Miracle-dz/UniFAR-FTUs huggingface dataset:
Integration by parts formula and shift Harnack inequality for stochastic equations

A new coupling argument is introduced to establish Driver’s integration by parts formula and shift Harnack inequality. Unlike known coupling methods where two marginal processes with different starting points are constructed to move together as soon as possible, for the new-type coupling the two marginal processes start from the same point but their difference is aimed to reach a fixed quantity at a given time. Besides the integration by parts formula, the new coupling method is also efficient to imply the shift Harnack inequality. Differently from known Harnack inequalities where the values of a reference function at different points are compared, in the shift Harnack inequality the reference function, rather than the initial point, is shifted. A number of applications of the integration by parts and shift Harnack inequality are presented. The general results are illustrated by some concrete models including the stochastic Hamiltonian system where the associated diffusion process can be highly degenerate, delayed SDEs, and semi-linear SPDEs.
Voltage Graphs and Cluster Consensus with Point Group Symmetries

A cluster consensus system is a multi-agent system in which the autonomous agents communicate to form multiple clusters, with each cluster of agents asymptotically converging to the same clustering point. We introduce in this paper a special class of cluster consensus dynamics, termed the $G$-clustering dynamics for $G$ a point group, whereby the autonomous agents can form as many as $|G|$ clusters, and moreover, the associated $|G|$ clustering points exhibit a geometric symmetry induced by the point group. The definition of a $G$-clustering dynamics relies on the use of the so-called voltage graph. We recall that a $G$-voltage graph is comprised of two elements---one is a directed graph (digraph), and the other is a map assigning elements of a group~$G$ to the edges of the digraph. For example, in the case when $G = \{1, -1\}$, i.e., a cyclic group of order~$2$, a voltage graph is nothing but a signed graph. A $G$-clustering dynamics can then be viewed as a generalization of the so-called Altafini's model, which was originally defined over a signed graph, by defining the dynamics over a voltage graph. One of the main contributions of this paper is to identify a necessary and sufficient condition for the exponential convergence of a $G$-clustering dynamics. Various properties of voltage graphs that are necessary for establishing the convergence result are also investigated, some of which might be of independent interest in topological graph theory.
On the Maximum Number of Integer Colourings with Forbidden Monochromatic Sums

Let $f(n,r)$ denote the maximum number of colourings of $A \subseteq \lbrace 1,\ldots,n\rbrace$ with $r$ colours such that each colour class is sum-free. Here, a sum is a subset $\lbrace x,y,z\rbrace$ such that $x+y=z$. We show that $f(n,2) = 2^{\lceil n/2\rceil}$, and describe the extremal subsets. Further, using linear optimisation, we asymptotically determine the logarithm of $f(n,r)$ for $r \leqslant 5$. Similar results were obtained by Hán and Jiménez in the setting of finite abelian groups.
On direct Arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes for the HPR model of nonlinear hyperelasticity

This paper is concerned with the numerical solution of the unified first order hyperbolic formulation of continuum mechanics proposed by Peshkov & Romenski (HPR model), which is based on the theory of nonlinear hyperelasticity of Godunov & Romenski . Notably, the governing PDE system is symmetric hyperbolic and fully consistent with the first and the second principle of thermodynamics. The nonlinear system of governing equations of the HPR model is large and includes stiff source terms as well as non-conservative products. In this paper we solve this model for the first time on moving unstructured meshes in multiple space dimensions by employing high order accurate one-step ADER-WENO finite volume schemes in the context of cell-centered direct Arbitrary-Lagrangian-Eulerian (ALE) algorithms. The numerical method is based on a WENO polynomial reconstruction operator on moving unstructured meshes, a fully-discrete one-step ADER scheme that is able to deal with stiff sources, a nodal solver with relaxation to determine the mesh motion, and a path-conservative technique of Castro & Pares for the treatment of non-conservative products. We present numerical results obtained by solving the HPR model with ADER-WENO-ALE schemes in the stiff relaxation limit, showing that fluids (Euler or Navier-Stokes limit), as well as purely elastic or elasto-plastic solids can be simulated in the framework of nonlinear hyperelasticity with the same system of governing PDE. The obtained results are in good agreement when compared to exact or numerical reference solutions available in the literature.
Point Cloud Completion By Minimizing Prediction Errors In Both 2D And 3D Spaces

