Miracle-dz/UniFAR-FTUs huggingface dataset:
Estimation Methods of the Long Memory Parameter: Monte Carlo Analysis and Application

Abstract Since the seminal paper of Granger & Joyeux (1980), the concept of a long memory has focused the attention of many statisticians and econometricians trying to model and measure the persistence of stationary processes. Many methods for estimating d, the long-range dependence parameter, have been suggested since the work of Hurst (1951). They can be summarized in three classes: the heuristic methods, the semi-parametric methods and the maximum likelihood methods. In this paper, we try by simulation, to verify the two main properties of [dcirc]: the consistency and the asymptotic normality. Hence, it is very important for practitioners to compare the performance of the various classes of estimators. The results indicate that only the semi-parametric and the maximum likelihood methods can give good estimators. They also suggest that the AR component of the ARFIMA (1, d, 0) process has an important impact on the properties of the different estimators and that the Whittle method is the best one, since it has the small mean squared error. We finally carry out an empirical application using the monthly seasonally adjusted US Inflation series, in order to illustrate the usefulness of the different estimation methods in the context of using real data.
Numerical and Field Measurement Investigation on Foundation Pit Excavation Blasting of Anchor in Suspension Bridge

The foundation pit of a suspension bridge project in the Three Gorges Reservoir area is investigated in this paper. The pit is located under an unstable rock mass and landslide body; its base lithology is mudstone. The bridge foundation pit project mainly adopts blasting excavation to accelerate construction progress. However, as a hazardous technique to engineering safety, the explosion vibration easily causes deterioration of the surrounding strata, thereby inducing slope instability and rock mass collapse. Besides, three major challenges should be considered: complex terrain conditions, difficulties in the blasting excavation of anchors, and the extremely high risk of construction. Therefore, comprehensive risk control measures using the methods of hierarchical excavation and minimum charge blasting are put forward. After the measures were verified to be feasible through finite element simulation, it was successfully applied to actual construction. In addition, this paper proposes using fiber concrete to reinforce slope retaining walls, and simulates the reinforced effect based on the research above. The results indicate that the risk control scheme is reasonable, which not only ensures the construction process but also guarantees the stability of the slope and unstable rock body. At the same time, the slope is reinforced with fiber concrete, which effectively decreases the protection wall thickness. Finally, the article can provide a valuable reference for similar engineering projects around the world.
Newly-Published Paper Recommendation With a Joint Multi-Relational Model

Reading newly-published papers in time is important for researchers since these papers provide the latest research findings. However, it is challenging to retrieve newly-published papers through common query-based search engines because the papers lacking sufficient citations and links are usually ranked too low in the search list. To this end, we design a time-aware joint model to infer users’ preference for the newly-published papers with the help of subsidiary relations of social and article linkages. The temporal preference of researchers for articles is jointly modeled with social and article relations by a group of matrices sharing common dimensions of researchers and articles. A joint multi-relational factorization algorithm is devised to approximate the latent factor matrices along with a temporal recommendation algorithm to predict the personalized new referential papers based on the factor matrices. The experimental results on real-world datasets show that the proposed model outperforms the state-of-the-art methods.
LETTER TO THE EDITOR: Scaling of H-mode edge pedestal pressure for a Type-I ELM regime in tokamaks

Scaling of H-mode edge pedestal pressure for a Type-I ELM regime based on a simple analytical formula (Hatae T et al 2001 Nucl. Fusion 41 285) can be significantly improved by introducing shaping factors into the scaling, which is motivated by a recent development of the MHD model for the critical pressure gradient (Snyder P B et al 2002 Phys. Plasmas 5 2037, Lao L L et al 2002 ITPA H-mode Edge Pedestal Physics Topical Group Meeting (San Diego)). The physics basis of these shaping factors is an enhancement of the critical pressure gradient determined by a high toroidal mode number, n, ideal ballooning mode through the effect of the magnetic well. On an increase in the magnetic well, peeling and ballooning modes decouple and the critical gradient is determined by the intermediate n mode, which enhances the critical gradient substantially. The improved scaling can reproduce the pedestal pressure reasonably well for ASDEX-U, JET and JT-60U Type-I ELMy data archived in the International Pedestal Database version 3.
Development and Optimization of a Two-View Model for Anamorphic Projections on Planar Surfaces

