Miracle-dz/UniFAR-FTUs huggingface dataset:
The first exit problem of reaction-diffusion equations
for small multiplicative Lévy noise

This article studies the dynamics of a nonlinear dissipative reaction-diffusion equation with well-separated stable states which is perturbed by infinite-dimensional multiplicative L\'evy noise with a regularly varying component at intensity $\epsilon>0$. The main results establish the precise asymptotics of the first exit times and locus of the solution $X^\epsilon$ from the domain of attraction of a deterministic stable state, in the limit as $\epsilon\rightarrow 0$. In contrast to the exponential growth for respective Gaussian perturbations the exit times grow essentially as a power function of the noise intensity as $\epsilon \rightarrow 0$ with the exponent given as the tail index $-\alpha$, $\alpha>0,$ of the L\'evy measure, analogously to the case of additive noise in Debussche et al (2013). In this article we substantially improve their quadratic estimate of the small jump dynamics and derive a new exponential estimate of the stochastic convolution for stochastic L\'evy integrals with bounded jumps based on the recent pathwise Burkholder-Davis-Gundy inequality by Siorpaes (2018). This allows to cover perturbations with general tail index $\alpha>0$, multiplicative noise and perturbations of the linear heat equation. In addition, our convergence results are probabilistically strongest possible. Finally, we infer the metastable convergence of the process on the common time scale $t/\epsilon^\alpha$ to a Markov chain switching between the stable states of the deterministic dynamical system.
An Overview of GANet - Guided Aggregation Net for End-to-end Stereo Matching

Guided Aggregation Net for End-to-end Stereo Matching (GANet) is a stereo matching method that uses Deep Neural Networks (DNN) to compute a disparity map from a pair of images of a scene. As other classic and DNN stereo methods, it follows the traditional stereo steps: dense features are extracted from both images, the cost of matching the features at different disparities is organized in a Cost Volume (CV) which is regularized by aggregation and local filtering and finally a map with minimal cost is derived from the CV. In GANet, the aggregation of the CV is done by a Semi-Global Guided Aggregation layer (SGA) which implements a differentiable approximation of the well known Semi-Global Matching (SGM) algorithm. SGA is followed by a Local Guided Aggregation layer (LGA) that performs a local filtering. SGA and LGA weights are generated by an auxiliary guidance subnet fed with the original reference image and its extracted features. This article presents an overview of GANet. An online demo, running on CPU, is made available.
Achieving high gain using Er-Yb codoped waveguide/fiber optical parametric hybrid amplifier for dense wavelength division multiplexed system

Abstract. A hybrid optical amplifier is proposed using a combination of Er-Yb codoped waveguide amplifier (EYDWA) and fiber optical parametric amplifier (FOPA). The scheme is investigated for 100 × 40 Gb / s dense wavelength division multiplexed (DWDM) system at 0.2-nm channel spacing. The parameters are optimized to achieve a flat gain of >30.6 dB, with a gain ripple of 2.67 dB. This is obtained over a wavelength range of 1542 to 1562 nm at −10-dBm optimum input power per channel, without using any costly gain flattening scheme. For higher input powers up to 10 dBm, an increase in gain ripple from 2.67 to 6.13 dB is observed. The gain ripple of 2.67 dB of the proposed EYDWA–dual pump FOPA configuration is also much better than 10.32 dB for the hybrid EYDWA–single pump FOPA. The obtained high and flat gain, along with the low noise figure, confirms the usefulness of the proposed amplifier for applications in long-haul DWDM systems.
Gait motion analysis using optical and inertial sensor fusion to design human kinetic energy harvesting systems

