Miracle-dz/UniFAR-FTUs huggingface dataset:
The second Robin eigenvalue in non-compact rank-1 symmetric spaces

In this paper, we prove a quantitative spectral inequality for the second Robin eigenvalue in non-compact rank-1 symmetric spaces. In particular, this shows that for bounded domains in non-compact rank-1 symmetric spaces, the geodesic ball maximises the second Robin eigenvalue among domains of the same volume, with negative Robin parameter in the regime connecting the first nontrivial Neumann and Steklov eigenvalues. This result generalises the work of Freitas and Laugesen in the Euclidean setting [FL21] as well as our previous work in the hyperbolic space [LWW20].
Conv-Adapter: Exploring Parameter Efficient Transfer Learning for ConvNets

While parameter efficient tuning (PET) methods have shown great potential with transformer architecture on Natural Language Processing (NLP) tasks, their effectiveness is still under-studied with large-scale ConvNets on Computer Vision (CV) tasks. This paper proposes Conv-Adapter, a PET module designed for ConvNets. Conv-Adapter is light-weight, domain-transferable, and architecture-agnostic with generalized performance on different tasks. When transferring on downstream tasks, Conv-Adapter learns tasks-specific feature modulation to the intermediate representations of backbone while keeping the pre-trained parameters frozen. By introducing only a tiny amount of learnable parameters, e.g., only 3.5% full fine-tuning parameters of ResNet50, Conv-Adapter outperforms previous PET baseline methods and achieves comparable or surpasses the performance of full fine-tuning on 23 classification tasks of various domains. It also presents superior performance on few-shot classifications, with an average margin of 3.39%. Beyond classification, Conv-Adapter can generalize to detection and segmentation tasks with more than 50% reduction of parameters but comparable performance to the traditional full fine-tuning.
Multi-Point Integrated Sensing and Communication: Fusion Model and Functionality Selection

Integrated sensing and communication (ISAC) represents a paradigm shift, where previously competing wireless transmissions are jointly designed to operate in harmony via the shared use of the hardware platform for improving the spectral and energy efficiencies. However, due to adversarial factors such as fading and interference, ISAC may suffer from high sensing uncertainties. This letter presents a multi-point ISAC (MPISAC) system that fuses the outputs from multiple ISAC devices for achieving higher sensing performance by exploiting multi-view data redundancy. Furthermore, we propose to effectively explore the performance trade-off between sensing and communication via a functionality selection module that adaptively determines the working state (i.e., sensing or communication) of an ISAC device. The crux of our approach is to derive a fusion model that predicts the fusion accuracy via hypothesis testing and optimal voting analysis. Simulation results demonstrate the superiority of MPISAC over various benchmark schemes and show that the proposed approach can effectively span the trade-off region in ISAC systems.
Learnable Filters for Geometric Scattering Modules

We propose a new graph neural network (GNN) module, based on relaxations of recently proposed geometric scattering transforms, which consist of a cascade of graph wavelet filters. Our learnable geometric scattering (LEGS) module enables adaptive tuning of the wavelets to encourage band-pass features to emerge in learned representations. The incorporation of our LEGS-module in GNNs enables the learning of longer-range graph relations compared to many popular GNNs, which often rely on encoding graph structure via smoothness or similarity between neighbors. Further, its wavelet priors result in simplified architectures with significantly fewer learned parameters compared to competing GNNs. We demonstrate the predictive performance of LEGS-based networks on graph classification benchmarks, as well as the descriptive quality of their learned features in biochemical graph data exploration tasks. Our results show that LEGS-based networks match or outperforms popular GNNs, as well as the original geometric scattering construction, on many datasets, in particular in biochemical domains, while retaining certain mathematical properties of handcrafted (non-learned) geometric scattering.
A Graph-Based Modelling of Epidemics]{A Graph-Based Modelling of Epidemics: Properties, Simulation, and Continuum Limit