An anamorphic projection is an image that is intentionally distorted so that the original image can be seen only when looked at from a certain perspective, or using a special device, for example a mirror. Origins of anamorphosis can be traced back to the 16th century art, but beyond the aesthetic values, anamorphosis has found its uses in many practical settings, such as road signs, and keystone correction. Despite the widespread uses, there is a scarcity of detailed explanation of the mathematical principles behind anamorphosis, and there is hardly any computer software generating the anamorphic projections. The goal of this project is to apply computer vision techniques to create a program that automates the process of generating anamorphic projections. We use a projector-camera system to derive homography mappings between the projector and camera image, and propose a method for generating an optimal anamorphic image for multiple viewers using least squares.
Development of Bioactive Opuntia ficus-indica Edible Films Containing Probiotics as a Coating for Fresh-Cut Fruit

Bioactive edible films have received more attention in recent years as a method for food preservation with value-added functions. The aim of this study was to develop a bioactive edible film containing mucilage of cactus (Opuntia ficus-indica) and incorporating the probiotic strain Enterococcus faecium FM11-2 as an active component to promote consumer health benefits. Opuntia ficus-indica is rich in nutritional and bioactive compounds and the abundance of this cactus makes it attractive for food applications. Mucilage of Opuntia ficus-indica contained 0.47 ± 0.06 mg/g total sugar, 0.33 ± 0.06 mg AGE/mL phenolic content, 0.14 mg/ mL vitamin C, and possessed 35.51 ± 1.88% DPPH scavenging activity. The edible film that was developed exhibited the following characteristics: thickness of 0.02–0.11 mm, percent moisture content 0.19–0.24%, water solubility 30.66–59.41% and water vapor permeability of 0.15–1.5 g·mm/m2·min·kpa, while the range of the variation depended on the type of plasticizer used (either sorbitol or glycerol). The addition of sorbitol in the film provided the maximum mechanical strength based on the evaluation of tensile strength, Young’s modulus and elongation at break (44.71 ± 0.78 MPa, 113.22 ± 0.23 MPa and 39.47 ± 0.61%, respectively). The optimal formulation of the edible film, according to the physicochemical, physical and maintenance of fresh-cut apple slices, contained cactus mucilage, gelatin, glycerol and a probiotic. The incorporation of a probiotic into the cactus film created a bioactive edible film that could provide a health benefit. While improvement is needed to maintain the survival rate of the probiotic, this work presents an exciting method for furthering the study of food preservation with edible films.
Admittance-Based Stability Analysis of Resistance-Emulating Controlled Grid-Connected Voltage Source Rectifiers

Due to low cost and high reliability, resistance-emulating control (REC) is an emerging approach for grid-connected voltage source rectifiers (VSRs). However, small-signal stability issues of the grid-connected VSR with REC are currently rarely studied. In this article, the small-signal dq-admittance model of the grid-connected VSR with REC is first built and the small-signal stability superiority of the VSR with REC in weak-grid connection is revealed. First, a dq-admittance model of the grid-connected VSR with REC is established. The admittance characteristics of the grid-connected VSR with REC and the grid-connected VSR with traditional dual closed-loop control (DCC) are analyzed and compared. Then, the influence of short circuit ratio (SCR), voltage-loop bandwidth, and the output power on the stability of the VSR with REC and DCC is analyzed based on the generalized Nyquist criterion. The stability comparison results indicate that the VSR with REC has better adaptability to the weak grid and can achieve a higher bandwidth at the voltage loop. Besides, it is found that the DCC controlled VSR is more suitable for light-load operation than the REC controlled VSR. Finally, the correctness of the analysis is verified by experiments.
A DGFEM for nondivergence form elliptic equations with Cordes coefficients on curved domains

