Our account begins in 1931/1932, when one of the fathers of quantum theory, Erwin Schrodinger, proposed a Gedankenexperiment to comprehend the propagation of a cloud of Brownian particles. He proposed [1], [2] the inference problem to identify the most likely evolution of a large collection of particles as they traverse between two endpoints in time- their distribution being measured and available at the two endpoints. This random evolution, now known as the Schrodinger bridge, entails a flow of one-time distributions that interpolate the known initial and final marginals.

中文翻译：

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 控制不确定性


我们的叙述始于 1931/1932 年，当时量子理论之父之一欧文·薛定谔提出了格丹肯实验来理解布朗粒子云的传播。他提出了 [1]、[2] 推理问题，以识别大量粒子在时间上在两个端点之间穿越时最可能的演化——它们的分布在两个端点处被测量和可用。这种随机演化，现在被称为薛定谔桥，需要插入已知的初始和最终边缘的一次性分布流。