Miracle-dz/UniFAR-FTUs huggingface dataset:
Finite-time Containment Coordination of Multi-agent Systems with Time-dependent Switching Topologies

In this paper, the finite-time containment coordination control problem for multi-agent systems with switching communication topologies is investigated. More precisely, the average dwell time method is adopted for the time-dependent topology switchings. As a result, the sufficient conditions are derived and the distributed controllers are designed, such that the finite-time containment can be reached despite of the topology switching. Finally, a simulation example is given for demonstrating the correctness of the proposed method.
Application of Reinforcement Learning in the Autonomous Driving Platform of the DeepRacer

This article revolves around autonomous driving, mainly introducing the autonomous driving cloud platform based on the reinforcement learning to improve the autonomous driving of the car on the Deep Racer using the AWS (Amazon Web Service). Applying the sample codes provided by the DeepRacer platform, the training and completion of the car requires a long time. Therefore, we applied path planning into DeepRacer based on reinforcement learning. Several breakthroughs have been shown as follows: The formulation and solution of RL are completed on DeepRacer. The model of vehicle is simplified as the bicycle and thus reality gap between perception and joints was narrowed. A novel system framework VNARM(Vehicle Network Autonomous Racing Model) is introduced. Reward functions were set properly for tracing in RL. The vehicle's performance of finishing one lap is increased from nearly 30 seconds to less than 9 seconds, while maintaining a high percentage of completion.
Gaia VR: A Virtual Reality-based Neuro and Biofeedback Meditation Application

Meditation and mindfulness are practices that can reduce psychological stress and stress-related health problems during times of crisis such as the current global pandemic caused by COVID-19. Promoting well-being at all ages is essential to sustainable development, and in this study, we proposed a neuro and biofeedback meditation virtual reality application and heart rate band called Gaia VR to make meditation fun, measurable, and personalized. This system could also potentially reduce the stress people have been experiencing in the pandemic. By implementing data such as heart rate variability and Alpha brainwaves, users can get feedback on their daily stress level and interact with the virtual reality environment through their meditation based on how relaxed they are through the process.
Adaptive Output-Constrained Tracking Control for Stochastic Nonlinear Systems Based on the TD Method

This note presents a novel adaptive control tactic for stochastic nonlinear systems with asymmetric output constraints. Firstly, a new-style Barrier nonlinear function is introduced to deal with the constrained system output, correspondingly, and the new coordinate transformations are constructed to carry out the tracking control without using the Barrier Lyapunov function. Subsequently, the innovative tracking differentiator (TD) method is utilized to compensate for the influence of “explosion of complexity”, and the error compensation signals which are in connection with the output constraint conditions are constructed to deal with the filter errors result from the TD. Under the constructed control tactic, all signals are bounded and the output tracks the desired signal very well without violating the constraint conditions. Finally, the availability of the above tactic is illustrated through the simulations.
Exploring Tools For Vulnerability Management

Digital security plays an important role in the world of data innovation. In today's world, data security is arguably the most difficult task to complete. When it comes to network security, the word "cybercrime" comes to mind first, and it's on the rise at an alarming rate. Different governments and groups are adopting a variety of strategies to combat cybercrime. Despite considerable advancements, network security remains a major concern for some people. The difficulties that digital protection faces in the cutting-edge time are the focus of this research. It also contains the most up-to-date information on network security techniques, ethics, and patterns that are transforming the face of network security.
Analytical Results for the Grand-Canonical Partition Function for Unidimensional Hubbard Model up to Order $\beta^5$

We calculate the exact analytical coefficients of the $\beta$ expansion of the grand-canonical partition function of the unidimensional Hubbard model up to order $\beta^5$, using an alternative method, based on properties of the Grassmann algebra. The results derived are non-perturbative and no restrictions on the set of parameters that characterize the model are required. By applying this method we obtain analytical results for the thermodynamical quantities, in the high-temeprature limit, for arbitrary density of electrons in the unidimensional chain.
Single atoms on an optical nanofibre

