In this paper we introduce and study the notion of safety control of stochastic discrete event systems (DESs), modeled as controlled Markov chains. For non-stochastic DESs, modeled by state machines or automata, safety is specified as a set of forbidden states, or equivalently by a binary valued vector that imposes an upper bound on the set of states permitted to be visited. We generalize this ...

In this paper, we propose a new technique to update a probability vector [1] for Estimation of Distribution Algorithms (EDA)[15]. We present a novel algorithm belonging to the general class of EDA which we call Distribution Estimation using Markov Random Fields (DEUM). In common with other EDAs, DEUM uses a population of chromosomes to build a probabilistic model of good solutions. The model is...

This paper proposes a novel optimization algorithm combined the mechanism of quantum evolutionary algorithm and real-coding method, called an improved quantum particle swarm optimization algorithm (IQPSO). Like the traditional particle swarm optimization, IQPSO is also characterized by position vector and velocity vector to implement the evolution process. However, the particle of IQPSO is divi...

Compressed Sensing seeks to capture a discrete signal x ∈ IR with a small number n of linear measurements. The information captured about x from such measurements is given by the vector y = Φx ∈ IR where Φ is an n × N matrix. The best matrices, from the viewpoint of capturing sparse or compressible signals, are generated by random processes, e.g. their entries are given by i.i.d. Bernoulli or G...

Predication-based Semantic Indexing (PSI) is an approach to generating high-dimensional vector representations of concept-relation-concept triplets. In this paper, we develop a variant of PSI that accommodates estimation of the probability of encountering a particular predication (such as fluoxetine TREATS major depressive disorder) in a collection of predications concerning a concept of intere...

In this chapter, a Particle Swarm Optimization-Based Session Key Generation for wireless communication (PSOSKG) is proposed. This cryptographic technique is solely based on the behavior of the particle swarm. Here, particle and velocity vector are formed for generation of keystream by setting up the maximum dimension of each particle and velocity vector. Each particle position and probability v...

This article proves an exponential probability tail inequality for positive semidefinite quadratic forms in a subgaussian random vector. The bound is analogous to one that holds when the vector has independent Gaussian entries.

This note contains two types of functional equations characterizing the conditional probability measures as subclasses of vector measures on general Banach function spaces. One uses the theory of vector integration and the other employs a form of the Sidak identity.