Ring theory is one of the branches of the abstract algebra that has been broadly used in images. However, ring theory has not been very related with image segmentation. In this paper, we propose a new index of similarity among images using Zn rings and the entropy function. This new index was applied as a new stopping criterion to the Mean Shift Iterative Algorithm with the goal to reach a bett...

We consider a zero-sum stopping game (Dynkin’s game) with a threshold probability criterion in discrete time stochastic processes. We first obtain fundamental characterization of value function of the game and optimal stopping times for both players as the result of the classical Dynkin’s game, but the value function of the game and the optimal stopping time for each player depend upon a thresh...

Patients with systemic reactions (SR) to Hymenoptera stings are successfully treated by venom immunotherapy (VIT), but there is not yet a general agreement on the criteria for stopping VIT. We discuss the importance of the venom-specific IgE levels among these criteria. In particular, the results from a recent study evaluating the IgE changes during a 5-year VIT, in patients stung and protected...

The research reported in this paper describes Fossil, an ILP system that uses a search heuristic based on statistical correlation. Several interesting properties of this heuristic are discussed, and a it is shown how it naturally can be extended with a simple, but powerful stopping criterion that is independent of the number of training examples. Instead, Fossil's stopping criterion depends on ...

In this paper, we address the problem of knowing when to stop the process of active learning. We propose a new statistical learning approach, called minimum expected error strategy, to defining a stopping criterion through estimation of the classifier’s expected error on future unlabeled examples in the active learning process. In experiments on active learning for word sense disambiguation and...

In this reply, we report results on using the Windows binary of the CVM on the checkers and other real-world data sets. Experimental results show that the CVM is much more stable than is reported in (Loosli and Canu, 2007). Moreover, the analysis of CVM’s stopping criterion in (Loosli and Canu, 2007) is based on some connections between the traditional ν-SVM and C-SVM using the 1-norm error. Ho...

This paper outlines a novel iterative decoding technique for a rate K/N convolutional code based on recurrent neural network (RNN) with stopping criterion. The algorithm is introduced by describing the theoretical models of the encoder and decoder. In particular this paper focuses on the investigation of a stopping criterion on the iterating procedure in order to minimize the decoding time yet ...

The classical problem of reachability in simple stochastic games is typically solved by value iteration (VI), which produces a sequence under-approximations the game, but only guaranteed to converge limit. We provide an additional converging over-approximations, based on analysis game graph. Together, these two sequences entail first error bound and hence stopping criterion for VI games, indica...