cometadata/datacite-rtg-text-other-reclassification-records huggingface dataset:
MATHICSE Technical Report : Moment equations for the mixed formulation of the Hodge Laplacian with stochastic data
Creators: name: Bonizzoni, Francesca
name: Buffa, Annalisa
name: Nobile, Fabio
Publisher: name: Écublens, MATHICSE
Year: 2019

description: We study the mixed formulation of the stochastic Hodge-Laplace problem defined on a n-dimensional domain D ($n \geq 1$), with random forcing term. In particular, we focus on the magnetostatic problem and on the Darcy problem in the three dimensional case. We derive and analyze the moment equations, that is the deterministic equations solved by the m-th moment ($m \geq 1$) of the unique stochastic solution of the stochastic problem. We find stable tensor product finite element discretizations, both full and sparse, and provide optimal order of convergence estimates. In particular, we prove the inf-sup condition for sparse tensor product finite element spaces.
MATHICSE Technical Report : Analysis and computation of the elastic wave equation with random coefficients
Creators: name: Motamed, Mohammad
name: Nobile, Fabio
name: Tempone, Raúl
Publisher: name: Écublens, MATHICSE
Year: 2019

description: We analyze the stochastic initial-boundary value problem for the elastic wave equation with random coefficients and deterministic data. We propose a stochastic collocation method for computing statistical moments of the solution or statistics of some given quantities of interest. We study the convergence rate of the error in the stochastic collocation method. In particular, we show that, the rate of convergence depends on the regularity of the solution or the quantity of interest in the stochastic space, which is in turn related to the regularity of the deterministic data in the physical space and the type of the quantity of interest. We demonstrate that a fast rate of convergence is possible in two cases: for the elastic wave solutions with high regular data; and for some high regular quantities of interest even in the presence of low regular data. We perform numerical examples, including a simplified earthquake, which confirm the analysis and show that the collocation method is a valid alternative to the more traditionalMonte Carlo sampling method for problems with high stochastic regularity.
MATHICSE Technical Report : Discrete least squares polynomial approximation with random evaluations – application to parametric and stochastic elliptic PDES
Creators: name: Chkifa, Abdellah
name: Cohen, Albert
name: Migliorati, Giovanni
name: Nobile, Fabio
name: Tempone, Raúl
Publisher: name: Écublens, MATHICSE
Year: 2019

description: Motivated by the numerical treatment of parametric and stochastic PDEs, we analyze the least-squares method for polynomial approximation of multivariate func- tions based on random sampling according to a given probability measure. Recent work has shown that in the univariate case, the least-squares method is quasi-optimal in expec- tation in [8] and in probability in [20], under suitable conditions that relate the number of samples with respect to the dimension of the polynomial space. Here \quasi-optimal" means that the accuracy of the least-squares approximation is comparable with that of the best approximation in the given polynomial space. In this paper, we discuss the quasi- optimality of the polynomial least-squares method in arbitrary dimension. Our analysis applies to any arbitrary multivariate polynomial space (including tensor product, total degree or hyperbolic crosses), under the minimal requirement that its associated index set is downward closed. The optimality criterion only involves the relation between the number of samples and the dimension of the polynomial space, independently of the anisotropic shape and of the number of variables. We extend our results to the approx- imation of Hilbert space-valued functions in order to apply them to the approximation of parametric and stochastic elliptic PDEs. As a particular case, we discuss \inclusion type" elliptic PDE models, and derive an exponential convergence estimate for the least- squares method. Numerical results confirm our estimate, yet pointing out a gap between the condition necessary to achieve optimality in the theory, and the condition that in practice yields the optimal convergence rate.
MATHICSE Technical Report : Analytic regularity and collocation approximation for PDEs with random domain deformations
Creators: name: Castrillon-Candas, Julio E.
name: Nobile, Fabio
name: Tempone, Raúl F.
Publisher: name: Écublens, MATHICSE
Year: 2019

description: In this work we consider the problem of approximating the statistics of a given Quantity of Interest (QoI) that depends on the solution of a linear elliptic PDE defined over a random domain parameterized by N random variables. The elliptic problem is remapped on to a corresponding PDE with a fixed deterministic domain. We show that the solution can be analytically extended to a well defined region in CN with respect to the random variables. A sparse grid stochastic collocation method is then used to compute the mean and standard deviation of the QoI. Finally, convergence rates for the mean and variance of the QoI are derived and compared to those obtained in numerical experiments.
MATHICSE Technical Report : A quasi-optimal sparse grids procedure for groundwater flows
Creators: name: Beck, Joakim
name: Nobile, Fabio
name: Tamellini, Lorenzo
name: Tempone, Raúl
Publisher: name: Écublens, MATHICSE
Year: 2019

description: In this work we explore the extension of the quasi-optimal sparse grids method proposed in our previous work \On the optimal polynomial ap- proximation of stochastic PDEs by Galerkin and Collocation methods" to a Darcy problem where the permeability is modeled as a lognormal random field. We propose an explicit a-priori/a-posteriori procedure for the construc- tion of such quasi-optimal grid and show its effectivenenss on a numerical ex- ample. In this approach, the two main ingredients are an estimate of the decay of the Hermite coefficients of the solution and
Phylogenetic diversity, structure and diversification patterns of endemic plants along the elevational gradient in the Eastern Himalaya
Creators: name: Manish, Kumar
name: Maharaj K. Pandit
Publisher: name: Taylor & Francis
Year: 2018
Subjects: subject: Evolutionary Biology
subject: FOS: Biological sciences
subject: 59999 Environmental Sciences not elsewhere classified
subject: FOS: Earth and related environmental sciences
subject: Ecology
subject: 69999 Biological Sciences not elsewhere classified
subject: Developmental Biology
subject: Inorganic Chemistry
subject: FOS: Chemical sciences
subject: Plant Biology

