Statistical learning methods for functional data

Description

A wealth of complex and high-dimensional data is available nowadays in many different fields, including sciences, finance and engineering. Effective data analysis and interpretation still represent the bottleneck in advancing knowledge in many areas of research. Functional data represent the extreme case of high-dimensional data; indeed, these are data that vary over a continuum and can be represented as curves – consequently, they are intrinsically infinite dimensional data. The complexity and dimension of functional data pose several challenges for reliable and computationally efficient statistical analysis.
The main objective of this PhD project is to extend the scope of statistical learning techniques in functional data analysis. The PhD student will develop novel unsupervised (clustering and motif discovery) and/or supervised methods (variable selection in regression model) for the analysis of functional data, implement them in user-friendly software, and apply them to analyze real data.

Research Field

- Statistics
- Data science
- Statistical learning
- Machine learning
- Functional data analysis
- Biostatistics

Research Supervisor

Marzia Angela Cremona

Research Environment

Department of Operations and Decision Systems, CHU de Québec Research Center, Institute Intelligence and Data

Web Site

Financial Aid Available by Program of Study

Doctorate in Administrative Science - Operations and Decision-Making Systems

Program description

Financial Aid Available*

Financial Aid Related to Research Project

$25000 per year for 4 years.

The funding of at least 25 000 CAD/year for 4 years includes admission and success support scholarships from the Faculty, as well as supervisor scholarships. Additional funding is available from the Faculty (progression scholarships, funding for conference participation, scholarships for publications, etc.). This amount may be increased by scholarships obtained from external organizations (e.g. FRQ, NSERC, IID, CIRRELT) to which the student must apply.

Program-Specific Financial Aid

Graduate Studies Awards

Admissions scholarships	Amount
Student Awards and Financial Aid Office (BBAF)	$2,000
Doctoral support fund (FSA ULaval) in collaboration with the FESP	$13,000 (3 instalments)
Total admissions scholarships available	$15,000
Program milestones (progression scholarships)	Amount
1. Doctoral exam	$5,000
2. Thesis project	$6,000
3. First submission of thesis	$4,000
Total progression scholarships	$15,000
Other potential funding from FSA ULaval	Amount
Doctoral scholarship application	$2,000
Expense allowance for presentations at scientific conventions	$5,000
Publication of a scientific article related to the research topic over the course of the program	$4,500 (3 x $1,500)
2 possible teaching assistantships	$17,000 (2 x $8,500)
Potential contribution from FSA ULaval	$10,000
Total other funding	$38,500

Université Laval: Student Financial Aid

Funding source	Amount
Leadership and Comittment Scholarship (Canadians & permanent residents)	$30,000
Citizens of the World Scholarship (International students)	$30,000
Mobility Grant for Out-of-Province Internships or Research Visits (in French)	$1,500 to $3,000
Graduate Scholarships from Granting Agencies	$25,000 to $40,000$
Online Directory of Graduate Scholarships (in French)	$500 to $50,000

Supplemental Tuition Fee Exemption Scholarship Program: Entitles international students to pay Canadian student tuition fees, for overall savings of around $40,000.

_{* Amounts shown represent maximum financial aid available. Certain conditions apply. Subject to change without prior notice. For further information, contact sponsoring organizations directly.}

Doctorate in Biostatistics

Program description

Financial Aid Available*

Financial Aid Related to Research Project

$25000 per year for 4 years.

Program-Specific Financial Aid

Graduate Studies Awards

Milestone	Amount
Program progress award (S-1 to S-8)	8 x $525
Program progress award (S-9 to S-11)	3 x $200
Successful completion of Ph.D exam	$800
Submission of dissertation deposit before the end of the 12th semester	$2,000
Language training	$250
Total	$7,850

Université Laval: Student Financial Aid

Funding source	Amount
Leadership and Comittment Scholarship (Canadians & permanent residents)	$30,000
Citizens of the World Scholarship (International students)	$30,000
Mobility Grant for Out-of-Province Internships or Research Visits (in French)	$1,500 to $3,000
Graduate Scholarships from Granting Agencies	$25,000 to $40,000$
Online Directory of Graduate Scholarships (in French)	$500 to $50,000

Supplemental Tuition Fee Exemption Scholarship Program: Entitles international students to pay Canadian student tuition fees, for overall savings of around $40,000.

_{* Amounts shown represent maximum financial aid available. Certain conditions apply. Subject to change without prior notice. For further information, contact sponsoring organizations directly.}

Doctorate in Statistics

Program description

Financial Aid Available*

Financial Aid Related to Research Project

$25000 per year for 4 years.

Program-Specific Financial Aid

Graduate Studies Awards

Milestone	Amount
Progression scholarship 1 - 7	7 x $1,600
Progression scholarship 8	$800
Total	$12,000

Université Laval: Student Financial Aid

Funding source	Amount
Leadership and Comittment Scholarship (Canadians & permanent residents)	$30,000
Citizens of the World Scholarship (International students)	$30,000
Mobility Grant for Out-of-Province Internships or Research Visits (in French)	$1,500 to $3,000
Graduate Scholarships from Granting Agencies	$25,000 to $40,000$
Online Directory of Graduate Scholarships (in French)	$500 to $50,000

Supplemental Tuition Fee Exemption Scholarship Program: Entitles international students to pay Canadian student tuition fees, for overall savings of around $40,000.

_{* Amounts shown represent maximum financial aid available. Certain conditions apply. Subject to change without prior notice. For further information, contact sponsoring organizations directly.}

Desired Profile

- Computer Software
- Mathematics, Statistics and Actuarial Science
- Computer Engineering
- Software Engineering
- Statistic
- Artificial intelligence

Requirements and Conditions

- Background in statistics, machine learning, data science, or similar
- Programming experience (R, Python, Matlab or similar)
- Advanced level of English
- Intermediate level of French (or willingness to reach an intermediate level before the beginning of the PhD program)

Required Documentation

- Cover letter
- Curriculum vitæ
- Student transcript

Find Out More

Marzia Angela Cremona
Professeure agrégée
Département d'opérations et systèmes de décision
Marzia.Cremona@fsa.ulaval.ca