We propose causal recurrent variational autoencoder (CR-VAE), a novel generative model that is able to learn Granger graph from multivariate time series x and incorporates the underlying mechanism into its data generation process. Distinct classical VAEs, our CR-VAE uses multi-head decoder, in which p-th head responsible for generating dimension of (i.e., x^p). By imposing sparsity-inducing pen...

We derive a new upper bound for Eve’s information in secret key generation from a common random number without communication. This bound improves on Bennett[7]’s bound based on the Rényi entropy of order 2 because the bound obtained here uses the Rényi entropy of order 1+s for s ∈ [0, 1]. This bound is applied to a wire-tap channel. Then, we derive an exponential upper bound for Eve’s informati...

abstract background: the aim of this study was to compare the effects of the second- and third-generation oral contraceptives on women’s reproductive sexual function. materials and methods: this randomized, double-blind, placebo-controlled clinical trial was conducted on 82 married women of reproductive age in tehran. samples were randomized into the groups receiving second- and third-generatio...