description: Background: Several studies have documented the variation in species diversity patterns along elevational gradients in the Himalaya, but few have reported the evolutionary and biogeographic processes behind these patterns. Aims: To understand whether evolutionary history and phylogeny have any role in structuring plant species communities along an elevational gradient in the Sikkim Himalaya. Methods: We used data on endemic plant species occurrence from primary and secondary sources to construct family-level phylogenetic supertrees for different growth forms with the help of Phylomatic tool of Phylocom. These phylogenetic supertrees were used as a base for testing phylogenetic diversity (PD), niche conservatism, diversification time patterns and phylogenetic structure of various plant growth forms along an elevational gradient. Results: PD was the highest at mid-elevations for all growth forms and PD had a significant positive correlation with endemic species richness. Species at mid-elevations were dominated by the ancestral/primitive taxa. There was phylogenetic clustering at higher elevations and phylogenetic overdispersion at lower and mid-elevations for the majority of the growth forms. Conclusions: Time-for-speciation effect and niche conservatism along elevation (retention of niche-related ancestral elevational distribution over evolutionary time scale by species) together determine plant species diversity patterns in the Himalaya.
MATHICSE Technical Report : Perturbation analysis for the Darcy problem with log-normal permeability
Creators: name: Bonizzoni, Francesca
name: Nobile, Fabio
Publisher: name: Écublens, MATHICSE
Year: 2019

description: We study the single-phase flow in a saturated, bounded heterogeneous porous medium. We model the permeability as a log-normal random field. We perform a perturbation analysis, expanding the solution in Taylor series. The series is directly computable in the case of a random field parametrized by a finite number of random variables. On the other hand, in the case of an infinite dimensional random field, suitable equations satisfied by the derivatives of the stochastic solution can be derived. We give a theoretical upper bound for the norm of the residual of the Taylor expansion which predicts the divergence of the series as the polynomial degree goes to infinity. We provide a formula to compute the optimal degree for the Taylor polynomial and the maximum achievable accuracy of the perturbation approach. Our theoretical findings are confirmed by numerical experiments in the simple case where the permeability field is described using one random variable.
MAT-CNN-SOPC: Motionless Analysis of Traffic Using Convolutional Neural Networks on System-On-a-Programmable-Chip
Creators: name: Dey, Somdip
name: Kalliatakis, Grigorios
name: Saha, Sangeet
name: Singh, Amit Kumar
name: Ehsan, Shoaib
name: McDonald-Maier, Klaus
Publisher: name: arXiv
Year: 2018
Subjects: subject: Computer Vision and Pattern Recognition (cs.CV)
subject: FOS: Computer and information sciences
subject: I.4; I.2.1; C.1.4

description: Intelligent Transportation Systems (ITS) have become an important pillar in modern "smart city" framework which demands intelligent involvement of machines. Traffic load recognition can be categorized as an important and challenging issue for such systems. Recently, Convolutional Neural Network (CNN) models have drawn considerable amount of interest in many areas such as weather classification, human rights violation detection through images, due to its accurate prediction capabilities. This work tackles real-life traffic load recognition problem on System-On-a-Programmable-Chip (SOPC) platform and coin it as MAT-CNN- SOPC, which uses an intelligent re-training mechanism of the CNN with known environments. The proposed methodology is capable of enhancing the efficacy of the approach by 2.44x in comparison to the state-of-art and proven through experimental analysis. We have also introduced a mathematical equation, which is capable of quantifying the suitability of using different CNN models over the other for a particular application based implementation.
description: 6 pages, 3 figures, 2 tables
Manifest covariance and the Hamiltonian approach to mass gap in (2+1)-dimensional Yang-Mills theory
Creators: name: Karabali, D.
name: Kim, C.
name: Nair, V. P.
Publisher: name: arXiv
Year: 2000
Subjects: subject: High Energy Physics - Theory (hep-th)
subject: High Energy Physics - Phenomenology (hep-ph)
subject: FOS: Physical sciences

description: In earlier work we have given a Hamiltonian analysis of Yang-Mills theory in (2+1) dimensions showing how a mass gap could arise. In this paper, generalizing and covariantizing from the mass term in the Hamiltonian analysis, we obtain two manifestly covariant and gauge-invariant mass terms which can be used in a resummation of standard perturbation theory to study properties of the mass gap.
description: Sections 1, 4 modified, part of section 2 moved to appendix, 19 pages, LaTex
MATHICSE Technical Report : A continuation multilevel Monte Carlo algorithm
Creators: name: Collier, Nathan
name: Haji Ali, Abdul Lateef
name: Nobile, Fabio
name: Von Schwerin, Erik Gustaf Bogislaw
name: Tempone, Raúl
Publisher: name: Écublens, MATHICSE
Year: 2019