This work is concerned with epidemiological models defined on networks, which highlight the prominent role of the social contact network of a given population in the spread of infectious diseases. In particular, we address the modelling and analysis of very large networks. As a basic epidemiological model, we focus on a SEIR (Susceptible-Exposed-Infective-Removed) model governing the behaviour of infectious disease among a population of individuals, which is partitioned into sub-populations. We study the long-time behaviour of the dynamic for this model, also taking into account the heterogeneity of the infections and the social network. By relying on the theory of graphons, we address the natural question of the large population limit and investigate the behaviour of the model as the size of the network tends to infinitely. After establishing the existence and uniqueness of solutions to the selected models, we discuss the use of the graphon-based limit model as a generative model for a network with particular statistical properties related to the distribution of connections. We also provide some preliminary numerical tests.
Efficient Multimodal Transformer With Dual-Level Feature Restoration for Robust Multimodal Sentiment Analysis

With the proliferation of user-generated online videos, Multimodal Sentiment Analysis (MSA) has attracted increasing attention recently. Despite significant progress, there are still two major challenges on the way towards robust MSA: 1) inefficiency when modeling cross-modal interactions in unaligned multimodal data; and 2) vulnerability to random modality feature missing which typically occurs in realistic settings. In this paper, we propose a generic and unified framework to address them, named Efficient Multimodal Transformer with Dual-Level Feature Restoration (EMT-DLFR). Concretely, EMT employs utterance-level representations from each modality as the global multimodal context to interact with local unimodal features and mutually promote each other. It not only avoids the quadratic scaling cost of previous local-local cross-modal interaction methods but also leads to better performance. To improve model robustness in the incomplete modality setting, on the one hand, DLFR performs low-level feature reconstruction to implicitly encourage the model to learn semantic information from incomplete data. On the other hand, it innovatively regards complete and incomplete data as two different views of one sample and utilizes siamese representation learning to explicitly attract their high-level representations. Comprehensive experiments on three popular datasets demonstrate that our method achieves superior performance in both complete and incomplete modality settings.
Many recent density functionals are numerically ill-behaved.

Most computational studies in chemistry and materials science are based on the use of density functional theory. Although the exact density functional is unknown, several density functional approximations (DFAs) offer a good balance of affordable computational cost and semi-quantitative accuracy for applications. The development of DFAs still continues on many fronts, and several new DFAs aiming for improved accuracy are published every year. However, the numerical behavior of these DFAs is an often-overlooked problem. In this work, we look at all 592 DFAs for three-dimensional systems available in Libxc 5.2. 2 and examine the convergence of the density functional total energy based on tabulated atomic Hartree-Fock wave functions. We show that several recent DFAs, including the celebrated SCAN family of functionals, show impractically slow convergence with typically used numerical quadrature schemes, making these functionals unsuitable both for routine applications and high-precision studies, as thousands of radial quadrature points may be required to achieve sub-μEh accurate total energies for these functionals, while standard quadrature grids like the SG-3 grid only contain O(100) radial quadrature points. These results are both a warning to users to always check the sufficiency of the quadrature grid when adopting novel functionals, as well as a guideline to the theory community to develop better-behaved density functionals.
A New Theory of Turbulence Causes a Stir Among Experts

Two mathematicians are claiming that a basic formula of turbulence is flawed. The formula, known as the logarithmic law of the wall, describes how the velocity of a turbulent fluid slows in a thin layer near a surface, and it provides a convenient rule of thumb for the design of aircraft, pipelines, and other structures that operate in a fluid environment. The new analysis finds that the assumptions underlying the law of the wall are flawed, and it is off by as much as 65%. While the effect is too small to be a safety concern, the claim is roiling the field of turbulence. Computers/Math
1 3 Metamizole relieves pain by influencing cytokine levels in dorsal root ganglia in a rat model of neuropathic pain

