title
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1DFormer: a Transformer Architecture Learning 1D Landmark Representations for Facial Landmark Tracking
Recently, heatmap regression methods based on 1D landmark representations have shown prominent performance on locating facial landmarks. However, previous methods ignored to make deep explorations on the good potentials of 1D landmark representations for sequential and structural modeling of multiple landmarks to track...
https://arxiv.org/abs/2311.00241v2
2311.00241
2023-11-01
natural-language-processing
1D GRPIC Simulations of Stellar-Mass Black Hole Magnetospheres: Semi-Analytic Model of Gamma-Rays from Gaps
In the absence of a sufficient amount of plasma injection into the black hole (BH) magnetosphere, the force-free state of the magnetosphere cannot be maintained, leading to the emergence of strong, time-dependent, longitudinal electric field (spark gap). Recent studies of supermassive BH magnetospheres by using analyti...
https://arxiv.org/abs/2310.12532v2
2310.12532
2023-10-19
natural-language-processing
1D Hyperbolic Systems with Nonlinear Boundary Conditions II: Criteria for Finite Time Stability
We investigate the finite time stability property of one-dimensional nonautonomous initial boundary value problems for linear decoupled hyperbolic systems with nonlinear boundary conditions. We establish sufficient and necessary conditions under which continuous or $L^2$-generalized solutions stabilize to zero in a fin...
https://arxiv.org/abs/2208.00858v1
2208.00858
2022-08-01
natural-language-processing
1-Diffractor: Efficient and Utility-Preserving Text Obfuscation Leveraging Word-Level Metric Differential Privacy
The study of privacy-preserving Natural Language Processing (NLP) has gained rising attention in recent years. One promising avenue studies the integration of Differential Privacy in NLP, which has brought about innovative methods in a variety of application settings. Of particular note are $\textit{word-level Metric L...
https://arxiv.org/abs/2405.01678v1
2405.01678
2024-05-02
natural-language-processing
$1$-Dimensional Harnack Estimates
Let $u$ be a non-negative super-solution to a $1$-dimensional singular parabolic equation of $p$-Laplacian type ($1<p<2$). If $u$ is bounded below on a time-segment $\{y\}\times(0,T]$ by a positive number $M$, then it has a power-like decay of order $\frac p{2-p}$ with respect to the space variable $x$ in $\mathbb R\ti...
http://arxiv.org/abs/1503.07448v1
1503.07448
2015-03-25
natural-language-processing
1-Dimensional Intrinsic Persistence of Geodesic Spaces
Given a compact geodesic space $X$ we apply the fundamental group and alternatively the first homology group functor to the corresponding Rips or \v{C}ech filtration of $X$ to obtain what we call a persistence. This paper contains the theory describing such persistence: properties of the set of critical points, their p...
https://arxiv.org/abs/1709.05164v4
1709.05164
2017-09-15
natural-language-processing
1-Dimensional Normal Competitive Market Equilibrium
We introduce a new microeconomics foundation of a specific type of competitive market equilibrium that can be used to study several markets with information asymmetry such as commodity market, credit market, and insurance market.
https://arxiv.org/abs/2505.08425v1
2505.08425
2025-05-13
natural-language-processing
1-Dimensional polynomial neural networks for audio signal related problems
In addition to being extremely non-linear, modern problems require millions if not billions of parameters to solve or at least to get a good approximation of the solution, and neural networks are known to assimilate that complexity by deepening and widening their topology in order to increase the level of non-linearity...
https://arxiv.org/abs/2009.04077v2
2009.04077
2020-09-09
natural-language-processing
1-D Isentropic Euler flows: Self-similar Vacuum Solutions
We consider one-dimensional self-similar solutions to the isentropic Euler system when the initial data are at vacuum to the left of the origin. For $x>0$ the initial velocity and sound speed are of form $u_0(x)=u_+x^{1-\lambda}$ and $c_0(x)=c_+x^{1-\lambda}$, for constants $u_+\in\RR$, $c_+>0$, $\lambda\in\RR$. We ana...
https://arxiv.org/abs/2312.07689v1
2312.07689
2023-12-12
natural-language-processing
1-d Ising model using Kronecker sum and Kronecker product
Calculations in Ising model can be cumbersome and non-intuitive. Here we provide a formulation that addresses these issues for 1-D scenario. We represent the microstates of spin interactions as a diagonal matrix. This is done using two operations: Kronecker sum and Kronecker product. The calculations thus become simple...
https://arxiv.org/abs/2011.00760v2
2011.00760
2020-11-02
natural-language-processing
1d Ising model with $1/r^{1.99}$ interaction
We study the 1d Ising model with long-range interactions decaying as $1/r^{1+s}$. The critical model corresponds to a family of 1d conformal field theories (CFTs) whose data depends nontrivially on $s$ in the range $1/2\leq s\leq 1$. The model is known to be described by a generalized free field with quartic interactio...
https://arxiv.org/abs/2412.12243v2
2412.12243
2024-12-16
natural-language-processing
1D Kinematics from stars and ionized gas at $z\sim0.8$ from the LEGA-C spectroscopic survey of massive galaxies
We present a comparison of the observed, spatially integrated stellar and ionized gas velocity dispersions of $\sim1000$ massive ($\log M_{\star}/M_{\odot}\gtrsim\,10.3$) galaxies in the Large Early Galaxy Astrophysics Census (LEGA-C) survey at $0.6\lesssim\,z\lesssim1.0$. The high $S/N\sim20{\rm\AA^{-1}}$ afforded by ...