description: We propose a novel Continuation Multi Level Monte Carlo (CMLMC) algorithm for weak approximation of stochastic models that are described in terms of differential equations either driven by random measures or with random coefficients. The CMLMC algorithm solves the given approximation problem for a sequence of decreasing tolerances, ending with the desired one. CMLMC assumes discretization hierarchies that are defined a priori for each level and are geometrically refined across levels. The actual choice of computational work across levels is based on parametric models for the average cost per sample and the corresponding weak and strong errors. These parameters are calibrated using Bayesian estimation, taking particular notice of the deepest levels of the discretization hierarchy, where only few realizations are available to produce the estimates. The resulting CMLMC estimator exhibits a nontrivial splitting between bias and statistical contributions. We also show the asymptotic normality of the statistical error in the MLMC estimator and justify in this way our error estimate that allows prescribing both required accuracy and confidence in the final result. Numerical examples substantiate the above results and illustrate the corresponding computational savings.
EPHEMERAL PARTIALLY REPLICATED DATABASES
Creators: name: Ritesh Agrawal
name: Frazier, Peter I.
Publisher: name: figshare
Year: 2018
Subjects: subject: Artificial Intelligence and Image Processing
subject: FOS: Computer and information sciences

description: In today's analytics-driven world, fully replicated isolated databases provide much-needed database availability and compute scalability but at the cost of storage scalability, an issue that is addressed by partially replicated isolated databases. However, a partially replicated database that is optimal at the time of design is soon made inefficient by changing business needs, products & services it offers, datasets and query workloads. To this address this issue, we introduce the notion of migration cost as an additional factor that influences the design of a partially replicated databases. In this paper, we formalize the notion of migration cost and present a new cost-based objective function to partition and allocate data elements across available databases. Further, we discuss its implementation in the context of Uber and demonstrate its effectiveness based on a 10-week simulation study.
Hamiltonian reduction of the $U_{EM}(1)$ gauged three flavour WZW model
Creators: name: Paschalis, J. E.
name: Porfyriadis, P. I.
Publisher: name: arXiv
Year: 1995
Subjects: subject: High Energy Physics - Theory (hep-th)
subject: High Energy Physics - Phenomenology (hep-ph)
subject: FOS: Physical sciences

description: The three-flavour Wess-Zumino model coupled to electromagnetism is treated as a constraint system using the Faddeev-Jackiw method. Expanding into series of powers of the Goldstone boson fields and keeping terms up to second and third order we obtain Coulomb-gauge hamiltonian densities.
description: 11 pages, LaTex
Additional file 2 of Cost-utility analysis of different venous access devices in breast cancer patients: a decision-based analysis model
Creators: name: Chen, Na
name: Yang, Qing
name: Li, Yin Feng
name: Guo, Qin
name: Huang, De Yu
name: Peng, Jia Ling
Publisher: name: figshare
Year: 2023
Subjects: Medicine
Biological Sciences not elsewhere classified
Cancer
Science Policy

description: Supplementary Material 2
Twisting of X-ray isophotes in triaxial galaxies
Creators: name: Romanowsky, Aaron J.
name: Kochanek, Christopher S.
Publisher: name: arXiv
Year: 1997
Subjects: subject: Astrophysics (astro-ph)
subject: FOS: Physical sciences

description: We investigate X-ray isophote twists created by triaxiality differences between the luminous stellar distributions and the dark halos in elliptical galaxies. For a typically oblate luminous galaxy embedded in a more prolate halo formed by dissipationless collapse, the triaxiality difference of ΔT = ~0.7 leads to typical isophote twists of = ~16 deg +/- 19 deg at 3 stellar effective radii. In a model which includes baryonic dissipation the effect is smaller, with ΔT = ~0.3 and = ~5 deg +/- 8 deg. Thus, accurate measurements of X-ray isophote twists may be able to set constraints on the interactions between baryons and dissipationless dark matter during galaxy formation. The 30-deg X-ray isophote twist in the E4 galaxy NGC 720 cannot be reproduced by our model, suggesting an intrinsic misalignment between the halo and the stars rather than a projection effect.
description: 18 pages, with 9 inline Postscript figures, LaTeX, aaspp4.sty, submitted to ApJ; postscript paper w/figs (200 kb) also avaliable at http://cfa-www.harvard.edu/~romanow/int.email.v2.ps.gz
MATHICSE Technical Report : Convergence of quasi-optimal sparse grid approximation of Hilbert-valued functions: application to random elliptic PDEs
Creators: name: Nobile, Fabio
name: Tamellini, Lorenzo
name: Tempone, Raúl
Publisher: name: Écublens, MATHICSE
Year: 2019

description: In this work we provide a convergence analysis for the quasi-optimal version of the Stochastic Sparse Grid Collocation method we had presented in our previous work \On the optimal polynomial approximation of Stochastic PDEs by Galerkin and Collocation methods" [6]. Here the construction of a sparse grid is recast into a knapsack problem: a profit is assigned to each hi- erarchical surplus and only the most profitable ones are added to the sparse grid. The convergence rate of the sparse grid approximation error with respect to the number of points in the grid is then shown to depend on weighted summability properties of the sequence of profits. This argument is very gen- eral and can be applied to sparse grids built with any uni-variate family of points, both nested and non-nested. As an example, we apply such quasi-optimal sparse grid to the solution of a particular elliptic PDE with stochastic diffusion coefficients, namely the \inclusions problem": we detail the conver- gence estimate obtained in this case, using polynomial interpolation on either nested (Clenshaw{Curtis) or non-nested (Gauss{Legendre) abscissas, verify its sharpness numerically, and compare the performance of the resulting quasi- optimal grids with a few alternative sparse grids construction schemes recently proposed in literature.
The metron model. Towards a unified deterministic theory of fields and particles
Creators: name: Hasselmann, Klaus
Publisher: name: arXiv
Year: 1998
Subjects: subject: High Energy Physics - Theory (hep-th)
subject: FOS: Physical sciences

