论文标题
稳定性和记忆力障碍：动态与计算的三个结果
Stability and Memory-loss go Hand-in-Hand: Three Results in Dynamics & Computation
论文作者
论文摘要
搜索有助于建立动力学和计算之间关系的通用定律是由生物学启发的计算中的最新扩张主义计划驱动的。了解这种动力学和计算的一般设置是响应时间输入的动力学系统。令人惊讶的是，我们发现记忆损失的一个驱动系统的功能忘记了其内部状态，有助于为以下几十年来未得到答复的以下基本稳定性问题提供明确的答案：什么是必要和足够的，因此略有不同的输入仍然导致大多数相似的回答？更改驱动系统的参数如何影响稳定性？关键边缘的数学定义是什么？我们预计我们的结果将及时理解和设计具有生物学启发的计算机，这些计算机正在进入一个专门的硬件实现时代，用于神经形态计算和最新的储层计算应用程序。
The search for universal laws that help establish a relationship between dynamics and computation is driven by recent expansionist initiatives in biologically inspired computing. A general setting to understand both such dynamics and computation is a driven dynamical system that responds to a temporal input. Surprisingly, we find memory-loss a feature of driven systems to forget their internal states helps provide unambiguous answers to the following fundamental stability questions that have been unanswered for decades: what is necessary and sufficient so that slightly different inputs still lead to mostly similar responses? How does changing the driven system's parameters affect stability? What is the mathematical definition of the edge-of-criticality? We anticipate our results to be timely in understanding and designing biologically inspired computers that are entering an era of dedicated hardware implementations for neuromorphic computing and state-of-the-art reservoir computing applications.