We show that single atoms can be detected using a sub-wavelength-diameter silica-fibre, an optical nanofibre, and the fact that single photons spontaneously emitted from the atoms can be readily guided into a single-mode optical fibre. Moreover, we find that single atoms around the nanofibre reveal a very prominent spectral feature, that is, the excitation spectrum splits into two peaks with a very small separation, smaller than the natural linewidth.
Paradigm of Safe Intelligent Ecological Monitoring of Environmental Parameters

In the context of the development of the 7-year European Union scientific research initiative "Horizon Europe", the paradigm of ecological monitoring of the environment "intellectualization – information security" is proposed. The multilevel paradigm of safe ecological monitoring “intelligent cyber-physical systems (CPS) – integration of CPS levels – information processes of selection, processing, management – threats to information security (IS) – hardware and software security technologies” is a universal in structure and specialized in functionality for the natural environment “water – air – soil – forest”. The universal paradigm is revealed by the improved complex model of research monitoring of ecological parameters of water “program – intelligent technology (IT) and IS – methodology”. The informational security model of the three-layers structure of the Internet of Things based on the concept “object – threat – protection” provides secure interaction between sensors and devices for ecological monitoring of environmental parameters with computer systems. The created paradigm is the basis for the development of approaches to safe intellectualization of ecological monitoring of environmental components using intelligent systems and technologies to ensure basic safety profiles
Stability of positive impulse switched linear systems

In this paper, the stability of positive impulse switched linear systems (PISLSs) with disturbance is studied. Firstly, by introducing a class of weakly switched linear co-positive Lyapunov function, a time-dependent switching rule is designed, and the asymptotic stability criterion of a class of positive impulse switched linear systems is given. Secondly, in order to consider the impulse effect, by controlling the impulse within a reasonable range, the linear co-positive Lyapunov function is established and sufficient conditions for the stability of the system are obtained. Finally, a numerical example demonstrates the superiority of the computational results.
Exploring exchange mechanisms with a cold atom gas

Fermionic atoms trapped in a double-well potential are an ideal setting to study fundamental exchange mechanisms. We use exact diagonalization and complementary analytic calculations to demonstrate that two trapped fermions deliver a minimal model of the direct-exchange mechanism. This is an ideal quantum simulator of the Heisenberg antiferromagnet, exposes the competition between covalent and ionic bonding, and can create, manipulate, and detect quantum entanglement. Three trapped atoms form a faithful simulator of the double-exchange mechanism that is the fundamental building block behind many Heisenberg ferromagnets.
Physical Therapy Programs in Older Adults with Coronary Artery Disease: Preferences to Technology-Based Cardiac Physical Therapy Programs

(1) Background: Assessing preferences in technology-based cardiac physical therapy programs in older adults with coronary artery disease (CAD) is fundamental to promoting adherence to healthy lifestyles and healthy aging. This study aimed at analyzing preferences in technology-based cardiac physical therapy programs in older adults with CAD. Additionally, a comparison by sex was performed. (2) Methods: Cross-sectional study. 70 older adults with CAD (mean age 66.73 ± 0.77, 80% men) were evaluated. Technology use and preferences in technology-based cardiac physical therapy programs (Technology Usage Questionnaire) were assessed. (3) Results: 97.1% of the sample had Smartphones and 81.4% accessed the Internet every day, mostly with their Smartphones (75.5%). A total of 54.3% were interested in receiving rehabilitation via their Smartphone, and most of the sample considered ideas to manage stress (92.9%), healthy meal ideas and recipes (85.7%), exercise ideas (84.3%), exercise prompts (72.9%), setting goals (67.1%), exercise taught by a virtual therapist (65.7%), ideas to overcome cigarette cravings (62.9%), information on local exercise opportunities (60%), ideas to remember to take medications (57.1%), steps to achieve goals (54.3%) and eating tips for takeaways (51.7%) very useful. Additionally, men considered the technology-based advice about exercise prompts, healthy meal ideas and recipes, and ideas to manage stress more useful than women, and had more frequently a Smartphone, less frequently made phone calls, had more regular access to the Internet, and used the Internet more often. (4) Conclusions: Clinicians should encourage older adults to engage in cardiac technology-based physical therapy programs to provide meaningful exercise counselling, promote healthy lifestyle and healthy aging.
Warped compactification on curved manifolds