description: A conceptual summary is given of a deterministic unified field and particle theory (the metron model) developed in more mathematical detail in a four-part paper published in Physics Essays (1996/97). The model is developed from Einsteins vacuum gravitational equations, Ricci tensor $R_{LM}=0$, in a higher dimensional space. It is postulated that the equations support soliton-type solutions (metrons) which reproduce all the basic field equations of quantum field theory, including not only the Maxwell-Dirac-Einstein system, but also all fields and symmetries of the Standard Model. Bell's theorem on the non-existence of hidden-variable models of quantum phenomena is circumvented through the time-reversal symmetry of all interactions on microphysical scales. The model, when completed, should yield all particle properties and universal physical constants from first principles.
description: latex2e, 32 pages, 4 figures; presented at Prof. Wolfgang Kundt's 65'th birthday symposium at the University of Bonn, Germany
Issues of Heterotic (0,2) Compactifications
Creators: name: Blumenhagen, Ralph
Publisher: name: arXiv
Year: 1999
Subjects: subject: High Energy Physics - Theory (hep-th)
subject: FOS: Physical sciences

description: A brief review of some aspects of heterotic (0,2) compactifications in the framework of exactly solvable superconformal field theories and gauged linear sigma models is presented.
description: 4 pages, Latex, Talk to appear in proceedings of the 32nd International Symposium Ahrenshoop on the Theory of Elementary Particles, Buckow, Germany, 1-5 September 1998
PROMPTING LARGE LANGUAGE MODELS WITH FINE-GRAINED VISUAL RELATIONS FROM SCENE GRAPH FOR VISUAL QUESTION ANSWERING
Publisher: name: IEEE Signal Processing Society
Year: 2024

description: Visual Question Answering (VQA) is a task that requires models to comprehend both questions and images. An increasing number of works are leveraging the strong reasoning capabilities of Large Language Models (LLMs) to address VQA. These methods typically utilize image captions as visual text description to aid LLMs in comprehending images. However, these captions often overlooking the relations of fine-grained objects, which will limit the reasoning capability of LLMs. In this paper, we present PFVR, a modular framework that Prompts LLMs with Fine-grained Visual Relationships for VQA. PFVR primarily consists of an answer-guided generation module (AGG) and a questionguided filtering module (QGF). The two modules can combine to extract the fine-grained visual relations from scene graph, which will finally serve as crucial context for LLMs to comprehend the image. Extensive experiments conducted on the popular VQA dataset, GQA, confirm PFVR achieves state-of-the-art results compared to other strong VQA competitors, demonstrating its exceptional effectiveness.
Additional file 1 of A case report of long-delayed diagnosis of pseudorabies virus encephalitis with endophthalmitis: lessons from metagenomic next generation sequencing
Creators: name: Zhang, Yi
name: Fang, Lei
name: Zhou, Yi
name: Zhang, Yongqing
name: Liang, Bing
name: Yan, Chuanzhu
name: Li, Ling
Publisher: name: figshare
Year: 2023
Subjects: subject: Medicine
subject: Cell Biology
subject: Genetics
subject: FOS: Biological sciences
subject: Neuroscience
subject: Biotechnology
subject: Immunology
subject: FOS: Clinical medicine
subject: Mental Health
subject: Infectious Diseases
subject: FOS: Health sciences
subject: Virology
subject: Computational Biology

description: Additional file 1.
title: 02_1302
Creators: name: Wesley Baldwin, John
name: Baldwin, John W.
Publisher: name: NAKALA - https://nakala.fr (Huma-Num - CNRS)
publisherIdentifier: https://ror.org/04ces3204
publisherIdentifierScheme: ROR
Year: 2018
Subjects: subject: LaMOP
subject: Laboratoire de Médiévistique Occidentale de Paris

description: L'ensemble de ces notes ont été crée par John Baldwin lors d'une de ses premières périodes de résidence à Paris. Ces documents comprennent tous les magistri qu’il avait pu rencontrer dans ses sources. Aux XIIème et XIIIème siècles, les universités n'existant pas encore, le titre de magister s'il évoque certainement une compétence n'est pas rattaché de façon systématique au passage par les écoles. De surcroît, les magistris sont le plus souvent désignés par leur seul prénom. La lecture de ces données est donc difficile et suppose un long travail pour tenter d'identifier un individu auquel on pourrait rattacher plusieurs mentions. John Baldwin avait donc renoncé à utiliser ces données pour donner un prolongement à sa magnifique étude sur les gradués d'université et leur emploi par les Capétiens et les Plantagenêts. Néanmoins, il a conservé ces données et elles sont potentiellement très utile dans le cadre de Studium, comme le sont toutes les mentions dans les volumes des Fasti Ecclesiae Gallicanae de chanoines portant ce titre de magister sans autres précisions. L'ampleur des dépouillements rend ces données très utiles et nous devons une grande reconnaissance à John Baldwin pour avoir pris la peine de faire photocopier ses fiches et de nous les avoir transmises amicalement.
Les données ainsi que les images des fiches sont accessibles sur le site Internet à l'adresse suivante : http://studium-baldwin.lamop.fr/.
Les transcriptions des fiches ont été effectuées par des étudiants de Paris 1 Panthéon - Sorbonne mais elles n'ont pas été corrigées par la suite.
description: Relation: https://lamop.hypotheses.org/
MATHICSE Technical Report : Optimization of mesh hierarchies in multilevel Monte Carlo samplers
Creators: name: Haji Ali, Abdul Lateef
name: Nobile, Fabio
name: Von Schwerin, Erik Gustaf Bogislaw
name: Tempone, Raúl
Publisher: name: Écublens, MATHICSE
Year: 2019