http://arxiv.org/abs/1811.07900v1
1811.07900
2018-11-19
natural-language-processing
1D Kinetic Energy Density Functionals learned with Symbolic Regression
Orbital-free density functional theory promises to deliver linear-scaling electronic structure calculations. This requires the knowledge of the non-interacting kinetic-energy density functional (KEDF), which should be accurate and must admit accurate functional derivatives, so that a minimization procedure can be desig...
https://arxiv.org/abs/2412.08143v1
2412.08143
2024-12-11
natural-language-processing
1 D Landau Ginzburg superpotential of Big Quantum Cohomology of CP2
Using the inverse period map of the Gauss-Manin connection associated with $QH^{*}(\mathbb{CP}^2)$ and the Dubrovin construction of Landau-Ginzburg superpotential for Dubrovin Frobenius manifolds, we construct a one-dimensional Landau-Ginzburg superpotential for the quantum cohomology of $\mathbb{CP}^2$. In the case of...
https://arxiv.org/abs/2402.09574v1
2402.09574
2024-02-14
natural-language-processing
1d lattice models for the boundary of 2d "Majorana" fermion SPTs: Kramers-Wannier duality as an exact $Z_2$ symmetry
It is well known that symmetry protected topological (SPT) phases host non-trivial boundaries that cannot be mimicked in a lower-dimensional system with a conventional realization of symmetry. However, for SPT phases of bosons (fermions) within the cohomology (supercohomology) classification the boundary can be recreat...
http://arxiv.org/abs/1902.05957v1
1902.05957
2019-02-15
natural-language-processing
1D Magneto-Optical Trap of Polyatomic Molecules
We demonstrate a 1D magneto-optical trap of the polar free radical calcium monohydroxide (CaOH). A quasi-closed cycling transition is established to scatter $\sim 10^3$ photons per molecule, predominantly limited by interaction time. This enables radiative laser cooling of CaOH while compressing the molecular beam, lea...
http://arxiv.org/abs/2001.10525v2
2001.10525
2020-01-29
natural-language-processing
1D Majorana Goldstinos and partial supersymmetry breaking in quantum wires
Realizing Majorana modes in topological superconductors, i.e., the condensed-matter counterpart of Majorana fermions in particle physics, may lead to a major advance in the field of topologically-protected quantum computation. Here, we introduce one-dimensional, counterpropagating, and dispersive Majorana modes as bulk...
https://arxiv.org/abs/2106.09039v4
2106.09039
2021-06-16
natural-language-processing
1D Many-body localized Floquet systems II: Symmetry-Broken phases
Recent work suggests that a sharp definition of `phase of matter' can be given for periodically driven `Floquet' quantum systems exhibiting many-body localization. In this work we propose a classification of the phases of interacting Floquet localized systems with (completely) spontaneously broken symmetries -- we focu...
http://arxiv.org/abs/1602.06949v2
1602.06949
2016-11-24
natural-language-processing
1D metallic states at 2D transition metal dichalcogenide semiconductor heterojunctions
Two-dimensional (2D) lateral heterojunctions of transition metal dichalcogenides (TMDCs) have become a reality in recent years. Semiconducting TMDC layers in their common H -structure have a nonzero in-plane electric polarization, which is a topological invariant. We show by means of first-principles calculations that ...
http://arxiv.org/abs/2008.06758v1
2008.06758
2020-08-15
natural-language-processing
1D Model for the 3D Magnetohydrodynamics
We propose a one-dimensional (1D) model for the three-dimensional(3D) incompressible ideal magnetohydrodynamics. We establish a regularity criterion of the Beale-Kato-Majda type for this 1D model. Without the stretching effect, the model with only transport effect equipped with a proper sign is shown to have global in ...
https://arxiv.org/abs/2107.02920v2
2107.02920
2021-07-06
natural-language-processing
1D Modeling of Sensor Selection Problem for Weak Barrier Coverage and Gap Mending in Wireless Sensor Networks
In this paper, we first remodel the line coverage as a 1D discrete problem with co-linear targets. Then, an order-based greedy algorithm, called OGA, is proposed to solve the problem optimally. It will be shown that the existing order in the 1D modeling, and especially the resulted Markov property of the selected senso...
http://arxiv.org/abs/1704.05576v1
1704.05576
2017-04-19
natural-language-processing
1-D modelling and CFD study of the transient behaviour of a single phase Coupled Natural Circulation Loop
A Coupled Natural Circulation Loop (CNCL) consists of two Natural Circulation Loops (NCL) coupled thermally via a common heat exchanger. The transient modelling of such systems that have practical relevance has not been reported in the literature to the best of the author's knowledge. The present work aims to bridge th...
http://arxiv.org/abs/1804.10051v1
1804.10051
2018-04-26
natural-language-processing
1D Mott variable-range hopping with external field
Mott variable-range hopping is a fundamental mechanism for electron transport in disordered solids in the regime of strong Anderson localization. We give a brief description of this mechanism, recall some results concerning the behavior of the conductivity at low temperature and describe in more detail recent results (...
http://arxiv.org/abs/1803.05166v2
1803.05166
2018-06-17
natural-language-processing
1D non-LTE corrections for chemical abundance analyses of very metal-poor stars
Detailed chemical abundances of very metal-poor (VMP, [Fe/H] < -2) stars are important for better understanding the First Stars, early star formation and chemical enrichment of galaxies. Big on-going and coming high-resolution spectroscopic surveys provide a wealth of material that needs to be carefully analysed. For V...
https://arxiv.org/abs/2307.04523v1
2307.04523
2023-07-10
natural-language-processing
1-domination of knots
We say that a knot $k_1$ in the $3$-sphere {\it $1$-dominates} another $k_2$ if there is a proper degree 1 map $E(k_1) \to E(k_2)$ between their exteriors, and write $k_1 \ge k_2$. When $k_1 \ge k_2$ but $k_1 \ne k_2$ we write $k_1 > k_2$. One expects in the latter eventuality that $k_1$ is more {\it complicated}. In t...