The characterization of a six- (or seven)-dimensional internal manifold with metric as having positive, zero or negative curvature is expected to be an important aspect of warped compactifications in supergravity. In this context, Douglas and Kallosh recently pointed out that a compact internal space with negative curvature could help us to construct four-dimensional de Sitter solutions only if the extra dimensions are strongly warped or there are large stringy corrections. That is, the problem of finding four-dimensional de Sitter solutions is well posed, if all extra dimensions are physically compact, which is called a no-go theorem. Here, we show that the above conclusion does not extend to a general class of warped compactifications in classical supergravity that allow a non-compact direction or cosmological solutions for which the internal space is asymptotic to a cone over a product of compact Einstein spaces or spheres. For clarity, we present classical solutions that compactify higher dimensional spacetime to produce a Robertson–Walker universe with de Sitter-type expansion plus one extra non-compact direction. Such models are found to admit both an effective four-dimensional Newton constant that remains finite and a normalizable zero-mode graviton wavefunction. We also exhibit the possibility of obtaining 4D de Sitter solutions by including the effect of fluxes (p-form field strengths).
One-dimensional Hubbard model with pair-hopping term: Pair-density wave, pair-superconductor and orthogonal metal

As the simplest non-Fermi liquids, orthogonal metals have gapped single-particle excitations but show normal metallic behaviors in thermodynamic and transport quantities. Such an exotic metallic state could be realized in a Hubbard model with pair-hopping term. However, it is difficult to solve this model in higher dimension, here we focus on its one-dimension version, in which a powerful U(1) abelian bosonization technique is available to capture \textit{analytically} its universal low-energy physics. It is found that the one-dimensional system is unable to provide an appropriate precursor for the desirable orthogonal metals in higher dimension and the occurrence of the featureless orthogonal metallic phase needs \textit{at least} a quasi-one-dimensional multi-leg ladder model. Nevertheless, two interesting quantum liquid phases are identified for the present one-dimensional model, namely, pair-density wave (PDW) state and pair-superconducting (PSC) state. The former describes the charge-density-wave order of cooper pairs while the latter shows the superfluidity of two cooper pairs. Needing not any explicit calculation, these two phases could have further implications in the two-dimensional case, namely, the PDW state may give rise to quantum electron liquid crystal states, which is believed to be responsible for the complex pseudogap phase in cuprate, and the PSC state with charge 4e can be related to certain nematic superconducting state. These predications call for further investigation on this model in higher dimension by available analytical methods and/or numerical calculations.
Attention augmented residual autoencoder for efficient polyp segmentation

Colon cancer has been reported to be one of the frequently diagnosed cancers and the leading cause of cancer deaths. Early detection and removal of malicious polyps, which are precursors of colon cancer, can enormously lessen the fatality rate. The detection and segmentation of polyps in colonoscopy is a challenging task even for an experienced colonoscopist, due to divergences in the size, shape, texture, and the close resemblance of polyps with the colon lining. Machine‐assisted detection, localization, and segmentation of polyps in the screening procedure can profoundly help the clinicians. Autoencoder‐based architectures used in polyp segmentation lack the efficiency in incorporating both local and long‐range pixel dependencies. To address the challenges in the automatic segmentation of colon polyps we propose an autoencoder architecture, augmented with a feature attention module in the decoder part. The salient features from RGB colonoscopic images are extracted using the residual skip‐connected autoencoder. The decoder attention module joins spatial subspace with feature subspace extracted from the deep residual convolutional neural network and enhances the feature weight for precise segmentation of polyp regions. Extensive experiments on four publicly available polyp datasets demonstrate that the proposed architecture provides very impressive performance in terms of segmentation metrics (Dice scores and Jaccard scores) when compared with the state‐of‐the‐art polyp segmentation approaches.
Use of Ultrasound for Evaluation of a Large Undifferentiated Pleomorphic Sarcoma in the Lower Extremity of an Elderly Male

Soft tissue sarcomas arise infrequently and make up less than 1% of all cancers. An undifferentiated pleomorphic sarcoma (UPS), formerly known as a malignant fibrous histiocytoma, is a malignant subtype of soft tissue sarcoma identified by a lack of specific immunohistochemical markers for lineage differentiation. These tumors are aggressive and enlarge rapidly with an increased risk of metastasis, thus prompt diagnosis, treatment, and post-resection surveillance are imperative. This case report demonstrates an incidental finding of a large undifferentiated pleomorphic sarcoma of the posterior thigh in an 86-year-old male initially evaluated with a bedside ultrasound.
Tracing Forum Posts to MOOC Content using Topic Analysis

Massive Open Online Courses are educational programs that are open and accessible to a large number of people through the internet. To facilitate learning, MOOC discussion forums exist where students and instructors communicate questions, answers, and thoughts related to the course. The primary objective of this paper is to investigate tracing discussion forum posts back to course lecture videos and readings using topic analysis. We utilize both unsupervised and supervised variants of Latent Dirichlet Allocation (LDA) to extract topics from course material and classify forum posts. We validate our approach on posts bootstrapped from five Coursera courses and determine that topic models can be used to map student discussion posts back to the underlying course lecture or reading. Labeled LDA outperforms unsupervised Hierarchical Dirichlet Process LDA and base LDA for our traceability task. This research is useful as it provides an automated approach for clustering student discussions by course material, enabling instructors to quickly evaluate student misunderstanding of content and clarify materials accordingly.
Problèmes de switching optimal, équations différentielles stochastiques rétrogrades et équations différentielles partielles intégrales.

Cette these est composee de trois parties. Dans la premiere nous montrons l'existence et l'unicite de la solution continue et a croissance polynomiale, au sensviscosite, du systeme non lineaire de m equations variationnelles de type integro-differentiel a obstacles unilateraux interconnectes. Ce systeme est lie au probleme du switching optimal stochastique lorsque le bruit est dirige par un processus de Levy. Un cas particulier du systeme correspond en effet a l’equation d’Hamilton-Jacobi-Bellman associe au probleme du switching et la solution de ce systeme n’est rien d’autre que la fonction valeur du probleme. Ensuite, nous etudions un systeme d’equations integro-differentielles a obstacles bilateraux interconnectes. Nous montrons l’existence et l’unicite des solutions continus a croissance polynomiale, au sens viscosite, des systemes min-max et max-min. La demarche conjugue les systemes d’EDSR reflechies ainsi que la methode de Perron. Dans la derniere partie nous montrons l’egalite des solutions des systemes max-min et min-max d’EDP lorsque le bruit est uniquement de type diffusion. Nous montrons que si les couts de switching sont assez reguliers alors ces solutions coincident. De plus elles sont caracterisees comme fonction valeur du jeu de switching de somme nulle.
Optical Chirality Flux as a Useful Far-Field Probe of Chiral Near Fields

To optimize the interaction between chiral matter and highly twisted light, quantities that can help characterize chiral electromagnetic fields near nanostructures are needed. Here, by analogy with Poynting’s theorem, we formulate the time-averaged conservation law of optical chirality in lossy dispersive media and identify the optical chirality flux as an ideal far-field observable for characterizing chiral optical near fields. Bounded by the conservation law, we show that it provides precise information, unavailable from circular dichroism spectroscopy, on the magnitude and handedness of highly twisted fields near nanostructures.
Black hole entropy for the general area spectrum

