Results 31 to 40 of about 1,924 (155)
Local low-rank approach to nonlinear matrix completion
EURASIP Journal on Advances in Signal Processing, 2021 This paper deals with a problem of matrix completion in which each column vector of the matrix belongs to a low-dimensional differentiable manifold (LDDM), with the target matrix being high or full rank.
Ryohei Sasaki +3 more
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Assessment of Complex System Dynamics via Harmonic Mapping in a Multifractal Paradigm
Mathematics, 2021 In the present paper, nonlinear behaviors of complex system dynamics from a multifractal perspective of motion are analyzed. In the framework of scale relativity theory, by analyzing the dynamics of complex system entities based on continuous but non ...
Gabriel Gavriluț +5 more
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Differentiability in Fréchet spaces and delay differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2019 In infinite-dimensional spaces there are non-equivalent notions of continuous differentiability which can be used to derive the familiar results of calculus up to the Implicit Function Theorem and beyond.
Hans-Otto Walther
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Robust Hessian Locally Linear Embedding Techniques for High-Dimensional Data
Algorithms, 2016 Recently manifold learning has received extensive interest in the community of pattern recognition. Despite their appealing properties, most manifold learning algorithms are not robust in practical applications.
Xianglei Xing, Sidan Du, Kejun Wang
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Orbit Spaces Arising from Isometric Actions on Hyperbolic Spaces
پژوهشهای ریاضی, 2017 Let be a differentiable action of a Lie group on a differentiable manifold and consider the orbit space with the quotient topology. Dimension of is called the cohomogeneity of the action of on .
Reza Mirzaie, mojtaba heydari
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Forming Invariant Stochastic Differential Systems with a Given First Integral
DynamicsThis article proposes a method for forming invariant stochastic differential systems, namely dynamic systems with trajectories belonging to a given smooth manifold.
Konstantin Rybakov
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Collaborative Training of Gans in Continuous and Discrete Spaces for Text Generation
IEEE Access, 2020 Applying generative adversarial networks (GANs) to text-related tasks is challenging due to the discrete nature of language. One line of research resolves this issue by employing reinforcement learning (RL) and optimizing the next-word sampling policy ...
Yanghoon Kim +3 more
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Le Matematiche, 1992 We study the first order prolongations of derived G-structures (in the sense of P. Dazord [9]) on a differentiable manifold. We give necessary and sufficient conditions (in terms of structure functions) for the complete integrability of the ...
L. Maria Abatangelo
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On the partial parallelizable manifolds and associated invariants
Annals of the West University of Timisoara: Mathematics and Computer ScienceOur idea is to use the global diffeomorphism group G (M) to study certain properties of differentiable manifolds endowed with global vector fields. We define a partial parallelizable manifold (p.p.m.) as a couple (M, ρp), where ρp is a global partial ...
Apreutesei Costache
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Boundary Value Problems, 2019 We consider the following nonlinear fractional Schrödinger equation: (−△)su+V(x)u=g(u)in RN, $$ (-\triangle )^{s} u+V(x)u=g(u) \quad \text{in } \mathbb{R} ^{N}, $$ where s∈(0,1) $s\in (0, 1)$, N>2s $N>2s$, V(x) $V(x)$ is differentiable, and g∈C1(R,R) $g ...
Jing Chen, Zu Gao
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