http://arxiv.org/abs/1511.07073v1
1511.07073
2015-11-22
natural-language-processing
1D photochemical model of the ionosphere and the stratosphere of Neptune
Neptune remains a mysterious world that deserves further exploration and is a high-priority objective for a future planetary mission in order to better understand the formation and evolution of ice giant planets. We have developed a coupled ion-neutral 1D photochemical model of Neptune's atmosphere to study the origin ...
http://arxiv.org/abs/2011.07984v1
2011.07984
2020-11-16
natural-language-processing
1D Photonic Band Gap Atlas, Formula Extension and Design Applications
The design and development of new photonic devices for technological applications requires a deep understanding of the effect of structural properties on the resulting band gap size and its position. Here, we perform a theoretical study of behavior of the photonic band gap sizes, positions and percentages under variati...
https://arxiv.org/abs/2405.13633v1
2405.13633
2024-05-22
natural-language-processing
1D photonic crystal direct bandgap GeSn-on-insulator laser
GeSn alloys have been regarded as a potential lasing material for a complementary metal-oxide-semiconductor (CMOS)-compatible light source. Despite their remarkable progress, all GeSn lasers reported to date have large device footprints and active areas, which prevent the realization of densely integrated on-chip laser...
https://arxiv.org/abs/2108.06142v2
2108.06142
2021-08-13
natural-language-processing
1D planar, cylindrical and spherical subsonic solitary waves in space electron-ion-positive dust plasma systems
The space electron-ion-positive dust plasma system containing isothermal inertialess electron species, cold inertial ion species, and stationary positive (positivively charged) dust species is considered. The basic features of one dimensional (1D) planar and nonplanar subsonic solitary waves are investigated by the pse...
http://arxiv.org/abs/2009.09131v1
2009.09131
2020-09-19
natural-language-processing
1D Poiseuille Plane Channel Flow by Second Order Response Matrix
With increasing miniaturization of diagnostic devices for more effective detection of blood-borne pathogens for example, Poiseuille molecular flow in micro channels has become increasingly relevant. Since continuum mechanics no longer applies for Poiseuille flow when the Knudson number is near or larger than unity, kin...
https://arxiv.org/abs/2406.16954v1
2406.16954
2024-06-20
natural-language-processing
1D pressureless gas dynamics systems in a strip
We construct explicit measure-valued solutions to the one-dimensional pressureless gas dynamics system in a strip-like domain by introducing a new boundary potential. The constructed solutions satisfy an entropy condition, and depending on the boundary data and the behavior of the potentials, mass accumulation can occu...
https://arxiv.org/abs/2502.15927v2
2502.15927
2025-02-21
natural-language-processing
1D Probabilistic Undersampling Pattern Optimization for MR Image Reconstruction
Magnetic resonance imaging (MRI) is mainly limited by long scanning time and vulnerable to human tissue motion artifacts, in 3D clinical scenarios. Thus, k-space undersampling is used to accelerate the acquisition of MRI while leading to visually poor MR images. Recently, some studies 1) use effective undersampling pat...
https://arxiv.org/abs/2003.03797v3
2003.03797
2020-03-08
natural-language-processing
1d Quantum Harmonic Oscillator Perturbed by a Potential with Logarithmic Decay
In this paper we prove an infinite dimensional KAM theorem, in which the assumptions on the derivatives of perturbation in \cite{GT} are weakened from polynomial decay to logarithmic decay. As a consequence, we apply it to 1d quantum harmonic oscillators and prove the reducibility of a linear harmonic oscillator, $T=- ...
http://arxiv.org/abs/1605.05480v1
1605.05480
2016-05-18
natural-language-processing
1-d Quantum Harmonic Oscillator with Time Quasi-periodic Quadratic Perturbation: Reducibility and Growth of Sobolev Norms
For a family of 1-d quantum harmonic oscillator with a perturbation which is $C^2$ parametrized by $E\in{\mathcal I}\subset{\Bbb R}$ and quadratic on $x$ and $-{\rm i}\partial_x$ with coefficients quasi-periodically depending on time $t$, we show the reducibility (i.e., conjugation to time-independent) for a.e. $E$. As...
https://arxiv.org/abs/2003.13034v2
2003.13034
2020-03-29
natural-language-processing
1D quasicrystals and topological markers
Local topological markers are effective tools for determining the topological properties of both homogeneous and inhomogeneous systems. The Chern marker is an established topological marker that has previously been shown to effectively reveal the topological properties of 2D systems. In an earlier work, the present aut...
https://arxiv.org/abs/2201.09741v2
2201.09741
2022-01-24
natural-language-processing
1-DREAM: 1D Recovery, Extraction and Analysis of Manifolds in noisy environments
Filaments are ubiquitous in astronomical data sets. Be it in particle simulations or observations, filaments are always tracers of a perturbation in the equilibrium of the studied system and hold essential information on its history and future evolution. However, the recovery of such structures is often complicated by ...
https://arxiv.org/abs/2503.21584v1
2503.21584
2025-03-27
natural-language-processing
1-D Residual Convolutional Neural Network coupled with Data Augmentation and Regularization for the ICPHM 2023 Data Challenge
In this article, we present our contribution to the ICPHM 2023 Data Challenge on Industrial Systems' Health Monitoring using Vibration Analysis. For the task of classifying sun gear faults in a gearbox, we propose a residual Convolutional Neural Network that operates on raw three-channel time-domain vibration signals. ...
