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We revisit simultaneous diophantine approximation, a classical problem from the geometry of numbers which has many applications in algorithms and complexity. The input of the decision version of this problem consists of a rational vector \alpha, an error b ...
We consider the problem of minimizing delay when broadcasting over erasure channels with feedback. A sender wishes to communicate the same set of m messages to several receivers. The sender can broadcast a single message or a combination (encoding) of mess ...
This thesis deals with the asymptotic analysis of coding systems based on sparse graph codes. The goal of this work is to analyze the decoder performance when transmitting over a general binary-input memoryless symmetric-output (BMS) channel. We consider t ...
We consider the multiuser successive refinement (MSR) problem, where the users are connected to a central server via links with different noiseless capacities, and each user wishes to reconstruct in a successive-refinement fashion. An achievable region is ...
This is the report that submitted towards the final examination evaluation of the doctoral course \textit{Modern Coding theory} by Ruediger Urbanke at EPFL during Spring 2008. The problem studied can be roughly stated as source coding or compression using ...
We consider the problem of correlated data gathering by a network with a sink node and a tree based communication structure, where the goal is to minimize the total trans- mission cost of transporting the information collected by the nodes, to the sink nod ...
We address the problem of joint path selection and rate allocation in multipath streaming in order to optimize a media specific quality of service. An optimization problem is proposed, which aims at minimizing a video distortion metric based on sequence-de ...
Failure location in transparent optical networks is difficult because of the large amount of alarms that a failure can trigger and because of corrupted alarms. One problem that network operators often face is how to set the thresholds in monitoring devices ...
Communications is about conveying information from one point to another subject to certain performance constraints. The information is assumed to be generated by a source and may, for example, represent a voice waveform, the reading of a thermal sensor, or ...
This paper studies the interaction between the communication costs in a sensor network and the structure of the data that it measures. We formulate an optimization problem definition for power efficient data gathering and assess its computational difficult ...