Results 11 to 20 of about 9,682,722 (265)
Machine Learning With K-Means Dimensional Reduction for Predicting Survival Outcomes in Patients With Breast Cancer. [PDF]
Cancer Inform, 2018 Objective: Despite existing prognostic markers, breast cancer prognosis remains a difficult subject due to the complex relationships between many contributing factors and survival.
Zhao M, Tang Y, Kim H, Hasegawa K.
europepmc +2 more sources
From topology to generalised dimensional reduction [PDF]
, 1997 In the usual procedure for toroidal Kaluza-Klein reduction, all the higher-dimensional fields are taken to be independent of the coordinates on the internal space.
I.V. Lavrinenko
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Torsion in cohomology and dimensional reduction
Journal of High Energy Physics, 2023 Conventional wisdom dictates that ℤ N factors in the integral cohomology group H p (X n , ℤ) of a compact manifold X n cannot be computed via smooth p-forms.
Gonzalo F. Casas +2 more
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Dimensional-reduction anomaly in spherically symmetric spacetimes [PDF]
, 2000 In D-dimensional spacetimes which can be foliated by n-dimensional homogeneous subspaces, a quantum field can be decomposed in terms of modes on the subspaces, reducing the system to a collection of (D-n)-dimensional fields. This allows one to write bare
P. J. Sutton
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Dynamics of coset dimensional reduction [PDF]
Physical Review D, 2006 The evolution of multiple scalar fields in cosmology has been much studied, particularly when the potential is formed from a series of exponentials. For a certain subclass of such systems it is possible to get `assisted` behaviour, where the presence of multiple terms in the potential effectively makes it shallower than the individual terms indicate ...
Josef L. P. Karthauser +2 more
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Quantization as a dimensional reduction phenomenon [PDF]
AIP Conference Proceedings, 2006 Classical mechanics, in the operatorial formulation of Koopman and von Neumann, can be written also in a functional form. In this form two Grassmann partners of time make their natural appearance extending in this manner time to a three dimensional supermanifold. Quantization is then achieved by a process of dimensional reduction of this supermanifold.
GOZZI, ENNIO, MAURO D.
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Supersymmetry breaking by dimensional reduction over coset spaces [PDF]
, 2001 We study the dimensional reduction of a ten-dimensional supersymmetric E_8 gauge theory over six-dimensional coset spaces. We find that the coset space dimensional reduction over a symmetric coset space leaves the four dimensional gauge theory without ...
P. Manousselis, George Zoupanos
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Self-completeness and spontaneous dimensional reduction [PDF]
The European Physical Journal Plus, 2012 A viable quantum theory of gravity is one of the biggest challenges physicists are facing. We discuss the confluence of two highly expected features which might be instrumental in the quest of a finite and renormalizable quantum gravity —spontaneous ...
Jonas Mureika, P. Nicolini
semanticscholar +4 more sources
Dimensional reduction in quantum optics
Physical Review ResearchOne-dimensional quantum optical models usually rest on the intuition of large-scale separation or frozen dynamics associated with the different spatial dimensions, for example when studying quasi one-dimensional atomic dynamics, potentially resulting in ...
Jannik Ströhle, Richard Lopp
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Accuracy of a one-dimensional reduction of dynamical systems on networks. [PDF]
Physical Review E, 2021 Resilience is an ability of a system with which the system can adjust its activity to maintain its functionality when it is perturbed. To study resilience of dynamics on networks, Gao et al.
Prosenjit Kundu, H. Kori, N. Masuda
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