Since the perceptron was invented in 1957 by Rosenblatt, a large number of variants of the perceptron algorithm have been proposed. For this project, the main task was to find perceptron variants that worked well on the two different types of data sets, OCR and Netflix. Two variants, voted perceptron and longest survivor perceptron, were examined. Both variants were tested with several combinat...

A procedure for solving exact maximum likelihood estimation (MLE) is proposed for non-invertible non-Gaussian MA processes. By augmenting certain latent variables, the exact likelihood of all relevant innovations can be expressed explicitly according to a set of recursions (Breidt and Hsu, 2005). Then, the exact MLE is solved numerically by EM algorithm. Two alternative estimators are proposed ...

Using multiple Wiener-Itô stochastic integrals and Malliavin calculus we study the rescaled quadratic variations of a general Hermite process of order q with long-memory (Hurst) parameter H 2 ( 1 2 ; 1). We apply our results to the construction of a strongly consistent estimator for H. It is shown that the estimator is asymptotically non-normal, and converges in the mean-square, after normaliza...

We consider a multi-class pattern recognition problem with linearly ordered labels and a loss function, which measures absolute deviations of decisions from true classes. In the bayesian setting the optimal decision rule is shown to be the median of a posteriori class probabilities. Then, we propose three approaches to constructing an empirical decision rule, based on a learning sequence. Our s...

This special issue consists of eight papers drawn from presentations at the Eleventh International Symposium on Experimental Robotics (ISER08). ISER is a series of biennial symposia whose goal is to provide the robotics community with a forum for research driven by creative ideas, bold visions, new systems, and novel applications of robotics, emphasizing experimental work. The tradition in ISER...

This work focuses on a quadratic dependence measure which can be used for blind source separation. After defining it, we show some links with other quadratic dependence measures used by Feuerverger and Rosenblatt. We develop a practical way for computing this measure, which leads us to a new solution for blind source separation in the case of nonlinear mixtures. It consists in first estimating ...

This paper considers the asymptotic distributions of the error density estimators in first-order autoregressive models. At a fixed point, the distribution of the error density estimator is shown to be normal. Globally, the asymptotic distribution of the maximum of a suitably normalized deviation of the density estimator from the expectation of the kernel error density (based on the true error) ...

The Institute for Social and Economic Research (ISER) specialises in the production and analysis of longitudinal data. ISER incorporates the following centres: • ESRC Research Centre on Micro-social Change. Established in 1989 to identify, explain, model and forecast social change in Britain at the individual and household level, the Centre specialises in research using longitudinal data. • ESR...

The rate of convergence for an almost surely convergent series of Banach space valued random elements is studied in this paper. As special cases of the main result, known results are obtained for a sequence of independent random elements in a Rademacher type p Banach space, and new results are obtained for a martingale difference sequence of random elements in a martingale type p Banach space a...