Risk aggregation is omnipresent in insurance applications. A recent example, borrowed from the modern regulatory accords, is the determination of the aggregate economic capital and its consequent allocation to risk drivers. A more traditional illustration of the importance of risk aggregation in insurance is the celebrated collective risk theory that dates back to the early […]

Pattern analysis is the study of patterns in observed data. One important question in pattern analysis is to find and group similar objects together, e.g., those people with cardiovascular diseases among a set of volunteers willing to donate an organ. This frequently-encountered problem in the domain of data analysis is referred to as classification and […]

The emerging techniques of machine learning and artificial intelligence are making revolutionary changes in all kinds of the industrial world. As a high-tech business solution company, Quartic.ai uses these modern techniques to help industrial manufactory companies work more efficiently. One of the challenging problems is to make the computer automatically recognize the status and behavior […]

Mathematics is frequently viewed as the natural language of science, and has already proven its vital importance through its myriad of applications in engineering and the physical sciences. However, the involvement of mathematics into the life sciences remains relatively unexplored. In particular, the application of mathematics in medicine is a fascinating subset of applied mathematics […]

In this joint collaboration with BNS, we will develop a behavioural risk model to predict the likelihood of future risk of breaking the promise to pay debt for customers who only hold deposit products with BNS. The model will be utilized to support business operations such as credit card and loan pre-approvals. That is to […]

Asset allocation – the decision of how to divide a portfolio among the major asset classes such as cash, stocks and bonds – is a key determinant of portfolio performance. Because financial markets go through periods of strong and weak economies, the performance of an asset class varies with shifting economic conditions. These regime shifts […]

Les compagnies d’assurances investissent des semmes considerables en publicite de toute sorte afin de faire connaTtre leurs produits aux clients potentiels. Une question precise mais a laquelle il est tres difficile de repondre precisement est « Combien de nouvelles soumissions d’assurances par des clients potentiels sont generees grace a ces investissements publicitaires ? » Dans […]

The HIV epidemic and risk behaviour in the DTES will be modelled as stochastic processes on a network. Nodes in the network will represent individuals and links social interactions between them. Stochastic contact processes on the network links will be used to model both transmission of HIV and social influence. The network will capture transmission […]

Financial indicators of an individual firm may be in the form of time series, vectors, or even richer data, such as text or images. The purpose of this work is to explore and develop methods for dealing with such data, and in particular perform the clustering/classification of such data into similar groups. In the project […]

This proposal deals with the pricing and risk management considerations of a property and casualty (P&C) insurance company. These considerations are within the context of a new accounting standard called IFRS 17, in which liabilities in insurance contracts will be measured prior to and during the exposure periods. We propose an implementable and accurate methodology, […]

L’optimisation combinatoire occupe une place prépondérante dans notre société actuelle. Que ce soit la logistique, le transport ou la gestion financière, tous ses domaines se retrouvent confrontés à des problèmes pour lesquels on recherche la meilleure solution. Cependant, un grand nombre de problèmes très complexes reste encore hors de portée des méthodes d’optimisation actuelles. C’est […]

The proposed project is focused on a research area of great interest that my supervisor, Dr. Rasul Shafikov, and Dr. Alexander Sukhov of the University of Lille, have devised in a number of coauthored papers published during the past few years. The research investigates the polynomial and rational convexity of compact sets in Euclidean complex […]