Summary of diffusion for Poisson point process
Deterministic walk on Poisson point process
... for Poisson outdegree-one graphs which can be interpreted as a counterpart of the mass transport principle: roughly speaking, if there exists, with positive probability, an infinite forward branch then the ...
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Continuous time random walk and diffusion with generalized fractional Poisson process
... counting process, the ‘generalized fractional Poisson process’ (GFPP) in- troduced by Cahoy and Polito in 2013 is ...fractional Poisson dis- tribution and to the fractional Kolmogorov-Feller ...
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Poisson process bandits:Sequential models and algorithms for maximising the detection of point data
... observing point process data, the detection of events may be ...stationary process, the distribution of observed events can vary as data is ...
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COEVOLVE: A Joint Point Process Model for Information Diffusion and Network Evolution
... the process, and too fine a discretization will increase the computational and inference costs of the ...Cox-intensity Poisson model with exponential random graphs to model friendship ...to point ...
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From symmetry breaking to Poisson Point Process in 2D Voronoi Tessellations: the generic nature of hexagons
... This numerical study wishes to bridge the properties of the regular square and honeycomb hexagonal Voronoi tessellations of the plane to those generating from Poisson point processes, thus analyzing in a ...
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Poisson approximation for some point processes in reliability
... failure point pro- cess (pp) defined in [9] for which the Littlewood’s model is a particular ...counting process corresponding to this pp converges in distribution to the counting process of an HPP ...
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Supervised gamma process Poisson factorization
... This section considers a synthetic corpus to gain intuition into the model parame- ters. The data has 90 documents and 60 words arranged in a block diagonal structure. The upper third of the block diagonal are assigned a ...
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The fractional non-homogeneous Poisson process
... homogeneous Poisson process e N α (t) = N 1 (Y α (t)) and replaces the time with a rate function ...heuristic point of view, we expect that non-homogeneous fractional Poisson processes can be ...
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Filtered Poisson Process Bandit on a Continuum
... non-homogeneous Poisson process. Point data in the filtered sample are then revealed to the decision-maker, whose reward is the total number of revealed ...the Poisson in- tensity function, ...
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Chapter 2. Poisson s Equation. 2.1 Physical Origins. The Diffusion Equation. Poisson s equation,
... We have ignored in this discussion the boundary conditions. These do, of course, have an effect on the evolution of the solution, but in general their effect is of subsidiary importance if the method we are using is ...
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Wright Fisher construction of the two parameter Poisson Dirichlet diffusion
... two-parameter Poisson–Dirichlet diffusion, introduced in 2009 by Petrov, extends the infinitely-many-neutral-alleles diffusion model, related to Kingman’s one-parameter Poisson–Dirichlet ...
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Compound Poisson point processes, concentration and oracle inequalities
... compound Poisson point processes ...compound Poisson process, see Wang and Ji [35] and the references ...compound Poisson point process with infinite-dimensional ...
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A Poisson process reparameterisation for Bayesian inference for extremes
... Figure 7: How ˆ m 1 and ˆ m 2 change as a multiple of r with respect to ˆ ξ: ˆ m 1 /r (black), ˆ m 2 /r (red). i = 1, 2 always, while | m ˆ i − m i | < 0.01 for 78% and 88.2% of the time for i = 1, 2 respectively. Both ...
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The Transdimensional Poisson Process for Vehicular Network Analysis
... when Poisson point processes (PPPs) are used to model the vehicle locations on each street, the analysis is barely ...by Poisson line/stick processes; and we prove that the accuracy of the TPPP ...
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Recurrent Poisson Process Unit for Speech Recognition
... discrete point patterns involving acoustic events in the speech ...recurrent Poisson process (RPP) which can be seen as a collection of Poisson processes at a series of time intervals in which ...
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Approximation of A Jump-Diffusion Process
... time process to a jump- diffusion process as the length of sampling interval, h, goes to ...with Poisson Jump component as an example for the ...ARCH process as an approximation of a ...
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A Criterium for the Strict Positivity of the Density of the Law of a Poisson Process
... Markov process with jumps could have a strictly positive ...starting point x to the end point y if the density of the jump process p 1 x, z is strictly positive in x, ...for Poisson ...
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Limit theorems for the fractional non-homogeneous Poisson process
... 7. Summary and outlook Due to the non-homogeneous component of the FNPP, it is not surprising that analytical tractability needed to be compromised in order to derive analogous limit ...
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Distributions of Functionals of the two Parameter Poisson-Dirichlet Process
... also point out that [40] obtain an expression for the cdf of M α,0 (η) by exploiting a suitable inversion formula for characteristic functions and and additionally provide expressions for its posterior ...
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The Conditional Poisson Process and the Erlang and Negative Binomial Distributions
... the process proba- bilistically restarts itself at any point in ...other process, the distribution of the amount of time remaining until the next event occurs in the other process is ...
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