A first idea of the order of magnitude of FQ(x), x→0, is found by the following inequalities. With the range R of the random sample X1,…,Xn we get

For a sample of absolutely bounded i.i.d. random variables with a continuous density the cumulative distribution function of the sample variance is r…

A few years after the fiftieth anniversary of Quicksort, we are able to present numerical results for the probability of bad cases for the algorithm. By means of simulations, such probabilities can be determined only for small numbers of elements. S…

We present numerical results for the probability of bad cases for Quicksort, i.e. cases of input data for which the sorting cost considerably exceeds…

Commercially available business process management systems (BPMS) still suffer to support organizations to enact their business processes in an effec…

In this paper we consider input-to-state stability (ISS) of impulsive control systems with and without time-delays. We prove that if the time-delay s…

Probabilistic programming allows specification of probabilistic models in a declarative manner. Recently, several new software systems and languages …

The goal of machine learning is to provide solutions which are trained by data or by experience coming from the environment. Many training algorithms…

In this article we consider the iterative schemes to compute the canonical (CP) approximation of quantized data generated by a function discretized o…

The simulation of radio frequency (RF) circuits is one of the severest problems in Design Automation: the information signal or envelope is modulated…

We presented generalized dilation neural networks, a NN architecture based on CNNs augmented with dilated filters. We provided extensions to this framework in two ways. First we make the fixed dilation filters learnable by introducing an alternative…

Vanilla convolutional neural networks are known to provide superior performance not only in image recognition tasks but also in natural language proc…

In Industry 4.0, Cyber-Physical Systems (CPS) are formed by components, which are interconnected with each other over the Internet of Things (IoT). T…

Big data has become a great asset for many organizations, promising improved operations and new business opportunities. However, big data has increas…

The paper proposes a framework for the construction of solutions to a hybrid dynamical system that exhibit Zeno behavior. A new approach that enables…

Microservices are used to build complex applications composed of small, independent and highly decoupled processes. Recently, microservices are often…

In this paper a data mining approach for variable selection and knowledge extraction from datasets is presented. The approach is based on unguided sy…

The increasing number of robots in home environments leads to an emerging coexistence between humans and robots. Robots undertake common tasks and su…

We prove that impulsive systems, which possess an ISS Lyapunov function, are ISS for time sequences satisfying the fixed dwell-time condition. If an …

Handheld Augmented Reality commonly implements some variant of magic lens rendering, which turns only a fraction of the user's real environment into …

Depression is ranked as the largest contributor to global disability and is also a major reason for suicide. Still, many individuals suffering from f…

In this paper we have proved two Lyapunov-type sufficient conditions, which ensure ISS of an impulsive system. The first theorem states that existence of an ISS-Lyapunov function implies ISS of an impulsive system for the impulse time sequences whic…

We prove that impulsive systems, which possess an ISS Lyapunov function, are ISS for impulse time sequences, which satisfy the fixed dwell-time condi…

We propose the introduction of nonlinear operation into the feature generation process in convolutional neural networks. This nonlinearity can be imp…

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