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Apr, 2024
可观察算子模型的逼近理论
Towards an Approximation Theory of Observable Operator Models
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Wojciech Anyszka
TL;DR
使用可观测算子模型(OOMs)对无限维过程建立近似理论, 探索了未来分布空间的内积结构以及可观测算子相对于关联2范数的连续性, 并描述了将无限维未来分布空间变成希尔伯特空间的基本障碍,为无限维过程的可观测算子近似提供了基础并提出了解决方法。
Abstract
observable operator models
(OOMs) offer a powerful framework for modelling stochastic processes, surpassing the traditional hidden Markov models (HMMs) in generality and efficiency. However, using OOMs to model
infinite
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