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Dimension reduction for compositional data with weights based on graph theory
2022A popular tool of dimension reduction in many statistical fields is principal component analysis (PCA). For the field of compositional data analysis (CoDA) weighting can be seen as a similar approach of dimension reduction as PCA. It is a desire to find those variables which explain a big part or even the majority of the variance of the whole data ...
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Graphs and Orders in Ramsey Theory and in Dimension Theory
1985The purpose of this paper is to present a concise and relatively self contained treatment of recent results linking partially ordered sets with topics more traditionally associated with graph theory and combinatorics: Ramsey theory and chromatic graph theory.
M. Paoli, W. T. Trotter, J. W. Walker
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Graph Parameters and Ramsey Theory
International Workshop on Combinatorial Algorithms, 2016Ramsey’s Theorem tells us that there are exactly two minimal hereditary classes containing graphs with arbitrarily many vertices: the class of complete graphs and the class of edgeless graphs.
V. Lozin
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Compilation of two-point and four-point graphs in field theory in noninteger dimensions
Journal of Mathematical Physics, 1994Two-point and four-point graphs appearing in a three-loop approximation in the field theory renormalization group scheme are calculated in general dimensions. Combining Feynman parameterization and direct integration loop integrals are represented in the form of the expressions, depending on the space dimension d as a parameter.
Holovatch, Yu., Krokhmal's'kii, T.
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Graph theory and piecewise smooth dynamical systems of arbitrary dimension
1999The authors present a method for finding all possible classes of periodic responses in a given piecewise smooth system and extend this approach to systems of arbitrary dimension. The authors apply their general approach to two particular problems, that is dynamics of the confined rocking block and a heat exchanger respectively.
Hogan, SJ, Homer, ME
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On The (k,t)-Metric Dimension Of Graphs
Computer/law journal, 2020Let $(X,d)$ be a metric space. A set $S\subseteq X$ is said to be a $k$-metric generator for $X$ if and only if for any pair of different points $u,v\in X$, there exist at least $k$ points $w_1,w_2, \ldots w_k\in S$ such that $d(u,w_i)\ne d(v,w_i ...
A. Estrada-Moreno +2 more
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Computing Basis and Dimension of Chloroquine and Hydroxychloroquine by Using Chemical Graph Theory
Polycyclic Aromatic Compounds, 2022Yogesh Singh +3 more
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Flexible Adaptive Graph Embedding for Semi-supervised Dimension Reduction
Information Fusion, 2023nie hebing, Muhammet Deveci
exaly
Journal of Chemical Theory and Computation, 2014
Yeonjoon Kim, Sunghwan Choi, W. Kim
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Yeonjoon Kim, Sunghwan Choi, W. Kim
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Label propagation with structured graph learning for semi-supervised dimension reduction
Knowledge-Based Systems, 2021Fei Wang, Lei Zhu, Liang Xie
exaly

