cometadata/datacite-rtg-text-other-reclassification-records huggingface dataset:
Data-Driven Control of Distributed Event-Triggered Network Systems
Creators: name: Wang, Xin
name: Sun, Jian
name: Wang, Gang
name: Allgöwer, Frank
name: Chen, Jie
Publisher: name: arXiv
Year: 2022
Subjects: subject: Systems and Control (eess.SY)
subject: FOS: Electrical engineering, electronic engineering, information engineering

description: The present paper deals with data-driven event-triggered control of a class of unknown discrete-time interconnected systems (a.k.a. network systems). To this end, we start by putting forth a novel distributed event-triggering transmission strategy based on periodic sampling, under which a model-based stability criterion for the closed-loop network system is derived, by leveraging a discrete-time looped-functional approach. Marrying the model-based criterion with a data-driven system representation recently developed in the literature, a purely data-driven stability criterion expressed in the form of linear matrix inequalities (LMIs) is established. Meanwhile, the data-driven stability criterion suggests a means for co-designing the event-triggering coefficient matrix and the feedback control gain matrix using only some offline collected state-input data. Finally, numerical results corroborate the efficacy of the proposed distributed data-driven ETS in cutting off data transmissions and the co-design procedure.
description: 13 pages, 8 figures
The tipping point: a mathematical model for the profit-driven abandonment of restaurant tipping
Creators: name: Clifton, Sara M.
name: Herbers, Eileen
name: Chen, Jack
name: Abrams, Daniel M.
Publisher: name: arXiv
Year: 2017
Subjects: subject: General Economics (econ.GN)
subject: FOS: Economics and business

description: The custom of voluntarily tipping for services rendered has gone in and out of fashion in America since its introduction in the 19th century. Restaurant owners that ban tipping in their establishments often claim that social justice drives their decisions, but we show that rational profit-maximization may also justify the decisions. Here, we propose a conceptual model of restaurant competition for staff and customers, and we show that there exists a critical conventional tip rate at which restaurant owners should eliminate tipping to maximize profit. Because the conventional tip rate has been increasing steadily for the last several decades, our model suggests that restaurant owners may abandon tipping en masse when that critical tip rate is reached.
description: 14 pages, 5 figures, supplementary material included
Oscillatory relaxation of zonal flows in a multi-species stellarator plasma
Creators: name: Sánchez, E.
name: Calvo, I.
name: Velasco, J. L.
name: Medina, F.
name: Alonso, A.
name: Monreal, P.
name: Kleiber, R.
name: team, the TJ-II
Publisher: name: arXiv
Year: 2018
Subjects: subject: Plasma Physics (physics.plasm-ph)
subject: FOS: Physical sciences

description: The low frequency oscillatory relaxation of zonal potential perturbations is studied numerically in the TJ-II stellarator (where it was experimentally detected for the first time). It is studied in full global gyrokinetic simulations of multi-species plasmas. The oscillation frequency obtained is compared with predictions based on single-species simulations using simplified analytical relations. It is shown that the frequency of this oscillation for a multi-species plasma can be accurately obtained from single-species calculations using extrapolation formulas. The damping of the oscillation and the influence of the different inter-species collisions is studied in detail. It is concluded that taking into account multiple kinetic ions and electrons with impurity concentrations realistic for TJ-II plasmas allows to account for the values of frequency and damping rate in zonal flows relaxations observed experimentally.
description: 11 figures, 22 pages
Scalar extension Hopf algebroids
Creators: name: Stojić, Martina
Publisher: name: arXiv
Year: 2022
Subjects: subject: Quantum Algebra (math.QA)
subject: Rings and Algebras (math.RA)
subject: FOS: Mathematics
subject: 16T10, 16T99

description: Given a Hopf algebra $H$, Brzeziński and Militaru have shown that each braided commutative Yetter-Drinfeld $H$-module algebra $A$ gives rise to an associative $A$-bialgebroid structure on the smash product algebra $A \sharp H$. They also exhibited an antipode map making $A\sharp H$ the total algebra of a Lu's Hopf algebroid over $A$. However, the published proof that the antipode is an antihomomorphism covers only a special case. In this paper, a complete proof of the antihomomorphism property is exhibited. Moreover, a new generalized version of the construction is provided. Its input is a compatible pair $A$ and $A^{\mathrm{op}}$ of braided commutative Yetter-Drinfeld $H$-module algebras, and output is a symmetric Hopf algebroid $A\sharp H \cong H\sharp A^{\mathrm{op}}$ over $A$. This construction does not require that the antipode of $H$ is invertible.
description: 34 pages; in version 2: change of numbering of theorems, propositions, etc. to agree with the version published in Journal of Algebra and Its Applications, minor corrections
Spectral spread and non-autonomous Hamiltonian diffeomorphisms
Creators: name: Sugimoto, Yoshihiro
Publisher: name: arXiv
Year: 2018
Subjects: subject: Symplectic Geometry (math.SG)
subject: FOS: Mathematics
subject: 53D05, 53D35, 53D40

description: For any symplectic manifold, Hamiltonian diffeomorphism group contains a subset which consists of times one flows of autonomous(time-independent) Hamiltonian vector fields. Polterovich and Shelukhin proved that the complement of autonomous Hamiltonian diffeomorphisms is dense in C^/infty-topology and Hofer's metric if the symplectic manifold is closed symplectically aspherical. In this paper, we generalize above theorem to general closed symplectic manifolds and general convex symplectic manifolds.
Ultrafast Structure Switching through Nonlinear Phononics
Creators: name: Juraschek, Dominik Maximilian
name: Fechner, Michael
name: Spaldin, Nicola Ann
Publisher: name: arXiv
Year: 2016
Subjects: subject: Materials Science (cond-mat.mtrl-sci)
subject: FOS: Physical sciences