Early works for 3D point cloud completion primarily focused on revising deep learning networks, and showed an acceptable performance. However, the performance those methods is limited because of lack of geometric studies. To solve that problem, we used multiple loss functions that allow the deep learning networks to fully understand the geometric perspective of the object in both two-dimensional (2D) and three-dimensional (3D) spaces. As a result, the angle between the prediction and ground truth vectors is reduced for accurate local details in the 3D space, and at the same time, the difference in distance on a specific plane is reduced for 2D local details. For that reason, the proposed point cloud completion method can lead to clarify semantic information and structure of 3D objects. In addition, the proposed mathematical approach can give better understanding of object, which can improve the performance of 3D point cloud completion.
A Korn-Poincaré-type inequality for special functions of bounded deformation

We present a Korn-Poincar\'e-type inequality in a planar setting which is in the spirit of the Poincar\'e inequality in SBV due to De Giorgi, Carriero, Leaci. We show that for each function in SBD$^2$ one can find a modification which differs from the original displacement field only on a small set such that the distance of the modification from a suitable infinitesimal rigid motion can be controlled by an appropriate combination of the elastic and the surface energy. In particular, the result can be used to obtain compactness estimates for functions of bounded deformation.
-YOUNG MEASURES AND RELAXATION OF PROBLEMS WITH LINEAR GROWTH∗

In this work we completely characterize generalized Young measures generated by sequences of gradients of maps in W 1,1(Ω;RM ), where Ω ⊂ RN . This characterization extends and completes previous analysis by Kristensen and Rindler [Arch. Ration. Mech. Anal. , 197 (2010), pp. 539–598 and 203 (2012), pp. 693–700] where concentrations of the sequence of gradients at the boundary of Ω were excluded. As an application of our result we study the relaxation of nonquasiconvex variational problems with linear growth at infinity, and, finally, we link our characterization to Souček spaces [J. Souček, Časopis Pro Pěstováńı Matematiky, 97 (1972), pp. 10–46], an extension of W 1,1(Ω;RM ) where gradients are considered as measures on Ω̄.
A High Power Density Wide Range DC–DC Converter for Universal Electric Vehicle Charging

This article presents a single stage isolated bidirectional DC–DC converter comprising of LCL-T resonant network for universal electric vehicle (EV) charging. Fixed frequency operation along with phase-shift control enables easier design of passive components, while achieving high efficiency across wide output voltage range. Furthermore, to increase the switching frequency and consequently the power density, gallium nitride (GaN) switches are explored in the proposed solution. In order to facilitate use of commercially available 650 V GaN transistors, a multi-level inverter and a reconfigurable rectifier architecture is utilized along with LCL-T resonant network, accommodating an input voltage of 800 V, generated from an universal three phase ac input supply, and an output voltage ranging from 150 V to 950 V catering to large variation of battery voltages from different vehicle manufacturers. The constant input voltage-to-output current gain property of LCL-T network, along with an efficient phase-shift modulation proposed in this paper enable soft switching of all transistors with minimum circulating currents over constant current (CC), constant power (CP), and constant voltage (CV) modes of battery charging. Experimental results are provided for a single-phase DC–DC converter prototype utilizing 650 V GaN transistors operating from an 800 V DC bus and providing a very wide output voltage from 150 V to 950 V at 6.6 kW maximum power at a constant switching frequency of 500 kHz. The prototype achieves two peak efficiency points of 98.2% and maintains $>$ 97% efficiency across the entire output voltage range at a power density of 120 W/in3 (7.3 kW/L).
Mental Health Chatbot for Young Adults With Depressive Symptoms During the COVID-19 Pandemic: Single-Blind, Three-Arm Randomized Controlled Trial

