Thus, a mixture of density- and clustering-based approaches, in this paper, is referred to as connectivity-based approach.
then the marginal density p(x k |z1 k) can be approximately expressed by a mixture of densities: p ( x k | z 1 : k ) ≈ ∑ j = 1 N w k j p ( x k | s k j, θ j, z 1 : k ).
The SNE model can be extended for multiple projections of a single object by using a mixture of densities, which produces a probabilistic density in the mapping space: q i j = ∑ b π i b ∑ c π j c exp (− | | y i b − y j c | | 2 ) ∑ k ∑ d π k d exp (− | | y i b − y k d | | 2 ).
In an attempt to understand the events shaping the distribution of gene duplications in the apple, the fit of the distribution was evaluated to a mixture of densities involving an exponential distribution representing the continuous mode of small-scale duplications and several normal distributions representing putative large-scale duplication events.
The volume fraction ϕ of solids within a pulse made of a mixture of gas (density ρ g ) and tephra (density ρ t ) is given by phi =frac{rho_{mathrm{pulse}}-{rho}_g}{rho_t-{rho}_g} (6).
Our results are based on statistical methodologies designed to separate the natural and anthropogenic contributions in monitored concentrations by modeling the empirical distribution of the detected concentration with a mixture of probability density functions.
The BMO-G density function can be expressed as a mixture of exponentiated density functions.
In this state, water is a mixture of low density ice and water molecules that are on the verge of becoming ice, what chemists call "four co-ordinated" meaning that each molecule is linked to four others.
The multiple importance sampling (MIS) estimator [1, 2], and in particular balance heuristic, which is equivalent to the Monte Carlo estimator with a mixture of probability density functions (pdfs), has been used for many years with a big success, being a reliable and robust estimator that allows an easy and straightforward combination of different sampling techniques.
Its density function can be expressed as a mixture of exponentiated densities based on the same baseline distribution.
The new density function can be expressed as a mixture of exponentiated densities based on the same baseline distribution.
