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Dimensionality reduction

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https://www.readbyqxmd.com/read/29351224/n-dimensional-lll-reduction-algorithm-with-pivoted-reflection
#1
Zhongliang Deng, Di Zhu, Lu Yin
The Lenstra-Lenstra-Lovász (LLL) lattice reduction algorithm and many of its variants have been widely used by cryptography, multiple-input-multiple-output (MIMO) communication systems and carrier phase positioning in global navigation satellite system (GNSS) to solve the integer least squares (ILS) problem. In this paper, we propose an n-dimensional LLL reduction algorithm (n-LLL), expanding the Lovász condition in LLL algorithm to n-dimensional space in order to obtain a further reduced basis. We also introduce pivoted Householder reflection into the algorithm to optimize the reduction time...
January 19, 2018: Sensors
https://www.readbyqxmd.com/read/29349623/the-association-between-toxoplasma-gondii-infection-and-hypertensive-disorders-in-t2dm-patients-a-case-control-study-in-the-han-chinese-population
#2
Yajing Han, Lihong Nie, Xiaohong Ye, Zixing Zhou, Shiqi Huang, Chengli Zeng, Congcong Guo, Meiling Ou, Di Xiao, Baohuan Zhang, Chuican Huang, Xingguang Ye, Chunxia Jing, Guang Yang
Type 2 diabetes mellitus (T2DM) is a major global health problem. The rate of infection with Toxoplasma gondii (T. gondii) is more than one-third of the total world population. The effects of T. gondii infection on the risk of diabetic complications and comorbidities are unclear. This study aims to determine the relationship between T. gondii infection and complications of T2DM in the Han Chinese population. We collected 1580 blood samples from T2DM patients and measured the levels of specific IgG antibodies against T...
January 18, 2018: Parasitology Research
https://www.readbyqxmd.com/read/29349538/capturing-pair-wise-epistatic-effects-associated-with-three-agronomic-traits-in-barley
#3
Yi Xu, Yajun Wu, Jixiang Wu
Genetic association mapping has been widely applied to determine genetic markers favorably associated with a trait of interest and provide information for marker-assisted selection. Many association mapping studies commonly focus on main effects due to intolerable computing intensity. This study aims to select several sets of DNA markers with potential epistasis to maximize genetic variations of some key agronomic traits in barley. By doing so, we integrated a MDR (multifactor dimensionality reduction) method with a forward variable selection approach...
January 18, 2018: Genetica
https://www.readbyqxmd.com/read/29348458/hic-5-regulates-fibrillar-adhesion-formation-to-control-tumor-extracellular-matrix-remodeling-through-interaction-with-tensin1
#4
Gregory J Goreczny, Ian J Forsythe, Christopher E Turner
The linearization of the stromal extracellular matrix (ECM) by cancer-associated fibroblasts (CAFs) facilitates tumor cell growth and metastasis. However, the mechanism by which the ECM is remodeled is not fully understood. Hic-5 (TGFβ1i1), a focal adhesion scaffold protein, has previously been reported to be crucial for stromal ECM deposition and remodeling in vivo. Herein we show that CAFs lacking Hic-5 exhibit a significant reduction in the ability to form fibrillar adhesions, a specialized form of focal adhesion that promote fibronectin fibrillogenesis...
January 19, 2018: Oncogene
https://www.readbyqxmd.com/read/29347752/noise-driven-current-reversal-and-stabilization-in-the-tilted-ratchet-potential-subject-to-tempered-stable-l%C3%A3-vy-noise
#5
Mathew L Zuparic, Alexander C Kalloniatis, Dale O Roberts
We consider motion of a particle in a one-dimensional tilted ratchet potential subject to two-sided tempered stable Lévy noise characterized by strength Ω, fractional index α, skew θ, and tempering λ. We derive analytic solutions to the corresponding Fokker-Planck Lévy equations for the probability density. Due to the periodicity of the potential, we carry out reduction to a compact domain and solve for the analog of steady-state solutions which we represent as wrapped probability density functions. By solving for the expected value of the current associated with the particle motion, we are able to determine thresholds for metastability of the system, namely when the particle stabilizes in a well of the potential and when the particle is in motion, for example as a consequence of the tilt of the potential...