Background Depression has a high prevalence among young adults, especially during the COVID-19 pandemic. However, mental health services remain scarce and underutilized worldwide. Mental health chatbots are a novel digital technology to provide fully automated interventions for depressive symptoms. Objective The purpose of this study was to test the clinical effectiveness and nonclinical performance of a cognitive behavioral therapy (CBT)–based mental health chatbot (XiaoE) for young adults with depressive symptoms during the COVID-19 pandemic. Methods In a single-blind, 3-arm randomized controlled trial, participants manifesting depressive symptoms recruited from a Chinese university were randomly assigned to a mental health chatbot (XiaoE; n=49), an e-book (n=49), or a general chatbot (Xiaoai; n=50) group in a ratio of 1:1:1. Participants received a 1-week intervention. The primary outcome was the reduction of depressive symptoms according to the 9-item Patient Health Questionnaire (PHQ-9) at 1 week later (T1) and 1 month later (T2). Both intention-to-treat and per-protocol analyses were conducted under analysis of covariance models adjusting for baseline data. Controlled multiple imputation and δ-based sensitivity analysis were performed for missing data. The secondary outcomes were the level of working alliance measured using the Working Alliance Questionnaire (WAQ), usability measured using the Usability Metric for User Experience-LITE (UMUX-LITE), and acceptability measured using the Acceptability Scale (AS). Results Participants were on average 18.78 years old, and 37.2% (55/148) were female. The mean baseline PHQ-9 score was 10.02 (SD 3.18; range 2-19). Intention-to-treat analysis revealed lower PHQ-9 scores among participants in the XiaoE group compared with participants in the e-book group and Xiaoai group at both T1 (F2,136=17.011; P<.001; d=0.51) and T2 (F2,136=5.477; P=.005; d=0.31). Better working alliance (WAQ; F2,145=3.407; P=.04) and acceptability (AS; F2,145=4.322; P=.02) were discovered with XiaoE, while no significant difference among arms was found for usability (UMUX-LITE; F2,145=0.968; P=.38). Conclusions A CBT-based chatbot is a feasible and engaging digital therapeutic approach that allows easy accessibility and self-guided mental health assistance for young adults with depressive symptoms. A systematic evaluation of nonclinical metrics for a mental health chatbot has been established in this study. In the future, focus on both clinical outcomes and nonclinical metrics is necessary to explore the mechanism by which mental health chatbots work on patients. Further evidence is required to confirm the long-term effectiveness of the mental health chatbot via trails replicated with a longer dose, as well as exploration of its stronger efficacy in comparison with other active controls. Trial Registration Chinese Clinical Trial Registry ChiCTR2100052532; http://www.chictr. org.cn/showproj.aspx? proj=135744
The Effect of Perceived Green Human Resources Management on Perceived Environmental Performance with Employer Environmental Commitment and Green Lifestyle As an Intervening Variable

This study examines the effect of perceived green human resources management on perceived environmental performance with employer environmental commitment and green lifestyle as intervening variables. This study aims to analyze the effect of perceived green human resource management on perceived environmental performance, analyze the effect of perceived green human resource management on employer environmental commitment, analyze the effect of employer environmental commitment on perceived environmental performance, analyze the effect of perceived green human resource management on green lifestyle, analyze the effect of green lifestyle on perceived environmental performance.The sample of this research is companies in Indonesia that have received ISO 14001 certificates on environmental management and companies that received PROPER awards from the Ministry of Environment and Forestry of the Republic of Indonesia. The technique in sampling in this study uses nonprobability sampling and purposive sampling techniques by collecting data which is done by giving online questionnaires by google form. The analysis technique used is the Partial Least Square (PLS) technique using SmartPLS software. From the results of hypothesis testing, it was concluded that hypothesis 1 (H1) was rejected, hypothesis 2 (H2) was accepted, hypothesis 3 (H3) was rejected, hypothesis 4 (H4) was accepted and hypothesis 5 (H5) was accepted.
$p$-adic Hodge theory in rigid analytic families