Background Treatment of neuropathic pain is still challenging. Recent studies have suggested that dorsal root ganglia (DRG), which carry sensory neural signals from the peripheral nervous system to the central nervous system, are important for pathological nociception. A proper understanding of the significance and function of DRG and their role in pharmacotherapy can help to improve the treatment of neuropathic pain. Metamizole, also known as sulpyrine or dipyrone, is a non-opioid analgesic commonly used in clinical practice, but it is not used for neuropathic pain treatment. Methods Chronic constriction injury (CCI) of the sciatic nerve was induced in Wistar rats. Metamizole was administered intraperitoneally (ip) preemptively at 16 and 1 h before CCI and then twice a day for 7 days. To evaluate tactile and thermal hypersensitivity, von Frey and cold plate tests were conducted, respectively. Results Our behavioral results provide evidence that repeated intraperitoneal administration of metamizole diminishes the development of neuropathic pain symptoms in rats. Simultaneously, our findings provide evidence that metamizole diminishes the expression of pronociceptive interleukins ( IL - 1beta , IL - 6 , and IL - 18 ) and chemokines ( CCL2 , CCL4 , and CCL7 ) in DRG measured 7 days after sciatic nerve injury. These assays
Rapid and Sensitive Detection of Noroviruses by Using TaqMan-Based One-Step Reverse Transcription-PCR Assays and Application to Naturally Contaminated Shellﬁsh Samples

Noroviruses (NoV), which are members of the family Caliciviridae , are the most important cause of outbreaks of acute gastroenteritis worldwide and are commonly found in shellﬁsh grown in polluted waters. In the present study, we developed broadly reactive one-step TaqMan reverse transcription (RT)-PCR assays for the detection of genogroup I (GI) and GII NoV in fecal samples, as well as shellﬁsh samples. The speciﬁcity and sensitivity of all steps of the assays were systematically evaluated, and in the ﬁnal format, the monoplex assays were validated by using RNA extracted from a panel of 84 stool specimens, which included NoV strains representing 19 different genotypes (7 GI, 11 GII, and 1 GIV strains). The assays were further validated with 38 shellﬁsh cDNA extracts previously tested by nested PCR. Comparison with a recently described real-time assay showed that our assay had signiﬁcantly higher sensitivity and was at least as sensitive as the nested PCR. For stool specimens, a one-step duplex TaqMan RT-PCR assay performed as well as individual genogroup-speciﬁc monoplex assays. All other enteric a concentration of 250 nM, nM probe JJV1P (for GI viruses) or nM RING2-TP (for GII viruses) (12), and QuantiTect probe RT-PCR buffer (QIA- GEN) for stool samples or TaqMan universal PCR master mixture (Applied Biosystems) for shellﬁsh samples. Duplex protocols included primers (200 nM), GI probe (100 nM), and GII probe (50 nM). For stool samples, the reaction mixture was then subjected to a one-step assay by using the following ampliﬁ- cation conditions: (i) RT for 30 min at 55°C, (ii) 15 min at 95°C to activate Taq polymerase, and (iii) 45 cycles of 10 s at 94°C, 20 s at 55°C, and 15 s at 72°C. cDNA from shellﬁsh samples ampliﬁed follows: 2 min 50°C and min 95°C, by 50 cycles of 15 s 95°C and 1 min 60°C. Several thermocyclers were used to the TaqMan RT-PCR assay developed in this study; these thermocyclers included an iCycler iQ Calif. ), an R.A. P.I. D. Cycler Inc., Utah), and a Calif. ) clinical samples an ABI on ethidium agarose The TaqMan assays cross-reactions Based on a one-step GI-GII duplex assay and for distinguishing the most genogroups. In the optimized duplex (cid:5) GII GIV-speciﬁc
Relative dispersion with ﬁnite inertial ranges

