论文标题
关于加权Tsetlin机器和感知器的等效性
On the Equivalence of the Weighted Tsetlin Machine and the Perceptron
论文作者
论文摘要
Tsetlin Machine(TM)一直在作为一种固有的可解释的机器倾斜方法越来越受欢迎,能够在各种应用程序上以低计算复杂性实现有希望的性能。 TM的可解释性和低计算复杂性是从代表各种子图案的布尔表达式继承的。尽管具有良好的特性,但TM并不是AI应用的首选方法,这主要是由于其概念和理论差异与感知和神经网络相比,它们的概念和理论差异是广为人知的,并且众所周知且知名度很高。在本文中,我们为TM的操作概念提供了详细的见解,并试图弥合感知者和TM之间理论理解的差距。更具体地说,我们研究了感知龙的分析结构后TM的操作概念,显示了感知器与TM之间的相似之处。通过分析,我们指出TM的重量更新可以视为梯度重量更新的特殊情况。我们还通过显示确定子句长度的灵活性,决策边界的可视化以及从TM获得可解释的布尔表达式来进行TM的经验分析。此外,我们还讨论了TM的结构及其解决更复杂问题的能力。
Tsetlin Machine (TM) has been gaining popularity as an inherently interpretable machine leaning method that is able to achieve promising performance with low computational complexity on a variety of applications. The interpretability and the low computational complexity of the TM are inherited from the Boolean expressions for representing various sub-patterns. Although possessing favorable properties, TM has not been the go-to method for AI applications, mainly due to its conceptual and theoretical differences compared with perceptrons and neural networks, which are more widely known and well understood. In this paper, we provide detailed insights for the operational concept of the TM, and try to bridge the gap in the theoretical understanding between the perceptron and the TM. More specifically, we study the operational concept of the TM following the analytical structure of perceptrons, showing the resemblance between the perceptrons and the TM. Through the analysis, we indicated that the TM's weight update can be considered as a special case of the gradient weight update. We also perform an empirical analysis of TM by showing the flexibility in determining the clause length, visualization of decision boundaries and obtaining interpretable boolean expressions from TM. In addition, we also discuss the advantages of TM in terms of its structure and its ability to solve more complex problems.