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Estimating Network Degree Distributions Under Sampling: An Inverse Problem, with Applications to Monitoring Social Media Networks
Estimating Network Degree Distributions Sampling An Inverse Problem Applications Monitoring Social Media Networks
2013/6/14
Networks are a popular tool for representing elements in a system and their interconnectedness. Many observed networks can be viewed as only samples of some true underlying network. Such is frequently...
The three-state toric homogeneous Markov chain model has Markov degree two
three-state toric homogeneous Markov chain model Markov degree two
2012/9/18
We prove that the three-state toric homogenous Markov chain model has Markov degree two. In algebraic terminology this means, that a certain class of toric
ideals are generated by quadratic binomials...
Vertices of given degree in a random graph。
A note on the estimation of degree of differencing in long memory time series analysis
the estimation of degree long memory time series analysis
2009/9/23
In this paper we investigate the properties of the
estimator of degree of differencing the fractional d in long memory
time series analysis via consistent spectral density estimation. It is
shown t...
Vertices of degree one in a random sphere of influence graph
Vertices of degree one a random sphere of influence graph
2009/9/22
The sphere of influence graph of the set of vertices in R~
is constructed by identifying the nearest neighbour of each vertex,
centering a ball at each vertex so that its nearest neighbour lies on t...
Degree distribution nearby the origin of a preferential attachment graph
preferential attachment graph Degree distribution
2009/3/30
In a 2-parameter scale free model of random graphs it is shown that the asymptotic degree distribution is the same in the neighbourhood of every vertex. This degree distribution is still a power law w...
Degree distribution nearby the origin of a preferential attachment graph
Degree distribution preferential attachment graph
2009/3/23
In a 2-parameter scale free model of random graphs it is shown that the asymptotic degree distribution is the same in the neighbourhood of every vertex. This degree distribution is still a power law w...
Minimal average degree aberration and the state polytope for experimental designs
Minimal average degree aberration state polytope experimental designs
2010/4/30
For a particular experimental design, there is interest in finding
which polynomial models can be identified in the usual regression set
up. The algebraic methods based on Gr¨obner bases provide a s...