Hybrid HMM/MLP models are useful to model piecewise stationary non-linear time series. A popular way to estimate the parameters of such models is to use the E.M. algorithm thanks to the Baum and Welch, forward-backward, algorithm. In this paper, we study a convenient way to estimate the parameters thanks to differential optimization. This new method can dramatically improve the time of calculus...

When making decisions, we are often forced to choose between something safe we have chosen before, and something unknown to us that is inherently risky, but may provide a better long-term outcome. This problem is known as the Exploitation-Exploration (EE) Trade-Off. Most previous studies on the EE Trade-Off have relied on response data, leading to some ambiguity over whether uncertainty leads t...

Abstract. To derive a Baum-Katz type result, a Chover-type law of the iterated logarithm is established for weighted sums of negatively associated (NA) and identically distributed random variables with a distribution in the domain of a stable law in this paper.

A. M. Michael, S. A. Baum, V. P. Clark, R. Jung, K. O. Lim, T. White, B. C. Ho, R. L. Gollub, and V. D. Calhoun MIND Research Network, Albuquerque, NM, United States, Center for Imaging Science, Rochester Institute of Technology, Rochester, NY, United States, University of Minnesota, Minneapolis, MN, United States, University of Iowa, Iowa City, IA, United States, Psychiatry and Radiology, Mass...

We develop a general framework to describe dualities from algebraic, differential, and noncommutative geometry, as well as physics. We pursue a relationship between the Baum-Connes conjecture in operator K-theory and derived equivalence statements in algebraic geometry and physics. We associate to certain data, reminiscent of spectral triple data, a differential graded category in such a way th...

MOTIVATION The Expectation Maximization (EM) algorithm, in the form of the Baum-Welch algorithm (for hidden Markov models) or the Inside-Outside algorithm (for stochastic context-free grammars), is a powerful way to estimate the parameters of stochastic grammars for biological sequence analysis. To use this algorithm for multiple-sequence evolutionary modelling, it would be useful to apply the ...

We introduce a new spectral sequence called the p-chain spectral sequence which converges to the (co-)homology of a contravariant C-space with coefficients in a covariant C-spectrum for a small category C. It is different from the corresponding Atiyah-Hirzebruch type spectral sequence. It can be used in combination with the Isomorphism Conjectures of Baum-Connes and Farrell-Jones to compute alg...

In this talk I describe the resolution to unique isotropy type of the smooth action of a compact Lie group as contained in joint work with Pierre Albin, [2], [3]. The resulting ‘resolution tower’ leads to resolved and reduced models for equivariant cohomology, including the delocalized cohomology of Baum, Brylinski and MacPherson, and K-theory. Combining these constructions with a lifting map g...

Note: The background and methods related to this project and a comparison of all Australian jurisdictions, along with a short summary for Western Australia, are contained in the following journal article: Newman L, F Baum & E Harris (2006), ‘Federal, State and Territory government responses to health inequities and the social determinants of health in Australia’, Health Promotion Journal of Aus...

C. OGLE Department of Mathematics, Ohio State University, Columbus, 0H43210, U.S.A. (Received: March 1992) Abstraet. Following Connes and Moscovici, we show that the Baum-Connes assembly map for K,(C~*n) is rationally injective when n is word-hyperbolic, implying the Equivariant Novikov conjecture for such groups. Using this result in topological K-theory and BoreI-Karoubi regulators, we also s...