Validation of genomic biomarker in pooled case-cohort studies

Prostate cancer is the most common cancer in men. Radical prostatectomy (RP) is a common treatment for this cancer, and after surgery, patients are still considered at risk. It’s important to accurately identify high risk patients after RP in order to reduce risk through further treatments. The genomic classifier (GC) DecipherTM, a product of GenomeDx […]

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Stage International de recherche en Analyse Quantitave à l’UEDS

Dans le cadre, de mon diplôme d’ingénieur en France, je dois effectuer un stage international pour bénéficier d’une expérience internationale. J’ai choisi le domaine de la recherche, car c’est une discipline intrigante et stimulante qui n’est pas assez développée en France. C’est un domaine qui a toujours aiguisé ma curiosité au point où j’ai choisi […]

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Measuring Structural Diversity using Lacunarity

Forests are important for a variety of ecological, social, and economic values. With climate change, forest ecosystems are globally impacted. More diverse, complex forests are thought to be resilient to climate change impacts. Forest complexity is a well established concept , yet poorly quantified. For forest managers and conservation biologists to make informed decisions, quantitative […]

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Optimal Flows for the Energy Transfer

In this project, we aim to numerically analyze the following conjecture “optimal flows for energy transfer correspond to reconnection of anti-parallel vortex tubes”. We will be tackling this optimization problem using a novel method employed by Professor Protas’ research group over the past few years. This project comes as a way to maintain a strong […]

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Software Tools for Discovering Quantum Computing Applications (Differential Equations Focus)

A lot of industries rely on solving complex mathematical problems to improve their processes and design their products. Non-linear differential equations are often essential for making advancements. However, solving these equations with traditional computers is extremely challenging and resource intensive. Current computing methods struggle with these complex equations, leading to high energy use, long development […]

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Mathematical and Computational Techniques for Cytotoxicity

The study of toxicity is to investigate the adverse effects of chemical and physical agents on living organisms and biological systems, and it is an important topic in the health and environmental sciences. In recent years, Alberta researchers has made great progress and contribution towards developing an innovative toxicity profiling program, and tremendous data sets […]

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Abnormality Detection Using Variational Autoencoder: An Application in Banking System

This internship project focuses on Variational Autoencoders (VAEs) for the precise identification of fraudulent activities within the banking sector, notably on check fraud detection. The literature shows that VAEs are very powerful in extracting principal features and components of a given dataset. This project meticulously outlines a comprehensive methodology where VAE is utilized for analyzing […]

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Deep Reinforcement Learning in Optimal Market-Making

On June 1, 2021, Futures First Canada and FinML began a pilot collaborative project involving three Canadian universities by-way-of a MITACS Accelerate internship (IT25712) which jumpstarted an initiative to use cutting edge techniques in machine learning, financial mathematics, and AI for making predictions in financial markets. This goal is integral to the business operations of […]

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Modélisation spatio-temporelle de pertes dues aux tempêtes de grêle au Canada

Ce projet a pour but d’établir un modèle considérant la dépendance dans l’espace et dans le temps, entre les tempêtes de grêle causant des dommages assurables. Nous utilisons un modèle hiérarchique Bayesien, où la fréquence des pertes assurables sera scindée en partie que nous définirons comme faisant partie du noyau et des extrêmes. Nous utilisons […]

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Flocking behavior research

Flocking behavior is the behavior exhibited when a group of birds, called a flock, are foraging or in flight. There are parallels with the shoaling behavior of fish, the swarming behavior of insects, and herd behavior of land animals. What we want to do is to build the mathematics models and use these models to […]

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Extending the level proximal subdifferential

Many real-world applications can be modeled as nonconvex optimization problems, such as the phase retrieval problem in medical imaging and matrix factorization problems in data analysis, just to name a few. Proximal-type algorithms serve as ideal candidates to resolve these nonconvex problems. Nevertheless, their convergence analysis remains challenging due to the lack of favorable properties […]

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