cao, Haonan Wang +2
Graph neural networks (GNNs) have demonstrated remarkable capabilities in learning from graph-structured data, often outperforming traditional Multilayer Perceptrons (MLPs) in nume…
Complementary Frequency-Varying Awareness Network for Open-Set Fine-Grained Image Recognition
Qiulei Dong, Jiayin Sun, Mengyu Gao
Open-set image recognition is a challenging topic in computer vision. Most of the existing works in literature focus on learning more discriminative features from the input images,…
Furstenberg sets estimate in the plane
Kevin Ren, Hong Wang
We fully resolve the Furstenberg set conjecture in , that a -Furstenberg set has Hausdorff dimension . As a result, we obt…