Relative dispersion experiments are often analysed using theoretical predictions from two-and three-dimensional turbulence. These apply to inﬁnite inertial ranges, assuming the same dispersive behaviour over all scales. With ﬁnite inertial ranges, the metrics are less conclusive. We examine this using pair separation probability density functions (PDFs), obtained by integrating a Fokker–Planck equation with different diffusivity proﬁles. We consider time-based metrics, such as the relative dispersion, and separation-based metrics, such as the ﬁnite scale Lyapunov exponent (FSLE). As the latter cannot be calculated from a PDF, we introduce a new measure, the cumulative inverse separation time (CIST), which can. This behaves like the FSLE, but advantageously has analytical solutions in the inertial ranges. This allows the establishment of consistency between the time- and space-based metrics, something which has been lacking previously. We focus on three dispersion regimes: non-local spreading (as in a two-dimensional enstrophy inertial range), Richardson dispersion (as in an energy inertial range) and diffusion (for uncorrelated pair motion). The time-based metrics are more successful with non-local dispersion, as the corresponding PDF applies from the initial time. Richardson dispersion is barely observed, because the self-similar PDF applies only asymptotically in time. In contrast, the separation-based CIST correctly captures the dependencies, even with a short (one decade) inertial range, and is superior to the traditional FSLE at large scales. Nevertheless, it is advantageous to use all measures together, to seek consistent indications of the dispersion.
CIA_A_236895 915..926

Clare Lewis 1 Rónán O’Caoimh 2,3 Declan Patton 1 Tom O’Connor Zena Moore 1 Linda E Nugent 1 1School of Nursing and Midwifery, Royal College of Surgeons Ireland, Dublin, Ireland; 2Clinical Sciences Institute, National University of Ireland Galway, Galway City H91 TK33, Ireland; 3Mercy University Hospital, Cork City T12 WE28, Ireland Purpose: Population ageing is challenging healthcare systems with limited resources, necessitating the development of new care models to address the needs of older, frail communitydwellers. Community Virtual Wards (CVW) reduce adverse events in these patients. We examined the effect of an established CVWon pre-defined health trajectories (between “stable”, “deteriorating”, and “unstable” states) and characteristics that increased the likelihood of adverse healthcare outcomes (hospitalization, institutionalization and death). Patients and Methods: We collected prospective data on frail patients admitted to a CVW in a single centre in Ireland. Relationships between risk scores, health states and adverse outcomes at 30, 60 and 90 days after admission were examined using multinomial regression analysis. Results: In total, 88 community-dwellers, mean (±SD) age of 82.8 ±6.4 years, were included. Most were severely frail on the Rockwood Clinical Frailty Scale (mean 6.8/9 ±1.33). Reaching stability (“stable” state) within 30 days was a predictor for stability at 60 and 90 days and remaining at home. Stability was also associated with fewer care episodes (<2) (p=<0.001), a requirement for fewer healthcare professionals (HCP) (<7) (p<0.001) and lower risk of delirium (p<0.001). By contrast, being “unstable” at 60 days increased the numbers of HCP referrals (>7) and was predictive of more acute episodes (>2) and institutionalization or death (p<0.001). Predictors of adverse outcomes of either institutionalization or death included frailty status, function, mobility, nutrition, pressure ulcer risk and cognition. Conclusion: A CVW model can provide a framework for monitoring and case management to support older people to remain at home or identify those at risk of institutional care. The use of defined health states helped to stratify those at lower or higher risk in an already highrisk frail population. Level of frailty, function, mobility, nutrition, pressure ulcer risks and cognition were predictive of remaining at home and reaching a level of stability or instability/deterioration and institutional care.
2.32 kV Breakdown Voltage Lateral β -Ga 2 O 3 MOSFETs with Source-Connected Field Plate

We report on demonstrating high performance lateral β -Ga 2 O 3 metal-oxide-semiconductor ﬁeld-effect transistors (MOSFETs) with source-connected ﬁeld plate (FP) on a thin (150 nm) and highly Si-doped (n = 1.5 × 10 18 cm − 3 ) β -Ga 2 O 3 epitaxial channel layer grown by ozone molecular beam epitaxy (MBE) on Fe-doped semi-insulating (010) substrate. For a MOSFET with a gate-drain spacing (L gd ) of 25 μ m, the three terminal off-state breakdown voltage (V BR ) tested in Fluorinert ambient reaches 2321 V. To the best of our knowledge, this is the ﬁrst report of lateral β -Ga 2 O 3 MOSFET with high V BR of more than 2 kV and the highest V BR attained among all the Ga 2 O 3 MOSFETs. The breakdown voltages with different L gd from 5–25 μ m ranged from 518–2321V, with a linear trend of increasing breakdown voltage for larger spacing lateral MOSFETs. Combining with high electrical performances and excellent material properties, source-connected FP lateral β -Ga 2 O 3 MOSFET implies its great potential for next generation high-voltage and high-power switching devices applications above 2 kV. ©
Surgical Indications and Techniques to Treat the Pain in Chronic Pancreatitis Surgical Indications and Techniques to Treat the Pain in Chronic Pancreatitis

