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Lorentzian Logic: Visualizing High-Fidelity Graph Hierarchies in Hyperbolic Space

19 Feb 2026

Discover how Differentiable Structural Information (DSI) and the Lorentz model identify optimal cluster structures without predefined group numbers (K).

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Decoding Data: The Technical Secrets of LSEnet Algorithms and Benchmarks

19 Feb 2026

Dive into the technical implementation of LSEnet, including its Breadth-First Search (BFS) decoding algorithm and its performance against elite baselines

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Curved Space Geometry: Embedding Trees and Finding Midpoints in Hyperbolic Models

19 Feb 2026

Discover how trees can be embedded into hyperbolic space with arbitrarily low distortion and explore the mathematical foundations of Frechet

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Graph Information Theory: The Mathematical Proofs Behind LSEnet and DSI

19 Feb 2026

Explore the rigorous validation of equivalence, additivity, and graph clustering bounds that power LSEnet and self-organizing networks.

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Automatic Data Grouping: LSEnet and the Future of Self-Organizing Networks

18 Feb 2026

By minimizing structural entropy in hyperbolic space, this model uncovers natural data groups automatically for more accurate network analysis.

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Better Results in Curved Space: Tuning Tree Height and Embedding Power

18 Feb 2026

Learn about the superior expressiveness of hyperbolic embeddings for link prediction compared to traditional Euclidean models.

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Automatic Data Sorting: How LSEnet Wins Without Guessing Numbers

18 Feb 2026

See how it uses curved space and structural entropy to find natural data groups automatically—no cluster numbers required.

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Self-Organizing Networks: Training Hyperbolic Partitioning Trees with LSEnet

18 Feb 2026

Learn how the Hyperbolic Partitioning Tree combines structural entropy and curved space to automate graph clustering

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Flexible Hierarchy Learning: Managing Unknown Node Counts in Curved Space

18 Feb 2026

Discover how using redundant nodes and hyperbolic gyro-midpoints preserves structural entropy while uncovering a graph's natural self-organization.