列减少了数字网的数量
Vishnupriya Anupindi1, Peter Kritzer1
1RICAM, Austrian Academy of Sciences, Altenbergerstr. 69, 4040 Linz, Austria.
概括
本研究引入了一种新的算法,用于快速的矩阵向量产品,使用近似蒙特卡洛 (QMC) 方法的列减少数字网. 这种方法提高了计算速度,并简化了QMC集成节点的错误分析.
科学领域:
- 数字分析 数字分析
- 计算数学 计算数学 计算数学
- 准蒙特卡洛方法 准蒙特卡洛方法
背景情况:
- 数字网络有效地为准蒙特卡洛 (QMC) 规则生成集成节点.
- 使用QMC节点加速矩阵向量产品对于不确定性量化等应用至关重要.
- 之前的工作使用了减少格子和行减少数字网来加快速度.
研究的目的:
- 为QMC开发一种新的矩阵向量乘法算法.
- 为了利用列式减少数字网的重复结构.
- 改进快速QMC矩阵向量产品的现有方法.
主要方法:
- 提出了一个新的乘法算法,利用列减少数字网.
- 开发了列缩小数字网的质量参数的上限.
- 进行数值测试以验证算法的效率.
主要成果:
- 新的算法利用了列减少数字网的结构,以获得更快的矩阵向量产品.
- 这种方法与以前的方法相比,更容易进行错误分析.
- 数字测试证明了拟议的算法的效率.
结论:
- 开发的算法为QMC中的矩阵向量产品提供了一个有效的替代方案.
- 利用减少列数码网,在速度和错误分析方面提供了优势.
- 这些发现有助于在QMC应用中推进计算方法.
相关概念视频
Block Diagram Reduction
596
The process of deriving the transfer function of a control system often involves reducing its block diagram to a single block. This simplification can be achieved through a series of strategic operations, including relocating branch points and comparators. These operations preserve the overall function of the system while allowing for easier manipulation and combination of blocks.
The first step in this process is the identification and relocation of a branch point. A branch point, where a...
The first step in this process is the identification and relocation of a branch point. A branch point, where a...
596
Pilot and Numeric Relaying
503
Pilot relaying is a type of differential protection used in power systems. It compares electrical quantities at the terminals of equipment via a communication channel instead of direct relay interconnection. This method is essential for transmission lines where the terminals are far apart, typically up to 80 km for lines with 69 to 115 kV ratings. Four types of communication channels are used for pilot relaying:
503
Norton Equivalent Circuits
864
Norton's theorem is a fundamental concept in the field of electrical engineering that allows for the simplification of complex AC circuits. The theorem states that any two-terminal linear network can be replaced with an equivalent circuit that consists of an impedance, which is parallel with a constant current source. Figure 1 shows the AC circuit portioned into two parts: Circuit A and Circuit B, while Figure 2 depicts the circuit obtained by replacing Circuit A by its Norton equivalent...
864
Clipper Circuit
915
A clipper circuit is a fundamental wave-shaping device that harnesses the unique properties of diodes to alter and control waveform characteristics. This technology is widely used in electronic devices, especially in television and radar communication systems, where it enhances waveform modulation in both transmitters and receivers.
The operation of a clipper circuit can be exemplified by analyzing a dual-clipper configuration setup that integrates two ideal diodes, each paired with a biasing...
The operation of a clipper circuit can be exemplified by analyzing a dual-clipper configuration setup that integrates two ideal diodes, each paired with a biasing...
915
Reducing Line Loss
406
In a three-phase circuit, line loss is an indicator of energy dissipated as heat due to the resistance of transmission lines. To address this, incorporating transformers into the system—a step-up transformer at the source and a step-down transformer at the load—is a strategic solution. Two three-phase transformers are introduced to improve this.
With a step-up transformer at the source, the voltage is increased, thereby reducing the current in the transmission lines since power loss in...
With a step-up transformer at the source, the voltage is increased, thereby reducing the current in the transmission lines since power loss in...
406
¹³C NMR: ¹H–¹³C Decoupling
1.9K
The probability of having two carbon-13 atoms next to each other is negligible because of the low natural abundance of carbon-13. Consequently, peak splitting due to carbon-carbon spin-spin coupling is not observed in spectra. However, protons up to three sigma bonds away split the carbon signal according to the n+1 rule, resulting in complicated spectra.
A broadband decoupling technique is used to simplify these complex, sometimes overlapping, signals. Broadband decoupling relies on a...
A broadband decoupling technique is used to simplify these complex, sometimes overlapping, signals. Broadband decoupling relies on a...
1.9K


