隐藏的马尔科夫模拟单粒子扩散与随机连接
Amit Federbush1,2, Amit Moscovich3, Yohai Bar-Sinai1,2
1Department of Condensed Matter Physics, Tel Aviv University, Tel Aviv 69978, Israel.
Physical review. E
|April 18, 2024
概括
我们开发了一种新的算法,用于分析2D布朗运动中的粒子运动,使用暂时的表面连接. 这种方法准确地推断出隐藏的状态,并根据观察到的轨迹估计物理参数.
科学领域:
- 物理 物理学 物理
- 物理化学 物理化学
- 统计力学 统计力学
背景情况:
- 粒子扩散统计用于研究环境相互作用.
- 从观察到的粒子轨迹中推断物理性质是复杂的.
- 暂时与表面连接会影响粒子运动.
研究的目的:
- 分析2D布朗运动与暂时的表面连接.
- 开发一种推断隐藏状态和物理参数的方法.
- 为分析复杂粒子动态提供强大的算法.
主要方法:
- 将系统建模为一个隐藏的马尔科夫模型 (HMM).
- 使用交替最大化算法进行推断.
- 在状态和参数估计中使用类似于点的近似方法.
主要成果:
- 该算法可靠地推断出隐藏状态并估计物理参数.
- 该方法对初始参数猜测不敏感.
- 在不同的物理参数模式中分析性能.
结论:
- 开发的算法准确地分析了使用暂时连接的粒子动态.
- 这种方法提供了一种可靠的方法,可以从复杂的轨迹中提取物理见解.
- 免费软件实现可用于更广泛的使用.
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