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The source code for the paper L. Lu, P. Jin, G. Pang, Z. Zhang, & G. E. Karniadakis. Learning nonlinear operators via DeepONet based on the universal approximation theorem of operators. Nature Machine ...

Large language models face a fundamental computational limit that causes undetected errors in complex tasks. Hybrid AI ...

Topics theorem, combinatorics, integers, advanced, set, integer, permutations, combinatorial, coefficients, advanced combinatorics, formal series, stirling numbers, combinatorial analysis, sur les, ...

Discovering Geometry, An Investigative Approach by Michael Serra Includes index Geometric art -- Introducing geometry -- Reasoning in geometry -- Using tools of geometry -- Discovering and proving ...

Imagine giving your home to your next-door neighbour for free, then paying them to park your car on the drive? It sounds like a Monty Python sketch, but thanks to PM Keir Starmer's woke-obsessed ...

研究团队提出了一种无训练、即插即用的解码策略——Confident Decoding（置信解码）。 传统认知默认：随着网络深度单调递增，思考结果也会变得更准确。 各类开源自回归大语言模型（LLM）的生成，也总是从最后一层输出。 然而，来自Qwen团队、清华大学、南洋 ...