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Information theoretic divergences are fundamental tools used to measure the difference between the information conveyed by two random processes. In this paper, we show that the Cauchy-Schwarz divergence between two Poisson point processes is the half the squared L2-distance between their respective intensity functions. Moreover, this can be evaluated in closed form when the intensities are Gaussian...
We show that two essentially conditional linear inequalities for Shannon's entropies (including the Zhang-Yeung'97 conditional inequality) do not hold for asymptotically entropic points. This means that these inequalities are non-robust in a very strong sense. This result raises the question of the meaning of these inequalities and the validity of their use in practice-oriented applications.
In this work, we address the capacity region of multi-source multi-terminal network communication problems, and study the change in capacity when one moves form independent to dependent source information. Specifically, we ask whether the trade off between capacity and source independence is of continuous nature. We tie the question at hand to that of edge removal which has seen recent interest.
We consider the problem of communicating degraded message sets over multi-access channel with finite input and output alphabets that is controlled by an underlying i.i.d. state process. Inner and outer bounds are presented for the general case where encoders possess non-causal degraded state information. Two special cases of the general setup are then presented where the derived inner bound is shown...
Despite its simplicity (two controllers and otherwise LQG), Witsenhausen's counterexample is one of the long-standing open problems in stochastic distributed control. Recently, it was proved that an asymptotic vector ??relaxation?? can be solved to within a constant factor of the optimal cost. A parallel result is shown here for the original scalar problem. Between linear strategies and explicit-signalling-based...
This paper prepares a review of ICA based approaches that are used for separation of components in functional MRI sequences. In previous works, the FastICA and the Infomax algorithms are investigated in more details; therefore, in this paper we focus on methods such as "radical ICA", "SDD ICA", "Erica" and "Evd" for separation purposes. This comparative study...
Unitary space-time constellation design is considered for noncoherent multiple-antenna communications, where neither the transmitter nor the receiver knows the fading coefficients of the channel. By employing the Clarke's subdifferential theorem of the sum of the kappa largest singular values of a unitary matrix, we present a numerical optimization procedure for finding unitary space-time signal constellations...
This work studies the performance of a data-driven reduced rank scheme for rapid timing acquisition in multiple access communications. Our results show that when only a limited amount of preamble bits are available, instead of the true second-order statistics (SOS), the reduced rank scheme provides reliable timing information. Exploiting the structure of the multiple access interference, the data...
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