description: We describe an ultrafast coherent control of the transient structural distortion arising from nonlinear phononics in ErFeO$_3$. Using density functional theory, we calculate the structural properties as input to an anharmonic phonon model that describes the response of the system to a pulsed optical excitation. We find that the trilinear coupling of two orthogonal infrared-active phonons to a Raman-active phonon causes a transient distortion of the lattice. The direction of the distortion is determined by the polarization of the exciting light, suggesting a route to nonlinear phononic lattice control and switching. Since the occurrence of the coupling is determined by the symmetry of the system we propose that it is a universal feature of orthorhombic and tetragonal perovskites.
Canonical decomposition of dissipative linear relations
Creators: name: Rios-Cangas, Josué I.
Publisher: name: arXiv
Year: 2018
Subjects: subject: Functional Analysis (math.FA)
subject: Mathematical Physics (math-ph)
subject: FOS: Mathematics
subject: FOS: Physical sciences

description: On the basis of Sz. Nagy-Foiaş-Langer and von Neumann-Wold decompositions, two decompositions for dissipative linear relations are given and they are realized by transforming invariant subspaces for contractions, by means of the Z transform. These decompositions permit the separation of the selfadjoint and completely nonselfadjoint parts of a dissipative relation.
description: 19 pages
Applications of the algebraic geometry of the Putman-Wieland conjecture
Creators: name: Landesman, Aaron
name: Litt, Daniel
Publisher: name: arXiv
Year: 2022
Subjects: subject: Algebraic Geometry (math.AG)
subject: Geometric Topology (math.GT)
subject: FOS: Mathematics
subject: 14H10, 14H45, 57K20

description: We give two applications of our prior work toward the Putman-Wieland conjecture. First, we deduce a strengthening of a result of Marković-Tošić on virtual mapping class group actions on the homology of covers. Second, let $g\geq 2$ and let $Σ_{g',n'}\to Σ_{g, n}$ be a finite $H$-cover of topological surfaces. We show the virtual action of the mapping class group of $Σ_{g,n+1}$ on an $H$-isotypic component of $H^1(Σ_{g'})$ has non-unitary image.
description: 21 pages, comments welcome! Typo fixes; updated in light of arXiv:2209.12958
Fully guided electrically-controlled exciton polaritons
Creators: name: Liran, Dror
name: Rosenberg, Itamar
name: West, Kenneth
name: Pfeiffer, Loren
name: Rapaport, Ronen
Publisher: name: arXiv
Year: 2018
Subjects: subject: Mesoscale and Nanoscale Physics (cond-mat.mes-hall)
subject: FOS: Physical sciences

description: We demonstrate two types of waveguide structures which optically confine exciton- polaritons in two dimensions and act as polaritonic channels. We show a strong optical confinement in an etched rectangular waveguide, that significantly increases the propa- gation distance of the polaritons and allow to direct them in curved trajectories. Also, we show low-loss optical guiding over a record-high of hundreds of microns which is com- bined seamlessly with electrical control of the polaritons, in a strip waveguide formed by electrically conductive and optically transparent strips deposited on top of a planar waveguide. Both structures are scalable and easy to fabricate and offer new possibilities for designing complex polaritonic devices.
description: 12 pages 3 Figuers
Exponential decay of correlations for a real-valued dynamical system generated by a k dimensional system
Creators: name: Jager, Lisette
name: Maes, Jules
name: Ninet, Alain
Publisher: name: arXiv
Year: 2016
Subjects: subject: Dynamical Systems (math.DS)
subject: FOS: Mathematics

description: We study the real, bounded-variables process (X_n) defined by a k-term recurrence relation X_{n+k} =ϕ(X_n, ... , X_{n+k-1}). We prove the decay of correlations, mainly under purely analytic hypotheses concerning the function ϕ and its partial derivatives.
description: This paper deals with a k term recurrence relation, whereas a previous submission (1412.2644) treated the case when k=2
Extending the Universal Approximation Theorem for a Broad Class of Hypercomplex-Valued Neural Networks
Creators: name: Vital, Wington L.
name: Vieira, Guilherme
name: Valle, Marcos Eduardo
Publisher: name: arXiv
Year: 2022
Subjects: subject: Machine Learning (cs.LG)
subject: FOS: Computer and information sciences

description: The universal approximation theorem asserts that a single hidden layer neural network approximates continuous functions with any desired precision on compact sets. As an existential result, the universal approximation theorem supports the use of neural networks for various applications, including regression and classification tasks. The universal approximation theorem is not limited to real-valued neural networks but also holds for complex, quaternion, tessarines, and Clifford-valued neural networks. This paper extends the universal approximation theorem for a broad class of hypercomplex-valued neural networks. Precisely, we first introduce the concept of non-degenerate hypercomplex algebra. Complex numbers, quaternions, and tessarines are examples of non-degenerate hypercomplex algebras. Then, we state the universal approximation theorem for hypercomplex-valued neural networks defined on a non-degenerate algebra.
Totally disconnected groups (not) acting on two-manifolds
Creators: name: Pardon, John
Publisher: name: arXiv
Year: 2018
Subjects: subject: Geometric Topology (math.GT)
subject: FOS: Mathematics

description: We briefly survey the Hilbert--Smith Conjecture, and we include a proof of it in dimension two (where it is originally due to Montgomery--Zippin).
description: 7 pages, 2 figures
Graph of groups decompositions of graph braid groups
Creators: name: Berlyne, Daniel
Publisher: name: arXiv
Year: 2022
Subjects: subject: Group Theory (math.GR)
subject: Metric Geometry (math.MG)
subject: FOS: Mathematics
subject: 20F65, 20F67, 20F36