Chronic pancreatitis (CP) is a progressive inflammatory process, of the pancreatic gland and leads to damage and decrease in glandular tissue. Clinically, the pain is the most outstanding and incapacitating sign (95% of patients), as well as exocrine pancreatic insufficiency. The two main objectives in CP treatment are pain relief and complication management. Pain is the main surgical treatment indication. Patients with pancreatic duct dilation require surgical drainage, which provides an important pain relief (70–80%). Decompression (drainage), resection and neuroablation are the most commonly used surgical treatment options of CP. Derivative surgical procedures as Puestow-Gillesby or its modification, Partington-Rochelle, are the best options if the Wirsung duct is dilated, and Izbiki procedure if it is not. Resection is the choice when there is an important affec-tation of the head of pancreas with repercussion in bile duct or duodenum, as well as those patients with suspicion of carcinoma or in those ones who cannot be ruled a malignant tumour. The resection surgical procedures are Whipple, Traverso-Longmire, Frey (resective-derivative) and Beger (resective-derivative). To conclude, surgeon must know not only every surgical procedure indications but also be familiarised with all of them. The surgical procedure must be individualised to the patient and the disease stage.
Rectal Misoprostol in Women Undergoing Myomectomy for Intraoperative Blood Loss Reduction: A double-blinded randomized placebo-controlled study

Objectives: To compare amount of intraoperative blood loss between patients using preoperative rectal misoprostol versus placebo group. Materials and Methods: A randomized double-blinded placebo-controlled trial, 46 women with uterine leiomyoma indicated for myomectomy, both abdominal and laparoscopic approach were randomly assigned and received rectal misoprostol (400 µg) or placebo at 30 minutes before operation, then estimation of blood loss was recorded as primary outcome. Changes in hemoglobin, hematocrit, rate of transfusion and adverse events were also recorded. Results: Median and interquartile range of intraoperative blood loss in misoprostol group was 350 (613) ml and 500 (663) ml in placebo group. Mann-Whitney U test showed no statistical significance (p = 0.136). Univariate analyses showed significant factors of intraoperative blood loss were intramural type, type of operation and larger size of mass. But after multivariate analyses, the only significant factor affecting more blood loss was intramural type of leiomyoma (odds ratio 23, 95% confidence interval 1.96-271.9, p = 0.013). Changes of hemoglobin, hematocrit, transfusion rate and other complications were not significant. Conclusion: There was no significant benefit in blood loss reduction after using preoperative rectal misoprostol in the study. misoprostol, blood loss, hemoglobin.
to tenderness Variation and Pearson correlation coefficients of Warner-Bratzler shear force measurements within broiler breast fillets 1

of properties related within deboned broiler breast fillets have been used to validate techniques for texture analysis and establish correlations between different texture evaluation methods. However, it has been demonstrated that meat texture can vary from location to location within individual muscles. The objective of our study was to investigate the intramuscular variation and Pearson correlation coefficients of Warner-Bratzler (WB) shear force measurements results correlation
On an Invariance Principle for Diﬀerential-Algebraic Equations with Jumps and its Application to Switched Diﬀerential-Algebraic Equations

We investigate the invariance properties of a class of switched systems where the value of a switching signal determines the current mode of operation (among a ﬁnite number of them) and, for each ﬁxed mode, its dynamics are described by a Diﬀerential Algebraic Equation (DAE). Motivated by the lack of invariance principles of switched DAE systems, we develop such principles for switched DAE systems under arbitrary and dwell-time switching. By obtaining a hybrid system model that describes the switched DAE system, we build from invariance results for hybrid systems the invariance principles for such switched systems. Examples are included to illustrate the results.