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Exploding variance of means of exponentials: least-squares to the rescue

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Hacker News | Sep 25, 2026 | matt_d

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The KL divergence corresponds to \(f(t) = t \log t \, – t + 1\) and \(f^\ast(u) = e^u \, – 1\). Top: using linear features, bottom: using quadratic features. From left to right: softmax regression, spectral estimation for KL divergence, spectral estimation for Pearson divergence.

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