description: We provide an explicit construction that allows one to easily decompose a graph braid group as a graph of groups. This allows us to compute the braid groups of a wide range of graphs, as well as providing two general criteria for a graph braid group to split as a non-trivial free product, answering two questions of Genevois. We also use this to distinguish certain right-angled Artin groups and graph braid groups. Additionally, we provide an explicit example of a graph braid group that is relatively hyperbolic, but is not hyperbolic relative to braid groups of proper subgraphs. This answers another question of Genevois in the negative.
description: Version accepted for publication. Several minor corrections and clarifications have been made and new classes of examples have been added. Code is also available, implementing algorithms in this paper to compute free splittings and presentations of graph braid groups; see https://github.com/danberlyne/graph-braid-splitter and https://github.com/danberlyne/graph-braid-presenter
Delayed hepatic uptake of multi-phosphonic acid poly(ethylene glycol) coated iron oxide measured by real-time Magnetic Resonance Imaging
Creators: name: Ramniceanu, G.
name: Doan, B. -T.
name: Vezignol, C.
name: Graillot, A.
name: Loubat, C.
name: Mignet, N.
name: Berret, J. -F.
Publisher: name: arXiv
Year: 2016
Subjects: subject: Biomolecules (q-bio.BM)
subject: Biological Physics (physics.bio-ph)
subject: FOS: Biological sciences
subject: FOS: Physical sciences

description: We report on the synthesis, characterization, stability and pharmacokinetics of novel iron based contrast agents for magnetic resonance imaging (MRI). Statistical copolymers combining multiple phosphonic acid groups and poly(ethylene glycol) (PEG) were synthesized and used as coating agents for 10 nm iron oxide nanocrystals. In vitro, protein corona and stability assays show that phosphonic acid PEG copolymers outperform all other coating types examined, including low molecular weight anionic ligands and polymers. In vivo, the particle pharmacokinetics is investigated by monitoring the MRI signal intensity from mouse liver, spleen and arteries as a function of the time, between one minute and seven days after injection. Iron oxide particles coated with multi-phosphonic acid PEG polymers are shown to have a blood circulation lifetime of 250 minutes, i.e. 10 to 50 times greater than that of recently published PEGylated probes and benchmarks. The clearance from the liver takes in average 2 to 3 days and is independent of the core size, coating and particle stability. By comparing identical core particles with different coatings, we are able to determine the optimum conditions for stealth MRI probes.
description: 19 pages 8 figures, RSC Advances, 2016
Condenser capacities and capacitary potentials for unbounded sets, and global p-harmonic Green functions on metric spaces
Creators: name: Björn, Anders
name: Björn, Jana
Publisher: name: Taylor & Francis
Year: 2025
Subjects: subject: Biochemistry
subject: Physical Sciences not elsewhere classified
subject: Cell Biology
subject: Neuroscience
subject: Biotechnology
subject: Evolutionary Biology
subject: FOS: Biological sciences
subject: Chemical Sciences not elsewhere classified
subject: Immunology
subject: FOS: Clinical medicine
subject: Cancer
subject: Mental Health
subject: Infectious Diseases
subject: FOS: Health sciences
subject: Computational Biology

description: We study the condenser capacity capp⁡(E, Ω) on unbounded open sets Ω in a proper connected metric space X equipped with a locally doubling measure supporting a local p-Poincaré inequality, where 1
p is countably subadditive and that it is a Choquet capacity. We next obtain formulas for the capacity of superlevel sets for the capacitary potential. These are then used to show that p-harmonic Green functions exist in an unbounded domain Ω if and only if either X is p-hyperbolic or the Sobolev capacity Cp(X∖Ω)>0. As an application, we deduce new results for Perron solutions and boundary regularity for the Dirichlet boundary value problem for p-harmonic functions in unbounded open sets.
High-temperature miscibility of iron and rock during terrestrial planet formation
Creators: name: Wahl, Sean M
name: Militzer, Burkhard
Publisher: name: arXiv
Year: 2016
Subjects: subject: Earth and Planetary Astrophysics (astro-ph.EP)
subject: FOS: Physical sciences

description: The accretion of a terrestrial body and differentiation of its silicate/oxide mantle from iron core provide abundant energy for heating its interior to temperatures much higher than the present day Earth. The consequences of differentiation on the structure and composition of planets are typically addressed considering only the interaction of molten iron with an immiscible `rocky' phase. We demonstrate that mixing in a representative system of liquid or solid MgO and liquid iron to a single homogeneous liquid occurs at sufficiently low temperature to be present in the aftermath of a giant impact. Applying the thermodynamic integration technique to density functional theory molecular dynamics simulations, we determine the solvus closure temperature for the Fe-MgO system for pressures up to 400 GPa. Solvus closure occurs at $\sim$4000 K at low pressure, and has a weak positive pressure dependence, such that its gradient with respect to depth is less steep than an adiabatic temperature profile. This predicts a new mode of core-mantle differentiation following the most energetic giant impacts, with exsolution of iron from the mixture beginning in the outer layers of the planet. We demonstrate that high-temperature equilibration results in delivery of nominally insoluble Mg-rich material to the early core. Since MgO is the least soluble major mantle component in iron at low temperatures, these results may represent an upper bound on temperature for mixing in terrestrial planets.
description: 10 pages, 9 figures, supplementary material
Dynamic Hybrid Beamforming Design for Dual-Function Radar-Communication Systems
Creators: name: Wang, Bowen
name: Li, Hongyu
name: Cheng, Ziyang
Publisher: name: arXiv
Year: 2022
Subjects: subject: Signal Processing (eess.SP)
subject: FOS: Electrical engineering, electronic engineering, information engineering