Biomechanical energy harvesting converting kinetic energy from human motion into electrical energy appeared as a promising technology for powering mobile devices. The optimization of these energy harvesting systems requires knowledge about human gait as an energy source to maximize the power output. Therefore, motions during walking and running have to be evaluated to determine the amount of available and convertible energy in several body parts. In case of vibration energy harvesting systems, their efficiency is also dependent on the adjustment of the systems' frequency and dimensions and frequency characteristics to the driving force. Thus, this paper presents a solution fusing optical sensors and inertial measurement units (IMU) to analyze human locomotion. High-speed cameras are used to track the positions and angles of the synchronized inertial body sensors in an earth frame while the IMUs acquire gyroscope, accelerometer and magnetometer data. This data is used to calculate linear acceleration and actual orientation represented in quaternions applying an algorithm by Madgwick. The orientation gives major information about the effect of the driving force on moving masses of the system as energy harvesting devices are often designed as single-axis generators. Furthermore, frequency responses of acceleration data from different body positions while gait cycles are analyzed. Finally, prospects and issues converting acceleration into velocity and position data and vice versa are discussed.
Therapeutic Effect of Resveratrol and Gamma-GlutamylCysteine in Azathioprine Drug-Induced Hepatotoxicity

The purpose of the current literature is to examine the protective properties of resveratrol (RSV) and gamma-glutamylcysteine (γ-GC) against hepatic injury induced by Azathioprine (AZA) that may have a favorable impact on using resveratrol and/ or gamma-glutamylcysteine with immunosuppressant drugs therapy. The study duration was 4 weeks; fifty Male Wister Albino Rats were classified into 5 groups: control group: and rats were orally treated with normal saline. AZA group, Rats were taken AZA orally at 10 mg/kg. RSV group, rats had oral administration of AZA along with IP injection of RSV; 8ml/Kg, GC group, rats had oral administration of AZA and γ-GC; 100mg/Kg, combination group, rats had oral administration of AZA with IP injection of RSV; 8ml/Kg and γ-GC; 100mg/Kg after 2 h post-injection for 4 weeks. The results indicate that AZA treatment increases alanine aminotransferase (ALT) and aspartate aminotransferase (AST) levels, decreases antioxidant enzymes catalase (CAT) and superoxide dismutase (SOD) and depleted hepatic microRNA-122 (miR-122) referred to hepatic injury. Administration of RSV/ γ-GC separately or together modulates levels of liver enzymes and protective hepatic tissue. γ-GC reduced the degree of histological hepatic damage in rats. The results reveal that co-administration of RSV and/or γ-GC can reduce immunosuppressant drug hepatotoxicity.
THE CATEGORY OF FINITE CHOW-WITT CORRESPONDENCES

We introduce the category of finite Chow-Witt correspondences over a perfect field k with char(k) 6 2. We then define for any essentially smooth scheme X and integers p;q 2 Z generalized motivic cohomology groups H p;q (X; ~ Z). We finally prove that H n;n (Spec(L); ~ Z) = K MW (L) for any finitely generated field extension L=k and any n 2 Z.
In-depth study of intra-Stark spectroscopy in the x-ray range in relativistic laser–plasma interactions

Intra-Stark spectroscopy (ISS) is the spectroscopy within the quasistatic Stark profile of a spectral line. The present paper advances the ISS-based study of the relativistic laser–plasma interaction from our previous paper (Oks et al 2017 Opt. Express 25 1958). By improving the experimental conditions and the diagnostics, it provides an in-depth spectroscopic study of the simultaneous production of the Langmuir waves and of the ion acoustic turbulence at the surface of the relativistic critical density. It demonstrates a reliable reproducibility of the Langmuir-wave-induced dips at the same locations in the experimental profiles of Si XIV Ly-beta line, as well as of the deduced parameters (fields) of the Langmuir waves and ion acoustic turbulence in several individual 1 ps laser pulses and of the peak irradiances of 1–3 × 1020 W cm−2. Besides, this study employs for the first time the most rigorous condition of the dynamic resonance, on which the ISS phenomenon is based, compared to all previous studies in all kinds of plasmas in a wide range of electron densities. It shows how different interplays between the Langmuir wave field and the field of the ion acoustic turbulence lead to distinct spectral line profiles, including the disappearance of the Langmuir-wave-induced dips.
Clinical evidence of neoadjuvant immunotherapy for resectable locally advanced esophageal carcinoma: A systematic review