I. Smears and E. Süli designed and analyzed a discontinuous Galerkin finite element method for the approximation of solutions to elliptic partial differential equations in nondivergence form. The results were proven, based on the assumption that the computational domain was convex and polytopal. In this paper, we extend this framework, allowing for Lipschitz continuous domains with piecewise curved boundaries.
Physical Theory for Capillary Flow Phenomena

From the assumption that the microscopic behavior of the liquid in an unsaturated porous medium is controlled by the physical laws of surface tension and viscous flow, differential equations governing the macroscopic flow in such a medium are deduced. No special pore‐shape assumptions are required, but one topological approximation is needed; i.e., that neither isolated drops nor isolated bubbles occur. Several nonessential simplifying assumptions are used; i.e., that the macroscopic properties of the medium, the character of the liquid, and the pressure of the gas are independent of position, time, and direction. The macroscopic equations are obtained in a fully reduced form, permitting comparison between two media— or between two flow systems—that differ only by scaling factors.A novel feature of this calculation is its prediction that the liquid‐transmission and liquid‐capacity properties of an unsaturated medium will exhibit hysteresis in their dependences upon the liquid‐gas pressure differential, p.
Initial-boundary-value problems for the one-dimensional time-fractional diffusion equation

AbstractIn this paper, some initial-boundary-value problems for the time-fractional diffusion equation are first considered in open bounded n-dimensional domains. In particular, the maximum principle well-known for the PDEs of elliptic and parabolic types is extended for the time-fractional diffusion equation. In its turn, the maximum principle is used to show the uniqueness of solution to the initial-boundary-value problems for the time-fractional diffusion equation. The generalized solution in the sense of Vladimirov is then constructed in form of a Fourier series with respect to the eigenfunctions of a certain Sturm-Liouville eigenvalue problem. For the onedimensional time-fractional diffusion equation $$(D_t^\alpha u)(t) = \frac{\partial } {{\partial x}}\left( {p(x)\frac{{\partial u}} {{\partial x}}} \right) - q(x)u + F(x,t), x \in (0,l), t \in (0,T)$$ the generalized solution to the initial-boundary-value problem with Dirichlet boundary conditions is shown to be a solution in the classical sense. Properties of this solution are investigated including its smoothness and asymptotics for some special cases of the source function.
Recommending Profiles To Social Event Participation In Online Social Network Service Applications Using Deep Learning Techniques

Nowadays, organizing online Social events is growing especially in current pandemic situation due to corona. Thus social network services helps to organize the event oriented online social gathering. The events discussed on social networks can be associated with topics, locations, and time periods. Various literatures have employed clustering mechanism to group the profiles of the user of social networking applications. More research has been carried out in event based online network services as existing models leads to scalability and sparsity problems. Event-based online social networks are used to maintain interest-based groups with high relevancy rate, recommendation quality and predictive accuracy. In order to achieve the above goal, in this paper, we propose a novel framework named as Deep Influence Predict (DIP) which explores the features of Recurrent Neural Network in order identify the target or potential users through different patterns and behaviours of the profile on the social networking service applications. It learns multiple levels of representations and abstractions of the latent data through individual participation record. Further, it extracts the extrinsic and intrinsic properties of the profiles on their social connections and social effects. Specifically, it identifies the distinguishing social groups with different topics and categories as multifaceted interest in iterative process. Finally decision of recommendation for the event is integrated on outcomes of user behaviour model through personnel impact, social relation and equilibrium. Evaluation of the proposed model through various case studies has been implemented using hadoop architecture and validated across various measures such as accuracy on precision, Recall and f measure along scalability and Execution time.
Electronic Integrator with Immediate Digital Output