https://arxiv.org/abs/2304.07305v2
2304.07305
2023-04-14
natural-language-processing
1D roughness driven depinning of breath figures on PDMS
The influence of surface constraints on the self-assembly of liquid droplets is investigated. A semi-quantitative explanation for large scale pattern formation consisting of small scale closely arranged droplets inside the large scale distorted ring of droplets is presented in this paper. The scale at which the influen...
http://arxiv.org/abs/1605.02942v2
1605.02942
2019-06-27
natural-language-processing
1-D Schrödinger operator on a star graph with nondefinite weight function
On a star graph $G$ with $n = n_+ + n_-$ edges of unit length, we study the operator $-\frac{\mathrm{d}^2}{\mathrm{d} x^2}$ on $n_+$ and $\frac{\mathrm{d}^2}{\mathrm{d} x^2}$ on $n_-$ edges equipped with Dirichlet boundary conditions at the outer vertices and a Kirchhoff condition at the central vertex. We study the sp...
https://arxiv.org/abs/2505.22901v1
2505.22901
2025-05-28
natural-language-processing
1D Schr\"odinger operators with complex potentials
We consider a Schr\"odinger operator with complex-valued potentials on the line. The operator has essential spectrum on the half-line plus eigenvalues (counted with algebraic multiplicity) in the complex plane without the positive half-line. We determine series of trace formulas. Here we have the new term: a singular m...
http://arxiv.org/abs/1909.08454v1
1909.08454
2019-09-18
natural-language-processing
1D self-healing beams in integrated silicon photonics
Since the first experimental observation of optical Airy beams, various applications ranging from particle and cell micromanipulation to laser micromachining have exploited their non-diffracting and accelerating properties. The later discovery that Airy beams can self-heal after being blocked by an obstacle further pro...
https://arxiv.org/abs/2103.12254v1
2103.12254
2021-03-23
natural-language-processing
1D self-similar fractals with centro-symmetric Jacobians: asymptotics and modular data
We establish asymptotics of growing one dimensional self-similar fractal graphs, they are networks that allow multiple weighted edges between nodes, in terms of quantum central limit theorems for algebraic probability spaces in pure state. An additional structure is endowed with the repeating units of centro-symmetric ...
https://arxiv.org/abs/2401.15515v1
2401.15515
2024-01-27
natural-language-processing
1-D semi-analytical modeling and parametric study of a single phase rectangular Coupled Natural Circulation Loop
The study of heat exchangers with both the hot and cold fluid sides driven by buoyancy forces is an area of considerable interest due to their inherent passivity and non-existence of moving parts. The current study aims to study such heat exchange devices employing the basic Coupled Natural Circulation Loop (CNCL) syst...
http://arxiv.org/abs/1811.08074v1
1811.08074
2018-11-20
natural-language-processing
1D solutions for compressible two-phase flows in a heated and cooled duct: mechanical equilibrium
Analytical/quasi-analytical solutions are proposed for a steady, compressible, two-phase flow in mechanical equilibrium in a rectilinear duct subjected to heating followed by cooling. The flow is driven by the pressure ratio between a variable outlet pressure and an upstream tank. A critical pressure ratio distinguishe...
https://arxiv.org/abs/2404.10345v1
2404.10345
2024-04-16
natural-language-processing
1D Spin-Crossover Molecular Chain with Degenerate States
A study of the one-dimensional molecular chain (MC) with two single-particle degenerate states is presented. We establish connection of the MC with the Ising model with phononic interactions and investigate properties of the model using a transfer matrix method. The transfer matrix method offers a promising pathway for...
https://arxiv.org/abs/2102.13627v2
2102.13627
2021-02-26
natural-language-processing
1D Spontaneous Symmetry Breaking in thermal equilibrium via Non-Hermitian Construction
Spontaneous symmetry breaking generally circumvents one-dimensional systems with local interactions in thermal equilibrium. Here, we analyze a category of one-dimensional Hermitian models via local non-Hermitian constructions. Notably, spontaneous symmetry breaking and long-range order may emerge at finite temperatures...
https://arxiv.org/abs/2410.19052v1
2410.19052
2024-10-24
natural-language-processing
1D Stochastic Inversion of Airborne Time-domain Electromag-netic Data with Realistic Prior and Accounting for the Forward Modeling Error
Airborne electromagnetic surveys may consist of hundreds of thousands of soundings. In most cases, this makes 3D inversions unfeasible even when the subsurface is characterized by a high level of heterogeneity. Instead, approaches based on 1D forwards are routinely used because of their computational efficiency. Howeve...
https://arxiv.org/abs/2109.13780v1
2109.13780
2021-09-28
natural-language-processing
1D stochastic pressure equation with log-correlated Gaussian coefficients
We study unique solvability for one dimensional stochastic pressure equation with diffusion coefficient given by the Wick exponential of log-correlated Gaussian fields. We prove well-posedness for Dirichlet, Neumann and periodic boundary data, and the initial value problem, covering the cases of both the Wick renormali...
https://arxiv.org/abs/2402.09127v1
2402.09127
2024-02-14
natural-language-processing
1D Supergravity FLRW Model of Starobinsky
We study two homogeneous supersymmetric extensions for the $f(R)$ modified gravity model of Starobinsky with the FLRW metric. The actions are defined in terms of a superfield $\mathcal{R}$ that contains the FLRW scalar curvature. One model has N=1 local supersymmetry, and its bosonic sector is the Starobinsky action; t...
https://arxiv.org/abs/2110.00556v2
2110.00556
2021-10-01
natural-language-processing
1D Thermoembolization Model Using CT Imaging Data for Porcine Liver
Objective: Innovative therapies such as thermoembolization are expected to play an important role in improvising care for patients with diseases such as hepatocellular carcinoma. Thermoembolization is a minimally invasive strategy that combines thermal ablation and embolization in a single procedure. This approach expl...
