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Due to the prevalence and severe consequences of cyberbullying, numerous research works have focused on mining and analyzing social network data to understand cyberbullying behavior and then using the gathered insights to develop accurate classifiers to detect cyberbullying. Some recent works have been proposed to leverage the detection classifiers in a centralized cyberbullying detection system and send notifications to the concerned authority whenever a person is perceived to be victimized. However, two concerns limit the effectiveness of a centralized cyberbullying detection system. First, a centralized detection system gives a uniform severity level of alerts to everyone, even though individual guardiansmore »

We prove a conditional theorem on the positivity of the Lyapunov exponent for a Schrödinger cocycle over a skewshift base with a cosine potential and the golden ratio as frequency. For coupling below $1$ , which is the threshold for Herman’s subharmonicity trick, we formulate three conditions on the Lyapunov exponent in a finite but large volume and on the associated largedeviation estimates at that scale. Our main results demonstrate that these finitesize conditions imply the positivity of the infinitevolume Lyapunov exponent. This paper shows that it is possible to make the techniques developed for the study of Schrödinger operatorsmore »

Free, publiclyaccessible full text available June 1, 2023