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相关概念视频

Types Of Transformers01:16

Types Of Transformers

951
Transformers can provide desired voltages to a circuit by modifying the number of turns in the secondary windings.
If the ratio of the number of turns in the secondary winding to that of the primary winding is greater than one, then the transformer is said to be a step-up transformer. In a step-up transformer, the voltage at the secondary winding is greater than the voltage applied at the primary winding.
However, if this ratio is less than one, the transformer is said to be a step-down...
951
Multi-input and Multi-variable systems01:22

Multi-input and Multi-variable systems

101
Cruise control systems in cars are designed as multi-input systems to maintain a driver's desired speed while compensating for external disturbances such as changes in terrain. The block diagram for a cruise control system typically includes two main inputs: the desired speed set by the driver and any external disturbances, such as the incline of the road. By adjusting the engine throttle, the system maintains the vehicle's speed as close to the desired value as possible.
In the absence...
101
Transformers01:26

Transformers

1.1K
A device that transforms voltages from one value to another using induction is called a transformer. A transformer consists of two separate coils, or windings, wrapped around the same soft iron core. However, they are electrically insulated from each other.
The iron core has a substantial relative permeability. Therefore, the magnetic field lines generated due to the current in one winding are almost entirely confined within the core, such that the same magnetic flux permeates each turn of both...
1.1K
Transformers with Off-Nominal Turns Ratios01:25

Transformers with Off-Nominal Turns Ratios

141
In scenarios involving parallel transformers with disparate ratings, developing per-unit models requires accommodating off-nominal turns ratios. This situation arises when the selected base voltages are not proportional to the transformer’s voltage ratings. Consider a transformer where the rated voltages are related by the term a. If the chosen voltage bases satisfy a relationship involving term b, term c is defined as the ratio of these bases. This ratio is then substituted into the...
141
Transformers in Distribution System01:27

Transformers in Distribution System

99
Transformers in distribution systems can be broadly categorized into distribution substation transformers and other distribution transformers. They are crucial for stepping down high transmission voltages to levels suitable for distribution and end-user applications.
Distribution substation transformers come in various ratings and typically use mineral oil for insulation and cooling. To prevent moisture and air from entering the oil, some transformers use an inert gas like nitrogen to fill the...
99
Convolution Properties I01:20

Convolution Properties I

140
Convolution computations can be simplified by utilizing their inherent properties.
The commutative property reveals that the input and the impulse response of an LTI (Linear Time-Invariant) system can be interchanged without affecting the output:
140

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相关实验视频

Updated: Jun 11, 2025

A Swin Transformer-Based Model for Thyroid Nodule Detection in Ultrasound Images
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A Swin Transformer-Based Model for Thyroid Nodule Detection in Ultrasound Images

Published on: April 21, 2023

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预测:使用多式变压器预测多个操作符和符号表达式.

Yuxuan Liu1, Zecheng Zhang2, Hayden Schaeffer1

  • 1Department of Mathematics, UCLA, Los Angeles, CA 90024, USA.

Neural networks : the official journal of the International Neural Network Society
|September 28, 2024
PubMed
概括
此摘要是机器生成的。

预测多个运算符和符号表达式 (PROSE) 使用一种新的多式方式来同时学习微分方程及其解决方案. 这种方法增强了科学计算任务的概括性,例如实时预测和反向问题.

关键词:
学习管理方程的学习.多操作员学习多操作员学习多模式科学基础模型科学机器学习科学机器学习符号编码是一个符号编码.

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科学领域:

  • 科学计算科学计算
  • 机器学习 机器学习
  • 微分方程 微分方程 微分方程

背景情况:

  • 神经网络为科学计算近似微分方程.
  • 现有的方法要么学习系统的运算符,要么学习控制方程,从而产生不同的表示.
  • 微分方程家族具有共同的特征,激发了统一的网络表示.

研究的目的:

  • 为各种微分方程开发一个统一的网络表示.
  • 允许同时学习多运算符和控制方程.
  • 在科学计算任务中增强概括能力.

主要方法:

  • 介绍预测多个运算符和符号表达式 (PROSE),一种多式模式的方法.
  • 使用一种新的融合结构,同时进行多操作员和方程构建.
  • 整合一种语言模型用于符号表达式生成和方程发现.

主要成果:

  • 在25600个不同的方程中,PROSE展示了强大的泛化.
  • 多式联网方法有效处理杂数据,方程错误规范和数据不平衡.
  • PROSE成功地解决了微分方程,预测了未来的状态,并产生了运动的基本方程.

结论:

  • PROSE提供了一个新的操作者学习框架,集成多式联通输入/输出和语言模型.
  • 这种框架对于在微分方程中解决前置和反向问题的有效.
  • 该方法在科学计算的概括性和稳定性方面取得了显著的改进.