https://arxiv.org/abs/2409.06811v1
2409.06811
2024-09-10
natural-language-processing
$1D$ to $nD$: A Meta Algorithm for Multivariate Global Optimization via Univariate Optimizers
In this work, we propose a meta algorithm that can solve a multivariate global optimization problem using univariate global optimizers. Although the univariate global optimization does not receive much attention compared to the multivariate case, which is more emphasized in academia and industry; we show that it is sti...
https://arxiv.org/abs/2209.03246v1
2209.03246
2022-09-06
natural-language-processing
1D-Touch: NLP-Assisted Coarse Text Selection via a Semi-Direct Gesture
Existing text selection techniques on touchscreen focus on improving the control for moving the carets. Coarse-grained text selection on word and phrase levels has not received much support beyond word-snapping and entity recognition. We introduce 1D-Touch, a novel text selection method that complements the carets-base...
https://arxiv.org/abs/2310.17576v1
2310.17576
2023-10-26
natural-language-processing
1D Triple Bubble Problem with Log-Convex Density
We prove that for a symmetric, strictly log-convex density on the real line, there are four possible types of perimeter-minimizing triple bubbles. This extends the work of Bongiovanni et al., which shows that there are two possible types of perimeter-minimizing double bubbles.
http://arxiv.org/abs/1805.08377v2
1805.08377
2018-05-22
natural-language-processing
1D valence bond solids in a magnetic field
A Valence bond solid (VBS) is a nonmagnetic, long-range ordered state of a quantum spin system where local spin singlets are formed in some regular pattern. We here study the competition between VBS order and a fully polarized ferromagnetic state as function of an external magnetic field in a one-dimensional extended H...
http://arxiv.org/abs/1510.07680v1
1510.07680
2015-10-26
natural-language-processing
1D van der Waals Material Tellurium: Raman Spectroscopy under Strain and Magneto-transport
Experimental demonstrations of 1D van der Waals material tellurium have been presented by Raman spectroscopy under strain and magneto-transport. Raman spectroscopy measurements have been performed under strains along different principle axes. Pronounced strain response along c-axis is observed due to the strong intra-c...
http://arxiv.org/abs/1704.07020v1
1704.07020
2017-04-24
natural-language-processing
'1e0a': A Computational Approach to Rhythm Training
We present a computational assessment system that promotes the learning of basic rhythmic patterns. The system is capable of generating multiple rhythmic patterns with increasing complexity within various cycle lengths. For a generated rhythm pattern the performance assessment of the learner is carried out through the ...
https://arxiv.org/abs/2109.04440v1
2109.04440
2021-09-09
natural-language-processing
(-1)-Enumerations of arrowed Gelfand-Tsetlin patterns
Arrowed Gelfand-Tsetlin patterns have recently been introduced to study alternating sign matrices. In this paper, we show that a $(-1)$-enumeration of arrowed Gelfand-Tsetlin patterns can be expressed by a simple product formula. The numbers are a one-parameter generalization of the numbers $2^{n(n-1)/2} \prod_{j=0}^{n...
https://arxiv.org/abs/2302.04164v2
2302.04164
2023-02-08
natural-language-processing
$1/\epsilon$ problem in resurgence
This paper considers the $1/\epsilon$ problem, which is the divergent behavior of the ground state energy of asymmetric potential in quantum mechanics, which is calculated with semi-classical expansion and resurgence technique. Using resolvent method, It is shown that including not only one complex bion but multi-compl...
http://arxiv.org/abs/1912.03518v3
1912.03518
2020-10-19
natural-language-processing
1-Extendability of independent sets
In the 70s, Berge introduced 1-extendable graphs (also called B-graphs), which are graphs where every vertex belongs to a maximum independent set. Motivated by an application in the design of wireless networks, we study the computational complexity of 1-extendability, the problem of deciding whether a graph is 1-extend...
https://arxiv.org/abs/2204.05809v1
2204.05809
2022-04-12
natural-language-processing
1/f^2 spectra of decoherence noise on ^75^As nuclear spins in bulk GaAs
To identify the decoherence origin, frequency spectra using multiple {\pi}-pulses have been extensively studied. However, little has been discussed on how to define the spectral intensities from multiple-echo decays and how to incorporate the Hahn-echo T_2 in the noise spectra. Here, we show that experiments based on t...
http://arxiv.org/abs/1905.12906v1
1905.12906
2019-05-30
natural-language-processing
$1/f^{3/2}$ noise in heavy traffic M/M/1 queue
We study the power spectral density of continuous time Markov chains and explicit its relationship with the eigenstructure of the infinitesimal generator. This result helps us understand the dynamics of the number of customers for a M/M/1 queuing process in the heavy traffic regime.Closed-form relations for the power l...
https://arxiv.org/abs/2302.03467v2
2302.03467
2023-02-07
natural-language-processing
1-factor and cycle covers of cubic graphs
Let $G$ be a bridgeless cubic graph. Consider a list of $k$ 1-factors of $G$. Let $E_i$ be the set of edges contained in precisely $i$ members of the $k$ 1-factors. Let $\mu_k(G)$ be the smallest $|E_0|$ over all lists of $k$ 1-factors of $G$. Any list of three 1-factors induces a core of a cubic graph. We use result...
http://arxiv.org/abs/1209.4510v3
1209.4510
2015-01-29
natural-language-processing
1-factorizations of pseudorandom graphs
A $1$-factorization of a graph $G$ is a collection of edge-disjoint perfect matchings whose union is $E(G)$. A trivial necessary condition for $G$ to admit a $1$-factorization is that $|V(G)|$ is even and $G$ is regular; the converse is easily seen to be false. In this paper, we consider the problem of finding $1$-fact...
