Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized Network Tomography   For successful estimation, the usual network tomography algorithms crucially
require i) end-to-end data generated using multicast probe packets, real or
emulated, and ii) the network to be a tree rooted at a single sender with
destinations at leaves. These requirements, consequently, limit their scope of
application. In this paper, we address successfully a general problem,
henceforth called generalized network tomography, wherein the objective is to
estimate the link performance parameters for networks with arbitrary topologies
using only end-to-end measurements of pure unicast probe packets.
Mathematically, given a binary matrix $A,$ we propose a novel algorithm to
uniquely estimate the distribution of $X,$ a vector of independent non-negative
random variables, given only IID samples of the components of the random vector
$Y = AX.$ This algorithm, in fact, does not even require any prior knowledge of
the unknown distributions. The idea is to approximate the distribution of each
component of $X$ using linear combinations of known exponential bases and
estimate the unknown weights. These weights are obtained by solving a set of
polynomial systems based on the moment generating function of the components of
$Y.$ For unique identifiability, it is only required that every pair of columns
of the matrix $A$ be linearly independent, a property that holds true for the
routing matrices of all multicast tree networks. Matlab based simulations have
been included to illustrate the potential of the proposed scheme.

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The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom