TiDHy:通过超级网络进行时间尺度脱,从混合观测中学习同步动态
Elliott T T Abe1,2,3, Bingni W Brunton1,2,3
1Biology Department, University of Washington, Seattle, Washington, USA.
bioRxiv : the preprint server for biology
|February 20, 2025
概括
我们通过超级网络 (TiDHy) 开发了时间尺度脱混合,这是一种新的方法,可以从复杂的数据中分离多个并发的神经动态和时间尺度. 这个算法准确地模拟了不同速度的系统,增强了我们对神经过程的理解.
科学领域:
- 计算神经科学是一种神经科学.
- 动态系统理论 动态系统理论
- 机器学习 机器学习
背景情况:
- 神经活动和行为涉及多个并发的时间变化的系统 (神经调节,神经状态,历史).
- 当前的方法往往将这些复杂的数据简化为单个时间尺度,限制了分析.
- 需要的方法可以解开跨不同时间尺度的同时动态.
研究的目的:
- 通过超级网络 (TiDHy) 引入时间尺度脱,这是一种新的计算方法.
- 将时空数据分解为具有不同时间尺度的多个同时潜伏的动态系统.
- 为了证明TiDHy能够准确地建模和重建复杂的生物数据的能力.
主要方法:
- TiDHy利用一个超级网络来动态重量潜在动态的线性组合.
- 该方法经过训练,以捕捉数据变化的多个时间尺度.
- 对合成数据,模拟运动和多动物社会行为数据集进行验证.
主要成果:
- TiDHy成功地从合成数据中脱动态和时间尺度,即使有混合观测.
- 在模拟机车运动中,TiDHy既捕获了快速运动动力学,也捕获了缓慢地形动力学.
- 从社会行为数据中提取关键点轨迹动态,准确识别了小鼠的社会互动.
结论:
- TiDHy是一种强大的新算法,用于同时消除潜在动态系统的混合.
- 该方法准确地重建数据,并汇聚到真正的潜在动态.
- TiDHy在计算神经科学和其他分析时空数据的领域有广泛的应用.
相关概念视频
01:20Downsampling
126
When considering a sampled sequence with zero values between sampling instants, one can replace it by taking every N-th value of the sequence. At these integer multiples of N, the original and sampled sequences coincide. This process, known as decimation, involves extracting every N-th sample from a sequence, thereby creating a more efficient sequence.
The Fourier transform of the decimated sequence reveals a combination of scaled and shifted versions of the original spectrum. This...
The Fourier transform of the decimated sequence reveals a combination of scaled and shifted versions of the original spectrum. This...
126
01:25Multimachine Stability
133
Multimachine stability analysis is crucial for understanding the dynamics and stability of power systems with multiple synchronous machines. The objective is to solve the swing equations for a network of M machines connected to an N-bus power system.
In analyzing the system, the nodal equations represent the relationship between bus voltages, machine voltages, and machine currents. The nodal equation is given by:
In analyzing the system, the nodal equations represent the relationship between bus voltages, machine voltages, and machine currents. The nodal equation is given by:
133
01:22Upsampling
193
Managing signal sampling rates is essential in digital signal processing to maintain signal integrity. A decimated signal, characterized by a reduced frequency range due to its lower sampling rate, can be upsampled by inserting zeros between each sample. This upsampling process expands the original spectrum and introduces repeated spectral replicas at intervals dictated by the new Nyquist frequency. To refine this zero-inserted sequence, it is passed through a lowpass filter with a cutoff...
193