We consider the possibility that the horizon area is expressed by the general area spectrum in loop quantum gravity when we leave off the semiclassical consideration. To check this idea, we calculate the number of degrees of freedom in spin-network states related to its area. We obtain that logarithm of this number is proportional to its area as in previous works where the simplified area formula has been used. Our result shows that we should be careful in justifying (or falsifying) the area spectrum if we respect to leave off the semiclassical consideration.
Holographic Gauge Theory with Maxwell Magnetic Field

We first apply the transformation of mixing azimuthal with wrapped coordinate to the 11D M-theory with a stack N M5-branes to find the spacetime of a stack of N D4-branes with magnetic field in 10D IIA string theory, after the Kaluza-Klein reduction. In the near-horizon limit the background becomes the Melvin magnetic field deformed AdS6×S. Although the solution represents the D-branes under the Melvin RR one-form we use a simple observation to see that it also describes the solution of D-branes under the Maxwell magnetic field. As the magnetic field we consider is the part of the background itself we have presented an alternative to previous literature, because our method does not require the assumption of negligible back reaction. Next, we use the found solution to investigate the meson property through D4/D8 system (Sakai-Sugimoto model) and compare it with those studied by other authors. Finally, we present a detailed analysis about the Wilson loop therein and results show that the external Maxwell magnetic field will enhance the quark-antiquark potential.
Geometric phase and quantum phase transition in an inhomogeneous periodic XY spin-1/2 model

The notion of geometric phase has been recently introduced to analyze the quantum phase transitions of many-body systems from the geometrical perspective. In this work, we study the geometric phase of the ground state for an inhomogeneous period-two anisotropic XY model in a transverse field. This model encompasses a group of familiar spin models as its special cases and shows a richer critical behavior. The exact solution is obtained by mapping on a fermionic system through the Jordan-Wigner transformation and constructing the relevant canonical transformation to realize the diagonalization of the Hamiltonian coupled in the k space. The results show that there may exist more than one quantum phase transition point at some parameter regions and these transition points correspond to the divergence or extremum properties of the Berry curvature.
Formation and long-term evolution of 3D vortices in protoplanetary discs

Context. In the context of planet formation, anticyclonic vortices have recently received much attention for the role they can play in planetesimal formation. Radial migration of intermediate-size solids towards the central star may prevent them from growing to larger solid grains. On the other hand, vortices can trap the dust and accelerate this growth, counteracting fast radial transport. Several effects have been shown to affect this scenario, such as vortex migration or decay. Aims: We aim to study the formation of vortices by the Rossby wave instability and their long-term evolution in a full three-dimensional (3D) protoplanetary disc. Methods: We used a robust numerical scheme combined with adaptive mesh refinement in cylindrical coordinates, which allowed us to affordably compute long-term 3D evolutions. We considered a full disc radially and vertically stratified, in which vortices can be formed by the Rossby wave instability. Results: We show that the 3D Rossby vortices grow and survive over hundreds of years without migration. The localised overdensity that initiated the instability and vortex formation survives the growth of the Rossby wave instability for very long times. When the vortices are no longer sustained by the Rossby wave instability, their shape changes towards more elliptical vortices. This allows them to survive shear-driven destruction, but they may be prone to elliptical instability and slow decay. Conclusions: When the conditions for growing Rossby-wave-related instabilities are maintained in the disc, large-scale vortices can survive over very long timescales and may be able to concentrate solids.
Perturbations to the Cosmological Expansion in a Grainy Universe

The matter content of the Universe is generally regarded as a perfect fluid on sufficiently large scales, for all epochs. But the recent cosmological matter distribution, consisting of an (ideally) random distribution of gravitationally collapsed structures, is more accurately described as a collection of discrete grains, than as a fluid. It is well known that granular materials may have very different macroscopic properties than fluids; analogously, we investigate the possibility that pervasive small-scale inhomogeneities in the recent Universe may lead to perturbations of the cosmological expansion on intermediate and/or large scales.