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Theoretical Limits of Language Model Alignment $f$-Divergence Regularized RLHF: Two Tales of Sampling and Unified Analyses A Unified Measure-Theoretic View of Diffusion, Score-Based, and Flow Matching Generative Models When Can Voting Help, Hurt, or Change Course? 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Moments of Subsets of General Equiangular Tight Frames
Marina Haikin, Ram Zamir · 2021-07-02 · via cs.IT updates on arXiv.org

This note outlines the steps for proving that the moments of a randomly-selected subset of a general ETF (complex, with aspect ratio $0<γ<1$) converge to the corresponding MANOVA moments. We bring here an extension for the proof of the 'Kesten-Mckay' moments (real ETF, $γ=1/2$) \cite{magsino2020kesten}. In particular, we establish a recursive computation of the $r$th moment, for $r = 1,2,\ldots$, and verify, using a symbolic program, that the recursion output coincides with the MANOVA moments.

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