http://arxiv.org/abs/1803.10361v1
1803.10361
2018-03-28
natural-language-processing
1/f and Random Telegraph Noise of Single-Layer Graphene Devices with Interdigitated Electrodes
Single-layer Graphene (SLG) is a promising material for sensing applications. High performance graphene sensors can be achieved when Interdigitated Electrodes (IDE) are used. In this research work, we fabricated SLG micro-ribbon (GMR) devices with IDE having different geometric parameters. 1/f noise behavior was observ...
https://arxiv.org/abs/2502.01348v1
2502.01348
2025-02-03
natural-language-processing
1/f critical current noise in short ballistic graphene Josephson junctions
Short ballistic graphene Josephson junctions sustain superconducting current with a non-sinusoidal current-phase relation up to a critical current threshold. The current-phase relation, arising from proximitized superconductivity, is gate-voltage tunable and exhibits peculiar skewness observed in high quality graphene ...
http://arxiv.org/abs/1909.06246v1
1909.06246
2019-09-13
natural-language-processing
1/f Flux Noise in low-T$_c$ SQUIDs due to Superparamagnetic Phase Transitions in Defect Clusters
It is shown here that $1/f^\alpha$ flux noise in conventional low-T$_c$ SQUIDs is a result of low temperature superparamagnetic phase transitions in small clusters of strongly correlated color center defects. The spins in each cluster interact via long-range ferromagnetic interactions. Due to its small size, the cluste...
http://arxiv.org/abs/1710.09114v3
1710.09114
2018-12-23
natural-language-processing
1/f frequency fluctuations due to kinetic inductance in CoSi$_2$ microwave cavities
Cobalt disilicide provides a promising nearly-epitaxial superconducting material on silicon, which is compatible with high-density integrated circuit technology. We have characterized CoSi$_{2}$ superconducting microwave cavities around 5.5 GHz for resonance frequency fluctuations at temperatures 10 - 200 mK. We found ...
https://arxiv.org/abs/2403.08347v1
2403.08347
2024-03-13
natural-language-processing
1/f Noise Analysis for FAST HI Intensity Mapping Drift-Scan Experiment
We investigate the 1/f noise of the Five-hundred-meter Aperture Spherical Telescope (FAST) receiver system using drift-scan data from an intensity mapping pilot survey. All the 19 beams have 1/f fluctuations with similar structures. Both the temporal and the 2D power spectrum densities are estimated. The correlations d...
https://arxiv.org/abs/2109.06447v1
2109.06447
2021-09-14
natural-language-processing
1/f noise and anomalous scaling in Lévy noise-driven on-off intermittency
On-off intermittency occurs in nonequilibrium physical systems close to bifurcation points and is characterised by an aperiodic switching between a large-amplitude "on" state and a small-amplitude "off" state. L\'evy on-off intermittency is a recently introduced generalisation of on-off intermittency to multiplicative ...
https://arxiv.org/abs/2210.10197v2
2210.10197
2022-10-18
natural-language-processing
1/f noise and quantum indeterminacy
An approach to the problem of 1/f voltage noise in conductors is developed based on an uncertainty relation for the Fourier-transformed signal. The quantum indeterminacy caused by non-commutativity of the observables at different times makes the voltage autocovariance ambiguous, but the power spectrum of fluctuations r...
http://arxiv.org/abs/2006.12412v1
2006.12412
2020-06-22
natural-language-processing
1/f noise from point process and time-subordinated Langevin equations
Internal mechanism leading to the emergence of the widely occurring 1/f noise still remains an open issue. In this paper we investigate the distinction between internal time of the system and the physical time as a source of 1/f noise. After demonstrating the appearance of 1/f noise in the earlier proposed point proces...
http://arxiv.org/abs/1512.03910v1
1512.03910
2015-12-12
natural-language-processing
1/f noise from the nonlinear transformations of the variables
The origin of the low-frequency noise with power spectrum $1/f^\beta$ (also known as $1/f$ fluctuations or flicker noise) remains a challenge. Recently, the nonlinear stochastic differential equations for modeling $1/f^\beta$ noise have been proposed and analyzed. Here we use the self-similarity properties of this mode...
http://arxiv.org/abs/1512.04298v1
1512.04298
2015-12-14
natural-language-processing
$1/f$ noise from the sequence of nonoverlapping rectangular pulses
We analyze the power spectral density of a signal composed of nonoverlapping rectangular pulses. First, we derive a general formula for the power spectral density of a signal constructed from the sequence of nonoverlapping pulses. Then we perform a detailed analysis of the rectangular pulse case. We show that pure $1/f...
https://arxiv.org/abs/2210.11792v5
2210.11792
2022-10-21
natural-language-processing
1/f noise in quantum nanoscience
Fundamental issues of 1/f noise in quantum nanoscience are reviewed starting from basic statistical noise processes. Fundamental noise models based on two-level systems (TLS) are described. We emphasize the importance of TLSs in materials parameter fluctuations, such as dielectric constant. The present understanding of...
https://arxiv.org/abs/2401.11989v1
2401.11989
2024-01-22
natural-language-processing
$1/f$ noise in semiconductors arising from the heterogeneous detrapping process of individual charge carriers
We propose a model of $1/f$ noise in semiconductors based on the drift of individual charge carriers and their interaction with the trapping centers. We assume that the trapping centers are homogeneously distributed in the material. The trapping centers are assumed to be heterogeneous and have unique detrapping rates. ...
