Results 11 to 20 of about 2,011 (255)
Implications of Non-Differentiable Entropy on a Space-Time Manifold
Entropy, 2015 Assuming that the motions of a complex system structural units take place on continuous, but non-differentiable curves of a space-time manifold, the scale relativity model with arbitrary constant fractal dimension (the hydrodynamic and wave function ...
Maricel Agop +2 more
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Geometric Neural Ordinary Differential Equations: From Manifolds to Lie Groups [PDF]
EntropyNeural ordinary differential equations (neural ODEs) are a well-established tool for optimizing the parameters of dynamical systems, with applications in image classification, optimal control, and physics learning.
Yannik P. Wotte +2 more
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Manifold topological deep learning for biomedical data [PDF]
Nature CommunicationsRecently, topological deep learning (TDL), which integrates algebraic topology with deep neural networks, has achieved significant success in processing point-cloud data and has emerged as a promising paradigm in data science.
Xiang Liu +5 more
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Qualia as control-theoretic constructs for autonomous agents: event phase space as an action-oriented semantic safety layer [PDF]
Frontiers in Robotics and AIAutonomous systems face a fundamental complexity barrier in open-world environments: decomposing scenes into discrete entities and searching over combinatorial action spaces leads to prohibitive computational costs, yet biological agents navigate ...
Vladimir Suvorov
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Analysis of High-Dimensional Coordination in Human Movement Using Variance Spectrum Scaling and Intrinsic Dimensionality [PDF]
EntropyFull-body movement involving multi-segmental coordination has been essential to our evolution as a species, but its study has been focused mostly on the analysis of one-dimensional data.
Dobromir Dotov +3 more
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A DIFFERENTIABLE STRUCTURE ON A FINITE DIMENSIONAL REAL VECTOR SPACE AS A MANIFOLD
Barekeng, 2023 There are three conditions for a topological space to be said a topological manifold of dimension : Hausdorff space, second-countable, and the existence of homeomorphism of a neighborhood of each point to an open subset of or -dimensional locally ...
Edi Kurniadi
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On conformal transformations of metrics of Riemannian paracomplex manifolds
Дифференциальная геометрия многообразий фигур, 2021 A 2n-dimensional differentiable manifold M with -structure is a Riemannian almost paracomplex manifold. In the present paper, we consider conformal transformations of metrics of Riemannian paracomplex manifolds.
S.E. Stepanov +2 more
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International Journal of Analysis and Applications, 2022 Manifolds with fλ(6,4) structure was defined and studied in the past. Later the geometry of tangent and cotangent bundles in a differentiable manifold with fλ(6,4) structure was studied.
Manisha M. Kankarej, Jai Pratap Singh
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Machines, 2023 Kinematic control of redundant serial manipulators has been carried out for the past half century based primarily on a generalized inverse velocity formulation that is known to have mathematical deficiencies.
Adrian Peidro, Edward J. Haug
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A Quantum-Behaved Particle Swarm Optimization Algorithm on Riemannian Manifolds
Mathematics, 2022 The Riemannian manifold optimization algorithms have been widely used in machine learning, computer vision, data mining, and other technical fields. Most of these algorithms are based on the geodesic or the retracement operator and use the classical ...
Yeerjiang Halimu +3 more
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