November 2017: Physical Review. E
https://www.readbyqxmd.com/read/29347331/two-dimensional-collective-electron-magnetotransport-oscillations-and-chaos-in-a-semiconductor-superlattice
#6
L L Bonilla, M Carretero, A Segura
When quantized, traces of classically chaotic single-particle systems include eigenvalue statistics and scars in eigenfuntions. Since 2001, many theoretical and experimental works have argued that classically chaotic single-electron dynamics influences and controls collective electron transport. For transport in semiconductor superlattices under tilted magnetic and electric fields, these theories rely on a reduction to a one-dimensional self-consistent drift model. A two-dimensional theory based on self-consistent Boltzmann transport does not support that single-electron chaos influences collective transport...
December 2017: Physical Review. E
https://www.readbyqxmd.com/read/29347061/predictions-of-first-passage-times-in-sparse-discrete-fracture-networks-using-graph-based-reductions
#7
Jeffrey D Hyman, Aric Hagberg, Gowri Srinivasan, Jamaludin Mohd-Yusof, Hari Viswanathan
We present a graph-based methodology to reduce the computational cost of obtaining first passage times through sparse fracture networks. We derive graph representations of generic three-dimensional discrete fracture networks (DFNs) using the DFN topology and flow boundary conditions. Subgraphs corresponding to the union of the k shortest paths between the inflow and outflow boundaries are identified and transport on their equivalent subnetworks is compared to transport through the full network. The number of paths included in the subgraphs is based on the scaling behavior of the number of edges in the graph with the number of shortest paths...
July 2017: Physical Review. E
https://www.readbyqxmd.com/read/29346966/systematic-dimensionality-reduction-for-continuous-time-quantum-walks-of-interacting-fermions
#8
J A Izaac, J B Wang
To extend the continuous-time quantum walk (CTQW) to simulate P distinguishable particles on a graph G composed of N vertices, the Hamiltonian of the system is expanded to act on an N^{P}-dimensional Hilbert space, in effect, simulating the multiparticle CTQW on graph G via a single-particle CTQW propagating on the Cartesian graph product G^{□P}. The properties of the Cartesian graph product have been well studied, and classical simulation of multiparticle CTQWs are common in the literature. However, the above approach is generally applied as is when simulating indistinguishable particles, with the particle statistics then applied to the propagated N^{P} state vector to determine walker probabilities...
September 2017: Physical Review. E
https://www.readbyqxmd.com/read/29346943/whitham-modulation-theory-for-the-two-dimensional-benjamin-ono-equation
#9
Mark Ablowitz, Gino Biondini, Qiao Wang
Whitham modulation theory for the two-dimensional Benjamin-Ono (2DBO) equation is presented. A system of five quasilinear first-order partial differential equations is derived. The system describes modulations of the traveling wave solutions of the 2DBO equation. These equations are transformed to a singularity-free hydrodynamic-like system referred to here as the 2DBO-Whitham system. Exact reductions of this system are discussed, the formulation of initial value problems is considered, and the system is used to study the transverse stability of traveling wave solutions of the 2DBO equation...
September 2017: Physical Review. E
https://www.readbyqxmd.com/read/29346901/method-of-model-reduction-and-multifidelity-models-for-solute-transport-in-random-layered-porous-media
#10
Zhijie Xu, Alexandre M Tartakovsky
This work presents a method of model reduction that leads to models with three solutions of increasing fidelity (multifidelity models) for solute transport in a bounded layered porous media with random permeability. The model generalizes the Taylor-Aris dispersion theory to stochastic transport in random layered porous media with a known velocity covariance function. In the reduced model, we represent (random) concentration in terms of its cross-sectional average and a variation function. We derive a one-dimensional stochastic advection-dispersion-type equation for the average concentration and a stochastic Poisson equation for the variation function, as well as expressions for the effective velocity and dispersion coefficient...
September 2017: Physical Review. E
https://www.readbyqxmd.com/read/29346552/safety-profile-of-near-zero-fluoroscopy-atrial-fibrillation-ablation-with-non-fluoroscopic-catheter-visualization-experience-from-1000-consecutive-procedures
#11
Philipp Sommer, Livio Bertagnolli, Simon Kircher, Arash Arya, Andreas Bollmann, Sergio Richter, Sascha Rolf, Gerhard Hindricks
Aims: Efforts to reduce radiation exposure during catheter ablation procedures have included the use of various technological measures. Significant results have been achieved to the point where near lead-free procedures in routine clinical practice has become a realistic goal. The integration of MediGuide technology [non-fluoroscopic catheter visualization technology (NFCV)] and three-dimensional electroanatomical mapping is one of the methods developed in response to radiation reduction initiatives...
