This paper describes how we can use the generalized BaumWelch (GBW) algorithm to develop better extended BaumWelch (EBW) algorithms. Based on GBW, we show that the backoff term in the EBW algorithm comes from KL-divergence which is used as a regularization function. This finding allows us to develop a fast EBW algorithm, which can reduce the time of model space discriminative training by half, ...

In this paper, the theory of hidden Markov models (HMM) is applied to the problem of blind (without training sequences) channel estimation and data detection. Within a HMM framework, the Baum–Welch (BW) identification algorithm is frequently used to find out maximum-likelihood (ML) estimates of the corresponding model. However, such a procedure assumes the model (i.e., the channel response) to ...

We present new algorithms for parameter estimation of HMMs. By adapting a framework used for supervised learning, we construct iterative algorithms that maximize the likelihood of the observations while also attempting to stay “close” to the current estimated parameters. We use a bound on the relative entropy between the two HMMs as a distance measure between them. The result is new iterative t...

Nous cherchons à comprendre pourquoi la propriété (T) de Kazhdan [Kaz67, HV89, BHV08], et plus particulièrement une forme renforcée de celle-ci introduite dans [Laf08], sont un obstacle à une démonstration de la surjectivité de l’application de Baum-Connes à coefficients arbitraires pour des groupes ayant un élément γ de Kasparov, à l’aide des méthodes connues. Nous passons d’abord en revue tro...

in this paper, we generalize some results of chandra and goswami [4] for pairwise negatively dependent random variables (henceforth r.v.’s). furthermore, we give baum and katz’s [1] type results on estimate for the rate of convergence in these laws.

The profile hidden Markov model (PHMM) is widely used to assign the protein sequences to their respective families. A major limitation of a PHMM is the assumption that given states the observations (amino acids) are independent. To overcome this limitation, the dependency between amino acids in a multiple sequence alignment (MSA) which is the representative of a PHMM can be appended to the PHMM...