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On the complex Banach conjecture

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abstract

The complex conjecture of Stefan Banach states that if V is a Banach space over the complex numbers where for some n, 1<n<dim(V), all of its n-dimensional subspaces are isometric, then V is a Hilbert space. Mikhail Gromov proved it for n even in 1967. Here, we prove it for n congruent to 1 mod 4.

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Navigating Nuance: In Quest for Political Truth

cs.CL · 2025-01-01 · reject · novelty 4.0

A custom Chain-of-Thought prompt for Llama-3 reaches macro-F1 0.7061 on the MBIB political bias task, close to the 0.7110 of fine-tuned ConvBERT, but the prompt was tuned on test data.

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  • Navigating Nuance: In Quest for Political Truth cs.CL · 2025-01-01 · reject · none · ref 7 · internal anchor

    A custom Chain-of-Thought prompt for Llama-3 reaches macro-F1 0.7061 on the MBIB political bias task, close to the 0.7110 of fine-tuned ConvBERT, but the prompt was tuned on test data.