description: This paper investigates dynamic hybrid beamforming (HBF) for a dual-function radar-communication (DFRC) system, where the DFRC base station (BS) simultaneously serves multiple single-antenna users and senses a target in the presence of multiple clutters. Particularly, we apply a HBF architecture with dynamic subarrays and double phase shifters in the DFRC BS. Aiming at maximizing the radar mutual information, we consider jointly designing the dynamic HBF of the DFRC system, subject to the constraints of communication quality of service (QoS), transmit power, and analog beamformer. To solve the complicated non-convex optimization, an efficient alternating optimization algorithm based on the majorization-minimization methods is developed. Simulation results verify the advancement of the considered HBF architecture and the effectiveness of the proposed design method.
Monitoring induced distributed double-couple sources using Marchenko-based virtual receivers
Creators: name: Brackenhoff, Joeri
name: Thorbecke, Jan
name: Wapenaar, Kees
Publisher: name: arXiv
Year: 2019
Subjects: subject: Geophysics (physics.geo-ph)
subject: FOS: Physical sciences

description: We aim to monitor and characterize signals in the subsurface by combining these passive signals with recorded reflection data at the surface of the Earth. To achieve this, we propose a method to create virtual receivers from reflection data using the Marchenko method. By applying homogeneous Green's function retrieval, these virtual receivers are then used to monitor the responses from subsurface sources. We consider monopole point sources with a symmetric source signal, where the full wavefield without artefacts in the subsurface can be obtained. Responses from more complex source mechanisms, such as double-couple sources, can also be used and provide results with comparable quality as the monopole responses. If the source signal is not symmetric in time, our technique that is based on homogeneous Green's function retrieval provides an incomplete signal, with additional artefacts. The duration of these artefacts is limited and they are only present when the source of the signal is located above the virtual receiver. For sources along a fault rupture, this limitation is also present and more severe due to the source activating over a longer period of time. Part of the correct signal is still retrieved, as well as the source location of the signal. These artefacts do not occur in another method which creates virtual sources as well as receivers from reflection data at the surface. This second method can be used to forecast responses to possible future induced seismicity sources (monopoles, double-couple sources and fault ruptures). This method is applied to field data, where similar results to synthetic data are achieved, which shows the potential for the application on real data signals.
Axial charges of hyperons and charmed baryons using $N_f=2+1+1$ twisted mass fermions
Creators: name: Alexandrou, C.
name: Hadjiyiannakou, K.
name: Kallidonis, Ch.
Publisher: name: arXiv
Year: 2016
Subjects: subject: High Energy Physics - Lattice (hep-lat)
subject: High Energy Physics - Phenomenology (hep-ph)
subject: Nuclear Theory (nucl-th)
subject: FOS: Physical sciences

description: The axial couplings of the low lying baryons are evaluated using a total of five ensembles of dynamical twisted mass fermion gauge configurations. The simulations are performed using the Iwasaki gauge action and two degenerate flavors of light quarks, and a strange and a charm quark fixed to approximately their physical values at two values of the coupling constant. The lattice spacings, determined using the nucleon mass, are $a=0.082$ fm and $a=0.065$ fm and the simulations cover a pion mass in the range of about 210 MeV to 430 MeV. We study the dependence of the axial couplings on the pion mass in the range of about 210 MeV to 430 MeV as well as the $SU(3)$ breaking effects as we decrease the light quark mass towards its physical value.
description: 34 pages, 17 figures
Model-Checking on Ordered Structures
Creators: name: Eickmeyer, Kord
name: Heuvel, Jan van den
name: Kawarabayashi, Ken-ichi
name: Kreutzer, Stephan
name: de Mendez, Patrice Ossona
name: Pilipczuk, Michał
name: Quiroz, Daniel A.
name: Rabinovich, Roman
name: Siebertz, Sebastian
Publisher: name: arXiv
Year: 2018
Subjects: subject: Logic in Computer Science (cs.LO)
subject: Discrete Mathematics (cs.DM)
subject: Data Structures and Algorithms (cs.DS)
subject: Combinatorics (math.CO)
subject: FOS: Computer and information sciences
subject: FOS: Mathematics

description: We study the model-checking problem for first- and monadic second-order logic on finite relational structures. The problem of verifying whether a formula of these logics is true on a given structure is considered intractable in general, but it does become tractable on interesting classes of structures, such as on classes whose Gaifman graphs have bounded treewidth. In this paper we continue this line of research and study model-checking for first- and monadic second-order logic in the presence of an ordering on the input structure. We do so in two settings: the general ordered case, where the input structures are equipped with a fixed order or successor relation, and the order invariant case, where the formulas may resort to an ordering, but their truth must be independent of the particular choice of order. In the first setting we show very strong intractability results for most interesting classes of structures. In contrast, in the order invariant case we obtain tractability results for order-invariant monadic second-order formulas on the same classes of graphs as in the unordered case. For first-order logic, we obtain tractability of successor-invariant formulas on classes whose Gaifman graphs have bounded expansion. Furthermore, we show that model-checking for order-invariant first-order formulas is tractable on coloured posets of bounded width.
description: arXiv admin note: substantial text overlap with arXiv:1701.08516
Singular SRB measures for a non 1--1 map of the unit square
Creators: name: Góra, Pawel
name: Boyarsky, Abraham
name: Li, Zhenyang
Publisher: name: arXiv
Year: 2016
Subjects: subject: Dynamical Systems (math.DS)
subject: FOS: Mathematics
subject: 37A05, 37A10, 37E30, 37D20, 37D30