description: We perform a general optimization of the parameters in the Multilevel Monte Carlo (MLMC) discretization hierarchy based on uniform discretization methods with general approximation orders and computational costs. Moreover, we discuss extensions to non-uniform discretizations based on a priori renements and the effect of imposing constraints on the largest and/or smallest mesh sizes. We optimize geometric and non-geometric hierarchies and compare them to each other, concluding that the geometric hierarchies, when optimized, are nearly optimal and have the same asymptotic computational complexity. We discuss how enforcing domain constraints on parameters of MLMC hierarchies affects the opti- mality of these hierarchies. These domain constraints include an upper and lower bound on the mesh size or enforcing that the number of samples and the number of discretization elements are integers. We also discuss the optimal tolerance splitting between the bias and the statistical error contributions and its asymp- totic behavior. To provide numerical grounds for our theoretical results, we apply these optimized hierarchies together with the Continuation MLMC Algorithm [13] that we recently developed, to several examples. These include the approxima- tion of three-dimensional elliptic partial differential equations with random inputs based on FEM with either direct or iterative solvers and It^o stochastic differential equations based on the Milstein scheme.
Total Cross Sections and Event Properties from Real to Virtual Photons
Creators: name: Friberg, Christer
name: Sjöstrand, Torbjörn
Publisher: name: arXiv
Year: 2000
Subjects: subject: High Energy Physics - Phenomenology (hep-ph)
subject: FOS: Physical sciences

description: A model for total cross sections with virtual photons is presented. In particular gamma*-p and gamma*-gamma* cross sections are considered. Our approach extends on a model for photoproduction, where the total cross section is subdivided into three distinct event classes: direct, VMD and anomalous. With increasing photon virtuality, the latter two decrease in importance. Instead Deep Inelastic Scattering dominates, with the direct class being the O(alpha_s) correction thereof. Hence, the model provides a smooth transition between the two regions. By the breakdown into different event classes, one may aim for a complete picture of all event properties.
description: 1+34 pages, LaTeX2e, 24 eps figures, submitted to J. High Energy Phys
Additional file 1 of Fine-tuning sugar content in strawberry
Creators: name: Xing, Sinian
name: Chen, Kunling
name: Zhu, Haocheng
name: Zhang, Rui
name: Zhang, Huawei
name: Li, Bingbing
name: Gao, Caixia
Publisher: name: figshare
Year: 2020
Subjects: subject: Genetics
subject: FOS: Biological sciences
subject: Evolutionary Biology
subject: Environmental Sciences not elsewhere classified
subject: Ecology
subject: Biological Sciences not elsewhere classified
subject: Developmental Biology
subject: Cancer

description: Additional file 1: Figure S1. Phylogenetic tree of the SlbZIP1, Nttbz17 and four strawberry bZIP genes. Figure S2. Detection of transgenic shoots by GFP fluorescence in the T0 generation. Figure S3. Sanger sequencing chromatograms of alleles 1–7. AL1-AL7, allele 1 - allele 7. Figure S4. Detection of transgene-free T1 mutants. Figure S5. Sanger sequencing chromatograms of representative T1 plants of all genotypes. Figure S6. Citric acid and malic acid contents of WT and homozygous mutants. Figure S7. Total sugar contents of the 35 novel genotypes  and WT in the T2 generation. Table S1. Genotypes of 66 mutant lines in the T0 generation. Table S2. Potential off-target sites. Table S3. Potential off-target analyze for homozygous mutants. Table S4. Sequences of primers used to construct vectors and identify mutation events.
MATHICSE Technical Report : On the dynamically orthogonal approximation of time dependent random PDEs
Creators: name: Musharbash, Eleonora
name: Nobile, Fabio
name: Zhou, Tao
Publisher: name: Écublens, MATHICSE
Year: 2019

description: In this work we discuss the Dynamically Orthogonal (DO) approximation of time dependent partial differential equations with random data. The approximate solution is expanded at each time instant on a time dependent orthonormal basis in the physical domain with fixed and small number of terms. Dynamic equations are written for the evolution of the basis as well as the evolution of the stochastic coefficients of the expansion. We analyze the case of a linear parabolic equation with random data and derive a theoretical bound for the approximation error of the S-terms DO solution by the corresponding S-terms best approximation, i.e. the truncated S-terms Karhunen-Loève expansion at each time instant, under the assumption that the latter is continuously differentiable in time. Properties of the DO approximations are analyzed on simple cases of deterministic equations with random initial data. Numerical tests are presented that confirm the theoretical bound and show potentials and limitations of the proposed approach.
Swift spectra of AT2018cow: A White Dwarf Tidal Disruption Event?
Creators: name: Kuin, N. Paul M.
name: Wu, Kinwah
name: Oates, Samantha
name: Lien, Amy
name: Emery, Sam
name: Kennea, Jamie
name: de Pasquale, Massimiliano
name: Han, Qin
name: Brown, Peter J.
name: Tohuvavohu, Aaron
name: Breeveld, Alice
name: Burrows, David N.
name: Cenko, S. Bradley
name: Campana, Sergio
name: Levan, Andrew
name: Markwardt, Craig
name: Osborne, Julian P.
name: Page, Mat J.
name: Page, Kim L.
name: Sbarufatti, Boris
name: Siegel, Michael
name: Troja, Eleonora
Publisher: name: arXiv
Year: 2018
Subjects: subject: High Energy Astrophysical Phenomena (astro-ph.HE)
subject: Solar and Stellar Astrophysics (astro-ph.SR)
subject: FOS: Physical sciences

