We propose development and validation of novel mathematical tools which can be used for information processing for object and/or model identification and detection within decision support systems (DSS) in various decision frameworks such as situation assessment and analysis, genetic modeling and analysis, medical imaging, etc. The project will have two main novel contributions: (1) introducing […]

To understand the effects of various substances on plants in terms of yield and disease severity (phytopathology), we need to evaluate both statistical significance and biological relevance when conducting biological experiments. Biological relevance refers to the nature and size of biological changes or differences seen in studies that would be considered relevant, while Statistically significance […]

In a historic United Nations (UN) summit, world leaders adopted 17 Sustainable Development Goals (SDGs) as a universal call to action to address the global challenges we face by the year 2030, including those related to poverty, inequity, environmental degradation, prosperity, and peace and justice. Together, the UN and their partners have underscored the importance […]

“Bohemian matrices and applications” is a new and growing field in computational mathematics invented at Western University. The name “Bohemian” is a mnemonic for “Bounded Height Matrix of Integers”, which means that the entries of these matrices are drawn from a small set of numbers, such as {-1, 0, 1}. The original motivation for starting […]

Representation theory of algebras is an active area of research with numerous contributions to different areas of pure mathematics and theoretical physics. This is because it often represents very technical and complicated concepts in terms of concrete oriented graphs that are equipped with some additional data. In this area, as any other mathematical concept, the […]

Models used for Wildfire catastrophe insurance as of today are not considering substantial information, such as geographic information and environmental constraints. The objective of the project is to establish a theoretical framework and an empirical process to enhance Aviva Canada’s current Wildfire Economic Capital (EC) model, to be able to determine the amount of capital […]

Numerical simulation is a cornerstone of modern science and industry, and is used in many facets of our everyday lives. While many of us are familiar with short-term weather forecasting, substantially more computational effort is dedicated to longer-term simulations of the Earth’s ocean and atmosphere, for climate and other reasons. In such simulations, certain properties […]

The call center managers at Hydro-Quebec (HQ) need to deliver both low operating costs and high service quality. Their task is made especially difficult because they need to meet an incoming demand which is typically both time-varying and uncertain. The current techniques of forecasting future call volumes at HQ are often unreliable, and there is […]

According to evolutionary biology, adaptation of a population to a new environment results from an equilibrium between various trends. Adaptation is shaped by selection forces, such as fecundity, mortality and competition for resources, by migration, and by the generation of diversity at reproduction. The type of reproduction, whether it is mainly clonal (asexual) or it […]

Hyperplanes can be thought of as codimension 1 affine subspaces of a given Euclidean space. Given an arrangement A of hyperplanes in R^d, the set of intersections of hyperplanes define a partially ordered set called intersection poset. The characteristic polynomial of A can then be defined using Mobius function of the intersection poset. One can […]

Chronic pain costs Canadians more than any other chronic condition and affects 1 in 6 Canadians. Scientific publications of data collected from pain management apps are important to help both consumers and healthcare professionals select the right app. Developed by ManagingLife, Manage My Pain is an app-based pain management platform that allows chronic-pain users to […]

Le but principal du projet est de developper un algorithme d’optimisation pour resoudre Ie probleme de segmentation des primes d’assurance sur une region donnee, qui est un enjeu majeur pour les cornpagnies d’assurance. Ce probleme consiste a determiner comment partitionner une region en territoires sur lesquels la prime d’assurance est constante. Les territoires sont soumis […]