description: We consider a map of the unit square which is not 1--1, such as the memory map studied in \cite{MwM1}. Memory maps are defined as follows: $x_{n+1}=M_α(x_{n-1},x_{n})=τ(α\cdot x_{n}+(1-α)\cdot x_{n-1}),$ where $τ$ is a one-dimensional map on $I=[0,1]$ and $0
The Effect of Aging and Executive Function on the Context Illusion
Creators: name: Resa, Mia
Publisher: name: University of Chicago
Year: 2022
Subjects: subject: Context Reinstatement
subject: Cognitive Aging
subject: False Memory
subject: Executive/Frontal Lobe Function
subject: Context Illusion

description: Reinstating contextual details from an event—or context reinstatement—often aids memory retrieval, but recent work from our lab has revealed that it can also systemically distort memory (Doss et al., 2018; 2020). We have found that presenting younger adult participants with the same context (e.g., background scenes) during encoding and retrieval not only boosted memory for studied objects (hit rates), but also boosted false recognition of similar objects that were not studied (false alarms). Building on this finding, the current study aimed to identify the underlying mechanisms of this “context illusion” effect. More specifically, the current project sought to determine whether the context illusion is driven by explicit or implicit processes while also examining the impact of aging on these effects. While our previous results establish the reliability of the context illusion in younger adults, the extent that this illusion is impacted by aging is poorly understood. Determining the effect of aging is imperative because context reinstatement has been suggested as a useful way to overcome memory decline with aging. In the present study, the context illusion task (Doss et al., 2018) and a modified DRM task (Gray & Gallo, 2016) were administered to online participants with varying levels of executive function (high or low) to determine whether the context illusion effect relies on explicit memory-monitoring processes or implicit fluency. Data collection is still underway; however, preliminary results show successful replication of the context illusion effect in older adults and suggest these two memory illusion tasks may not share underlying processes.
Distributed Algorithm for Continuous-type Bayesian Nash Equilibrium in Subnetwork Zero-sum Games
Creators: name: Zhang, Hanzheng
name: Chen, Guanpu
name: Hong, Yiguang
Publisher: name: arXiv
Year: 2022
Subjects: subject: Optimization and Control (math.OC)
subject: FOS: Mathematics

description: In this paper, we consider a continuous-type Bayesian Nash equilibrium (BNE) seeking problem in subnetwork zero-sum games, which is a generalization of deterministic subnetwork zero-sum games and discrete-type Bayesian zero-sum games. In this continuous-type model, because the feasible strategy set is composed of infinite-dimensional functions and is not compact, it is hard to seek a BNE in a non-compact set and convey such complex strategies in network communication. To this end, we design two steps to overcome the above bottleneck. One is a discretization step, where we discretize continuous types and prove that the BNE of the discretized model is an approximate BNE of the continuous model with an explicit error bound. The other one is a communication step, where we adopt a novel compression scheme with a designed sparsification rule and prove that agents can obtain unbiased estimations through compressed communication. Based on the above two steps, we propose a distributed communication-efficient algorithm to practicably seek an approximate BNE, and further provide an explicit error bound and an $O(\ln T/\sqrt{T})$ convergence rate.
description: Submitted to SIAM Journal on Control and Optimization
Interior Solutions of Fluid Sphere in f(R,T) Gravity Admitting Conformal Killing Vectors
Creators: name: Zubair, M.
name: Sardar, I. H.
name: Rahaman, F.
name: Abbas, G.
Publisher: name: arXiv
Year: 2016
Subjects: subject: General Relativity and Quantum Cosmology (gr-qc)
subject: FOS: Physical sciences

description: We discuss the interior solutions of fluid Sphere in f(R,T) gravity admitting conformal killing vectors, where R is Ricci scalar and T is trace of energy momentum tensor. The solutions corresponding to isotropic and anisotropic configurations have been investigated explicitly. Further, the anisotropic case has been dealt by the utilization of linear equation of state. The results for both cases have been interpreted graphically. The equation of state parameter, integration constants and other parameters of the theory have been chosen to find the central density equal to standard value of central density of the compact objects. The energy conditions as well as stability of the solutions have been investigated in the background of f(R,T) gravity.
description: 6 Pages, 6 Figures
Smoothing finite group actions on three-manifolds
Creators: name: Pardon, John
Publisher: name: arXiv
Year: 2019
Subjects: subject: Geometric Topology (math.GT)
subject: FOS: Mathematics
subject: 57M60, 57R10, 57S17, 57S10, 55M35, 57S05, 57M30, 57M50

description: We show that every continuous action of a finite group on a smooth three-manifold is a uniform limit of smooth actions.
description: Final version to appear in Duke Math Journal, 34 pages, 2 figures
Approximation and Non-parametric Estimation of ResNet-type Convolutional Neural Networks
Creators: name: Oono, Kenta
name: Suzuki, Taiji
Publisher: name: arXiv
Year: 2019
Subjects: subject: Machine Learning (stat.ML)
subject: Machine Learning (cs.LG)
subject: Statistics Theory (math.ST)
subject: FOS: Computer and information sciences
subject: FOS: Mathematics
subject: G.3
subject: 62G08

