论文标题
评估随机细胞自动机中临界行为的鲁棒性
Assessing the robustness of critical behavior in stochastic cellular automata
论文作者
论文摘要
有证据表明，诸如大脑之类的生物系统在噪声方面的临界状态稳健，因此能够在扰动下保留在噪声中。在这项工作中，我们解决了关键系统对噪声的鲁棒性问题。特别是，我们研究了临界时随机细胞自动机（CA）的鲁棒性。随机CA是显示关键性的最简单随机模型之一。随机CA的过渡状态是通过一组概率来定义的。我们系统地扰动已知会产生关键行为的最佳随机CA的概率，我们报告说，这样的CA能够保持在一定程度的噪声中的关键状态。我们使用所得幂律拟合的误差指标（例如Kolmogorov-Smirnov统计量和Kullback-Leibler Divergence）介绍了结果。我们讨论了我们的结果对未来脑启发的人工智能系统的实现的含义。
There is evidence that biological systems, such as the brain, work at a critical regime robust to noise, and are therefore able to remain in it under perturbations. In this work, we address the question of robustness of critical systems to noise. In particular, we investigate the robustness of stochastic cellular automata (CAs) at criticality. A stochastic CA is one of the simplest stochastic models showing criticality. The transition state of stochastic CA is defined through a set of probabilities. We systematically perturb the probabilities of an optimal stochastic CA known to produce critical behavior, and we report that such a CA is able to remain in a critical regime up to a certain degree of noise. We present the results using error metrics of the resulting power-law fitting, such as Kolmogorov-Smirnov statistic and Kullback-Leibler divergence. We discuss the implication of our results in regards to future realization of brain-inspired artificial intelligence systems.
