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Title
Absolutely continuous invariant measures for position dependent random maps of piecewise real-analytic maps on the plane
Source
Dynamics of Continuous, Discrete and Impulsive Systems, Series A: Mathematical Analysis
Date
2022
Author
Islam, M. Shafiqul
Genre
Journal Article
Abstract
Let {τ1, τ2, · · · , τK} be a collection of piecewise real analytic maps on a real analytic partition P of a bounded region S ⊂ R2 . Let {p1, p2, ·...
Volume
29
Issue
1
Start Page
51
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Title
Portfolio optimization under multivariate affine generalized hyperbolic distributions
Source
International Review of Economics & Finance
Date
2022
Author
Wang, Chou-Wen
;
Liu, Kai
;
Li, Bin
;
Tan, Ken Seng
Genre
Journal Article
Abstract
This paper focuses on capturing the impacts of leptokurtic phenomenon and heterogeneous preferences in higher moments on asset allocation. To...
DOI
10.1016/j.iref.2022.02.053
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Title
The influence of density in population dynamics with strong and weak Allee effect
Source
Journal of the Egyptian Mathematical Society
Date
2021
Author
Keya, Kamrun Nahar
;
Kamrujjaman, Md.
;
Islam, Md. Shafiqul
Genre
Journal Article
Abstract
In this paper, we consider a reaction–diffusion model in population dynamics and study the impact of different types of Allee effects with logistic...
Volume
29
Issue
4
DOI
10.1186/s42787-021-00114-x
Publication Status
PUBLISHED
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Title
Real-time portfolio optimization under multivariate affine generalized hyperbolic distributions
Source
CMS Summer Meeting
Date
2021
Author
Liu, Kai
Genre
Invited Talk
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Title
Metaheuristic exploration via deep learning object localization
Date
2021
Author
Zang, Mengyu
Genre
Honours
Abstract
Heuristic and metaheuristic optimization algorithms have enjoyed success as the method of choice for solving many real world problems due to their...
Publisher
University of Prince Edward Island
Publication Status
PUBLISHED
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Title
A taste of Galois theory
Source
2021 UPEI Undergraduate Research Days
Date
2021
Author
Madhavendra, Madhavendra
;
Burke, Maxim
Genre
Abstract
Abstract
The realization of Galois groups over the field of rationals has been a longstanding open question in abstract algebra since Hilbert termed it as...
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Title
Glioma segmentation of optimized 3D U-net and prediction of multi-modal survival time
Source
Neural Computing and Applications
Date
2021
Author
Liu, Qihong
;
Liu, Kai
;
Bolufé-Röhler, Antonio
;
Cai, Jing
;
He, Ling
Genre
Journal Article
Abstract
It is difficult to segment Glioma and its internal structure because the Glioma boundaries have edemas and complex internal structures. This paper...
DOI
10.1007/s00521-021-06351-6
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Title
Dynamics of a diffusive vaccination model with therapeutic impact and non-linear incidence in epidemiology
Source
Journal of Biological Dynamics
Date
2021
Author
Kamrujjaman, Md.
;
Shahriar Mahmud, Md.
;
Islam, Md. Shafiqul
Genre
Journal Article
Abstract
In this paper, we study a more general diffusive spatially dependent vaccination model for infectious disease. In our diffusive vaccination model,...
Volume
15
Issue
sup1
Start Page
S105
DOI
10.1080/17513758.2020.1849831
Publication Status
PUBLISHED
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Title
Asymptotic iteration method for solving Hahn difference equations
Source
Advances in Difference Equations
Date
2021
Author
MacQuarrie, Lucas
;
Saad, Nasser
;
Islam, Md. Shafiqul
Genre
Journal Article
Abstract
Hahn’s difference operator Dq;wf(x)=(f(qx + w) – f(x))/((q – 1)x + w), q ∈ (0, 1), w > 0, x = w/(1 – q) is used to unify the recently established...
Volume
2021
Issue
354
DOI
10.1186/s13662-021-03511-9
Publication Status
PUBLISHED
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Title
Asymptotic iteration method for the inverse power potentials
Source
The European Physical Journal Plus
Date
2021
Author
Hall, Richard L.
;
Saad, Nasser
Genre
Journal Article
Abstract
The asymptotic iteration method (AIM) is used to accurately calculate the eigenvalues of the Schrödinger equation with the potential 𝑉(𝑟)=−𝑟−𝑠, 𝑠∈...
