Bayesian networks are parametric models for multidimensional domains exhibiting complex dependencies between the dimensions (domain variables). A central problem in learning such models is how to regularize the number of parameters; in other words, how to determine which dependencies are significant and which are not. The normalized maximum likelihood (NML) distribution or code offers an inform...

The cohort and world models are commonly used for scoring normalization in speaker verification. As these models represent different regions of the feature space, a better solution could be obtained by integrating them into a single framework. In this paper, we embed the two models in elliptical basis function networks and propose a two-stage decision procedure for improving verification perfor...

Solution concepts from cooperative game theory, such as the Shapley value or the Banzhaf index, have recently been advocated as interesting extensions of standard measures of node centrality in networks. While this direction of research is promising, the computation of game-theoretic centrality can be challenging. In an attempt to address the computational issues of game-theoretic network centr...

The Gaussian chord Minkowski problem is studied in this paper, which starts from the view of nonlocal functionals, and we obtain an $ o $-symmetric normalized solution. To result, use variational method to solve problem.

The minimal area covered by the image of the unit disk is found for nonvanishing univalent functions normalized by the conditions f(0) = 1, f ′(0) = α. Two different approaches are discussed, each of which contributes to the complete solution of the problem. The first approach reduces the problem, via symmetrization, to the class of typically real functions, where the well-known integral repres...

Turbo-Hauser bases are very useful and highly reactive organometallic reagents in synthesis. Especially TMPMgCl⋅LiCl 1 (TMP=2,2,6,6-tetramethylpiperidide) is an excellent base for converting a wide range of (hetero)aromatic substrates into highly functionalized compounds with a broad application in organic synthesis. The knowledge of its structure in solution is of essential importance to under...

Training: intractable likelihood likelihood needed for MCMC; grid MRF intractable due to global normalization. Solution: pseudo-likelihood approximation, locally normalized: p(y|f) = ∏P p=1 p(yp|yp+1 . . . yP , f) ≈ ∏P p=1 p(yp|neighbours(p), f) Prediction: intractable marginals Pixel-wise MAP intractable in grid MRF. Solution: Obtain approximate marginals using treereweighted belief propagatio...

The production of /l/ is examined for preand post-operative patients who have undergone surgery in three distinct areas (anterior, posterior or lateral tongue) followed by radiotherapy and reconstruction. Results show F1 and F2 to be raised after surgery in all cases. Normalised measures of tongue height (F1-F0) and extension (F2-F1) revealed no significant change after surgery to the side of t...