January 16, 2018: Europace: European Pacing, Arrhythmias, and Cardiac Electrophysiology
https://www.readbyqxmd.com/read/29346319/hierarchical-discriminant-analysis
#12
Di Lu, Chuntao Ding, Jinliang Xu, Shangguang Wang
The Internet of Things (IoT) generates lots of high-dimensional sensor intelligent data. The processing of high-dimensional data (e.g., data visualization and data classification) is very difficult, so it requires excellent subspace learning algorithms to learn a latent subspace to preserve the intrinsic structure of the high-dimensional data, and abandon the least useful information in the subsequent processing. In this context, many subspace learning algorithms have been presented. However, in the process of transforming the high-dimensional data into the low-dimensional space, the huge difference between the sum of inter-class distance and the sum of intra-class distance for distinct data may cause a bias problem...
January 18, 2018: Sensors
https://www.readbyqxmd.com/read/29346291/filaments-production-and-fused-deposition-modelling-of-abs-carbon-nanotubes-composites
#13
Sithiprumnea Dul, Luca Fambri, Alessandro Pegoretti
Composite acrylonitrile-butadiene-styrene (ABS)/carbon nanotubes (CNT) filaments at 1, 2, 4, 6 and 8 wt %, suitable for fused deposition modelling (FDM) were obtained by using a completely solvent-free process based on direct melt compounding and extrusion. The optimal CNT content in the filaments for FDM was found to be 6 wt %; for this composite, a detailed investigation of the thermal, mechanical and electrical properties was performed. Presence of CNT in ABS filaments and 3D-printed parts resulted in a significant enhancement of the tensile modulus and strength, accompanied by a reduction of the elongation at break...
January 18, 2018: Nanomaterials
https://www.readbyqxmd.com/read/29345469/a-large-family-of-centrosymmetric-and-chiral-f-element-bearing-iodate-selenates-exhibiting-coordination-number-and-dimensional-reductions
#14
Meiying Qie, Jian Lin, Fang Kong, Mark A Silver, Zenghui Yue, Xiaomei Wang, Linjuan Zhang, Hongliang Bao, Thomas E Albrecht-Schmitt, Jian-Qiang Wang
The exploration of phase formation in the f-element-bearing iodate selenate system has resulted in 14 novel rare-earth-containing iodate selenates, Ln(IO3)(SeO4) (Ln = La, Ce, Pr, Nd; LnISeO-1), Ln(IO3)(SeO4)(H2O) (Ln = Sm, Eu; LnISeO-2), and Ln(IO3)(SeO4)(H2O)2·H2O (Ln = Gd, Dy, Ho, Er, Tm, Yb, Lu, Y; LnISeO-3), as well as two new thorium iodate selenates, Th(OH)(IO3)(SeO4)(H2O) (ThISeO-1) and Th(IO3)2(SeO4) (ThISeO-2). LnISeO-3 and ThISeO-2 crystallize in the chiral space group P212121, while LnISeO-1, LnISeO-2, and ThISeO-1 crystallize in the centrosymmetric space group P21/c...
January 18, 2018: Inorganic Chemistry
https://www.readbyqxmd.com/read/29344937/ndufaf3-variants-that-disrupt-mitochondrial-complex-i-assembly-may-associate-with-cavitating-leukoencephalopathy
#15
A Ishiyama, K Muramatsu, S Uchino, C Sakai, Y Matsushima, N Makioka, T Ogata, E Suzuki, H Komaki, M Sasaki, M Mimaki, Y-I Goto, I Nishino
Genetic abnormalities in mitochondrial complex assembling factors are associated with leukoencephalopathy. We present a one-year-old girl with consciousness disturbance after a respiratory infection. Brain MRI revealed leukoencephalopathy with bilaterally symmetrical hyperintensity in the substantia nigra, medial thalamic nuclei, and basal nuclei, as well as cavities in the cerebral white matter and corpus callosum. Lactate levels in the spinal fluid were high, while magnetic resonance spectroscopy of the cerebral white matter and basal nuclei showed high peak lactate levels, suggesting mitochondrial dysfunction...
