Purpose – The purpose of this two-part series is to consider the role of the “scientific method” (SM) in human understanding, questioning both its consistency in actual practice and its reasonableness as a system of philosophy and action. Design/methodology/approach – Part 2 considers...

We obtain minimax lower and upper bounds for the expected distortion redundancy of empirically designed vector quantizers. We show that the mean squared distortion of a vector quantizer designed from $n$ i.i.d. data points using any design algorithm is at least $\Omega (n^{-1/2})$ away from the...

Minimax lower bounds for concept learning state, for example, that for each sample size $n$ and learning rule $g_n$, there exists a distribution of the observation $X$ and a concept $C$ to be learnt such that the expected error of $g_n$ is at least a constant times $V/n$, where $V$ is the VC...

This project studied the feasibility of constructing an autonomous vehicle controller based on probabilistic inference and utility maximization. Several theoretical and algorithmic advances were required in order to create an inference system capable of handling vehicle monitoring in a real-time...

In this research, the authors introduce and define a universal incident detection framework that is capable of fulfilling all components of a set of recognized needs. An algorithm is presented that has the potential to fulfill the defined universality requirements. It is a modified form of a...

The classical binary classification problem is investigated when it is known in advance that the posterior probability function (or regression function) belongs to some class of functions. We introduce and analyze a method which effectively exploits this knowledge. The method is based on...

Purpose – The purpose of this paper is to investigate whether Markov mixture of normals (MMN) model is a viable approach to modeling financial returns. Design/methodology/approach – This paper adopts the full Bayesian estimation approach based on the method of Gibbs sampling, and the latent...

Purpose – The purpose of this paper is to investigate whether Markov mixture of normals (MMN) model is a viable approach to modeling financial returns. Design/methodology/approach – This paper adopts the full Bayesian estimation approach based on the method of Gibbs sampling, and the latent...