description: Convolutional neural networks (CNNs) have been shown to achieve optimal approximation and estimation error rates (in minimax sense) in several function classes. However, previous analyzed optimal CNNs are unrealistically wide and difficult to obtain via optimization due to sparse constraints in important function classes, including the Hölder class. We show a ResNet-type CNN can attain the minimax optimal error rates in these classes in more plausible situations -- it can be dense, and its width, channel size, and filter size are constant with respect to sample size. The key idea is that we can replicate the learning ability of Fully-connected neural networks (FNNs) by tailored CNNs, as long as the FNNs have \textit{block-sparse} structures. Our theory is general in a sense that we can automatically translate any approximation rate achieved by block-sparse FNNs into that by CNNs. As an application, we derive approximation and estimation error rates of the aformentioned type of CNNs for the Barron and Hölder classes with the same strategy.
description: Version 4: Fixed the constant B^{(fc)} in Theorems 1, 5 and the norm upper bound of w^{(l)}_m in Lemma 1. 8 pages + References 2 pages + Supplemental material 18 pages
A Belief Propagation Based Framework for Soft Multiple-Symbol Differential Detection
Creators: name: Wang, Chanfei
name: Lv, Tiejun
name: Gao, Hui
name: Yang, Shaoshi
Publisher: name: arXiv
Year: 2016
Subjects: subject: Information Theory (cs.IT)
subject: FOS: Computer and information sciences

description: Soft noncoherent detection, which relies on calculating the \textit{a posteriori} probabilities (APPs) of the bits transmitted with no channel estimation, is imperative for achieving excellent detection performance in high-dimensional wireless communications. In this paper, a high-performance belief propagation (BP)-based soft multiple-symbol differential detection (MSDD) framework, dubbed BP-MSDD, is proposed with its illustrative application in differential space-time block-code (DSTBC)-aided ultra-wideband impulse radio (UWB-IR) systems. Firstly, we revisit the signal sampling with the aid of a trellis structure and decompose the trellis into multiple subtrellises. Furthermore, we derive an APP calculation algorithm, in which the forward-and-backward message passing mechanism of BP operates on the subtrellises. The proposed BP-MSDD is capable of significantly outperforming the conventional hard-decision MSDDs. However, the computational complexity of the BP-MSDD increases exponentially with the number of MSDD trellis states. To circumvent this excessive complexity for practical implementations, we reformulate the BP-MSDD, and additionally propose a Viterbi algorithm (VA)-based hard-decision MSDD (VA-HMSDD) and a VA-based soft-decision MSDD (VA-SMSDD). Moreover, both the proposed BP-MSDD and VA-SMSDD can be exploited in conjunction with soft channel decoding to obtain powerful iterative detection and decoding based receivers. Simulation results demonstrate the effectiveness of the proposed algorithms in DSTBC-aided UWB-IR systems.
description: 14 pages, 12 figures, 3 tables, accepted to appear on IEEE Transactions on Wireless Communications, Aug. 2016
The sharp energy-capacity inequality on convex symplectic manifolds
Creators: name: Sugimoto, Yoshihiro
Publisher: name: arXiv
Year: 2019
Subjects: subject: Symplectic Geometry (math.SG)
subject: FOS: Mathematics

description: In symplectic geometry, symplectic invariants are useful tools in studying symplectic phenomena. Hofer-Zehnder capacity and displacement energy are important symplectic invariants. Usher proved the so-called sharp energy-capacity inequality between Hofer-Zehnder capacity and the displacement energy for closed symplectic manifolds. In this paper, we extend the sharp energy-capacity inequality to convex symplectic manifolds.
Learning NP-Hard Multi-Agent Assignment Planning using GNN: Inference on a Random Graph and Provable Auction-Fitted Q-learning
Creators: name: Kang, Hyunwook
name: Kwon, Taehwan
name: Park, Jinkyoo
name: Morrison, James R.
Publisher: name: arXiv
Year: 2019
Subjects: subject: Machine Learning (cs.LG)
subject: Artificial Intelligence (cs.AI)
subject: Multiagent Systems (cs.MA)
subject: Robotics (cs.RO)
subject: Machine Learning (stat.ML)
subject: FOS: Computer and information sciences

description: This paper explores the possibility of near-optimally solving multi-agent, multi-task NP-hard planning problems with time-dependent rewards using a learning-based algorithm. In particular, we consider a class of robot/machine scheduling problems called the multi-robot reward collection problem (MRRC). Such MRRC problems well model ride-sharing, pickup-and-delivery, and a variety of related problems. In representing the MRRC problem as a sequential decision-making problem, we observe that each state can be represented as an extension of probabilistic graphical models (PGMs), which we refer to as random PGMs. We then develop a mean-field inference method for random PGMs. We then propose (1) an order-transferable Q-function estimator and (2) an order-transferability-enabled auction to select a joint assignment in polynomial time. These result in a reinforcement learning framework with at least $1-1/e$ optimality. Experimental results on solving MRRC problems highlight the near-optimality and transferability of the proposed methods. We also consider identical parallel machine scheduling problems (IPMS) and minimax multiple traveling salesman problems (minimax-mTSP).
Condenser capacities and capacitary potentials for unbounded sets, and global p-harmonic Green functions on metric spaces
Creators: name: Björn, Anders
name: Björn, Jana
Publisher: name: Taylor & Francis
Year: 2024
Subjects: subject: Biochemistry
subject: Physical Sciences not elsewhere classified
subject: Cell Biology
subject: Neuroscience
subject: Biotechnology
subject: Evolutionary Biology
subject: FOS: Biological sciences
subject: Chemical Sciences not elsewhere classified
subject: Immunology
subject: FOS: Clinical medicine
subject: Cancer
subject: Mental Health
subject: Infectious Diseases
subject: FOS: Health sciences
subject: Computational Biology

