Information and communication technologies in mathematics education (New)

Digital technologies are increasingly present in school, in various forms (specialized software, ipad, online work, reverse class ....). In this project, we will focus on the influence of these technologies on mathematics learning. Research can take many forms depending on the interests of the student:experimentation in the classroom of a particular technology,surveys of teachers and / or students, study of programms and textbooks, analysis of online resources ...

Competences and curricula (New)

Around the world, education systems are changing and being reorganized around the concept of competence. This term is so used by authors, in different contexts, that it becomes difficult to know exactly what it means. The purpose of this project will be to analyse definitions and uses of the word in both education and social sciences in order to identify the different uses and different scopes. Depending on the student skills, we can consider using text analysis with technological tools

Mathematical Models of cell invasion types emerging from phenotypic and environmental heterogene

The building blocks of multicellular organisms such as humans are cells, vessels and protein fibers. Cell migrations are instrumental in the development and maintenance of multicellular organisms (such as wound healing). Aberrant cellular migrations are important in many
pathological conditions, for instance in cancer. The majority of cancer related deaths (80-90%) are caused by spread of cancer cells to distant organs. This is called metastasis.

Dimensionality, performance, and stress testing of multifactor equity models

A global multi-factor equity model had been previously developed. It employs a group of sector indices for different regions using Dow Jones, MSCI, and indices of local stock exchanges. PCA is used to produce independent factor variables, and then specific equities are regressed against the PCA factors. By transforming factors back into real world variables (indices) stress tests against movements in the original indices show their impact in a global equity portfolio. One question to be addressed is how many PCA dimensions should be selected for each equity.

Mathematics Mapping project

To support the development of a developers' toolkit for educational digital applications that use mathematics content, Erudite Science is creating a library of mathematics content and functions. Because mathematics is such a vast field, typical application functions such as search, manipulation, and inference, frequently return irrelevant results. The search process can be facilitated through the use of semantically structured resource stores.

Modelling default probabilities in a credit risk portfolio

Although latent variable models are a well-known tool for evaluating a portfolio credit risk, concerns are raised regarding tractability of a subsequent analysis/simulation. The project attempts to address such concerns by incorporating a special class of Bernoulli mixture models. Then, efforts will be made to compare efficiency of these models with the commonly used latent variable counterparts and the benchmark model suggested by the regulator.

Design and secure implementation of a new white-box transform based on permutation polynomials

Irdeto has a need to create software that is protected in the white-box attack context, which means that attackers have direct access to the software, can execute it, modify it, and stop it to read the data being processed by the software. If attackers are able to modify software in ways that are useful to them, they can cause a wide range of problems including stealing data, gaining unauthorized access to systems, and stealing cryptographic keys.

Advancing Retail Analytics

The proposed research will develop enhanced clustering and segmentation algorithms of high dimensional data. Cozumo Technologies, a world leader in the real-time capture and transmission of point-of-sale customer data, will use the research to improve their existing models of customer segmentation and offer generation. It is clear that real-time handling of big data represents a very large business opportunity that is being actively pursued by
many countries around the world. Leadership in Canada in this sector will have obvious economic benefits to the country.

Statistical Analysis of Prostate Brachytherapy Treatment Data

This project is a continuation of a previous internship that made use of longitudinal data on patients with prostate cancer obtained over a period of fifteen to seventeen years to initiate a long-term comparison of external-beam radiation therapy and brachytherapy treatments. The key objective is to demonstrate that Brachytherapy treatments offer the best outcomes at the lowest cost in comparison to other treatment modalities. Much work has been completed; however a great deal more still remains.

A statistical analysis of customer satisfaction prediction and call volume forecasting

Large businesses can incur enormous costs in servicing customers through call centres. Depending on the size of a company, the volumes of calls can be in thousands of calls per hour. Intern Thomas Bennett will work with Adroit Vista and his academic supervisors to develop a statistical methodology to optimally extract information from call center operational data sources to understand the customer experience and forecast call volume.