Bayesian Learning
A Defining Markov locality and relating it to p locality
Markov locality, which will use the language of Markov blankets. Markov blanket but not all blankets are boundaries. A Markov boundary can be thought of as the set of variables that'locally' communicate with the parameter Importantly, for Markov-locality to be of use, we would like the Markov boundaries of random variables in the model of interest to be unique. Assume all quantities are as in A.1, that the conditional independence relationships This proof relies on Lemma A.1, proved below. We wish to prove Eq. 2 Eq.
_NeurIPS2023_CR__Certified_Backdoor_Detection.pdf
Thus, we did not create new threats to society. Moreover, our work provides a new perspective on backdoor defense, as it is the first to address the certification of backdoor detection. This assumption holds in general in practice. In our setting, this is reflected by a small samplewise local probability for the labeled class for most samples used for computing LDP, which may easily lead to a large LDP . In the following, we show that a larger deviation of the learned decision boundary of a binary Bayesian classifier will affect its LDP .