We study the functors $\D_{\B_\ast}(V)$, where $\B_\ast$ is one of Fontaine's period rings and $V$ is a family of Galois representations with coefficients in an affinoid algebra $A$. We show that $\D_{\HT}(V)=\oplus_{i\in\Z}(\D_{\Sen}(V)\cdot t^i)^{\Gamma_K}$, $\D_{\dR}(V)=\D_{\dif}(V)^{\Gamma_K}$, and $\D_{\cris}(V)=\D_{\rig}(V)[1/t]^{\Gamma_K}$, generalizing results of Sen, Fontaine, and Berger. The modules $\D_{\HT}(V)$ and $\D_{\dR}(V)$ are coherent sheaves on $\Sp(A)$, and $\Sp(A)$ is stratified by the ranks of submodules $\D_{\HT}^{[a,b]}(V)$ and $\D_{\dR}^{[a,b]}(V)$ of "periods with Hodge-Tate weights in the interval $[a,b]$". Finally, we construct functorial $\B_\ast$-admissible loci in $\Sp(A)$, generalizing a result of Berger-Colmez to the case where $A$ is not necessarily reduced.
Biochar prepared from Ficus nitida as a carrier for frankincense essential oil (Boswellia sacra) to control some stored product insects

The insecticidal activity of biochar that prepared from Ficus nitida tree residues at 500 and 700οC °C was evaluated against some stored product insects Tribolium castaneum, Rhyzopertha dominica and Oryzaephilus surinamensis, alone and as a carrier for the frankincense essential oil (Boswellia sacra) after 0, 15 and 30 days storage periods. The results showed the O. surinamensis was the most susceptible and the biochar prepared at 500οC was the most active against all tested insects. Also, the toxicity increased with increasing storage period only against R. dominica. The formula was more toxic than biochar or oil alone, especially against T. castaneum. The elemental analysis showed low carbon and high oxygen contents in the biochar 500 and the FTIR analysis showed a large number of functional groups on biochar 500 compared to biochar 700 which may attribute to the slightly higher toxicity of biochar. SEM images of the ventral surface of treated O. surinamensis showed the adhesion of biochar on all body parts, Moreover, the sensilla within the external surface of the elytra are partly absent. Our results suggest the promising use of biochar against some stored product insects and can be effectively loaded with other safe chemicals, more studies are needed to understand its effects on insects.
Quantum communication in the spin chain with multiplespin exchange interaction

The transmission of quantum states in the anisotropic Heisenberg XXZ chain model with three-spin exchange interaction is studied. The average fidelity is used to evaluate the state transfer. It is found out that quantum communication can be enhanced by the anisotropic coupling and multiple spin interaction. Such spin model can reduce the time required for the perfect state transmission where the fidelity is unity. The maximally entangled Bell states can be generated and separated from the whole quantum systems.
A survey of $\chi$-boundedness

If a graph has bounded clique number, and sufficiently large chromatic number, what can we say about its induced subgraphs? Andras Gyarfas made a number of challenging conjectures about this in the early 1980's, which have remained open until recently; but in the last few years there has been substantial progress. This is a survey of where we are now.
Newton-Okounkov Bodies over Discrete Valuation Rings and Linear Systems on Graphs

The theory of Newton-Okounkov bodies attaches a convex body to a line bundle on a variety equipped with flag of subvarieties. This convex body encodes the asymptotic properties of sections of powers of the line bundle. In this paper, we study Newton-Okounkov bodies for schemes defined over discrete valuation rings. We give the basic properties and then focus on the case of toric schemes and semistable curves. We provide a description of the Newton-Okounkov bodies for semistable curves in terms of the Baker--Norine theory of linear systems on graphs, finding a connection with tropical geometry. We do this by introducing an intermediate object, the Newton-Okounkov linear system of a divisor on a curve. We prove that it is equal to the set of effective elements of the real Baker-Norine linear system of the specialization of that divisor on the dual graph of the curve. As a bonus, we obtain an asymptotic algebraic geometric description of the Baker-Norine linear system.
Direct-Switch Duty-Cycle Control of Grid-Connected n-Level Neutral-Point-Clamped Converter

