In this paper, we verify the $L^p$ coarse Baum–Connes conjecture for spaces with finite asymptotic dimension $p\in\[1,\infty)$. We also show that $K$-theory of Roe algebras is independent $p\in(1,\infty)$ dimension.

We study complete convergence and closely related Hsu–Robbins–Erdős-Spitzer–Baum–Katz series for sums whose terms are elements of linear autoregression sequences. obtain criteria these expressed in moment assumptions, which “weakly dependent” sequences the same as classical results concerning independent case.

The use of segment-based features and segmentation networks in a segment-based speech recognizer complicates the probabilistic modeling because it alters the sample space of all possible segmentation paths and the feature observation space. This paper describes a novel Baum-Welch training algorithm for segment-based speech recognition which addresses these issues by an innovative use of finite-...

In this work, we describe a theoretical model that predicts the existence of three patterns of subjects’ behavior in an experimental chamber with concurrent schedules of reinforcements. Two of these patterns were found earlier by Baum (2002). The model is based on the assumption that an organism is a system with internality and that the alternatives are polarized for the subject: one of them pl...

How and when do multiunit chains affect the capabilities of their component units? Chains are collections of component units that produce similar goods and services, linked together into larger ‘superorganizations’ (Ingram & Baum 1997). This study explores how the level and similarity of capabilities of chains and their components – both existing and newly acquired – affects transfer learning a...

Topological maps provide a useful abstraction for robotic navigation and planning. Although stochastic maps can theoretically be learned using the Baum-Welch algorithm, without strong prior constraint on the structure of the model it is slow to converge, requires a great deal of data, and is often stuck in local minima. In this paper, we consider a special case of hidden Markov models for robot...

The scattered fields of a number of targets in free space are measured. Their complex natural resonances are extracted from the late time responses, using the generalized pencil-of-function method. The complex natural resonances, as the targets are immersed in a lossy medium, are investigated using Baum’s transform. The results of the complex natural resonances for various targets are expected ...

ABSTRACT: In this paper, the complete convergence and the complete moment convergence of weighted sums for an array of negatively superadditive dependent random variables are established. The results generalize the Baum-Katz theorem on negatively superadditive dependent random variables. In particular, the Marcinkiewicz-Zygmund type strong law of large numbers of weights sums for sequences of n...