论文标题
储层计算机在混乱边缘是否效果最好?
Do Reservoir Computers Work Best at the Edge of Chaos?
论文作者
论文摘要
已经证明,细胞自动机在混乱边缘具有最高的计算能力,这是其行为从有序转变为混乱的参数。同样的概念已应用于储层计算机。许多研究人员指出,储层计算机的最高计算能力处于混乱的边缘,尽管其他人建议该规则并非普遍真实。由于许多储层计算机没有显示混乱的行为,而只是变得不稳定,因此人们认为,这种不稳定性过渡的更准确的术语是这里的“稳定边缘”,我发现了两个示例,其中储层计算机的计算能力随着稳定性的边缘而降低。在一种情况下,由于广义同步分解,而在另一种情况下,因为储层计算机与解决问题的匹配不佳。尽管在某些情况下可能是正确的,但稳定性作为储层计算机的最佳操作点的边缘并非如此。
It has been demonstrated that cellular automata had the highest computational capacity at the edge of chaos, the parameter at which their behavior transitioned from ordered to chaotic. This same concept has been applied to reservoir computers; a number of researchers have stated that the highest computational capacity for a reservoir computer is at the edge of chaos, although others have suggested that this rule is not universally true. Because many reservoir computers do not show chaotic behavior but merely become unstable, it is felt that a more accurate term for this instability transition is the "edge of stability"Here I find two examples where the computational capacity of a reservoir computer decreases as the edge of stability is approached; in one case, because generalized synchronization breaks down, and in the other case because the reservoir computer is a poor match to the problem being solved. The edge of stability as an optimal operating point for a reservoir computer is not in general true, although it may be true in some cases.