Results 41 to 50 of about 2,478 (171)
IEEE Access, 2018 This paper addresses H∞ synchronization for uncertain chaotic systems with one-sided Lipschitz nonlinearity under the output and intrinsic state delays.
Zhanshan Zhao +3 more
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Initial State Privacy of Nonlinear Systems on Riemannian Manifolds
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT In this paper, we investigate initial state privacy protection for discrete‐time nonlinear closed systems. By capturing Riemannian geometric structures inherent in such privacy challenges, we refine the concept of differential privacy through the introduction of an initial state adjacency set based on Riemannian distances.
Le Liu, Yu Kawano, Antai Xie, Ming Cao
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Hyers-Ulam Stability of Iterative Equation in the Class of Lipschitz Functions
Discrete Dynamics in Nature and Society, 2014 Hyers-Ulam stability is a basic sense of stability for functional equations. In the present paper we discuss the Hyers-Ulam stability of a kind of iterative equations in the class of Lipschitz functions.
Chao Xia, Wei Song
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Nonlinear Analysis, 2017 At the beginning, a class of fractional-order delayed neural networks were employed. It is known that the active functions in a target model may be Lipschitz continuous, while some others may also possessing inverse Lipschitz properties.
Ruoxia Li +3 more
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Vertical Deformation Mapping: Steering Optimiser Toward Flat Minima
CAAI Transactions on Intelligence Technology, EarlyView.ABSTRACT Standard deep learning optimisation is typically conducted on shape‐fixed loss surfaces. However, shape‐fixed loss surfaces may impede optimisers from reaching flat regions closely associated with strong generalisation. In this work, we propose a new paradigm named deformation mapping to deform the loss surface during optimisation.
Liangming Chen +4 more
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CAAI Transactions on Intelligence Technology, EarlyView.ABSTRACT This paper proposes a boundary control method for nonlinear distributed parameter systems (DPSs) with limited boundary measurements (BMs), as typically encountered in networked cyber‐physical processes with spatially distributed dynamics such as thermal and biomedical diffusion systems.
Yanlin Li +5 more
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On stability of generalized phase retrieval and generalized affine phase retrieval
Journal of Inequalities and Applications, 2019 In this paper, we consider the stability of intensity measurement mappings corresponding to generalized phase retrieval and generalized affine phase retrieval in the real case. First, we show the bi-Lipschitz property on measurements of noiseless signals.
Zhitao Zhuang
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SDFs from Unoriented Point Clouds using Neural Variational Heat Distances
Computer Graphics Forum, EarlyView.We propose a novel variational approach for computing neural Signed Distance Fields (SDF) from unoriented point clouds. We first compute a small time step of heat flow (middle) and then use its gradient directions to solve for a neural SDF (right). Abstract We propose a novel variational approach for computing neural Signed Distance Fields (SDF) from ...
Samuel Weidemaier +5 more
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Inverse Function Theorems and Jacobiansover Metric Spaces
Analysis and Geometry in Metric Spaces, 2014 We present inversion results for Lipschitz maps f : Ω ⊂ ℝN → (Y, d) and stability of inversionfor uniformly convergent sequences. These results are based on the Area Formula and on the l.s.c. of metricJacobians.
Granieri Luca
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A LIPSCHITZ METRIC FOR THE CAMASSA–HOLM EQUATION
Forum of Mathematics, Sigma, 2020 We analyze stability of conservative solutions of the Cauchy problem on the line for the Camassa–Holm (CH) equation. Generically, the solutions of the CH equation develop singularities with steep gradients while preserving continuity of the solution ...
JOSÉ A. CARRILLO +2 more
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