Capacitor voltage imbalance is a well-recognized issue for neutral-point-clamped (NPC) converters. Hardware solutions increase the system cost and complexity, while existing software solutions generally involve sophisticated algorithms, making it difficult to extend them for more voltage levels and full power-factor range. In this article, a new control method, termed direct-switch duty-cycle control (DSDCC), is proposed and generalized for the grid-connected n-level NPC converter. This method has the advantage of balancing the capacitor voltages for the full range of power factors on the ac side. The main significance of the DSDCC is that it can achieve near-optimal performance with simple and fast control implementation for two reasons. First, the DSDCC is based on the model directly concerning switches’ duty cycles, which can easily generate gating signals for the converter with only one carrier. Second, instead of searching for an optimal control solution, near-optimal switch duty cycles are derived such that the controller design can be greatly simplified. The extremely fast execution time of the proposed control algorithm is only about 3% of that of model predictive control for five-level NPC (5L-NPC) converters. Experimental results are included to validate the proposed method with a 5L-NPC converter.
THE GEMINI NICI PLANET-FINDING CAMPAIGN: THE COMPANION DETECTION PIPELINE

We present high-contrast image processing techniques used by the Gemini NICI Planet-Finding Campaign to detect faint companions to bright stars. The Near-Infrared Coronographic Imager (NICI) is an adaptive optics instrument installed on the 8 m Gemini South telescope, capable of angular and spectral difference imaging and specifically designed to image exoplanets. The Campaign data pipeline achieves median contrasts of 12.6 mag at 0. ″5 and 14.4 mag at 1″ separation, for a sample of 45 stars (V = 4.3–13.9 mag) from the early phase of the campaign. We also present a novel approach to calculating contrast curves for companion detection based on 95% completeness in the recovery of artificial companions injected into the raw data, while accounting for the false-positive rate. We use this technique to select the image processing algorithms that are more successful at recovering faint simulated point sources. We compare our pipeline to the performance of the Locally Optimized Combination of Images (LOCI) algorithm for NICI data and do not find significant improvement with LOCI.
Recent X-ray observations of the symbiotic star AG Peg: do they signify colliding stellar winds?

We present an analysis of recent X-ray observations of the symbiotic star AG Peg. The X-ray emission of AG Peg as observed with Swift in 2015 shows considerable variability on time scale of days as variability on shorter time scales might be present as well. Analysis of the X-ray spectra obtained in 2013 and 2015 confirms that AG Peg is an X-ray source of class $\beta$ of the X-ray sources amongst the symbiotic stars. The X-ray emission of AG Peg as observed with ROSAT (1993 June) might well originate from colliding stellar winds (CSW) in binary system. On the other hand, the characteristics of the X-ray emission of AG Peg in 2013 and 2015 (Swift) are hard to accommodate in the framework of the CSW picture. Analysis of the light curves in 2015 shows that the power spectrum of the X-ray variability in AG Peg resembles that of the flicker noise (or flickering) being typical for accretion processes in astronomical objects. This is a sign that CSWs did not play a key role for the X-ray emission from AG Peg in 2013-2015 and a different mechanism (probably accretion) is also getting into play.
HERUS: A CO ATLAS FROM SPIRE SPECTROSCOPY OF LOCAL ULIRGs

We present the Herschel SPIRE Fourier Transform Spectroscopy (FTS) atlas for a complete flux-limited sample of local ultraluminous infrared galaxies (ULIRGs) as part of the HERschel Ultra Luminous InfraRed Galaxy Survey (HERUS). The data reduction is described in detail and was optimized for faint FTS sources ,with particular care being taken for the subtraction of the background, which dominates the continuum shape of the spectra. To improve the final spectra, special treatment in the data reduction has been given to any observation suffering from artifacts in the data caused by anomalous instrumental effects. Complete spectra are shown covering 200–671 μm, with photometry in the SPIRE bands at 250, 350, and 500 μm. The spectra include near complete CO ladders for over half of our sample, as well as fine structure lines from [C i] 370 μm, [C i] 609 μm, and [N ii] 205 μm. We also detect H2O lines in several objects. We construct CO spectral line energy distributions (SLEDs) for the sample, and compare their slopes with the far-infrared (FIR) colors and luminosities. We show that the CO SLEDs of ULIRGs can be broadly grouped into three classes based on their excitation. We find that the mid-J (5 < J < 8) lines are better correlated with the total FIR luminosity, suggesting that the warm gas component is closely linked to recent star formation. The higher J transitions do not linearly correlate with the FIR luminosity, consistent with them originating in hotter, denser gas that is unconnected to the current star formation. We conclude that in most cases more than one temperature component is required to model the CO SLEDs.