description: The bright transient AT2018cow has been unlike any other known type of transient. Its high brightness, rapid rise and decay and initially nearly featureless spectrum are unprecedented and difficult to explain using models for similar burst sources. We present evidence for faint gamma-ray emission continuing for at least 8 days, and featureless spectra in the ultraviolet bands -- both unusual for eruptive sources. The X-ray variability of the source has a burst-like character. The UV-optical spectrum does not show any CNO line but is well described by a blackbody. We demonstrate that a model invoking the tidal disruption of a 0.1 - 0.4 Msun Helium White Dwarf (WD) by a 100,000 to one million solar mass Black Hole (BH) located in the outskirts of galaxy Z~137-068 could provide an explanation for most of the characteristics shown in the multi-wavelength observations. A blackbody-like emission is emitted from an opaque photosphere, formed by the debris of the WD disruption. Broad features showing up in the optical/infrared spectra in the early stage are probably velocity broadened lines produced in a transient high-velocity outward moving cocoon. The asymmetric optical/infrared lines that appeared at a later stage are emission from an atmospheric layer when it detached from thermal equilibrium with the photosphere, which undergoes more rapid cooling. The photosphere shrinks when its temperature drops, and the subsequent infall of the atmosphere produced asymmetric line profiles. Additionally, a non-thermal jet might be present, emitting X-rays in the 10-150 keV band.
A Dual Description of the Four Dimensional Non-Linear Sigma Model
Creators: name: Mohammedi, N.
name: Moss, R. T.
name: Simmons, R. D.
Publisher: name: arXiv
Year: 1995
Subjects: subject: High Energy Physics - Theory (hep-th)
subject: High Energy Physics - Phenomenology (hep-ph)
subject: FOS: Physical sciences

description: The dual of the four dimensional non-linear sigma model is constructed using techniques familiar to string theory. This construction necessitates the introduction of a rank two antisymmetric tensor field whose properties are examined. The physics of the dual theory and that of the original model are compared. As an illustration we study in detail the SU(2) chiral model. We find that the scattering amplitudes of the charged Goldstone bosons in the two theories are in complete agreement at the one loop level.
description: 17 pages, LaTeX2e, no figures, uses axodraw package for Feynman diagrams available by anonymous ftp at ftp://ftp.nikhef.nl/pub/form/axodraw
Strong coupling expansion and Seiberg-Witten-Whitham equations
Creators: name: Edelstein, Jose D.
name: Mas, Javier
Publisher: name: arXiv
Year: 1999
Subjects: subject: High Energy Physics - Theory (hep-th)
subject: FOS: Physical sciences

description: We study the Seiberg-Witten-Whitham equations in the strong coupling regime of the N=2 super Yang-Mills theory in the vicinity of the maximal singularities. In the case of SU(2) the Seiberg-Witten-Whitham equations fix completely the strong coupling expansion. For higher rank SU(N) they provide a set of non-trivial constraints on the form of this expansion. As an example, we study the off-diagonal couplings at the maximal point for which we propose an ansatz that fulfills all the equations.
description: 10 pages, LaTeX, no figures; v2: The expression for the off-diagonal couplings has been corrected and numerical checks have been extended. One reference added
MATHICSE Technical Report : Low-rank tensor approximation for high-order correlation functions of Gaussian random fields
Creators: name: Kressner, Daniel
name: Kumar, Rajesh
name: Nobile, Fabio
name: Tobler, Christine
Publisher: name: Écublens, MATHICSE
Year: 2019

description: Gaussian random fields are widely used as building blocks for modeling stochastic processes. This paper is concerned with the efficient representation of d-point correlations for such fields, which in turn enables the representation of more general stochastic processes that can be expressed as a function of one (or several) Gaussian random fields. Our representation consists of two ingredients. In the first step, we replace the random field by a truncated Karhunen-Loève expansion and analyze the resulting error. The parameters describing the d-point correlation can be arranged in a tensor, but its storage grows exponentially in d. To avoid this, the second step consists of approximating the tensor in a low-rank tensor format, the so called Tensor Train decomposition. By exploiting the particular structure of the tensor, an approximation algorithm is derived that does not need to form this tensor explicitly and allows to process correlations of order as high as d = 20. The resulting representation is very compact and its use is illustrated for elliptic partial differential equations with random Gaussian forcing terms.
Magnetic Monopoles and Topology of Yang-Mills Theory in Polyakov Gauge
Creators: name: Quandt, M.
name: Reinhardt, H.
name: Schafke, A.
Publisher: name: arXiv
Year: 1998
Subjects: subject: High Energy Physics - Theory (hep-th)
subject: FOS: Physical sciences

description: We express the Pontryagin index in Polyakov gauge completely in terms of magnetically charged gauge fixing defects, namely magnetic monopoles, lines, and domain walls. Open lines and domain walls are topologically equivalent to monopoles, which are the genuine defects. The emergence of non-genuine magnetically charged closed domain walls can be avoided by choosing the temporal gauge field smoothly. The Pontryagin index is then exclusively determined by the magnetic monopoles.
description: 14 pages, LaTeX2e, 8 eps-figures included using graphicx
Application of molecular docking and PSO–SVR intelligent approaches in antimalarial activity prediction of enantiomeric cycloguanil analogues
Creators: name: K. Inthajak
name: P. Toochinda
name: L. Lawtrakul
Publisher: name: Taylor & Francis
Year: 2018
Subjects: subject: Biophysics
subject: Biochemistry
subject: Medicine
subject: Cell Biology
subject: Pharmacology
subject: 39999 Chemical Sciences not elsewhere classified
subject: FOS: Chemical sciences
subject: Cancer

