Exploration of Authoring Features to Facilitate Rapid Creation of STEM Subject Content in Mobile Practice Applications

This internship is a continuation of a previous Mitacs Accelerate Internship during which time Mathtoons worked with Dr. Wang of UBC Okanagan and intern, Yipin Guo of the Math and Computer Science faculties. The previous research enabled Mathtoons development team to incorporate many features within its Content Editor software which will allow teachers of upper […]

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The Three-Body Problem, and the Great Inequality of Jupiter and Saturn

We propose to produce a self-contained analysis and reduction of the equations of motion of the much-studied three body problem, making application to the Great Inequality (GI) of Jupiter and Saturn. The GI is a result of the mutual gravitational attraction between these two planets. Their orbits are very nearly in resonance (integer ratio of […]

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Consolidating High-Frequency and Textual Data for Optimal Anomaly Detection in Derivative Markets

In the last few years, a high increase in the interest of traders and investors towards financial instruments directly led to an important augmentation of the information received daily by exchanges. Exchange regulators, who constantly monitor markets to unveil potential infractions, traditionally perform their investigation manually and the notable growth in market activity represents an […]

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Optimization of Long-Term Planning of Mining Operations

To determine the infrastructure and their equipment needs throughout the life of a mine, mining companies solves a long-term planning problem that aims at determining the mining sequences that will maximize the net present value of profits while taking into account operational constraints. These problems are very difficult to solve because of their huge size. […]

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Équité algorithmique; impacts et changements de mesures

Présentement, les modèles de tarification en assurance auto calculent les primes chargées aux assurés en tentant de prédire leur risque d’assurance grâce à plusieurs critères (âge, sexe, état-civil, expérience de conduite, caractéristiques du véhicule, etc.). Le problème auquel ce projet s’adresse est celui du point de vue éthique d’une telle approche. En effet, l’usage de […]

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Portfolio Optimizer

Portfolio managers evaluate stocks to find those with the best expected returns, but they need risk measures to complete their decision-making process. The project has the objective to give adequate risk metrics to portfolio managers for a given portfolio and a list of potential candidates. Historical price values are useful to determine risk, but they […]

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Application of Machine Learning in Radiation Oncology Scheduling

The Ophthalmology department of CHUM receives almost 400 patients per day, each of which needs to go through different tests and consultations. Scheduling those appointments is a complicated task as it involves multiple shared resources, precedent constraints between tests, and uncertainty in tests’ durations, cancellations, emergency patients, etc. The current manual scheduling at the department […]

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Statistical Analysis of Prostate Brachytherapy Treatment Data

Using data obtained over a period of 15 years from Brachytherapy procedures used on patients to treat prostate cancer, statistical analysis will be carried out to confirm the hypothesis that Brachtherapy treatments offer the best outcomes at the lowest cost in comparison to other treatment modalities. The first stage of the project will be to […]

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Complex network based data analysis for shared mobility

This project aims to build a new analysis toolkit for shared bikes, escooters, and cars. The method is based on a mathematical theory called complex network. Like internet and human brains, transportation system possesses network structure. To study its topological properties, we can calculate some indices that encode the information of the network. There are […]

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