In this paper we propose the use of a lattice based second order infinite impulse response (IIR) notch filter with a simplified adaptation algorithm for removal of power line frequency from ECG signals. The performance of this filter is better as compared to a second order infinite impulse response (IIR) notch filter for a real time ECG recording systems where the frequency of line varies over ...

In this paper we present a pole estimation algorithm which is based on an overdetermined adaptive IIR lter with an additional postprocessing stage to extract the pole locations from the adaptive weights. The adaptive ltering algorithm used, is a pseudo-linear regression algorithm which is solved by a time-recursive QR decomposition. Two pole classi cation schemes are presented to separate the t...

We show that the moving average process Xf (t) := ∫ t 0 f(t − s) dZ(s) t ∈ [0, T ] has a bounded version almost surely, when the kernel f has finite total 2– variation and Z is a symmetric Lévy process. We also obtain bounds for E| supt∈[0,T ] Xf (t)| and for uniform moduli of continuity of Xf ( · ) and for the largest jump of Xf ( · ) when it is not continuous. Similar results are obtained for...

In this paper, we construct the new class of tempered infinitely divisible (TID) distributions. Taking into account the tempered stable distribution class, as introduced by in the seminal work of Rosińsky [10], a modification of the tempering function allows one to obtain suitable properties. In particular, TID distributions may have exponential moments of any order and conserve all proper prop...

Preferences of users on movies are observables of various factors that are related with user attributes and movie features. For movie recommendation, analysis methods for relation among users, movies, and preference patterns are mandatory. As a relational analysis tool, we focus on the Infinite Relational Model (IRM) which was introduced as a tool for multiple concept search. We show that IRM-b...

the protonation of different species of glycylisoleucine were studied in the ph range of 1.5 - 10 at25 °c using potentiometric technique. investigations were performed in sodium perchlorate andtetraethylammonium iodide as background electrolytes at i (0.1, 0.2, 0.3, 0.4, 0.5, and 0.6) moldm-3. the parameters based on the protonation constants were calculated, and their dependenceson ionic stren...

We show that it is possible to extend hidden Markov models to have a countably infinite number of hidden states. By using the theory of Dirichlet processes we can implicitly integrate out the infinitely many transition parameters, leaving only three hyperparameters which can be learned from data. These three hyperparameters define a hierarchical Dirichlet process capable of capturing a rich set...

We present the Infinite Latent Events Model, a nonparametric hierarchical Bayesian distribution over infinite dimensional Dynamic Bayesian Networks with binary state representations and noisy-OR-like transitions. The distribution can be used to learn structure in discrete timeseries data by simultaneously inferring a set of latent events, which events fired at each timestep, and how those event...

We introduce infinite time computable model theory, the computable model theory arising with infinite time Turing machines, which provide infinitary notions of computability for structures built on the reals R. Much of the finite time theory generalizes to the infinite time context, but several fundamental questions, including the infinite time computable analogue of the Completeness Theorem, t...

In a Bayesian mixture model it is not necessary a priori to limit the number of components to be finite. In this paper an infinite Gaussian mixture model is presented which neatly sidesteps the difficult problem of finding the “right” number of mixture components. Inference in the model is done using an efficient parameter-free Markov Chain that relies entirely on Gibbs sampling.