description: A series of antifolate compounds, i.e. 1-(4-chlorophenyl)-6,6-dimethyl-1,3,5-triazine-2,4-diamine, or cycloguanil analogues, have shown effective inhibiting properties against Plasmodium falciparum dihydrofolate reductase (PfDHFR). In this work, the stereoselectivity of PfDHFR to the R and S enantiomer of cycloguanil analogues was obtained from molecular docking calculations and integrated into QSAR study to obtain a more accurate prediction model. Results indicate that PfDHFR can bind to cycloguanil analogues in the R and S enantiomers. Cycloguanil analogues with alkyl chain substituent prefer the R enantiomer over S because they do not experience steric hindrance with the Phe58 side chain, while cycloguanil analogues with phenol chain substituent prefer the S enantiomer over R because they do not experience steric hindrance with Leu46 and Met55 side chains. Particle swarm optimization and support vector regression were used to select relevant descriptors and generate the effective prediction model, with a high statistical significance level (r2training = 0.941; r2test = 0.884).
DFT-based theoretical prediction of intrinsic viscosity of polymer solutions
Creators: name: L. Dang
name: S. Zhang
Publisher: name: Taylor & Francis
Year: 2018
Subjects: subject: Biophysics
subject: Biochemistry
subject: 39999 Chemical Sciences not elsewhere classified
subject: FOS: Chemical sciences
subject: 69999 Biological Sciences not elsewhere classified
subject: FOS: Biological sciences
subject: 19999 Mathematical Sciences not elsewhere classified
subject: FOS: Mathematics
subject: Plant Biology

description: A four-descriptor quantitative structure–property relationship model was constructed to predict 65 intrinsic viscosities [η] of polymer solutions. Four quantum chemical descriptors, the traceless quadrupole moment θ(R), the hydrogen bond or electrostatic attraction descriptor QH, the partition function QBOT(R) and the frontier orbital descriptor EHOMO, were calculated with density functional theory at the B3LYP/6-31G(d) level and used to develop the model by multivariate linear regression (MLR) analysis. The model possesses coefficients of determination r2 of 0.827 for the training set and 0.808 for the test set, and shows better statistical characteristics than the existing MLR models of intrinsic viscosities [η] of polymer–solvent combinations. Moreover, the four descriptors were used to develop a support vector machine model for [η] that possesses a coefficient of determination r2 of 0.911 for the whole data set.
Wandzura-Wilczek approximation for the twist-3 DVCS amplitude
Creators: name: Kivel, N.
name: Polyakov, M. V.
name: Schafer, A.
name: Teryaev, O. V.
Publisher: name: arXiv
Year: 2000
Subjects: subject: High Energy Physics - Phenomenology (hep-ph)
subject: FOS: Physical sciences

description: We present a derivation of Wandzura-Wilczek (WW) like relations for skewed parton distributions. It is demonstrated for photon-pion scattering that the skewed twist-3 parton distributions contributing to the DVCS amplitude have discontinuities at the points $x=\pmξ$ in the WW approximation. This may lead to a violation of factorisation for the twist-3 DVCS amplitude with transverse polarization of the virtual photon. We show, however, that the contribution of the divergencies to the scattering of a transversely polarized virtual photon affects DVCS observables only at order $1/Q^2$ and can be neglected at twist-3 accuracy. For the scattering of a longitudinally polarized photon the twist-3 amplitude is free of such divergencies.
description: 9 pages, no figures (To appear in Phys. Lett. B)
Inverted structure perovskite solar cells: A theoretical study
Creators: name: Sahu, Anurag
name: Dixit, Ambesh
Publisher: name: arXiv
Year: 2018
Subjects: subject: Applied Physics (physics.app-ph)
subject: FOS: Physical sciences

description: We analysed perovskite CH3NH3PbI3-xClx inverted planner structure solar cell with nickel oxide (NiO) and spiro-MeOTAD as hole conductors. This structure is free from electron transport layer. The thickness is optimized for NiO and spiro-MeOTAD hole conducting materials and the devices do not exhibit any significant variation for both hole transport materials. The back metal contact work function is varied for NiO hole conductor and observed that Ni and Co metals may be suitable back contacts for efficient carrier dynamics. The solar photovoltaic performance showed a linear decrease in efficiency with increasing temperature. The electron affinity and band gap of transparent conducting oxide and NiO layers are varied to understand their impact on conduction and valence band offsets. A range of suitable band gap and electron affinity values are found essential for efficient device performance.
description: 27 pages, 9 Figures, 3 tables. Submitted to Current Applied Physics Journal
MATHICSE Technical Report : Analysis of discrete least squares on multivariate polynomial spaces with evaluations at low-discrepancy point sets
Creators: name: Migliorati, Giovanni
name: Nobile, Fabio
Publisher: name: Écublens, MATHICSE
Year: 2019

