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Browsing Mathematics by Title
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Toleubek, Moldir
(Nazarbayev University School of Sciences and Humanities, 2020-05-04)
Recently, several studies have been conducted in a field of machine learning to construct manifolds from data in a complex multidimensional space. Therefore manifold learning becomes remarkably attractable among researchers. ...
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Biyar, Magzhan
(Nazarbayev University School of Sciences and Humanities, 2021-05)
This thesis is devoted to the study of a nonlinear diffusion equation. We have to
prove that the Cauchy problems for a molecular beam epitaxy (MBE) equation with
slope selection is locally well-posed for initial data in 𝑊...
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Raimbekov, Temirlan
(Nazarbayev University School of Sciences and Humanities, 2020)
This thesis first reviews the Conditional Random Fields (CRF) model. Then, we introduce the Hierarchy and Exclusion (HEX) graphs and describe the probabilistic classification model based on these graphs (HEX model). Next, ...
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Mustafa, Manat; Bazhenov, Nikolay; Mauro, Luca San; Sorbi, Andrea; Yamaleev, Mars
(Springer, 2020-02-13)
Computably enumerable equivalence relations (ceers) received a lot of attention in the literature. The standard tool to classify ceers is provided by the computable reducibility ⩽c. This gives rise to a rich degree structure. ...
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Merembayev, Timur; Kurmangaliyev, Darkhan; Bekbauov, Bakhbergen; Amanbek, Yerlan
(MDPI AG, 2021-03-29)
Defining distinctive areas of the physical properties of rocks plays an important role in reservoir evaluation and hydrocarbon production as core data are challenging to obtain from all wells. In this work, we study the ...
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Bountis, Anastasios
(Nonlinear Phenomena in Complex Systems, 2019)
In this paper, I review a number of results that my co-workers and I have obtained in
the field of 1–Dimensional (1D) Hamiltonian lattices. This field has grown in recent years,
due to its importance in revealing many ...
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Nurmukhamedov, Sultan
(Nazarbayev University School of Sciences and Humanities, 2020-04-30)
Recent studies have shown that the appropriate space for word embeddings is not the Euclidean space, but negatively curved, hyperbolic space. We randomly throw points in the hyperbolic disc and claim that these points are ...
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Assylbekov, Zhenisbek; Takhanov, Rustem
(AI ACCESS FOUNDATION, 2019-09)
This paper takes a step towards theoretical analysis of the relationship between word embeddings and context embeddings in models such as word2vec. We start from basic probabilistic assumptions on the nature of word vectors, ...
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Ruzhansky, Michael; Suragan, Durvudkhan
(SUOMALAINEN TIEDEAKATEMIA, 2019)
We prove a range of critical Hardy inequalities and uncertainty type principles on one of most general subclasses of nilpotent Lie groups, namely the class of homogeneous groups. Moreover, we establish a new type of critical ...
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Sabit, F.; Shakipov, Mansur; Skrzypacz, Piotr; Golman, Boris
(The Institute of Combustion Problems, 2019-02-20)
The catalytic chemical reaction is usually carried out in a pellet where the catalyst is distributed throughout its porous structure. The selectivity, yield and productivity of the catalytic reactor often depend on the ...
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Kashkynbayev, Ardak; Rihan, Fathalla A.
(Mathematics, 2021-08-03)
In this paper, we study the dynamics of a fractional-order epidemic model with general
nonlinear incidence rate functionals and time-delay. We investigate the local and global stability
of the steady-states. We deduce ...
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Kashkynbayev, Ardak; Rihan, Fathalla A.
(MDPI AG, 2021-08-03)
Abstract: In this paper, we study the dynamics of a fractional-order epidemic model with general
nonlinear incidence rate functionals and time-delay. We investigate the local and global stability
of the steady-states. ...
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Adhikari, Sharmistha; Ray, Sangram; Biswas, Gosta P.; Obaidat, Mohammad S.
(International Journal of Communication Systems, 2018-10-25)
Initially, Internet has evolved as a resource sharing model where resources are identified by IP addresses. However, with rapid technological advancement, resources/hardware has become cheap and thus, the need of sharing ...
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Mac´ıas-D´ıaz, Jorge E.; Bountis, Anastasios; Christodoulidi, Helen
(Mathematics in Engineering, 2019-04-03)
We consider a family of 1-dimensional Hamiltonian systems consisting of a large number
of particles with on-site potentials and global (long range) interactions. The particles are initially at rest at the equilibrium ...
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Ruzhansky, Michael; Suragan, Durvudkhan; Yessirkegenov, Nurgissa
(Springer, 2020-06-10)
In this paper we describe the Euler semigroup {e−tE∗E}t>0 on homogeneous Lie groups, which allows us to obtain various types of the Hardy–Sobolev and Gagliardo–Nirenberg type inequalities for the Euler operator E. Moreover, ...
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LEE, Eunghyun
(arxiv, 2020)
We find the formulas of the transition probabilities of the N-particle multi species asymmetric simple exclusion processes (ASEP), and show that the transition prob abilities are written as a determinant when the order of ...
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Zhuman, Gulnissa
(Nazarbayev University School of Sciences and Humanities, 2022-05)
This thesis explores a model for aggressive brain cancer - glioblastoma multiforme,
with modified gompertzian growth function. Density-dependent diffusion term, taxis,
and growth functions are included in the model that ...
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Wei, Dongming; Al-Ashhab, Samer
(Elsevier, 2019-04-20)
The reduced problem of the Navier–Stokes and the continuity equations, in two-dimensional Cartesian coordinates with Eulerian description, for incompressible non-Newtonian fluids, is considered. The Ladyzhenskaya model, ...
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Kashkynbayev, Ardak; Amanbek, Yerlan; Shupeyeva, Bibinur; Kuang, Yang
(AIMS Press, 2020-10-23)
Mathematical modeling for cancerous disease has attracted increasing attention from the
researchers around the world. Being an effective tool, it helps to describe the processes that happen
to the tumour as the diverse ...
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Ashimov, Temirlan
(Nazarbayev University School of Sciences and Humanities, 2021-05)
In the Data Science routine, we often face the curse of dimensionality, dealing with
high-dimensional data which, in turn, can be very difficult. The problems of this nature
can be approached by methods of Dimensionality ...