对离散空间的基于模拟的优化,使用投射到连续的潜空间
Gabriel Hernández-Morales1,2, Brenda Cansino-Loeza1, Arturo Jiménez-Gutiérrez2
1Department of Chemical and Biological Engineering, University of Wisconsin - Madison, 1415 Engineering Dr, Madison, Wisconsin 53706, United States.
概括
本研究介绍了一种使用变量自动编码器的新方法,通过将离散决策空间转换为连续潜伏空间来优化复杂系统. 这种方法显著降低了系统设计模拟的计算成本.
科学领域:
- 计算化学计算化学
- 工艺系统工程 工艺系统工程
- 机器学习 机器学习
背景情况:
- 具有离散决策空间的复杂系统的基于模拟的优化,由于组合式爆炸,提出了重大的计算挑战.
- 现有的方法与大量可能的替代方案作斗争,使得详尽的模拟无法实现.
- 为了设计复杂的化学过程,有效地导航这些离散空间至关重要.
研究的目的:
- 开发一种新的计算方法,以优化具有离散决策空间的复杂系统.
- 为了减少与基于模拟的优化相关的计算负担.
- 为了使化学工艺工程复杂的设计空间的有效导航.
主要方法:
- 使用变量自编码器 (VAE) 将离散决策空间转换为连续隐藏空间.
- 将VAE与贝叶斯优化 (BO) 集成在一起,以有效地探索潜在空间.
- 拟议方法应用于设计复杂的蒸系统.
主要成果:
- 拟议的基于VAE的转换有效地将离散的决策空间投射到连续的潜在空间中.
- 潜在空间的贝叶斯优化显著减少了所需的昂贵模拟的数量.
- 在设计蒸系统的案例研究中证明了成功的应用,包括酸回收和提取分隔墙柱.
结论:
- 变量自动编码器和贝叶斯优化的集成为基于模拟优化具有离散决策空间的复杂系统提供了强大而高效的解决方案.
- 这种方法显著减轻了计算挑战,为改进化学过程设计铺平了道路.
- 该方法在设计具有挑战性的分离系统时显示出实际实用性,突出了其在工艺工程中更广泛应用的潜力.
相关概念视频
Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving
375
Mechanistic models play a crucial role in algorithms for numerical problem-solving, particularly in nonlinear mixed effects modeling (NMEM). These models aim to minimize specific objective functions by evaluating various parameter estimates, leading to the development of systematic algorithms. In some cases, linearization techniques approximate the model using linear equations.
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
375
Modeling and Similitude
688
Scaled modeling is a fundamental technique in engineering, enabling the study of large and complex systems by creating smaller, manageable replicas that recreate critical characteristics of the original. In hydrology and civil infrastructure, for example, scaled models of dams help analyze water flow, turbulence, and pressure. This method allows for accurate predictions of real-world behavior within a controlled environment, significantly reducing the cost and time involved in full-scale...
688
Fischer Projections
16.9K
Learning to draw Fischer projections of molecules and understanding their relevance plays a crucial role in the visual depiction of organic molecules. A Fischer projection is a two-dimensional projection on a planar surface to simplify the three-dimensional wedge–dash representation of molecules. This is especially helpful in the case of molecules with multiple chiral centers that can be difficult to draw. Here, all the bonds of interest are represented as horizontal or vertical lines. While...
16.9K
State Space Representation
636
The frequency-domain technique, commonly used in analyzing and designing feedback control systems, is effective for linear, time-invariant systems. However, it falls short when dealing with nonlinear, time-varying, and multiple-input multiple-output systems. The time-domain or state-space approach addresses these limitations by utilizing state variables to construct simultaneous, first-order differential equations, known as state equations, for an nth-order system.
Consider an RLC circuit, a...
Consider an RLC circuit, a...
636
Multicompartment Models: Overview
663
Multicompartment models are mathematical constructs that depict how drugs are distributed and eliminated within the body. They segment the body into several compartments, symbolizing various physiological or anatomical areas connected through drug transfer processes such as absorption, metabolism, distribution, and elimination.
These models offer a more comprehensive representation of drug behavior in the body than one-compartment models. They accommodate the complexity of drug distribution,...
These models offer a more comprehensive representation of drug behavior in the body than one-compartment models. They accommodate the complexity of drug distribution,...
663
Mathematical Modeling: Problem Solving
460
Mathematical modeling transforms real-world scenarios into mathematical expressions, allowing for structured problem-solving and analysis. This process involves defining the situation, assigning variables to measurable quantities, selecting an appropriate model, and solving the resulting equation. Such models are invaluable in finance, providing precise methods to evaluate investments, loans, and repayment structures.A widely used example is the calculation of fixed monthly payments on a loan,...
460

