We consider the problem of counting transitive factorizations of permutations; that is, we study tuples (σr , . . . , σ1) of permutations on {1, . . . , n} such that (1) the product σr · · · σ1 is equal to a given target permutation π , and (2) the group generated by the factors σi acts transitively on {1, . . . , n}. This problem is widely known as the Hurwitz Enumeration Problem, since an enc...

South Africa is the world’s third most biodiverse country. The system of protected areas, however, does not capture its biodiversity comprehensively. Local land-use planning processes, and the integration of spatial conservation assessments in these processes, have been proposed as an effective approach to conserving biodiversity outside of protected areas. However, an understanding of the day-...

We present and discuss philosophy and methodology of chaotic evolution that is theoretically supported by chaos theory. We introduce four chaotic systems, that is, logistic map, tent map, Gaussian map, and Hénon map, in a well-designed chaotic evolution algorithm framework to implement several chaotic evolution (CE) algorithms. By comparing our previous proposed CE algorithm with logistic map a...

In this paper we propose a method for analyzing and visualizing individual maps between shapes, or collections of such maps. Our method is based on isolating and highlighting areas where the maps induce significant distortion of a given measure in a multi-scale way. Unlike the majority of prior work which focuses on discovering maps in the context of shape matching, our main focus is on evaluat...

This work proposes a robust visual odometry method for structured environments that combines point features with line and plane segments, extracted through an RGB-D camera. Noisy depth maps are processed by a probabilistic depth fusion framework based on Mixtures of Gaussians to denoise and derive the depth uncertainty, which is then propagated throughout the visual odometry pipeline. Probabili...

We present a method for reconstructing images viewed by observers based only on their eye movements. By exploring the relationships between gaze patterns and image stimuli, the “What Are You Looking At?” (WAYLA) system learns to synthesize photo-realistic images that are similar to the original pictures being viewed. The WAYLA approach is based on the Conditional Generative Adversarial Network ...

Case-based information systems can be seen as lazy machine learning algorithms; they select a number of training instances and then classify unseen cases as the most similar stored instance. One of the main disadvantages of these systems is the high number of patterns retained. In this paper, a new method for extracting just a small set of paradigms from a set of training examples is presented....

Classroom concept mapping presents teachers with the problem of how to arrange that learners get feedback on the quality of their concept maps. To address this problem, a software analyser (named the RFA) has been developed that generates scores and hints for student maps by comparing them to an expert map. The analyser is fallible: many of its assessments will be initially incorrect. But it is...

Map morphing is an interactive visualization technique that provides a user-controlled, animated translation from one map to another. Traditionally, overlay mechanisms are used to present layers of information over a single projection. Map morphing provides a way to relate maps with significant spatial and schematic differences. This paper presents the morphing technique and the results of a co...