A method is presented for instantaneously obtaining a numerical value proportional to the area of a recurring voltage transient. The underlying principle is the summation of pulses from a generator whose repetition rate is a linear function of the instantaneous input voltage. The technique allows accurate gating to reduce the effects of unwanted signal and noise and has a high order of stability and linearity. The particular device actually constructed and tested was designed to measure the area of the roughly triangular voltage change, about 1 msec in duration, produced by ventral root nerve fibers activated in a monosynaptic reflex.
Some results on the Signature and Cubature of the Fractional Brownian motion for $H>\frac{1}{2}$

In this work we present different results concerning the signature and the cubature of fractional Brownian motion (fBm). The first result regards the rate of convergence of the expected signature of the linear piecewise approximation of the fBm to its exact value, for a value of the Hurst parameter $H\in(\frac{1}{2},1)$. We show that the rate of convergence is given by $2H$. We believe that this rate is sharp as it is consistent with the result of Ni and Xu, who showed that the sharp rate of convergence for the Brownian motion (i.e. fBm with $H=\frac{1}{2}$) is given by $1$. The second result regards the bound of the coefficient of the rate of convergence obtained in the first result. We obtain an uniform bound for the coefficient for the $2k$-th term of the signature of $\frac{\tilde{A}k(2k-1)}{(k-1)! 2^{k}}$, where $\tilde{A}$ is a finite constant independent of $k$. The third result regards the sharp decay rate of the expected signature of the fBm. We obtain a sharp bound for the $2k$-th term of the expected signature of $\frac{1}{k! 2^{k}}$. The last results concern the cubature method for the fBm for $H>\frac{1}{2}$. In particular, we develop the framework of the cubature method for fBm, provide a bound for the approximation error in the general case, and obtain the cubature formula for the fBm in a particular setting. These results extend the work of Lyons and Victoir, who focused on the Brownian motion case.
CCN Spectral Modality Compared to Droplet Spectra and Drizzle in RICO Cumuli

Rain in Cumulus over the Ocean (RICO) warm cloud microphysics and drizzle comparisons with cloud condensation nuclei (CCN) spectra displayed similarities with earlier analyses of low‐altitude Ice in Clouds Experiment‐Tropical (ICE‐T) warm maritime cumuli. These comparisons of high‐resolution CCN spectra measured at 100 m altitude with cloud and drizzle measurements were consistent within three altitude bands between 600 and 3,700 m. For both projects, clouds associated with bimodal CCN (accumulation mode dominant) displayed more drizzle than clouds associated with unimodal CCN (Aitken mode dominant). Higher concentrations in clouds associated with bimodal CCN than clouds associated with unimodal CCN extended throughout the ranges of 3 drizzle drop probes (260X, 2DC, and 2DP) between 60 and 5,200 μm diameter. Ratios of drizzle drop concentrations in clouds associated with bimodal CCN to those in clouds associated with unimodal CCN were as much as an order of magnitude. Confirmation of a relationship between CCN modality and cloud droplet spectra found in ICE‐T was often obscured in RICO by drizzle effects on droplet spectra. There was also an association between cloudiness and CCN bimodality that is consistent with clouds as a source of accumulation mode particles. These consistent results now found in two warm maritime small low‐altitude cumulus cloud experiments show that CCN bimodality could inhibit the indirect aerosol effect (IAE), especially second IAE (cloud lifetime) in warm maritime cumuli. These RICO and ICE‐T observations in maritime cumuli are opposite of the results in the Marine Stratus/Stratocumulus Experiment, which indicated that CCN bimodality could enhance both IAE.
Stability of the inverse resonance problem on the line

In the absence of a half-bound state, a compactly supported potential of a Schrödinger operator on the line is determined up to a translation by the zeros and poles of the meromorphically continued left (or right) reflection coefficient. The poles are the eigenvalues and resonances, while the zeros also are physically relevant. We prove that all compactly supported potentials (without half-bound states) that have reflection coefficients whose zeros and poles are ε-close in some disc centered at the origin are also close (in a suitable sense). In addition, we prove the stability of small perturbations of the zero potential (which has a half-bound state) from only the eigenvalues and resonances of the perturbation.
Computations in formal symplectic geometry and characteristic classes of moduli spaces