https://arxiv.org/abs/2306.07009v5
2306.07009
2023-06-12
natural-language-processing
$1/f$ Noise in the Heliosphere: A Target for PUNCH Science
We present a broad review of 1/f noise observations in the heliosphere, and discuss and complement the theoretical background of generic 1/f models as relevant to NASA's PUNCH mission. First observed in the voltage fluctuations of vacuum tubes, the scale-invariant 1/f spectrum has since been identified across a wide ar...
https://arxiv.org/abs/2409.02255v2
2409.02255
2024-09-03
natural-language-processing
$1/f$ noise in the Ising model
We simulate the $N$-spin critical Ising model on a square lattice using Glauber dynamics and consider the typical one-unit time equal to $N$ single-spin-flip attempts. The divergence of correlation time with the linear extent of the system results in critical slowing down, a challenge to equilibration because the spin ...
https://arxiv.org/abs/2503.04105v1
2503.04105
2025-03-06
natural-language-processing
1/f noise in turbulent flows
We report the experimental observation of $1/f$ fluctuations in three different turbulent flow configurations: the large scale velocity driven by a two-dimensional turbulent flow, the magnetic field generated by a turbulent swirling flow of liquid sodium and the pressure fluctuations due to vorticity filaments in a swi...
http://arxiv.org/abs/1605.09666v1
1605.09666
2016-05-31
natural-language-processing
1/f noise of a tiny tunnel magnetoresistance sensor originated from a wide distribution of bath correlation time
Tunnel magnetoresistance (TMR) sensor is a highly sensitive magnetic field sensor and is expected to be applied in various fields, such as magnetic recording, industrial sensing, and bio-medical sensing. To improve the detection capability of TMR sensors in low frequency regime it is necessary to suppress the 1/f noise...
https://arxiv.org/abs/2406.18811v1
2406.18811
2024-06-27
natural-language-processing
$1/f$ noise on the brink of wet granular melting
The collective behavior of a two-dimensional wet granular cluster under horizontal swirling motions is investigated experimentally. Depending on the balance between the energy injection and dissipation, the cluster evolves into various nonequilibrium stationary states with strong internal structure fluctuations with ti...
http://arxiv.org/abs/1502.04921v2
1502.04921
2015-07-23
natural-language-processing
1/f Noise Reduction using In-Pixel Chopping in CMOS Image Sensor
In this paper, an in-pixel chopping technique to reduce the low-frequency or 1/f noise of the source follower (SF) transistor in an active pixel sensor (APS) is presented. The SF low-frequency noise is modulated at higher frequencies through chopping, implemented inside the pixel, and in later stage eliminated using lo...
http://arxiv.org/abs/1807.11577v1
1807.11577
2018-07-27
natural-language-processing
1/f noise spectroscopy and noise tailoring of nanoelectronic devices
In this paper, we review the 1/f-type noise properties of nanoelectronic devices focusing on three demonstrative platforms: resistive switching memories, graphene nanogaps and single-molecule nanowires. The functionality of such ultrasmall devices is confined to an extremely small volume, where bulk considerations on t...
https://arxiv.org/abs/2106.02683v1
2106.02683
2021-06-04
natural-language-processing
1/f Noise Under Drift And Thermal Agitation In Semiconductor Materials
Voss and Clarke observed 1/f noise in the square of Johnson noise across samples in thermal equilibrium without applying a current. We refer to this phenomenon as thermal 1/f noise. Voss and Clarke suggested spatially correlated temperature fluctuations as an origin of thermal 1/f noise; they also showed that thermal 1...
https://arxiv.org/abs/2202.05390v1
2202.05390
2022-02-04
natural-language-processing
1-Form Symmetric Projected Entangled-Pair States
The 1-form symmetry, manifesting as loop-like symmetries, has gained prominence in the study of quantum phases, deepening our understanding of symmetry. However, the role of 1-form symmetries in Projected Entangled-Pair States (PEPS), two-dimensional tensor network states, remains largely underexplored. We present a no...
https://arxiv.org/abs/2407.16531v2
2407.16531
2024-07-23
natural-language-processing
(-1)-Form Symmetries and Anomaly Shifting from SymTFT
We investigate (-1)-form symmetries using the framework of symmetry topological field theories. Previous studies of (-1)-form symmetries have primarily focused on SymTFTs with topological point operators. Here we examine SymTFTs devoid of point operators, constructed to realize zero-form symmetries of some physical the...
https://arxiv.org/abs/2505.14807v1
2505.14807
2025-05-20
natural-language-processing
(-1)-form symmetries from M-theory and SymTFTs
We explore $(-1)$-form symmetries within the framework of geometric engineering in M-theory. By constructing the Symmetry Topological Field Theory (SymTFT) for selected 5d $\mathcal{N}=1$, 4d $\mathcal{N}=2$ and 4d $\mathcal{N}=1$ theories, we formalize the geometric origin of these symmetries and compute the mixed ano...
https://arxiv.org/abs/2411.19683v3
2411.19683
2024-11-29
natural-language-processing
1-form Symmetries of 4d N=2 Class S Theories
We determine the 1-form symmetry group for any 4d N = 2 class S theory constructed by compactifying a 6d N=(2,0) SCFT on a Riemann surface with arbitrary regular untwisted and twisted punctures. The 6d theory has a group of mutually non-local dimension-2 surface operators, modulo screening. Compactifying these surface ...
https://arxiv.org/abs/2102.01693v2
2102.01693
2021-02-02
natural-language-processing
1-form symmetry and the selection rule of the plaquette valence bond solid phase on kagome lattice
We study the plaquette valence bond solid phase in a XXZ type spin-1/2 model in the kagome lattice. The low energy theory for this phase is a U(1) lattice gauge theory on the honeycomb lattice. We find that there is an emergent 1-form U(1) symmetry in low energy, and there is a mixed anomaly. We also show that this 1-f...