Volume
136
Issue
688
DOI
10.1140/epjp/s13360-021-01647-x
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Title
Invariant measures of piecewise concave dynamical systems via maximum entropy optimization method
Source
2021 UPEI Undergraduate Research Days
Date
2021
Author
Neupane, Saurav
;
Islam, Shafiqul
Genre
Abstract
Abstract
Piecewise Concave Dynamical System (PCDS) has its wide application in various science fields. Many real-world problems can be modeled into...
Publication Status
OTHER
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Title
A piecewise linear spline maximum entropy method for Frobenius-Perron operators of multi-dimensional transformations
Source
2021 UPEI Undergraduate Research Days
Date
2021
Author
Smith, Adam
;
Islam, Shafiqul
Genre
Abstract
Abstract
In 1976, Mathematician Tien-Yien Li published a solution to a conjecture by Ulam concerning a finite approximation to the Frobenius-Perron operator...
Publication Status
OTHER
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Title
The Asymptotic Iteration Method with applications
Date
2021
Author
Liu, Jiaying
Genre
Honours
Abstract
Asymptotic Iteration Method (AIM) is a recently developed technique for solving analytically and approximately the linear second-order differential...
Publisher
University of Prince Edward Island
Publication Status
PUBLISHED
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Title
Volume Preserving Recurrent Neural Networks (VPRNN)
Date
2021
Author
Taylor-Melanson, William
Genre
Honours
Abstract
Volume Preserving Neural Networks (VPNN) are Artificial Neural Networks comprised solely of volume preserving transformations, with the possible...
Publisher
University of Prince Edward Island
Publication Status
PUBLISHED
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Title
Pricing multivariate financial derivatives using polynomial approximations
Date
2021
Author
Zhang, Jingfan
Genre
Honours
Abstract
Since the early days of the theory of option pricing, pioneered by Black, Scholes and Merton ([3] and [11]) the use of complex financial...
Publisher
University of Prince Edward Island
Publication Status
PUBLISHED
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Title
Enhancement and parameter reduction of networks for image classification
Date
2021
Author
Anderson, Logan
Genre
Honours
Abstract
Over the past few years, there has been a push to make neural networks larger and although this has many benefits, it can be difficult to run these...
Publisher
University of Prince Edward Island
Publication Status
PUBLISHED
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Title
A novel application of a data mining technique to study intersections in the social determinants of mental health among young Canadians
Source
SSM - Population Health
Date
2021
Author
McIsaac, M.A.
;
Reaume, M.
;
Phillips, S.P.
;
Michaelson, V.
;
Steeves, V.
;
Davison, C.M.
;
Vafaei, A.
;
King, N.
;
Pickett, W.
Genre
Journal Article
Abstract
Objectives Adolescent mental health is an emergent clinical and public health priority in Canada. Gender-based differences in mental health are...
Volume
16
Start Page
100946
DOI
10.1016/j.ssmph.2021.100946
Publication Status
PUBLISHED
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Title
Piecewise convex deterministic dynamical systems and weakly convex random dynamical systems and their invariant measures
Source
International Journal of Applied and Computational Mathematics
Date
2021
Author
Islam, Md Shafiqul
Genre
Journal Article
Abstract
Absolutely continuous invariant measures of deterministic dynamical systems and random dynamical systems respectively are studied via a general...
Volume
7
Issue
2
DOI
10.1007/s40819-021-00996-6
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Title
A note on the structure of matrix ^*-subalgebras with scalar diagonals
Source
Operators and Matrices
Date
2021
Author
MacDonald, Gordon
;
Mastnak, Mitja
;
Omladič, Matjaž
;
Radjavi, Heydar
Genre
Journal Article
Abstract
We characterize those unital, self-adjoint algebras of complex n×n matrices that are simultaneously unitarily similar to algebras in which every...
Issue
1
Start Page
39
DOI
10.7153/oam-2021-15-03
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Title
Prescreening and treatment of aortic dissection through an analysis of infinite-dimension data
Source
BioData Mining
Date
2021
Author
Qiu, Peng
;
Li, Yixuan
;
Liu, Kai
;
Qin, Jinbao
;
Ye, Kaichuang
;
Chen, Tao
;
Lu, Xinwu
Genre
Journal Article
Abstract
Background Aortic dissection (AD) is one of the most catastrophic aortic diseases associated with a high mortality rate. In contrast to the...
Volume
14
Issue
1
DOI
10.1186/s13040-021-00249-8
Publication Status
PUBLISHED
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