Topological data analysis is a tool used to analyze the shape of a given dataset. It allows one to find topological or geometrical features of even large collections of data. Persistent homology is one of the main approaches to topological data analysis in recent times. The strategy is to set some rule to build geometrical […]

In this project, we study a connection between graphs (also called networks) and algebraic objects known as ideals. Graph theory is a major branch of modern mathematics, with diverse applications to society and industry such as transportation system modelling and social media marketing. The simple yet fundamental algebraic structure of an ideal encodes important information […]

Reliable long-term and short-term financial performance predictions are crucial for financial corporations to make major financial decisions and assess their financial health. Our work will develop high-performance machine learning models to detect the underlying drivers of various financial affairs such as balance, revenue, expense and cash flow, etc. And effectively using these key features to […]

Regulatory changes in accounting standards implemented in 2018 (rules IFRS 9) require that banks’ provisions (i.e., reserves set aside to cover future losses) are evaluated in a forward-looking manner, considering carefully-designed projections of the macroeconomic environment. Further, should a financial instrument experience a substantial risk increase, the methodology to calculate reserves must become more conservative. […]

Financial fraud is a very serious problem plaguing financial institutions. Recent advances in information technology have only exacerbated this problem. Poor risk models were at the core of the 2008 financial crisis. Complex networks, structured graphs, are powerful models for representing higher-order interactions or dependencies within data sets. Graphs are relational models of covariates, where […]

La leucémie est le cancer le plus commun chez l’enfant. Elle est déclenchée par des abbérations génétiques dans des cellules très productives dans le système hématopoïétique; ainsi, ces mutations causent une accumulation de globules blancs immatures dans le sang et les tissus. De nouveaux traitements immunothérapeutiques sont sous étude pour remplacer la chimiothérapie cytotoxique. Un […]

De nombreux problèmes décisionnels réels issus des domaines des transports, de la logistique et de l’administration publique partagent une structure commune dans laquelle un décideur cherche à adopter des politiques permettant d’optimiser un objectif qui dépend de la réaction d’une population. Pour adéquatement formaliser ce type de problème, l’hétérogénéité des préférences et des objectifs des […]

Computational Fluid Dynamics (CFD) is a branch of fluid mechanics that is focused on using numerical methods to solve and analyze practical engineering problems involving fluid flow. The purpose of the proposed research project is to develop novel simulation methods directed at applications in sensitivity analysis and design optimization. Sensitivity and optimization studies are becoming […]

The main problem this internship project explores is the selection, conversion, and encoding of mathematical models that pertain to the finance industry for processing on available types of analog optimization processors. This research investigation aims to develop new algorithms and code that take advantage of an analog optimization process which acts as an “oracle” for […]

Ce projet proposé par l’Institut national du sport du Québec (INS Québec), en collaboration avec l’équipe nationale féminine de Water Polo Canada, a comme principal objectif d’exploiter les données d’entraînement, de tests physiques et les résultats de compétition, collectés au cours des 10 dernières années, auprès de 202 athlètes. Nous exploiterons les modèles et techniques […]

Le chantier transport durable des denrées – volet sécurité alimentaire a été ciblé comme une priorité régionale et le Carrefour bioalimentaire Laurentides a coordonné l’élaboration d’un plan de transport durable ainsi que sa mise en oeuvre. À la suite de nombreuses consultations regroupant les partenaires, le plan de transport durable a permis de se doter […]

Algebraic geometry is generally concerned with understanding the properties of geometric objects defined by polynomial equations. These geometric objects, called “varieties”, are points, curves, surfaces and higher dimensional objects. To each variety there is an associated abstract object called a “commutative ring”. It is interesting to try to determine whether a variety contains a certain […]