Abstract: Social recommendation provides an auxiliary social network structure to enhance recommendation performances. By formulating user-user social network and user-item interaction graph, modern ...
Abstract: Hyperbolic graph convolutional networks (GCNs) demonstrate powerful representation ability to model graphs with hierarchical structure. Existing hyperbolic GCNs resort to tangent spaces to ...
Graph Convolutional Neural Networks (GCNs) embed graph data into either Euclidean or non-Euclidean spaces. For power-law distributed graphs, Euclidean embeddings distort input features because they ...
Abstract. If X is a geodesic metric space and 𝑥₁, 𝑥₂, 𝑥₃ ∈ 𝑋, a geodesic triangle 𝑇 = {𝑥₁, 𝑥₂, 𝑥₃} is the union of the three geodesics [𝑥₁𝑥₂], [𝑥₂𝑥₃] and [𝑥₃𝑥₁] in 𝑋. The space 𝑋 is ...
Unlock the full InfoQ experience by logging in! Stay updated with your favorite authors and topics, engage with content, and download exclusive resources. Ramya Krishnamoorthy shares a detailed case ...
Abstract We prove that λ𝑔 ↦ 𝑒⁻𝑡|𝑔|𝑟 λ𝑔 defines a multiplier on the von Neuman algebra of hyperbolic groups with a complete bound ≃ 𝑟, for any 0 < 𝑡 < ∞, 1 < 𝑟 < ∞. In the proof we observe ...
Hyperbolic metamaterials (HMMs), which have an extremely high anisotropy with a hyperbolic dispersion relation, are rising as an innovative method of manipulating light. HMMs have received tremendous ...
Sokoban a', since to that obtained a completely different gaming experience by the spherical stage 'hyperbolic number' appeared, I tried actually playing. The top page of hyperbolic geometry looks ...
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