January 17, 2018: Clinical Genetics
https://www.readbyqxmd.com/read/29343780/waste-windshield-derived-silicon-carbon-nanocomposites-as-high-performance-lithium-ion-battery-anodes
#16
Mingu Choi, Jae-Chan Kim, Dong-Wan Kim
Silicon has emerged as the most promising high-capacity material for lithium-ion batteries. Waste glass can be a potential low cost and environmentally benign silica resource enabling production of nanosized silicon at the industry level. Windshields are generally made of laminated glass comprising two separate glass bonded together with a layer of polyvinyl butyral sandwiched between them. Herein, silicon/carbon nanocomposites are fabricated from windshields for the first time via magnesiothermic reduction and facile carbonization process using both waste glass and polyvinyl butyral as silica and carbon sources, respectively...
January 17, 2018: Scientific Reports
https://www.readbyqxmd.com/read/29343692/symmetric-decomposition-of-asymmetric-games
#17
Karl Tuyls, Julien Pérolat, Marc Lanctot, Georg Ostrovski, Rahul Savani, Joel Z Leibo, Toby Ord, Thore Graepel, Shane Legg
We introduce new theoretical insights into two-population asymmetric games allowing for an elegant symmetric decomposition into two single population symmetric games. Specifically, we show how an asymmetric bimatrix game (A,B) can be decomposed into its symmetric counterparts by envisioning and investigating the payoff tables (A and B) that constitute the asymmetric game, as two independent, single population, symmetric games. We reveal several surprising formal relationships between an asymmetric two-population game and its symmetric single population counterparts, which facilitate a convenient analysis of the original asymmetric game due to the dimensionality reduction of the decomposition...
January 17, 2018: Scientific Reports
https://www.readbyqxmd.com/read/29343665/molecular-characterization-of-gliadins-of-chinese-spring-wheat-in-relation-to-celiac-disease-elicitors
#18
Kanako Kawaura, Mayuko Miura, Yoko Kamei, Tatsuya M Ikeda, Yasunari Ogihara
The wheat seed storage proteins gliadin and glutenin are encoded by multigenes. Gliadins are further classified into α-, γ-, δ- and ω-gliadins. Genes encoding α-gliadins belong to a large multigene family, whose members are located on the homoeologous group 6 chromosomes at the Gli-2 loci. Genes encoding other gliadins are located on the homoeologous group 1 chromosomes at the Gli-1 loci. Two-dimensional polyacrylamide gel electrophoresis (2-DE) was used to characterize and profile the gliadins. The gliadins in aneuploid Chinese Spring wheat lines were then compared in this study...
January 17, 2018: Genes & Genetic Systems
https://www.readbyqxmd.com/read/29342399/information-theoretic-bounds-and-approximations-in-neural-population-coding
#19
Wentao Huang, Kechen Zhang
While Shannon's mutual information has widespread applications in many disciplines, for practical applications it is often difficult to calculate its value accurately for high-dimensional variables because of the curse of dimensionality. This article focuses on effective approximation methods for evaluating mutual information in the context of neural population coding. For large but finite neural populations, we derive several information-theoretic asymptotic bounds and approximation formulas that remain valid in high-dimensional spaces...
January 17, 2018: Neural Computation
https://www.readbyqxmd.com/read/29341611/moving-boundary-truncated-grid-method-for-wave-packet-dynamics
#20
Tsung-Yen Lee, Chia-Chun Chou
The moving boundary truncated grid method is developed to significantly reduce the number of grid points required for wave packet propagation. The time-dependent Schrodinger equation (TDSE) and the imaginary time Schrodinger equation (ITSE) are integrated using an adaptive algorithm which economizes on the number of grid points. This method employs a variable number of grid points in the Eulerian frame (grid points fixed in space) and adaptively defines the boundaries of the truncated grid. The truncated grid method is first applied to the time integration of the TDSE for the photodissociation dynamics of NOCl and a three-dimensional quantum barrier scattering problem...
January 17, 2018: Journal of Physical Chemistry. A
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