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Energy distance is a metric that measures the distance between the distributions of random vectors. Energy distance is zero if and only if the distributions are identical, thus it characterizes equality of distributions and provides a theoretical foundation for statistical inference and analysis.
Rizzo, Maria, Székely J., Gábor
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Bounds on the Distance Energy and the Distance Estrada Index of Strongly Quotient Graphs
The notion of strongly quotient graph (SQG) was introduced by Adiga et al. (2007). In this paper, we obtain some better results for the distance energy and the distance Estrada index of any connected strongly quotient graph (CSQG) as well as some ...
Ş. Burcu Bozkurt +2 more
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The distance energy of clique trees [PDF]
10 pages, 1 ...
Jin, Ya-Lei, Gu, Rui, Zhang, Xiao-Dong
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Distance probes of dark energy [PDF]
Report from the "Dark Energy and CMB" working group for the American Physical Society's Division of Particles and Fields long-term planning exercise ("Snowmass").
Kim, AG +31 more
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Bisector Energy and Few Distinct Distances [PDF]
We introduce the bisector energy of an $n$-point set $P$ in $\mathbb{R}^2$, defined as the number of quadruples $(a,b,c,d)$ from $P$ such that $a$ and $b$ determine the same perpendicular bisector as $c$ and $d$. If no line or circle contains $M(n)$ points of $P$, then we prove that the bisector energy is $O(M(n)^{\frac{2}{5}}n^{\frac{12}{5}+ε} + M(n)n^
Ben Lund 0002 +2 more
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Distance- or distance+energy-based criteria to identify redox-labile disulfide bonds.
Histograms showing the probability that each disulfide is reduced by TCEP according to the distance- (plain black bars) or distance+energy-based (dashed bars) criteria.
Sanj Raut (12054857) +4 more
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Most commercial entities depend on the availability, and reliability of electricity supply for their business ventures. Poor energy security, unreliability, and high cost of electricity characterize the utility grid of Ghana, forcing most of these ...
David Mensah Sackey +4 more
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The distance spectrum of two new operations of graphs [PDF]
Let $G$ be a connected graph with vertex set $V(G)=\{v_1, v_2,\ldots,v_n\}$. The distance matrix $D=D(G)$ of $G$ is defined so that its $(i,j)$-entry is equal to the distance $d_G(v_i,v_j)$ between the vertices $v_i$ and $v_j$ of $G$. The eigenvalues
Zikai Tang +3 more
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Generalization of the Energy Distance by Bernstein Functions [PDF]
We reprove the well known fact that the energy distance defines a metric on the space of Borel probability measures on a Hilbert space with finite first moment by a new approach, by analyzing the behavior of the Gaussian kernel on Hilbert spaces and a Maximum Mean Discrepancy analysis.
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Energy-Based Sliced Wasserstein Distance
Accepted to NeurIPS 2023, 30 pages, 8 figures, 6 ...
Khai Nguyen, Nhat Ho
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