We consider a wireless network with fading and a single source-destination pair. The information reaches the destination through a sequence of layers of relays. A nonseparation based strategy is proposed which achieves a rate equal to the capacity of a point-to-point multiantenna system [1, 2], in the high SNR limit. Our result can also be thought of as an extension of [1, 2] for wireless netwo...

In this paper, we explore degrees of freedom in deep sigmoidal neural networks. We show that the degrees of freedom in these models are related to the expected optimism, which is the expected difference between test error and training error. We provide an efficient Monte-Carlo method to estimate the degrees of freedom for multi-class classification methods. We show that the degrees of freedom i...

Ever since Hobbes we have sought to explain such extraordinarily commonplace facts as that prudent people trust each other, keep promises and succeed by and large at coordinating so as not to collide in corridors and roadways. In fact, it is the success which meets our efforts to coordinate without communication so as not to collide in corridors, which is perhaps the most perplexing of all soci...

Multiple input multiple output (MIMO) systems have assumed great importance in recent times because of their remarkably higher capacity compared to single input single output (SISO) systems. One of the most celebrated results in this context is that the capacity of a point-to-point MIMO system withM inputs andN outputs increases linearly as min(M;N) at high SNR. For power and bandwidth limited ...

of the Thesis vi

We present a heuristic approach to the geometric motion-planning problem with the aim to quickly solve intuitively simple problems. It is based on a divide -and-conquer path search strategy, which makes inquiries about feasible paths, an efficient collision detection scheme is developed that handles translations and rotations of polyhedral to compute all times of collision. The whole algorithm ...

We study how some recently proposed noncontextuality tests based on quantum interferometry are affected if the test particles propagate as open systems in presence of a gaussian stochastic background. We show that physical consistency requires the resulting markovian dissipative time-evolution to be completely positive.

Random vibration analysis of tall structures faces multiple problems due to the large number of elements and high degrees of freedom; that is why this type of analysis is mostly used in simple structures and low degrees of freedom. In the past two decades, changes have been occurred in this type of analysis to be used in complex structures and the large number of elements. Pseudo-Excitation Met...

The well-known electro-mechanical analogy that equates current, voltage, resistance, inductance and capacitance to force, velocity, damping, spring constant and mass has a shortcoming in that mass can only be used to simulate a capacitor which has one terminal connected to ground. A new model that was previously proposed by the authors that combines a mass with a pulley (MP) is shown to simulat...