description: We study the condenser capacity capp⁡(E, Ω) on unbounded open sets Ω in a proper connected metric space X equipped with a locally doubling measure supporting a local p-Poincaré inequality, where 1
p is countably subadditive and that it is a Choquet capacity. We next obtain formulas for the capacity of superlevel sets for the capacitary potential. These are then used to show that p-harmonic Green functions exist in an unbounded domain Ω if and only if either X is p-hyperbolic or the Sobolev capacity Cp(X∖Ω)>0. As an application, we deduce new results for Perron solutions and boundary regularity for the Dirichlet boundary value problem for p-harmonic functions in unbounded open sets.
Enough vector bundles on orbispaces
Creators: name: Pardon, John
Publisher: name: arXiv
Year: 2019
Subjects: subject: Algebraic Topology (math.AT)
subject: K-Theory and Homology (math.KT)
subject: FOS: Mathematics
subject: 55R91, 57R18, 55P91, 55S91, 57R91, 19L47, 19L10, 55N32

description: We show that every orbispace satisfying certain mild hypotheses has 'enough' vector bundles. It follows that the K-theory of finite rank vector bundles on such orbispaces is a cohomology theory. Global presentation results for smooth orbifolds and derived smooth orbifolds also follow.
description: 40 pages, to appear in Compositio Mathematica
Supplementary document for Universal visible emitters in nanoscale integrated photonics - 6446497.pdf
Creators: name: Spektor, Grisha
name: Carlson, David
name: Newman, Zach
name: Skarda, Jinhie
name: Sapra, Neil
name: Su, Logan
name: Jammi, Sindhu
name: Ferdinand, Andrew
name: Agrawal, Amit
name: Vuckovic, Jelena
Publisher: name: Optica Publishing Group
Year: 2023
Subjects: subject: Applied Physics
classificationCode: 20504
subject: Photonics, Optoelectronics and Optical Communications

description: Supporting information. Noise analysis, experimental system details, efficiency modelling and experimental retrieval, polarization measurement description.
Intermodulation Distortion in a Josephson Traveling Wave Parametric Amplifier
Creators: name: Remm, Ants
name: Krinner, Sebastian
name: Lacroix, Nathan
name: Hellings, Christoph
name: Swiadek, Francois
name: Norris, Graham
name: Eichler, Christopher
name: Wallraff, Andreas
Publisher: name: arXiv
Year: 2022
Subjects: subject: Quantum Physics (quant-ph)
subject: Mesoscale and Nanoscale Physics (cond-mat.mes-hall)
subject: FOS: Physical sciences

description: Josephson traveling wave parametric amplifiers enable the amplification of weak microwave signals close to the quantum limit with large bandwidth, which has a broad range of applications in superconducting quantum computing and in the operation of single-photon detectors. While the large bandwidth allows for their use in frequency-multiplexed detection architectures, an increased number of readout tones per amplifier puts more stringent requirements on the dynamic range to avoid saturation. Here, we characterize the undesired mixing processes between the different frequency-multiplexed tones applied to a Josephson traveling wave parametric amplifier, a phenomenon also known as intermodulation distortion. The effect becomes particularly significant when the amplifier is operated close to its saturation power. Furthermore, we demonstrate that intermodulation distortion can lead to significant crosstalk and reduction of fidelity for multiplexed readout of superconducting qubits. We suggest using large detunings between the pump and signal frequencies to mitigate crosstalk. Our work provides insights into the limitations of current Josephson traveling wave parametric amplifiers and highlights the importance of performing further research on these devices.
description: 11 pages, 12 figures
Distribution of energetic oxygen and hydrogen in the near-Earth plasma sheet
Creators: name: Kronberg, E. A.
name: Grigorenko, E. E.
name: Haaland, S. E.
name: Daly, P. W.
name: Delcourt, D. C.
name: Luo, H.
name: Kistler, L. M.
name: Dandouras, I.
Publisher: name: arXiv
Year: 2016
Subjects: subject: Space Physics (physics.space-ph)
subject: FOS: Physical sciences

description: The spatial distributions of different ion species are useful indicators for plasma sheet dynamics. In this statistical study based on 7 years of Cluster observations, we establish the spatial distributions of oxygen ions and protons at energies from 274 to 955 keV, depending on geomagnetic and solar wind (SW) conditions. Compared with protons, the distribution of energetic oxygen has stronger dawn-dusk asymmetry in response to changes in the geomagnetic activity. When the interplanetary magnetic field (IMF) is directed southward, the oxygen ions show significant acceleration in the tail plasma sheet. Changes in the SW dynamic pressure ($\mathit{P}_{dyn}$) affect the oxygen and proton intensities in the same way. The energetic protons show significant intensity increases at the near-Earth duskside during disturbed geomagnetic conditions, enhanced SW $\mathit{P}_{dyn}$, and southward IMF, implying there location of effective inductive acceleration mechanisms and a strong duskward drift due to the increase of the magnetic field gradient in the near-Earth tail. Higher losses of energetic ions are observed in the dayside plasma sheet under disturbed geomagnetic conditions and enhanced SW $\mathit{P}_{dyn}$. These observations are in agreement with theoretical models.
Clique immersions and independence number
Creators: name: Bustamante, Sebastián
name: Quiroz, Daniel A.
name: Stein, Maya
name: Zamora, José
Publisher: name: arXiv
Year: 2019
Subjects: subject: Combinatorics (math.CO)
subject: FOS: Mathematics