Background: Immune checkpoint inhibitors (ICIs) as the neoadjuvant therapy for resectable locally advanced esophageal carcinoma (rlaEC) remains challenging given the poor reports of efficacy and safety. This study aimed to summarize reliable evidence for the preoperative neoadjuvant immunotherapy of rlaEC by analyzing all the published clinical trials on the ICIs as the neoadjuvant therapy for rlaEC. Methods: PubMed, Cochrane Library, Embase and ClinicalTrials.gov were searched from inception until June 1st, 2023, for available reports to perform a meta-analysis. The primary endpoints were R0 resection, objective response rate (ORR), pathological complete response (pCR) and major pathological response (MPR), as well as treatment-related adverse events (AEs) and postoperative complications. The Stata 14.0 software was employed to estimate pooled effect size. Results: A total of 18 single-arm clinical trials involving 625 patients met the inclusion criteria. Meta-analysis showed that, among these patients with rlaEC, the pooled R0 resection rate was 97.0% (95% CI: 94.0% – 99.0%), the pooled ORR was 70.0% (95% CI: 64.0% – 76.0%), the pooled pCR and MPR rate were 34.0% (95 % CI: 29.0% – 39.0%) and 56.0% (95% CI: 47.0% – 65.0%) respectively. The incidence of main treatment-related AEs and postoperative complications was about 6% – 45% and 8% – 19% respectively. Conclusions: Patients with rlaEC were tolerated to neoadjuvant immunotherapy and it might be beneficial to improve efficacy. But this meta-analysis had limitations and the conclusions still needed to be validated by more rigorous phase III randomized controlled clinical trials.
Keystone species aﬀect the relationship between soil microbial diversity and ecosystem functioning under a subtropical land use change

Soil microbial diversity is a key control over soil element cycling and ecosystem functioning, but how the keystone species regulate the association between soil microbial diversity and ecosystem functioning (particularly, the whole-community and specialized species driving) under land use change remain unresolved. Here we identiﬁed the relationship of microbial diversity [e
Predicting hotel cancellations using machine learning

Room cancellations is a big challenge for the hotel industry since the number of guest aﬀects the whole operational setup. The purpose of the thesis is to predict hotel cancellations using machine learning and analyse which factors have the most inﬂuence. Broadly speaking, machine learning can be summarized as an interdisciplinary science for using computers to solve a given problem by ﬁnding patterns and learning from existing data. Machine learning involves theory from among others probability, statistics, optimization, algorithms and computer science. The problem of predicting cancellations is a binary classiﬁcation problem, as the two possible outcomes are cancellation or non-cancellation. Classiﬁcation in statistics is the process of determining what class a given input data belongs to, in other words predicting a qualitative outcome variable. Data was provided by a hotel in the Gothenburg area and the machine learning algorithms used in the thesis were Random Forest, XGBoost and Logit. Random Forest and XGBoost are tree-based models, which creates decision trees in order to make predictions and in a classiﬁcation problem these are referred to as classiﬁcation trees. The aim for a classiﬁcation tree is to determine a qualitative outcome variable by making step-wise binary splits, where the diﬀerent outcomes are denoted as classes. The logit model, or logistic regression, is a form of binary regression which is used as a reference model in this thesis. Our main ﬁndings indicate that Random Forest is the best performing model onthe hotel data with an accuracy close to 80%. Leadtime, which is a numeric variable that represent the days between when the hotel reservation was made and day of arrival, was the most inﬂuential variable in the Random Forest model. Adding weather data marginally improved the accuracy of predicting hotel cancellations, for all models.
A theoretical explanation of RbBH4’s fractionally occupied ground-state phase and the reorientational motion of the [BH4]− group

