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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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