https://arxiv.org/abs/2306.03348v1
2306.03348
2023-06-06
natural-language-processing
1-Form Symmetry, Isolated N=2 SCFTs, and Calabi-Yau Threefolds
We systematically study 4D $\mathcal{N}=2$ superconformal field theories (SCFTs) that can be constructed via type IIB string theory on isolated hypersurface singularities (IHSs) embedded in $\mathbb{C}^4$. We show that if a theory in this class has no $\mathcal{N}=2$-preserving exactly marginal deformation (i.e., the t...
https://arxiv.org/abs/2106.09807v2
2106.09807
2021-06-17
natural-language-processing
1-form symmetry versus large N QCD
We show that large N QCD does not have an emergent $\mathbb{Z}_N$ 1-form symmetry. Our results suggest that a symmetry-based understanding of (approximate) confinement in QCD would require some further generalization of the notion of generalized global symmetries.
https://arxiv.org/abs/2209.00027v2
2209.00027
2022-08-31
natural-language-processing
1 From the Pursuit of Universal AGI Architecture to Systematic Approach to Heterogenous AGI: Addressing Alignment, Energy, & AGI Grand Challenges
AI faces a trifecta of grand challenges: the Energy Wall, the Alignment Problem and the Leap from Narrow AI to AGI. Contemporary AI solutions consume unsustainable amounts of energy during model training and daily operations. Making things worse, the amount of computation required to train each new AI model has been do...
https://arxiv.org/abs/2310.15274v2
2310.15274
2023-10-23
natural-language-processing
$1/f^α$ noise in the Robin Hood model
We consider the Robin Hood dynamics, a one-dimensional extremal self-organized critical model that describes the evolution of low-temperature creep. One of the key quantities is the time evolution of the state variable (force noise). To understand the temporal correlations, we compute the power spectra of the local for...
https://arxiv.org/abs/2405.00443v1
2405.00443
2024-05-01
natural-language-processing
1GHz clocked distribution of electrically generated entangled photon pairs
Quantum networks are essential for realising distributed quantum computation and quantum communication. Entangled photons are a key resource, with applications such as quantum key distribution, quantum relays, and quantum repeaters. All components integrated in a quantum network must be synchronised and therefore compl...
https://arxiv.org/abs/2004.14880v2
2004.14880
2020-04-30
natural-language-processing
1 GHz dual-comb spectrometer for fast and broadband measurements
Dual-frequency comb spectroscopy permits broadband precision spectroscopic measurements with short acquisition time. A dramatic improvement of the maximal spectral bandwidth and the minimal measurement time can be expected when the lasers' pulse repetition rate is increased, owing to a quadratic dependence (Nyquist cri...
https://arxiv.org/abs/2111.08599v1
2111.08599
2021-11-16
natural-language-processing
1-GHz mid-infrared frequency comb spanning 3 to 13 μm
Mid-infrared (MIR) spectrometers are invaluable tools for molecular fingerprinting and hyper-spectral imaging. Among the available spectroscopic approaches, GHz MIR dual-comb absorption spectrometers have the potential to simultaneously combine the high-speed, high spectral resolution, and broad optical bandwidth neede...
https://arxiv.org/abs/2201.07134v1
2201.07134
2022-01-18
natural-language-processing
1-Greedy renormings of Garling sequence spaces
Garling sequence spaces admit a renorming with respect to which their standard unit vector basis is 1-greedy. We also discuss some additional properties of these Banach spaces related to uniform convexity and superreflexivity. In particular, our approach to the study of the superreflexivity of Garling sequence space pr...
http://arxiv.org/abs/1705.03924v1
1705.03924
2017-05-10
natural-language-processing
1-HKUST: Object Detection in ILSVRC 2014
The Imagenet Large Scale Visual Recognition Challenge (ILSVRC) is the one of the most important big data challenges to date. We participated in the object detection track of ILSVRC 2014 and received the fourth place among the 38 teams. We introduce in our object detection system a number of novel techniques in localiza...
http://arxiv.org/abs/1409.6155v3
1409.6155
2014-09-22
natural-language-processing
1H(n,el) as a Cross Section Reference in a White Source Neutron Beam With the fissionTPC
We provide a quantitative description of a method to measure neutron-induced fission cross sections in ratio to elastic hydrogen scattering in a white-source neutron beam with the fission Time Projection Chamber. This detector has measured precision fission cross section ratios using actinide references such as $^{235}...
http://arxiv.org/abs/1904.10558v1
1904.10558
2019-04-23
natural-language-processing
$^1$H-NMR Dipole-Dipole Relaxation in Fluids: Relaxation of Individual $^1$H-$^1$H Pairs versus Relaxation of Molecular Modes
The intra-molecular $^1$H-NMR dipole-dipole relaxation of molecular fluids has traditionally been interpreted within the Bloembergen-Purcell-Pound (BPP) theory of NMR intra-molecular relaxation. The BPP theory draws upon Debye's theory for describing the rotational diffusion of the $^1$H-$^1$H pair and predicts a mono-...
http://arxiv.org/abs/2006.06055v3
2006.06055
2020-09-13
natural-language-processing
$1^{-+}$ Hybrid in $J/ψ$ Radiative Decays from Lattice QCD
We present the first theoretical prediction of the production rate of $1^{-+}$ light hybrid meson $\eta_1$ in $J/\psi$ radiative decays. In the $N_f=2$ lattice QCD formalism with the pion mass $m_\pi\approx 350$ MeV, the related electromagnetic multipole form factors are extracted from the three-point functions that in...
https://arxiv.org/abs/2207.04694v3
2207.04694
2022-07-11
natural-language-processing