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Least Squares

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New Method Cuts Variance in Log-Sum-Exp Estimation for Machine Learning

A technical post outlines a statistical challenge in machine learning: estimating log-sum-exp functions, which are widely used for normalizing probabilistic models and in reinforcement learning, becomes highly unreliable when the underlying potential function takes large values, causing estimation variance to grow exponentially. The author proposes using least-squares techniques to address this exploding variance problem, offering a way to stabilize these estimates even as the scale of the values involved increases.