In this work, a pseudo-structure model is adopted to describe the fractionally occupied phase of RbBH4 at low temperatures. The fractionally occupied cubic ground state with Fm3m symmetry can be explained as a superposition and average of three well-defined pseudo-structures with P43m, F43m and P42/nmc symmetries. First, both mechanical and dynamical stability of these pseudo-structures are supported by the calculated elastic constants and phonon spectra, respectively. By comparing the electronic structure, elastic properties and thermodynamic properties of these well-defined pseudo-structures, it can be found that all pseudo-structures exhibit a certain degree of similarity. Second, the system is stabilized by charge transfer. Bader charge analysis of the pseudo-structures shows that charge transfer in RbBH4 contributes a constant shift in formation energy. Coulomb interaction energy and total electronic energy variations with the unit cell volume have been obtained. The results show that the larger the volume of the unit cell, the lower the difference of Coulomb interaction energy between the pseudo-structures P43m, F43m and P42/nmc. Third, the barrier energies calculated for paths of transitions between these pseudo-structures vary significantly with the volume. As the cell volume decreases from 512 to 216 Å3, the B–H covalent bonds are compressed from 1.242 to 1.208 Å. Meanwhile, the rotational barrier of [BH4]− anion increases rapidly, from 0.04 to 0.97 eV. Last, considering the temperature effect, the free energy and entropy contributions are calculated based on the rigid rotor harmonic oscillator approximation. The Gibbs free energy shows that at low temperature the P42/nmc structure is the preferred structure, and with increasing temperature, the P43m structure becomes the preferred structure. We found that the fractionally occupied phase of RbBH4 can be explained by the size of the Rb+ cation and a subtle balance between the Coulomb interaction energy, electronic total energy and thermal vibration energy.
Invariant mass reconstruction in a search for light charged Higgs bosons in $pp$ collisions at $\sqrt{s}$ = 7 TeV

An algorithm for invariant mass reconstruction in a search for light charged Higgs bosons (H⁺) produced in top quark decays and decaying to a tau lepton and neutrino, H⁺ -> τν, is presented. Here, 'light' means lighter than the top quark. The algorithm uses the top quark mass as a kinematical constraint to allow the calculation of the longitudinal momentum of the neutrinos. The invariant mass of the tau-and-neutrino system is then calculated using the missing transverse energy, the calculated longitudinal momentum of the neutrinos, and the measured momentum of the visible decay products of the tau lepton. Methods for resolving ambiguities and recovering unphysical results arising in the invariant mass reconstruction are presented. The invariant mass distribution could be used to extract a possible signal, replacing or complementing the transverse mass distribution that has been used so far in the analysis. In a preliminary data analysis using proton-proton collision data at sqrt(s) = 7 TeV corresponding to an integrated luminostity of 5.1 / fb recorded by the CMS experiment, it is shown that using invariant mass distribution obtained with the presented algorithm allows to set a more stringent upper limit on the signal branching fraction Br(t -> bH⁺) × Br(H⁺ -> τν) than does using the transverse mass distribution. An expected upper limit at the 95% confidence level between around 0.37% to 2.5% (transverse mass) and 0.13% to 1.9% (invariant mass) is found, depending on the H⁺ mass. These results suggest that using the invariant mass reconstructed with the new algorithm may improve the signal sensitivity of the search.
PROJECTIVE MOTION IN BI-RECURRENT FINSLER SPACE

The existence of projective motion in a symmetric Finsler space was developed by F.M. Meher . The present author has studied affine and projective motions with contra field in the same space . Re-cently the author has discussed projective motions in Finsler spaces . The purpose of this paper is to study projective motion in bi-recurrent Finsler space. The notations of H.Rund are used in the sequel. M.S.C. 2000: 53B40.
Monte Carlo Studies of Confined Fermions

We approximate single particle wave functions for some given potential by expanding the solutions from diagonalizing the single particle problem in a harmonic oscillator basis. These single particle wave function approximations allow us to perform variational Monte Carlo (VMC) simulations without having explicit expressions for the single particle wave functions. We use the VMC simulations to analyze the ground states of quantum dots trapped in various confinement potentials, namely single and double harmonic oscillator potentials and single finite square well potentials. A point of interest is to see how many harmonic oscillator basis functions are needed for high quality approximations to the single particle wave functions for the different potentials. This is of interest because the number of basis functions needed is an important constraint of the method when it comes to computational efficiency. To verify the method used, we compare our ground state energy results with other ab initio many-body methods, such as the Similarity Renormalization Group method, the Coupled Cluster method, and the Full Configuration Interaction method, as well as with other VMC and DMC (Diffusion Monte Carlo) results.
Parabolic flights in pico-g for space-based gravitational wave observatory: the free-fall experiment on LISA Pathfinder