description: We analyze the stability and accuracy of discrete least squares on multivariate poly- nomial spaces to approximate a given function depending on a multivariate random variable uniformly distributed on a hypercube. The polynomial approximation is calculated starting from pointwise noise-free evaluations of the target function at low- discrepancy point sets. We prove that the discrete least-squares approximation, in a multivariate anisotropic tensor product polynomial space and with evaluations at low-discrepancy point sets, is stable and accurate under the condition that the number of evaluations is proportional to the square of the dimension of the polynomial space, up to logarithmic factors. This result is analogous to those obtained in [7, 22, 19, 6] for discrete least squares with random point sets, however it holds with certainty instead of just with high probability. The result is further generalized to arbitrary polynomial spaces associated with downward closed multi-index sets, but with a more demanding (and probably nonoptimal) proportionality between the number of evaluation points and the dimension of the polynomial space.
title: ADCO, Boursier de Cîteaux : comptes (1489-1493) (11 H 1166), f. 00205
Creators: name: de la Côte-d'Or, Archives départementales
name: Archives Départementales De La Côte-D'Or
name: Petot, Frédérique
name: Projet CBMA
name: Petot, Frédéric
name: CBMA/CG21/F.PETOT/2019
Publisher: name: NAKALA - https://nakala.fr (Huma-Num - CNRS)
publisherIdentifier: https://ror.org/04ces3204
publisherIdentifierScheme: ROR
Year: 2020
Subjects: subject: Corpus Burgundiae Medii Aevi
subject: Chartes de la Bourgogne du Moyen Âge
subject: comptes
subject: LaMOP
subject: Laboratoire de Médiévistique Occidentale de Paris

description: Boursier de Cîteaux : comptes (1489-1493), Archives départementales de la Côte-d'Or, (11 H 1166). Numérisation en mode image.
description: Relation: http://www.cbma-project.eu/
description: Bibliographic citation: Boursier de Cîteaux : comptes (1489-1493), Archives départementales de la Côte-d'Or, (11 H 1166), f. 00205, in Projet CBMA - Corpus Burgundiae Medii Aevi \[Ressource en ligne\], https:// manuscrits.cbma-project.eu/
description: Provenance: https://www.geonames.org/3024876
description: Provenance: http://www.idref.fr/030974844/id
description: Provenance: https://catalogue.bnf.fr/ark:/12148/cb12228351v
description: Provenance: abbaye de Cîteaux
description: Provenance: http://www.wikidata.org/entity/Q843261
MATHICSE Technical Report : Tensor train approximation of moment equations for the log-normal Darcy problem
Creators: name: Bonizzoni, Francesca
name: Nobile, Fabio
name: Kressner, Daniel
Publisher: name: Écublens, MATHICSE
Year: 2019

description: We study the Darcy problem with log-normal permeability, modeling the fluid flow in a heterogeneous porous medium. A perturbation approach is adopted, expanding the solution in Taylor series around the nominal value of the permeability. The resulting recursive deterministic problem satisfied by the expected value of the stochastic solution, analytically derived and studied in [4], is discretized with a full tensor product finite element technique. To overcome the incurred curse of dimensionality the solution is sought in a low-rank tensor format, the so called Tensor Train format. We develop an algorithm for solving the recursive first moment problem approximately in the Tensor Train format and show its effectiveness with numerical examples.
MATHICSE Technical Report : A posteriori error estimations for elliptic partial differential equations with small uncertainties
Creators: name: Guignard, Diane Sylvie
name: Nobile, Fabio
name: Picasso, Marco
Publisher: name: Écublens, MATHICSE
Year: 2019

description: In this paper, a finite element error analysis is performed on a class of linear and nonlinear elliptic problems with small uncertain input. Using a perturbation approach, the exact (random) solution is expanded up to a certain order with respect to a parameter that controls the amount of randomness in the input and discretized by finite elements. We start by studying a diffusion (linear) model problem with a random coefficient characterized via a finite number of random variables. A priori and a posteriori estimates of the error between the exact and approximate solution are given in various norms, including goal-oriented error estimation. The analysis is then extended to a class of nonlinear problems. We finally illustrate the theoretical results through numerical examples, along with a comparison with the Stochastic Collocation method in terms of computational costs.
Violation of the quantum null-energy condition in a holographic wormhole and infrared effects
Creators: name: Ishibashi, Akihiro
name: Maeda, Kengo
name: Mefford, Eric
Publisher: name: arXiv
Year: 2018
Subjects: subject: High Energy Physics - Theory (hep-th)
subject: General Relativity and Quantum Cosmology (gr-qc)
subject: FOS: Physical sciences

description: We examine the quantum null energy condition (QNEC) for a $2+1$-dimensional conformal field theory (CFT) at strong coupling in the background of a wormhole spacetime by employing the AdS/CFT correspondence. First, we numerically construct a novel $3+1$-dimensional vacuum AdS black hole solution with non-trivial topology, which is dual to a wormhole geometry connecting two flat universes. Although the bulk null energy condition (NEC) is not violated, the NEC for the holographic stress-energy tensor is violated near the wormhole throat. Next, we investigate the entanglement entropy for a half-space anchored to the boundary wormhole throat. We propose a natural prescription for regularizing the IR divergent part of the entanglement entropy and show that the QNEC is violated at the throat. This is the first counterexample to the QNEC, indicating that IR effects are crucial.
description: 8 pages, 7 figures, published version
MATHICSE Technical Report : Comparison of Clenshaw-Curtis and Leja quasi-optimal sparse grids for the approximation of random PDEs
Creators: name: Nobile, Fabio
name: Tamellini, Lorenzo
name: Tempone, Raúl
Publisher: name: Écublens, MATHICSE
Year: 2019

description: In this work we compare numerically different families of nested quadrature points, i.e. the classic Clenshaw{Curtis and various kinds of Leja points, in the context of the quasi-optimal sparse grid approximation of random elliptic PDEs. Numerical evidence suggests that the performances of both families are essentially comparable within such framework.