Maximum-entropy random graph models are random graph models used to study complex networks subject to the principle of maximum entropy under a set of structural...

random graph refers almost exclusively to the Erdős–Rényi random graph model. In other contexts, any graph model may be referred to as a random graph...

network entropy is a disorder measure derived from information theory to describe the level of randomness and the amount of information encoded in a graph. It...

In information theory, the entropy of a random variable quantifies the average level of uncertainty or information associated with the variable's potential...

field of graph theory, the Erdős–Rényi model refers to one of two closely related models for generating random graphs or the evolution of a random network...

Markov property described by an undirected graph. In other words, a random field is said to be a Markov random field if it satisfies Markov properties....

Machine Quantum random walk Gaussian random walk estimator Electron Conductance Models Using Maximal Entropy Random Walks Wolfram Demonstrations Project...

mathematics, the soft configuration model (SCM) is a random graph model subject to the principle of maximum entropy under constraints on the expectation...

Exponential family random graph models (ERGMs) are a set of statistical models used to study the structure and patterns within networks, such as those...

The Watts–Strogatz model is a random graph generation model that produces graphs with small-world properties, including short average path lengths and...

theorem Maximum entropy Markov model (MEMM) Lafferty, J.; McCallum, A.; Pereira, F. (2001). "Conditional random fields: Probabilistic models for segmenting...

maximizes entropy (minimizes added information), and in this sense makes the fewest assumptions of the data being modeled; see § Maximum entropy. The parameters...

distribution. It models a broad range of random variables, largely in the nature of a time to failure or time between events. Examples are maximum one-day rainfalls...

Carlo method the grid space from the random initialisations of the grid to produce a calculation of the entropy; S = k B ln Ω ( R ) . {\textstyle...

The stochastic block model is a generative model for random graphs. This model tends to produce graphs containing communities, subsets of nodes characterized...

In statistics and information theory, a maximum entropy probability distribution has entropy that is at least as great as that of all other members of...

Maximal entropy random walk (MERW) is a popular type of biased random walk on a graph, in which transition probabilities are chosen accordingly to the...

Configuration Model is a family of random graph models designed to generate networks from a given degree sequence. Unlike simpler models such as the Erdős–Rényi...

the calculated entropy of the sample. The method gives very accurate results, but it is limited to calculations of random sequences modeled as Markov chains...

language models, cross-entropy is generally the preferred metric over entropy. The underlying principle is that a lower BPW is indicative of a model's enhanced...

N(\mu ,\sigma ^{2})} is the one with maximum entropy. To see this, let ⁠ X {\displaystyle X} ⁠ be a continuous random variable with probability density ⁠...

In graph theory, a random geometric graph (RGG) is the mathematically simplest spatial network, namely an undirected graph constructed by randomly placing...

than expected by random chance. Watts and Strogatz then proposed a novel graph model, currently named the Watts and Strogatz model, with (i) a small...

S and G\S. A maximum cut size is at least the size of any other cut, varying S. For the Ising model without an external field on a graph G, the Hamiltonian...

Mersenne Twister Coloring algorithm: Graph coloring algorithm. Hopcroft–Karp algorithm: convert a bipartite graph to a maximum cardinality matching Hungarian...

p=\log(4\pi \gamma )} The Cauchy distribution is the maximum entropy probability distribution for a random variate X {\displaystyle X} for which E ⁡ [ log...

uniform sampling. Random graph – Graph generated by a random process Erdős–Rényi model – Two closely related models for generating random graphs Non-linear preferential...

while random graph models such as the Erdős–Rényi (ER) model and the Watts–Strogatz (WS) model do not exhibit power laws. The Barabási–Albert model is one...

Entropy is a scientific concept, most commonly associated with states of disorder, randomness, or uncertainty. The term and the concept are used in diverse...

In network science, a biased random walk on a graph is a time path process in which an evolving variable jumps from its current state to one of various...