Results 1 to 10 of about 525,523 (328)

Model Predictive Regulation on Manifolds in Euclidean Space [PDF]

Sensors, 2022
One of the crucial problems in control theory is the tracking of exogenous signals by controlled systems. In general, such exogenous signals are generated by exosystems.
Karmvir Singh Phogat, Dong Eui Chang
doaj   +2 more sources

A Union of Euclidean Metric Spaces is Euclidean [PDF]

Discrete Analysis, 2016
A Union of Euclidean Metric Spaces is Euclidean, Discrete Analysis 2016:14, 15pp. A major theme in metric geometry concerns conditions under which it is possible to embed one metric space into another with small distortion. More precisely, if $M_1$ and $
Konstantin Makarychev, Yury Makarychev
doaj   +3 more sources

Learning behavior aware features across spaces for improved 3D human motion prediction [PDF]

Scientific Reports
3D skeleton-based human motion prediction is an essential and challenging task for human-machine interactions, aiming to forecast future poses given a history of previous motions.
Ruiya Ji, Chengjie Lu, Zhao Huang, Jianqi Zhong   +3 more
doaj   +2 more sources

Beyond Euclid: an illustrated guide to modern machine learning with geometric, topological, and algebraic structures [PDF]

Machine Learning: Science and Technology
The enduring legacy of Euclidean geometry underpins classical machine learning, which, for decades, has been primarily developed for data lying in Euclidean space.
Mathilde Papillon, Sophia Sanborn, Johan Mathe, Louisa Cornelis, Abby Bertics, Domas Buracas, Hansen J Lillemark, Christian Shewmake, Fatih Dinc, Xavier Pennec, Nina Miolane   +10 more
doaj   +2 more sources

Characterizations of Framed Curves in Four-Dimensional Euclidean Space

Universal Journal of Mathematics and Applications, 2021
Framed curves in Euclidean space are used to investigate singular curves and are important for singularity theory. In this study, framed curves in four-dimensional Euclidean space are introduced and new results are obtained. The relation of framed curves
Bahar Doğan Yazıcı, Murat Tosun, Sıddıka Özkaldı Karakuş   +2 more
doaj   +1 more source

Twisted Hypersurfaces in Euclidean 5-Space

Mathematics, 2023
The twisted hypersurfaces x with the (0,0,0,0,1) rotating axis in five-dimensional Euclidean space E5 is considered. The fundamental forms, the Gauss map, and the shape operator of x are calculated.
Yanlin Li, Erhan Güler
doaj   +1 more source

Transformation of Non-Euclidean Space to Euclidean Space for Efficient Learning of Singular Vectors

IEEE Access, 2020
Singular value decomposition (SVD) is a popular technique to extract essential information by reducing the dimension of a feature set. SVD is able to analyze a vast matrix in spite of a relatively low computational cost.
Seunghyun Lee, Byung Cheol Song
doaj   +1 more source

Geometric Reinforcement Learning for Robotic Manipulation

IEEE Access, 2023
Reinforcement learning (RL) is a popular technique that allows an agent to learn by trial and error while interacting with a dynamic environment.
Naseem Alhousani, Matteo Saveriano, Ibrahim Sevinc, Talha Abdulkuddus, Hatice Kose, Fares J. Abu-Dakka   +5 more
doaj   +1 more source

Specific Emitter Identification Based on Ensemble Neural Network and Signal Graph

Applied Sciences, 2022
Specific emitter identification (SEI) is a technology for extracting fingerprint features from a signal and identifying the emitter. In this paper, the author proposes an SEI method based on ensemble neural networks (ENN) and signal graphs, with the ...
Chenjie Xing, Yuan Zhou, Yinan Peng, Jieke Hao, Shuoshi Li   +4 more
doaj   +1 more source

Reflection-Like Maps in High-Dimensional Euclidean Space

Mathematics, 2020
In this paper, we introduce reflection-like maps in n-dimensional Euclidean spaces, which are affinely conjugated to θ : ( x 1 , x 2 , … , x n ) → 1 x 1 , x 2 x 1 , … , x n x 1 .
Zhiyong Huang, Baokui Li
doaj   +1 more source