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most citedSparks of Artificial General Intelligence: Early experiments with GPT-4

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math.PR2015

Sampling from a log-concave distribution with Projected Langevin Monte Carlo

Sébastien Bubeck, Ronen Eldan, Joseph Lehec

We extend the Langevin Monte Carlo (LMC) algorithm to compactly supported measures via a projection step, akin to projected Stochastic Gradient Descent (SGD). We show that (project…