“How large is a large language model? Think about it this way. In the center of San Francisco there’s a hill called Twin Peaks from which you can view nearly the entire city. Picture all of it—every block and intersection, every neighborhood and park, as far as you can see—covered in sheets of paper.”

“The paper proves that any ancient, asymptotically cylindrical flow is non-collapsed, convex, rotationally symmetric, and belongs to one of three canonical families: ancient ovals, the bowl soliton, or the flying wing translating solitons.”

“NIRNL achieves state-of-the-art performance, exhibiting remarkable robustness, especially under high noise rates.”

“PanCAN learns multi-order neighborhood relationships at each scale by combining random walks with an attention mechanism.”

“The paper demonstrates that the topology of a submanifold can be recovered with high confidence by sampling a sufficiently large number of random points.”

“Our framework offers an effective and theoretically grounded solution for social bot detection, significantly enhancing cybersecurity measures in social networks.”

“The paper introduces Omega, a linear-time graph drawing algorithm that integrates a fast resistance distance embedding with random node-pair sampling for Stochastic Gradient Descent (SGD).”

“The system reaches consensus almost surely under the condition that the evolving graph is connected infinitely often.”

“The article uses Deep Learning to accelerate Multi-Start Large Neighborhood Search for real-time freight bundling.”

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“The application is LLM-based and designed for neighborhood information retrieval and personalized cognitive map recommendations.”

“Understanding the building blocks and design choices of graph neural networks.”