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Multiscale SPD manifold learning for rehabilitation exercise evaluation. [PDF]

Sci Rep
Bai Z, Snášel V, Grosan C, Mirjalili S, Vo B, Pan JS, Kong L.   +6 more
europepmc   +1 more source

Convergence and Properties of Intrinsic Bond Orbitals in Solids. [PDF]

J Chem Theory Comput
Wöckinger B, Rumpf A, Schäfer T.
europepmc   +1 more source

Fisher-Rao Distance for Finite-Energy Signal Manifolds: Geometric Foundations and Numerical Analysis. [PDF]

Entropy (Basel)
Florin F.
europepmc   +1 more source

Scalable preparation of matrix product states with sequential and brick wall quantum circuits. [PDF]

Quantum Sci Technol
Szołdra T, Mukherjee R, Schmelcher P.
europepmc   +1 more source

Asymmetric canonical correlation analysis of Riemannian and high-dimensional data. [PDF]

Electron J Stat
Buenfil J, Lila E.
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Riemannian Manifold Learning

IEEE Transactions on Pattern Analysis and Machine Intelligence, 2008
Recently, manifold learning has been widely exploited in pattern recognition, data analysis, and machine learning. This paper presents a novel framework, called Riemannian manifold learning (RML), based on the assumption that the input high-dimensional data lie on an intrinsically low-dimensional Riemannian manifold.
Tong Lin 0002, Hongbin Zha
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EQUIMORPHISMS OF RIEMANNIAN MANIFOLDS

Mathematics of the USSR-Izvestiya, 1972
We establish a sufficient condition for stability of Riemannian manifolds, i.e. a property according to which every equimorphism of this manifold can be topologically extended to its absolute.
Efremovich, V. A., Loginov, Eh. A., Tikhomirova, E. S.   +2 more
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Meta‐Golden Riemannian manifolds

Mathematical Methods in the Applied Sciences, 2022
The logarithmic spiral in nature has been given as an example of the golden ratio until now. But recently, it has been shown that this is not true, and the logarithmic spiral has actually been shown to provide the so‐called Meta‐Golden‐Chi ratio. Inspiring from Meta‐Golden‐Chi ratio, we introduce almost Meta‐Golden manifolds, give a characterization ...
Fulya Şahin, Bayram Şahin
openaire   +3 more sources