Modélisation de l’efficacité des cellules CAR-NK pour traiter les leucémies pédiatriques

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 […]

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Décomposition de Dantzig-Wolfe pour l’optimisation basée sur des modèles de choix discret avancés

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 […]

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Advanced Simulation Methods for a Next Generation Computational Fluid Dynamics Solver Year One

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 […]

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Programming Techniques for QUBO Compatible Processors II

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 […]

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La science des données au service des athlètes olympiques canadiennes de water polo : développement de profils de performance

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 […]

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Outil d’aide à la décision pour la conception d’un réseau logistique régional mutualisé, efficient et éco-responsable des denrées alimentaires dans les Laurentides

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 […]

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Rigidity of Pham-Brieskorn Threefolds

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 […]

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Generalization of SR.ai NLP Algorithms to New Data Sources and Stability Improvements

The field of responsible investing is rapidly expanding, with even greater attention on the importance of responsible investment with each passing year, as seen most recently in the aftermath of the impactful 2021 COP26 summit, where responsible investment was key focal point. Directing our financial resources in a sustainable direction has the potential to have […]

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Computational Optimal Transport

In the last 30 years, the theory of optimal transportation (OT) has emerged as a fertile field of inquiry, and a diverse tool for exploring applications within and beyond mathematics, in such diverse fields as economics, meteorology, geometry, fluid mechanics and engineering. More recently, thanks to many applications in finance, economics, quantum chemistry, machine learning […]

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Pathway to comparative data analytics

Linamar uses sensors and gauges to monitor machine performance in factories across the world. However, the infrastructure to fully exploit such data to improve productivity and performance is currently limited as there is no integrated environment available to uniformly collect, manipulate and analyze the data. The primary objective of this project is to create an […]

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Relating Quantitative ESG to the Evolving ESG Regulatory / Reporting Landscape

The field of responsible investing is rapidly expanding, with even greater attention on the importance of responsible investment in 2021, as seen in the aftermath of the hugely impactful COP26 summit. Directing our financial resources in a sustainable direction has the potential to have a massive impact on helping us meet the Sustainable Development Goals […]

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Graded Rouquier blocks for Hecke and Schur algebras

Perhaps the most basic object in the world of representation theory is the symmetric group, the group of all ways of rearranging a set of size n. Despite the simplicity of this object, it is still very rich, and its category of representations is a remarkable mixture of combinatorial accessibility, and exceptionally difficult questions. Famously, […]

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