https://dudusoar.github.io/tags/almost-sure-convergence/Recent content in Almost Sure Convergence on Yuchen DuHugo -- 0.164.0en-usFri, 17 Jul 2026 00:00:00 +0000https://dudusoar.github.io/posts/stochastic-approximation/15-dvoretzky-convergence-theorem/Fri, 17 Jul 2026 00:00:00 +0000https://dudusoar.github.io/posts/stochastic-approximation/15-dvoretzky-convergence-theorem/Dvoretzky generalizes the stochastic-approximation error recursion and gives conditions for almost-sure convergence.https://dudusoar.github.io/posts/stochastic-approximation/21-why-mean-square-analysis-stops-at-probability/Fri, 17 Jul 2026 00:00:00 +0000https://dudusoar.github.io/posts/stochastic-approximation/21-why-mean-square-analysis-stops-at-probability/Vanishing expectation and variance control each time slice, but they do not directly control the shape of an infinite sample path.