Dual generalized B-spline functions and their applications in several approximation problems
A new construction method of dual generalized B-spline functions is presented in this paper. Due to the importance of generalized B-splines, several interesting applications of these dual functions in Computer Aided Manufacturing are also given.
Li ZHANG +3 more
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The fundamental group of the space $\Omega_n(m)$
In the present paper the spaces $\Omega_n(m)$ are considered. The spaces $\Omega_n(m)$, introduced in 2018 by A.M. Pasko and Y.O. Orekhova, are the generalization of the spaces $\Omega_n$ (the space $\Omega_n(2)$ coincides with $\Omega_n$).
A.M. Pasko
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Capturing Heterogeneous Time-Variation in Covariate Effects in Non-Proportional Hazard Regression Models. [PDF]
ABSTRACT A central focus in survival analysis is examining how covariates affect survival time. These covariate effects are often found to be either time‐varying, heterogeneous—such as being specific to patients, treatments, or subgroups—or exhibit both characteristics simultaneously. While the standard model, the Cox proportional hazards model, allows
Hagemann N, Kneib T, Möllenhoff K.
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The Betti numbers of the space $\mathbb{C}\Omega_3$
The space $\mathbb{C}\Omega_3$ is considered. The Betti numbers of the space $\mathbb{C}\Omega_3$ are calculated.
A.M. Pasko
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The homology groups of the space $\Omega_n(m)$
The spaces $\Omega_n(m)$ that generalize the spaces $\Omega_n$ are introduced. In order to investigate the homotopy invariants of the space $\Omega_n(m)$ the CW-structure of the space $\Omega_n(m)$ is built.
A.M. Pasko
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Design method of nonsubsampled graph filter banks
In order to overcome the problem that it is difficult to accurately define the downsampling operation for a generalized graph signal in graph filter banks, this paper focuses on the design algorithm of nonsubsampled graph filter banks.
Yang Sheng
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The homology groups of the Cartesian product $\Omega_{n_1}(m_1)\times \Omega_{n_2}(m_2)$
The paper continues the investigation of the spaces of complex-valued perfect splines $\Omega_n(m)$. These spaces were introduced as generalization of the spaces $\Omega_n$, the topology of which has been studied by V.I. Ruban, V.A. Koshcheev, A.M. Pasko.
A.M. Pasko
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The homotopy groups $\pi_k(\Omega_n(m))$, $k=1,...,n$
The paper continues the investigation of the spaces of complex-valued perfect splines $\Omega_n(m)$. These spaces were introduced as generalization of the spaces $\Omega_n$, the topology of which has been studied by V.I. Ruban, V.A. Koshcheev, A.M. Pasko.
A.M. Pasko
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Nonlinear dynamics of surfing participation, flow, and enjoyment. [PDF]
Lin M, Wang F, Zhou B.
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An evaluation of the relationship between BIS and MOAA/S during remimazolam-sufentanil induction: a prospective observational study. [PDF]
Zheng JL +6 more
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