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Pareto-optimality is everywhere: From engineering design, machine learning, to biological systems 帕累托最优性无处不在:从工程设计、机器学习到生物系统
Pub Date : 2008-03-04 DOI: 10.1109/GEFS.2008.4484555
Yaochu Jin
This talk attempts to argue that almost all adaptive systems have multiple objectives to achieve. Very often, there is no single solution that can optimize all objectives, in which case, the concept of Pareto-optimization plays an important rule. Examples will be given ranging from engineering design, machine learning, to biological systems to show how Pareto-optimality can make a difference in analyzing these systems. The first example we will discuss is the aerodynamic design optimization of turbine blades, where energy efficiency in terms of pressure loss as well as the variation of pressure distribution must be minimized. One additional difficulty in aerodynamic design optimization is that the quality of candidate designs must be assessed by performing computational fluid dynamics analysis, which is very time consuming. To reduce computation time, computational techniques like parallel computation, and machine learning techniques, such as meta-modeling can be employed.Surprisingly interesting results will also be achieved when the concept of Pareto-optimality is applied to machine learning. Two cases will be provided to illustrate this idea. In the first case, we show how Pareto-based approach can address neural network regularization more elegantly, through which deeper insights into the problem can be gained. In the second case, we show that analysis of the Pareto-optimal solutions will help determine the optimal number of clusters in data clustering, which again shown how the Pareto front can disclose additional knowledge about the problem at hand. The final example is concerned with tradeoffs in simulated evolution of genetic representation. It has been argued that robustness is critical for biological evolution, because without certain degree of robustness to mutations, it is impossible for evolution to create new functionalities. Therefore, evolution must find representations that are sufficiently robust yet have the potential to innovate. Examples will be given to show that such tradeoff does exist in evolving both a stationary genotype-phenotype mapping, and also a gene regulatory network described by a random Boolean network.
本演讲试图论证几乎所有的适应性系统都有多个目标要实现。通常,没有单一的解决方案可以优化所有的目标,在这种情况下,帕累托优化的概念起着重要的作用。将给出从工程设计、机器学习到生物系统的例子,以展示帕累托最优性如何在分析这些系统时发挥作用。我们将讨论的第一个例子是涡轮叶片的气动设计优化,其中能量效率方面的压力损失以及压力分布的变化必须最小化。气动设计优化的另一个难点是必须通过计算流体动力学分析来评估候选设计的质量,这非常耗时。为了减少计算时间,可以使用并行计算等计算技术和元建模等机器学习技术。当帕累托最优的概念应用于机器学习时,也会获得令人惊讶的有趣结果。将提供两个案例来说明这个想法。在第一种情况下,我们展示了基于帕累托的方法如何更优雅地解决神经网络正则化问题,通过这种方法可以更深入地了解问题。在第二种情况下,我们展示了对帕累托最优解的分析将有助于确定数据聚类中的最佳簇数,这再次显示了帕累托前沿如何揭示手头问题的额外知识。最后一个例子是关于遗传表征模拟进化中的权衡。人们一直认为,鲁棒性对生物进化至关重要,因为如果没有一定程度的对突变的鲁棒性,进化就不可能创造新的功能。因此,进化必须找到足够健壮但又有创新潜力的表征。将给出的例子表明,这种权衡确实存在于进化中,既稳定的基因型-表型定位,也由随机布尔网络描述的基因调控网络。
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引用次数: 4
Concepts of evolvable and knowledge-consistent fuzzy models 可进化和知识一致模糊模型的概念
Pub Date : 2008-03-04 DOI: 10.1109/GEFS.2008.4484557
W. Pedrycz
In this study, we augment the highly impressive record of developments of fuzzy models by bringing the ideas of evolvable and knowledge-consistent fuzzy modeling. More often than in the past, we are exposed to highly distributed data reflecting some temporal or spatial variability of the problem. Owing to some non-technical reasons (e.g., data privacy and security) or existing technical constraints, the models built locally cannot take advantage of the data available elsewhere. Instead one could be provided with some more abstract entities such as information granules that are reflective of the knowledge conveyed by some other models which could be effectively shared. The two main categories of design schemes discussed here demonstrate the effect of achieving knowledge consistency which augments the existing paradigm of fuzzy modeling. In the first one, we are concerned with sharing temporal knowledge where the models are formed for temporal data available in successive time slices pertinent to the problem at hand and the available temporal knowledge (captured in terms of the structure and parameters of the models) whose usage incorporates the factor of time. In this sense, the resulting fuzzy models become highly evolvable modeling architectures. The spatial nature of knowledge is associated with fuzzy models which are constructed on a basis of data pertinent to some local regions (such as sections of wireless sensor networks, sales regions, etc.). While the introduced conceptual developments are of substantial level of generality, the study will focus on a family of rule-based fuzzy models to illustrate the ensuing algorithmic aspects of the fundamental concepts.
在这项研究中,我们通过引入可进化和知识一致模糊建模的思想来增强模糊模型发展的令人印象深刻的记录。与过去相比,我们更经常地接触到反映问题的一些时间或空间变异性的高度分布的数据。由于一些非技术原因(例如,数据隐私和安全)或现有的技术限制,本地构建的模型无法利用其他地方可用的数据。相反,可以提供一些更抽象的实体,如信息颗粒,这些实体反映了其他模型所传递的知识,可以有效地共享。本文讨论的两类主要设计方案展示了实现知识一致性的效果,这增强了现有的模糊建模范式。在第一个模型中,我们关注的是时间知识的共享,其中模型是为与手头问题相关的连续时间片中可用的时间数据和可用的时间知识(根据模型的结构和参数捕获)而形成的,其使用包含了时间因素。从这个意义上说,得到的模糊模型成为高度可进化的建模体系结构。知识的空间性质与模糊模型有关,这些模型是在与某些局部区域(如无线传感器网络的部分,销售区域等)相关的数据基础上构建的。虽然所介绍的概念发展具有相当程度的普遍性,但研究将集中在一系列基于规则的模糊模型上,以说明基本概念的后续算法方面。
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引用次数: 0
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IEEE Workshop on Genetic and Evolutionary Fuzzy Systems
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