Multi Terminal Probabilistic Compressed Sensing

In this paper, the `Approximate Message Passing' (AMP) algorithm, initially developed for compressed sensing of signals under i.i.d. Gaussian measurement matrices, has been extended to a multi-terminal setting (MAMP algorithm). It has been shown that similar to its single terminal counterpart, the behavior of MAMP algorithm is fully characterized by a `State Evolution' (SE) equation for large block-lengths. This equation has been used to obtain the rate-distortion curve of a multi-terminal memoryless source. It is observed that by spatially coupling the measurement matrices, the rate-distortion curve of MAMP algorithm undergoes a phase transition, where the measurement rate region corresponding to a low distortion (approximately zero distortion) regime is fully characterized by the joint and conditional Renyi information dimension (RID) of the multi-terminal source. This measurement rate region is very similar to the rate region of the Slepian-Wolf distributed source coding problem where the RID plays a role similar to the discrete entropy. Simulations have been done to investigate the empirical behavior of MAMP algorithm. It is observed that simulation results match very well with predictions of SE equation for reasonably large block-lengths.Comment: 11 pages, 13 figures. arXiv admin note: text overlap with arXiv:1112.0708 by other author

Rule of Procedure of the Assembly of States parties to the Rome Statute of the International Criminal Court

In this Essay, the author intends to elaborate only on those Rules that are unique, or were the subject of lengthy discussion in the working group. It is practically impossible to discuss all rules contained in the Rules of Procedure. Before beginning, one point needs to be clarified. There are a number of rules in the Rules of Procedure that simply repeat the provisions of the Statute. This was a conscious decision made by the working group, which included harmless repetitions in order to provide a handy set of rules for future delegates to the Assembly that will cover all aspects of its activities