description: The analogue of Hadwiger's conjecture for the immersion order states that every graph $G$ contains $K_{χ(G)}$ as an immersion. If true, it would imply that every graph with $n$ vertices and independence number $α$ contains $K_{\lceil \frac nα\rceil}$ as an immersion. The best currently known bound for this conjecture is due to Gauthier, Le and Wollan, who recently proved that every graph $G$ contains an immersion of a clique on $\bigl\lceil \frac{χ(G)-4}{3.54}\bigr\rceil$ vertices. Their result implies that every $n$-vertex graph with independence number $α$ contains an immersion of a clique on $\bigl\lceil \frac{n}{3.54α}-1.13\bigr\rceil$ vertices. We improve on this result for all $α\ge 3$, by showing that every $n$-vertex graph with independence number $α\ge 3$ contains an immersion of a clique on $\bigl\lfloor \frac {n}{2.25 α- f(α)} \bigr\rfloor - 1$ vertices, where $f$ is a nonnegative function.
description: 13 pages, 1 figure. Minor changes according to referees' suggestions
Efimovian three-body potential from broad to narrow Feshbach resonances
Creators: name: van de Kraats, J.
name: Ahmed-Braun, D. J. M.
name: Li, J. -L.
name: Kokkelmans, S. J. J. M. F.
Publisher: name: arXiv
Year: 2022
Subjects: subject: Quantum Gases (cond-mat.quant-gas)
subject: FOS: Physical sciences

description: We analyse the change in the hyperradial Efimovian three-body potential as the two-body interaction is tuned from the broad to narrow Feshbach resonance regime. Here, it is known from both theory and experiment that the three-body dissociation scattering length $a_-$ shifts away from the universal value of $-9.7 \ r_{\mathrm{vdW}}$, with $r_{\mathrm{vdW}} = \frac{1}{2} \left(m C_6/\hbar^2 \right)^{1/4}$ the two-body van der Waals range. We model the three-body system using a separable two-body interaction that takes into account the full zero-energy behaviour of the multichannel wave function. We find that the short-range repulsive barrier in the three-body potential characteristic for single-channel models remains universal for narrow resonances, whilst the change in the three-body parameter originates from a strong decrease in the potential depth. From an analysis of the underlying spin structure we further attribute this behavior to the dominance of the two-body interaction in the resonant channel compared to other background interactions.
description: 12 pages, 11 figures
Robust Feasibility of Systems of Quadratic Equations Using Topological Degree Theory
Creators: name: Dvijotham, Krishnamurthy
name: Krishnamoorthy, Bala
name: Luo, Yunqi
name: Rapone, Benjamin
Publisher: name: arXiv
Year: 2019
Subjects: subject: Optimization and Control (math.OC)
subject: Algebraic Topology (math.AT)
subject: FOS: Mathematics
subject: 90C20, 55M25,

description: We consider the problem of measuring the margin of robust feasibility of solutions to a system of nonlinear equations. We study the special case of a system of quadratic equations, which shows up in many practical applications such as the power grid and other infrastructure networks. This problem is a generalization of quadratically constrained quadratic programming (QCQP), which is NP-Hard in the general setting. We develop approaches based on topological degree theory to estimate bounds on the robustness margin of such systems. Our methods use tools from convex analysis and optimization theory to cast the problems of checking the conditions for robust feasibility as a nonlinear optimization problem. We then develop inner bound and outer bound procedures for this optimization problem, which could be solved efficiently to derive lower and upper bounds, respectively, for the margin of robust feasibility. We evaluate our approach numerically on standard instances taken from the MATPOWER and NESTA databases of AC power flow equations that describe the steady state of the power grid. The results demonstrate that our approach can produce tight lower and upper bounds on the margin of robust feasibility for such instances.
description: Minor changes in writing; added computational instances. To appear in Optimization Letters
Proper equivariant stable homotopy theory
Creators: name: Degrijse, Dieter
name: Hausmann, Markus
name: Lück, Wolfgang
name: Patchkoria, Irakli
name: Schwede, Stefan
Publisher: name: arXiv
Year: 2019
Subjects: subject: Algebraic Topology (math.AT)
subject: FOS: Mathematics
subject: 55P91

description: This monograph introduces a framework for genuine proper equivariant stable homotopy theory for Lie groups. The adjective `proper' alludes to the feature that equivalences are tested on compact subgroups, and that the objects are built from equivariant cells with compact isotropy groups; the adjective `genuine' indicates that the theory comes with appropriate transfers and Wirthmüller isomorphisms, and the resulting equivariant cohomology theories support the analog of an $RO(G)$-grading. Our model for genuine proper $G$-equivariant stable homotopy theory is the category of orthogonal $G$-spectra; the equivalences are those morphisms that induce isomorphisms of equivariant stable homotopy groups for all compact subgroups of $G$. This class of $π_*$-isomorphisms is part of a symmetric monoidal stable model structure and the associated tensor triangulated homotopy category is compactly generated. Every orthogonal $G$-spectrum represents an equivariant cohomology theory on the category of $G$-spaces, depending only on the `proper $G$-homotopy type', tested by fixed points under all compact subgroups. An important special case are infinite discrete groups. For these, our genuine equivariant theory is related to finiteness properties, in the sense of geometric group theory; for example, the $G$-sphere spectrum is a compact object in the equivariant homotopy category if the universal space for proper $G$-actions has a finite $G$-CW-model. For discrete groups, the represented equivariant cohomology theories on finite proper $G$-CW-complexes admit a more explicit description in terms of parameterized equivariant homotopy theory, suitably stabilized by $G$-vector bundles. Via this description, we can identify the previously defined $G$-cohomology theories of equivariant stable cohomotopy and equivariant K-theory as cohomology theories represented by specific orthogonal $G$-spectra.
description: several minor corrections and updates; v+142 pp