Let $$H$$ be a Hilbert space. We investigate the properties of weak limit points iterates random projections onto $$K\geq 2$$ closed convex sets in and parallel residuals greedy approximation with respect to $$K$$ dictionaries. In case these imply convergence all cases known so far. particular, we give short proof theorem Amemiya Ando on when are subspaces. The question general remains open.

An iterative definition of any n variable mean function is given in this article, which iteratively uses the two-variable form of the corresponding two-variable mean function. This extension method omits recursivity which is an important improvement compared with certain recursive formulas given before by Ando-Li-Mathias, PetzTemesi. Furthermore it is conjectured here that this iterative algori...

The problem of evaluating the goodness of the predictive distributions developed by the Bayesian model averaging approach is investigated. Considering the maximization of the posterior mean of the expected log-likelihood of the predictive distributions (Ando (2007a)), we develop the Bayesian predictive information criterion (BPIC). According to the numerical examples, we show that the posterior...

In recent years there has been substantial interest in high-dimensional estimation and prediction problems on large graphs. These can in many cases be seen as high-dimensional or nonparametric regression or classification problems in which the goal is to learn a “smooth” function on a given graph. Various methods have been proposed to deal with such problems, motivated by a variety of applicati...

Original scientific paper This article deals with simulations of gathering problems using NXT robots. These robots are real mobile robots and gather synchronously, with no global navigation and communication and only limited visibility. In the first part I want to demonstrate that by increasing the capabilities of those robots that have poor communication and navigation abilities, they can be m...

The Nankai Trough marks the location where the Philippine Sea Plate begins subducting beneath the Eurasian Plate. The Nankai Trough subduction system has played an important role in causing many catastrophic earthquakes, a phenomenon observed at many other subduction zones (Ando, 1975). Recent studies have established that fluids play a major role in the physical and chemical evolution of subdu...