When solving linear stochastic differential equations numerically, usually a high order spatial discretisation is used. Balanced truncation (BT) and singular perturbation approximation (SPA) are well-known projection techniques in the deterministic framework which reduce the order of a control system and hence reduce computational complexity. This work considers both methods when the control is...

Kernel density estimators are the basic tools for density estimation in non-parametric statistics.  The k-nearest neighbor kernel estimators represent a special form of kernel density estimators, in  which  the  bandwidth  is varied depending on the location of the sample points. In this paper‎, we  initially introduce the k-nearest neighbor kernel density estimator in the random left-truncatio...

We propose a new framework to design controllers for high-dimensional nonlinear systems. The control is designed through the iterative linear quadratic regulator (ILQR), an algorithm that computes by iteratively applying on local linearization of system at each time step. Since ILQR computationally expensive, we first construct reduced-order models (ROMs) system. derive ROMs via projection, whe...

Şahin Kaya Özdemir, Adam Miranowicz, Masato Koashi, and Nobuyuki Imoto (a) CREST Research Team for Interacting Carrier Electronics, The Graduate University for Advanced Studies (SOKEN-DAI), Hayama, Kanagawa 240-0193, Japan (b) Nonlinear Optics Division, Institute of Physics, Adam Mickiewicz University, 61-614 Poznań, Poland (c) NTT Basic Research Laboratories, 3-1 Morinosato Wakamiya, Atsugi, K...

A voting rule that permits some voters to favor a candidate by revealing only the initial segment of their sincere rankings is said be vulnerable truncation paradox. In this paper, we consider four models for counting truncated ballots, optimistic, pessimistic (the most common), averaged, and round-down. Under impartial anonymous culture assumption, choice model generally has real impact on tru...

BACKGROUND In computed tomography (CT), the source-detector system commonly rotates around the object in a circular trajectory. Such a trajectory does not allow to exploit a detector fully when scanning elongated objects. OBJECTIVE Increase the spatial resolution of the reconstructed image by optimal zooming during scanning. METHODS A new approach is proposed, in which the full width of the...

In this paper we will present work carried out lately on the 50,000 words Italian Spontaneous Speech Corpus called AVIP, under national project API, made available for free download from the website of the coordinator, the University of Naples. We will concentrate on the tuning of the parser for Italian which had been previously used to parse 100,000 words corpus of written Italian within the N...

UNLABELLED The use of convergent-beam SPECT can increase detection sensitivity; however, the projection data are likely to be truncated if the patient is not properly positioned. This article describes a patient-positioning method that has been adopted in our hospital for cardiac SPECT scans when convergent-beam collimators are used. METHODS The system that we use has 3 detector heads and a p...