Utilization of Electronic Health Records for Drug Safety Signal Refinement

Electronic health records (EHRs) are repositories of patient health information that contain data on drug prescription and possible adverse drug reactions. Risk Sciences International (RSI) has an interest in development and application of advanced statistical techniques to address questions of drug safety through the analysis of a large hospital-based EHR dataset. We propose to create […]

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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 […]

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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 […]

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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 […]

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Catégories strictes et catégories faibles en dimension 3

Les catégories strictes sont utilisées pour étudier des propriétés géométriques et calculatoires en algèbre, tandis que les catégories faibles sont importantes pour formaliser les mathématiques sur ordinateur. Si les premières sont bien comprises aujourd’hui, possédant des méthodes de calcul efficaces, la théorie mathématique des secondes est encore peu développée car elles sont bien plus complexes. […]

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Analyse de données massives provenant de médias sociaux

Ce projet de recherche vise à développer de nouvelles approches pour l’exploration et l’investigation de données massives provenant de médias sociaux tels que Twitter, des blogues et des sites de nouvelles. Les outils développés devraient permettre de répondre à des questions telles que : qui sont les personnes les plus influentes, initiatrices de tendance; qui […]

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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 […]

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Long term modelling of power prices

Power prices are a significant contributor to the overall risk of almost any large-scale industry. In particular, energy companies such as TransAlta who are active participants in many regional power markets have a strong interest in understanding the long-term risks they are exposed to. This project seeks to develop a model that will help TransAlta […]

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Collaborative Research on A spectral method for Cahn-Hilliard Equation

Cahn-Hilliard, appears in mathematical physics, describes the motion of two phase separating from each other. It has a wide range of applications in diverse fields such as material sciences, nanotechnology and semiconductor fabrication. There is a considerable research interest in studying the solution of the equation; however, the exact solution is hard to find. Therefore, […]

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Process Evaluation of BCAAN/CDBC Internet Project Portal

The British Columbia Autism Assessment Network (BCAAN) and the Complex Developmental and Behavioural Conditions Program (CDBC) are responsible for the coordination and management of referrals and assessments in BC for children suspected of having Autism Spectrum Disorders and other related spectral disorders. As part of a larger project to perform a comprehensive review and revision […]

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The Hitchin—Kobayashi Correspondence

The goal of this project is to study the Hitchin–Kobayashi correspondence which relates solutions of certain differential equations to certain geometric objects with algebraic structure. The differential equations of interest are related to those studied in particle physics. By viewing them from an algebraic perspective, we can often find properties of the space of solutions […]

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