Sentence examples for space of probability from inspiring English sources

The mixture of Dirichlet process (MDP) defines a flexible prior distribution on the space of probability measures.

We apply our results to order-preserving nonlinear Markov operators on the space of probability distribution functions on ℝ.

IG is the study of manifolds in the parameter space of probability distributions, using the tools of differential geometry [5].

Let be a Polish space with its Borel -lgebra, and let be the space of probability measures on.

We study analogs of value functions arising in classical mechanics in the space of probability measures endowed with the Wasserstein metric Wp, for 1<p<∞.

These equations, arising from a related class of probabilistic variational problems, are defined on the space of probability measures on Rd.

This requires to use the space of probabilities (varrho ) on a given domain, and to endow it with a non-linear metric structure, derived from the theory of optimal transport.

Even if we insisted on the fact that the most natural approach to gradient flows in (mathbb W_2) relies on the notion of weak solutions to some PDEs and not on the EDE/EVI formulations, surely it could be interesting to check whether the general theory of Sect. 3 could be applied to some model functionals on the space of probabilities, such as (mathcal {F}), (mathcal {V}) or (mathcal {W}).

In order to explore all possible patterns of state-dependent choice probabilities smoothly, we assume that an arbitrary pattern of {pas} and an arbitrary direction of infinitesimal changes {dpas} allowed in the space of probabilities can be expressed by some pattern of w and some direction of infinitesimal changes dw, respectively (see Methods).

This innovative approach can effectively avoid the traditional method utilizing the possible world model and excludes most of subgraphs which are not probability isomorphism and reduces the search space of the probability isomorphism subgraphs by the mismatch value of node voltage set.

Throughout this paper, the space of all probability distribution functions is denoted by (2.1).