HST observations of the LMC field around SN87A: distance determinations with Red Clump and Tip of the Red Giant Branch stars [PDF]
, 1999 We have used HST-WFPC2 multiband observations of a field around SN 1987A in the Large Magellanic Cloud to measure its distance from the Sun. The observations allowed us to carefully determine the interstellar extinction along the line of sight to a large
Bessel M. S. +10 more
core +2 more sources
Generalized Wasserstein distance and its application to transport equations with source [PDF]
, 2012 In this article, we generalize the Wasserstein distance to measures with different masses. We study the properties of such distance. In particular, we show that it metrizes weak convergence for tight sequences.
A. Figalli +17 more
core +4 more sources
SCM Enables Improved Single-Cell Clustering by Scoring Consensus Matrices
Mathematics, 2023 Single-cell clustering facilitates the identification of different cell types, especially the identification of rare cells. Preprocessing and dimensionality reduction are the two most commonly used data-processing methods and are very important for ...
Yilin Yu, Juntao Liu
doaj +1 more source
Trace-distance measure of coherence
, 2016 We show that trace distance measure of coherence is a strong monotone for all qubit and, so called, $X$ states. An expression for the trace distance coherence for all pure states and a semi definite program for arbitrary states is provided.
Lewenstein, Maciej +2 more
core +1 more source
Quantitative Isoperimetric Inequalities on the Real Line [PDF]
, 2011 In a recent paper A. Cianchi, N. Fusco, F. Maggi, and A. Pratelli have shown that, in the Gauss space, a set of given measure and almost minimal Gauss boundary measure is necessarily close to be a half-space.
de Castro, Yohann
core +3 more sources
Discriminative Distance-Based Network Indices with Application to Link Prediction [PDF]
, 2018 In large networks, using the length of shortest paths as the distance measure has shortcomings. A well-studied shortcoming is that extending it to disconnected graphs and directed graphs is controversial.
Abdessalem, Talel +2 more
core +1 more source
Characteristic Analysis of Judgment Debtors Based on Hesitant Fuzzy Linguistic Clustering Method
IEEE Access, 2021 In most law enforcement cases, judgment debtors have behaviors of evading execution in China, which seriously affects the authority of legal judgments and the judiciary’s credibility. Characteristics analysis of judgment debtors plays a vital role
Huirong Zhang, Zhenyu Zhang
doaj +1 more source
Consistent Estimation of Partition Markov Models
Entropy, 2017 The Partition Markov Model characterizes the process by a partition L of the state space, where the elements in each part of L share the same transition probability to an arbitrary element in the alphabet.
Jesús E. García +1 more
doaj +1 more source
Continuity bounds on the quantum relative entropy
, 2005 The quantum relative entropy is frequently used as a distance, or distinguishability measure between two quantum states. In this paper we study the relation between this measure and a number of other measures used for that purpose, including the trace ...
Bratteli O. +4 more
core +1 more source
A note on Gromov-Hausdorff-Prokhorov distance between (locally) compact measure spaces [PDF]
, 2012 We present an extension of the Gromov-Hausdorff metric on the set of compact metric spaces: the Gromov-Hausdorff-Prokhorov metric on the set of compact metric spaces endowed with a finite measure. We then extend it to the non-compact case by describing a
Abraham, Romain +2 more
core +6 more sources