We make explicit computations in the formal symplectic geometry of Kontsevich and determine the Euler characteristics of the three cases, namely commutative, Lie and associative ones, up to certain weights.From these, we obtain some non-triviality results in each case. In particular, we determine the integral Euler characteristics of the outer automorphism groups Out F_n of free groups for all n <= 10 and prove the existence of plenty of rational cohomology classes of odd degrees. We also clarify the relationship of the commutative graph homology with finite type invariants of homology 3-spheres as well as the leaf cohomology classes for transversely symplectic foliations. Furthermore we prove the existence of several new non-trivalent graph homology classes of odd degrees. Based on these computations, we propose a few conjectures and problems on the graph homology and the characteristic classes of the moduli spaces of graphs as well as curves.
Low Frequency Excitation of a Lossy Dielectric Filled Cavity Resonator Using QS-FDTD Method

Cavity resonators are useful devices of microwave and optical systems. Behavior of the cavity resonators at their resonance frequencies is a very well-known topic. However, at low frequencies below the first resonance frequency, there are very few studies for the cavity resonators. To the best of our knowledge, there is no full wave analytical or numerical solution to a lossy dielectric filled cavity resonator excited below its first resonance frequency. In this study, first, a field distribution of an empty rectangular cavity resonator excited below the frequencies of the first resonance is calculated by using finite difference time domain (FDTD) method. The results are validated with an analytical solution. Afterwards, the field distribution of the same cavity resonator filled with the lossy dielectric is calculated by using a Quasi-Static FDTD (QS-FDTD) method below the frequency of the first resonance.
Optimal EEG Data Segmentation in LSTM Networks for Learning Neural Dynamics of ADHD

Attention deficit/hyperactivity disorder (ADHD) is a condition that generally affects the neurodevelopment of children. Both electroencephalography (EEG) and continuous performance tests (CPT) can be used not only to provide objective identification ADHD, but also to directly observe and quantify the performance of subject task performance. In this study, we propose an optimized segmentation for learning EEG time-series information with long short-term memory (LSTM) networks used to differentiate ADHD and neurotypical (NT) children. A total of 30 NT children and 30 children diagnosed with ADHD participated in CPT while simultaneously monitored with EEG. The experimental results show that, whether it is a single feature of beta power at a the O2 electrode location or all the features, the optimal data segment is the same, an EEG segment containing the data from 30 seconds of eyes-open resting and 30 seconds of CPT task. This produced improved performance for discriminating the differences in EEG between the two groups, thus assisting in the diagnosis of ADHD.
Lattice Site of Iron in LiNbO3(Fe3+) by the PIXE/Channelling Technique

The lattice location of Fe in LiNbO3 single crystals has been investigated by PIXE-channelling techniques. For the first time, it has unambiguously shown that Fe (mostly as Fe3+) lies at or near the Li-site, although a small fraction sitting at the Nb or intrinsic vacant sites cannot be ruled out.
Virtual Element Method: an equilibrium-based stress recovery procedure

Within the framework of the displacement-based Virtual Element Method (VEM) for plane elasticity a significant problem is represented by an accurate evaluation of the stress field. In particular, in the classical VEM formulation, a suitable operator which maps to the strain field is introduced in order to allow the calculation of the stiffness matrix. The stress field is then computed using that strian field, by using the constitutive law. Considering for example a first-order formulation for a homogeneous material, strains are locally mapped onto constant functions, and stresses are accordingly piecewise constant. However, the virtual displacements might engender more complex strain fields for polygons which are not triangles. In this paper, Recovery by Compatibility in Patches is used in order to mitigate such an effect and, thus, enhance the accuracy of the recovered stress field. The procedure is simple, efficient and can be readily implemented in existing codes. Numerical tests confirm the soundness of the proposed approach.