High dimension, low sample size data are emerging in various areas of science. We find a common structure underlying many such data sets by using a non-standard type of asymptotics: the dimension tends to ∞ while the sample size is fixed. Our analysis shows a tendency for the data to lie deterministically at the vertices of a regular simplex. Essentially all the randomness in the data appears only as a random rotation of this simplex. This geometric representation is used to obtain several new statistical insights. Copyright 2005 Royal Statistical Society.

Geometric representation of high dimension, low sample size data

This paper presents a review of mobile collaborative language learning studies published in 2012–16 with the aim to improve understanding of how mobile technologies have been used to support collab ...

/pdf/mobile-collaborative-language-learning-state-of-the-art-4l2yk0dooh.pdf

Mobile Collaborative Language Learning: State of the Art.

In the era of big data, we are facing with an immense volume and high velocity of data with complex structures. Data can be produced by online and offline transactions, social networks, sensors and through our daily life activities. A proper processing of big data can result in informative, intelligent and relevant decision making completed in various areas, such as medical and healthcare, business, management and government. To handle big data more efficiently, new research paradigm has been engaged but the ways of thinking about big data call for further long-term innovative pursuits. Fuzzy sets have been employed for big data processing due to their abilities to represent and quantify aspects of uncertainty. Several innovative approaches within the framework of Granular Computing have been proposed. To summarize the current contributions and present an outlook of further developments, this overview addresses three aspects: (1) We review the recent studies from two distinct views. The first point of view focuses on what types of fuzzy set techniques have been adopted. It identifies clear trends as to the usage of fuzzy sets in big data processing. Another viewpoint focuses on the explanation of the benefits of fuzzy sets in big data problems. We analyze when and why fuzzy sets work in these problems. (2) We present a critical review of the existing problems and discuss the current challenges of big data, which could be potentially and partially solved in the framework of fuzzy sets. (3) Based on some principles, we infer the possible trends of using fuzzy sets in big data processing. We stress that some more sophisticated augmentations of fuzzy sets and their integrations with other tools could offer a novel promising processing environment.

An overview on the roles of fuzzy set techniques in big data processing: Trends, challenges and opportunities

An Overview on the Roles of Fuzzy Set Techniques in Big Data Processing: Trends, Challenges and Opportunities

Profound changes in the literacy practices of young people in the early part of this century mean that many are encountering and using English in their personal lives while studying the lan...

/pdf/the-impact-of-online-use-of-english-on-motivation-to-learn-4xeciq39yl.pdf

The impact of online use of English on motivation to learn

This research is designed to explore the areas of collaborative learning and the use of smartphones as a support for collaborative learning through a year-long exploratory multiple case study approach integrating both qualitative and quantitative data analysis Qualitative exploratory interviews are combined with Multidimensional Scaling Analysis to provide a detailed image of students' mobile use during collaborative activities The Multidimensional Scaling MDS reliability is supported by a second resampling that produced similar results independent of time of subjects The results are triangulated across the qualitative and quantitative data and key issues are interpreted and discussed The results indicate that the introduction of mobile access collaborative homework to a second language English class in Japan does have observable effects on students, including changes in use of space, time and method for mobile collaborative homework

The Effects of Mobile Collaborative Activities in a Second Language Course

When considering the freedom of communication in terms of time and space that mobile technology provides, educators need to understand how this ever present communications platform can be exploited to enhance collaborative learning. This research is designed to explore the areas of collaborative learning and the use of mobile phones as a support for collaborative learning through a year-long exploratory multiple case study approach integrating both qualitative and quantitative data analysis. Qualitative exploratory interviews are combined with Multidimensional Scaling Analysis to provide a detailed image of students’ mobile use during collaborative activities. The results are triangulated across data sources, and key issues are interpreted and discussed.

The Relationship between Students, Mobile Phones and Their Homework

Fuzzy Dissimilarity based Multidimensional Scaling and its Application to Collaborative Learning Data

The dramatic impact of Information and Communications Technology (ICT) on society suggests the potential for an analogous effect on education. The prospects for some benefit from the affordances offered by ICT are appealing but not entirely understood by many educators. The challenges of design, implementation, assessment, and analysis of ICT supported education are considerable. These challenges include how ICT can support traditional learning approaches, add new educational opportunities, and reduce resistance to introducing disruptive technologies such as smartphones. The affordances of ICT in education open many possibilities to integrate with and support existing curriculums. However, many educational institutions have not fully embraced these opportunities. This paper will explore some barriers to ICT adoption in the educational context. The first section is a brief introduction followed by a section on the history of educational theory to illustrate the considerable body of knowledge available on this topic. The third section introduces a type of case study of the challenges faced by a nation in providing the infrastructure needed to implement many of these technologies. Section four gives a summary of many, but not all, barriers to technology adoption faced by educational administrators, instructional designers, educators, and learners. And the final section is a brief conclusion.

/pdf/the-challenge-of-information-and-communications-technology-1mnin63lge.pdf

Peter Ilic

Papers

The Effects of Mobile Collaborative Activities in a Second Language Course

The Relationship between Students, Mobile Phones and Their Homework

Fuzzy Dissimilarity based Multidimensional Scaling and its Application to Collaborative Learning Data

The Challenge of Information and Communications Technology in Education

Visualization of Fuzzy Clustering Result in Metric Space