Spectral braids turn eigenvalue crossings into features for directed networks
Burau features from tracked complex eigenvalues reach 97.1% accuracy on four synthetic classes, versus 44.5% without eigenvalue tracking.
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Stories tagged #topology
Constructive Bounds for the Topological Expressivity of Neural Networks
A paper proves ReLU architectures can realize prescribed Betti numbers, with tighter bounds for products of spheres.
Certifying Hidden Paths: Scalable Topology Assurance for QKD Networks
A zero-knowledge scheme lets QKD providers certify policy-compliant routes without revealing network topology.
SILSA: Sliding-Window Slice Latents for Topology-Preserving High-Resolution 3D Generation
SILSA generates high-resolution 3D shapes from sliding-window slice latents, using far fewer tokens and improving topology.
SILSA: Sliding-Window Slice Latents for Topology-Preserving High-Resolution 3D Generation
SILSA generates high-resolution 3D shapes from compact slice latents while preserving topology and cutting token cost.
PRISM trains multi-agent topology generators with privileged sibling graphs
The paper says PRISM beat every topology-design baseline across six benchmarks, and code is released.
MindTopo: Can Foundation Models Reason in Topological Space?
MindTopo benchmark with 11,030 topological tasks shows 14 multimodal LLMs reason better than they plan and remain far below human performance.