This thesis reports on the results of the so-called free-fall experiment performed on LISA Pathfinder (LPF). After an introduction to the measurement of space-time curvature from space and its application to gravitational wave observation, overviews of LISA and the precursor mission, LISA Pathfinder, are described. Then a specific source of noise arising on LPF, the actuation noise, is investigated, also with reference to the free-fall experiment. Then, the physics and the design of the experiment are described as well as the analysis technique adopted to analyze the free-fall data. Finally, the results of the free-fall data campaign are shown, with a discussion regarding the possible implications for LISA and space-based gravity gradiometers.
Innovative, low-cost eco-composite boards produced from high-energy milled wood, plastic waste, and bio-polymer

Currently, there is a big issue with waste, its processing and subsequent use. While there are many initiatives to replace materials that are poorly biodegradable, it is necessary to process and ideally use the waste that is already produced. In this study, the properties of composite boards made of waste materials and biodegradable polymer were investigated. The composite boards were made from wood and plastic waste using high-energy milling technology. This technology for material preparation is promising, as it includes controlling the morphology of particles, homogenizing the mixture, and drying the material during the milling process. The results showed higher flexural strength of high-density fiberboard (HDF) boards compared with tested composites with one exception. Wood/poly(3-hydroxybutyrate-co-3-hydroxyvalerate) [PHBV] composite exhibited 30% higher modulus of elasticity (MOE) than HDF due to the higher modulus of PHBV. The lowest thickness swelling (3%) and water absorption (12%) were measured for wood/recycled high density polythene (rHDPE) composite. The HDF boards recorded the lowest dimensional stability. The highest water absorption of tested composites was measured for wood/PHBV composite. The resistance to wood-rotting fungi was greatest for wood/PHBV composite containing marble powder, which corresponded to the results of scanning electron microscopy.
Dynamical properties of the improved FK3V heart cell model

The main aim of this paper is to study the evolution of the transmembrane potential on the cardiac cell under different rates and amplitudes of stimulation. For modeling this potential, the modification of the Fenton‐Karma model was applied. It is a phenomenological model with 3 degrees of freedom that corresponds to nondimensional transmembrane potential and gating variables for regulation of inward and outward ion currents that can better reproduce the shape of the transmembrane potential than the original Fenton‐Karma model. The model was newly forced by stimulus with the shape of the half‐sine period. As the main goal of the paper is to show that this model is showing regular as well as irregular motion; periodic and chaotic patterns are detected using bifurcation diagrams, the Fourier spectra, Poincaré sections, and 0‐1 test for chaos.
Faktor-faktor yang Mempengaruhi Penggunaan dan Penerimaan Jaringan 5G: Aplikasi Model UTAUT

– Internet technology never stops making the development of the digital era enter the 5G technology stage. However, the market for 5G technology is still relatively small in Indonesia due to several factors, one of which is the uneven demand for communication technology in Indonesia. Thus, the purpose of this study is to analyze the behavior of internet users toward the 5G network by looking at what factors influence the community towards using the 5G network as a UTAUT approach. In analyzing the data, researchers used the SEM-GSCA method with 202 samples of 5G users in Indonesia. This study concludes that there are significant factors that influence people's interest in using the 5G network, including performance expectancy, effort expectancy, and facilitating condition variables, while the social influence variable does not have a significant effect on interest in using the 5G network. In addition, it was found that there was a significant influence between the intention to use the 5G network and the intention to buy a subscription to the 5G network.
DESIGN OF A MINIATURIZED SYMMETRIC FOLDED SUBSTRATE INTEGRATED WAVEGUIDE FILTER

Substrate integrated waveguide (SIW) is widely used in filter design due to its advantages of high Q value, high power capacity, small size and easy integration. In this paper, a symmetric folded substrate integrated waveguide (SFSIW) miniaturization method is proposed. Through the comparison of the miniaturization degree of the resonant cavity before and after folding, the feasibility of this method is verified, and the miniaturization theory of SIW filter is further improved. Using a symmetrically folded SIW resonator, a two-cavity filter and a three-cascaded cross-coupling filter were designed. This structure achieves better miniaturization of the filter. The high Q value of the SFSIW resonator makes the filter’s insertion loss smaller, the transmission characteristics better, and the simulation and measurement results are consistent.