scholarly journals Sparse Estimation for Structural Variability

2010 ◽  
pp. 13-27
Author(s):  
Raghavendra Hosur ◽  
Rohit Singh ◽  
Bonnie Berger
Keyword(s):  
Sparse Estimation ◽  
Structural Variability

scholarly journals Sparse estimation for structural variability

2011 ◽  
Vol 6 (1) ◽  
pp. 12 ◽  
Author(s):  
Raghavendra Hosur ◽  
Rohit Singh ◽  
Bonnie Berger
Keyword(s):  
Sparse Estimation ◽  
Structural Variability

Structural variability and thermally-induced mesomorphisms in complexes of copper(II) with 4-halobenzoates, 2,2'-bipyridine and 4,4'-bis(dodecyl)-2,2'-bipyridine

2021 ◽  
pp. 1-18
Author(s):  
Norbani Abdullah ◽  
Lailatun N. Ozair ◽  
Habibah Samsudin ◽  
Graham J. Tizzard ◽  
Simon J. Coles ◽  
...  
Keyword(s):  
Thermally Induced ◽  
Structural Variability

Rationalizing the Structural Variability of the Exocyclic Amino Groups in Nucleobases and Their Metal Complexes: Cytosine and Adenine

2014 ◽  
Vol 20 (31) ◽  
pp. 9494-9499 ◽  
Author(s):  
Célia Fonseca Guerra ◽  
Pablo J. Sanz Miguel ◽  
Andrea Cebollada ◽  
F. Matthias Bickelhaupt ◽  
Bernhard Lippert
Keyword(s):  
Metal Complexes ◽  
Amino Groups ◽  
Structural Variability

Structural diversity of salts of terpyridine derivatives with europium(III) located in both, cation and anion, in comparison to molecular complexes

2020 ◽  
Vol 235 (8-9) ◽  
pp. 353-363
Author(s):  
Alexander E. Sedykh ◽  
Robin Bissert ◽  
Dirk G. Kurth ◽  
Klaus Müller-Buschbaum
Keyword(s):  
Thermal Properties ◽  
Crystal Packing ◽  
Side Reaction ◽  
Molecular Complexes ◽  
Structural Diversity ◽  
Organic Ligands ◽  
Ionic Complexes ◽  
Structural Variability ◽  
Dimeric Complexes ◽  
The Common

AbstractThree salts of the common composition [EuCl2(X-tpy)2][EuCl4(X-tpy)]·nMeCN were obtained from EuCl3·6H2O and the respective organic ligands (X-tpy = 4′-phenyl-2,2′:6′,2″-terpyridine ptpy, 4′-(pyridin-4-yl)-2,2′:6′,2″-terpyridine 4-pytpy, and 4′-(pyridin-3-yl)-2,2′:6′,2″-terpyridine 3-pytpy). These ionic complexes are examples of salts, in which both cation and anion contain Eu3+ with the same organic ligands and chlorine atoms coordinated. As side reaction, acetonitrile transforms into acetamide resulting in the crystallization of the complex [EuCl3(ptpy)(acetamide)] (4). Salts [EuCl2(ptpy)2][EuCl4(ptpy)]·2.34MeCN (1), [EuCl2(4-pytpy)2][EuCl4(4-pytpy)]·0.11MeCN (2), and [EuCl2(3-pytpy)2][EuCl4(3-pytpy)]·MeCN (3) crystallize in different structures (varying in space group and crystal packing) due to variation of the rear atom of the ligand to a coordinative site. Additionally, we show and compare structural variability through the dimeric complexes [Eu2Cl6(ptpy)2(N,N′-spacer)]·N,N′-spacer (5, 6, 7) obtained from [EuCl3(ptpy)(py)] by exchanging the end-on ligand pyridine with several bipyridines (4,4′-bipyridine bipy, 1,2-bis(4-pyridyl)ethane bpa, and 1,2-bis(2-pyridyl)ethylene bpe). In addition, photophysical (photoluminescence) and thermal properties are presented.

scholarly journals A Novel Detection Scheme with Multiple Observations for Sparse Signal Based on Likelihood Ratio Test with Sparse Estimation

2016 ◽  
Vol 2016 ◽  
pp. 1-14
Author(s):  
Hongbo Zhao ◽  
Lei Chen ◽  
Wenquan Feng ◽  
Chuan Lei
Keyword(s):  
Likelihood Ratio ◽  
Likelihood Ratio Test ◽  
Prior Information ◽  
Finite Size ◽  
Sparse Signals ◽  
Ratio Test ◽  
Sparse Estimation ◽  
Detection Scheme ◽  
Error Exponent ◽  
Multiple Observations

Recently, the problem of detecting unknown and arbitrary sparse signals has attracted much attention from researchers in various fields. However, there remains a peck of difficulties and challenges as the key information is only contained in a small fraction of the signal and due to the absence of prior information. In this paper, we consider a more general and practical scenario of multiple observations with no prior information except for the sparsity of the signal. A new detection scheme referred to as the likelihood ratio test with sparse estimation (LRT-SE) is presented. Under the Neyman-Pearson testing framework, LRT-SE estimates the unknown signal by employing thel1-minimization technique from compressive sensing theory. The detection performance of LRT-SE is preliminarily analyzed in terms of error probabilities in finite size and Chernoff consistency in high dimensional condition. The error exponent is introduced to describe the decay rate of the error probability as observations number grows. Finally, these properties of LRT-SE are demonstrated based on the experimental results of synthetic sparse signals and sparse signals from real satellite telemetry data. It could be concluded that the proposed detection scheme performs very close to the optimal detector.

Density Functional Theory and X-ray Analysis of the Structural Variability in η5,η5,η1-Tris(ring) Rare Earth/Actinide Tetramethylpyrrolyl Complexes, (C5Me5)2M(NC4Me4)

2012 ◽  
Vol 52 (7) ◽  
pp. 3565-3572 ◽  
Author(s):  
Christopher L. Webster ◽  
Jefferson E. Bates ◽  
Ming Fang ◽  
Joseph W. Ziller ◽  
Filipp Furche ◽  
...  
Keyword(s):  
Density Functional Theory ◽  
Rare Earth ◽  
Density Functional ◽  
Functional Theory ◽  
X Ray ◽  
Structural Variability
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