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$1D$ 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
cybersecurity
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
cybersecurity
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
cybersecurity
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
cybersecurity
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
cybersecurity
'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
cybersecurity
(-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
cybersecurity
$1/\epsilon$ 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
cybersecurity
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
cybersecurity
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
cybersecurity
$1/f^{3/2}$ 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
cybersecurity
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
cybersecurity
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
cybersecurity
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
cybersecurity
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
cybersecurity
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
cybersecurity
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
cybersecurity
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
cybersecurity
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
cybersecurity
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
cybersecurity
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
cybersecurity
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
cybersecurity
$1/f$ 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
cybersecurity
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
cybersecurity
$1/f$ 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
cybersecurity
$1/f$ 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
cybersecurity
$1/f$ 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
cybersecurity
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
cybersecurity
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
cybersecurity
$1/f$ 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
cybersecurity
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
cybersecurity
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
cybersecurity
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
cybersecurity
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
cybersecurity
(-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
cybersecurity
(-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
cybersecurity
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
cybersecurity
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
cybersecurity
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
cybersecurity
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
cybersecurity
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
cybersecurity
$1/f^α$ 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
cybersecurity
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
cybersecurity
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
cybersecurity
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
cybersecurity
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
cybersecurity
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
cybersecurity
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
cybersecurity
$^1$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
cybersecurity
$1^{-+}$ 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
cybersecurity
1I/2017 'Oumuamua-like Interstellar Asteroids as Possible Messengers from the Dead Stars
Discovery of the first interstellar asteroid (ISA) - 1I/2017 'Oumuamua - raised a number of questions regarding its origin. Many of them relate to its lack of cometary activity, suggesting refractory composition of 'Oumuamua. Here we explore the possibility that 'Oumuamua-like ISAs are produced in tidal disruption even...
http://arxiv.org/abs/1801.02658v3
1801.02658
2018-05-16
cybersecurity
1I/2017 U1 (`Oumuamua) is Hot: Imaging, Spectroscopy and Search of Meteor Activity
1I/2017 U1 (`Oumuamua), a recently discovered asteroid in a hyperbolic orbit, is likely the first macroscopic object of extrasolar origin identified in the solar system. Here, we present imaging and spectroscopic observations of \textquoteleft Oumuamua using the Palomar Hale Telescope as well as a search of meteor acti...
http://arxiv.org/abs/1711.02320v2
1711.02320
2017-11-13
cybersecurity
1I/2017 U1 (Oumuamua) Might Be A Cometary Nucleus
In this work we find evidence that the object is of cometary origin.
http://arxiv.org/abs/1711.07535v1
1711.07535
2017-11-20
cybersecurity
1-in-3 vs. Not-All-Equal: Dichotomy of a broken promise
The 1-in-3 and Not-All-Equal satisfiability problems for Boolean CNF formulas are two well-known NP-hard problems. In contrast, the promise 1-in-3 vs. Not-All-Equal problem can be solved in polynomial time. In the present work, we investigate this constraint satisfaction problem in a regime where the promise is weakene...
https://arxiv.org/abs/2302.03456v3
2302.03456
2023-02-07
cybersecurity
$1$-independent percolation on $\mathbb{Z}^2 \times K_n$
A random graph model on a host graph H is said to be 1-independent if for every pair of vertex-disjoint subsets A,B of E(H), the state of edges (absent or present) in A is independent of the state of edges in B. For an infinite connected graph H, the 1-independent critical percolation probability $p_{1,c}(H)$ is the in...
https://arxiv.org/abs/2106.08674v2
2106.08674
2021-06-16
cybersecurity
1I/'Oumuamua as an N2 ice fragment of an exo-pluto surface. II. Generation of N2 ice fragments and the origin of 'Oumuamua
The origin of the interstellar object 1I/'Oumuamua, has defied explanation. In a companion paper (Jackson & Desch, 2021), we show that a body of N2 ice with axes 45 m x 44 m x 7.5 m at the time of observation would be consistent with its albedo, non-gravitational acceleration, and lack of observed CO or CO2 or dust. He...
https://arxiv.org/abs/2103.08812v1
2103.08812
2021-03-16
cybersecurity
1I/'Oumuamua as an N2 ice fragment of an exo-Pluto surface: I. size and compositional constraints
The origin of the interstellar object 1I/'Oumuamua has defied explanation. We perform calculations of the non-gravitational acceleration that would be experienced by bodies composed of a range of different ices and demonstrate that a body composed of N2 ice would satisfy the available constraints on the non-gravitation...
https://arxiv.org/abs/2103.08788v1
2103.08788
2021-03-16
cybersecurity
1I/`Oumuamua as a Tidal Disruption Fragment From a Binary Star System
1I/`Oumuamua is the first known interstellar small body, probably being only about 100~m in size. Against expectations based on comets, `Oumuamua does not show any activity and has a very elongated figure, and also exhibits undamped rotational tumbling. In contrast, `Oumuamua's trajectory indicates that it was moving w...
http://arxiv.org/abs/1712.01823v2
1712.01823
2017-12-18
cybersecurity
1I/`Oumuamua As Debris of Dwarf Interstellar Comet That Disintegrated Before Perihelion
Intrinsically faint comets in nearly-parabolic orbits with perihelion distances much smaller than 1 AU exhibit strong propensity for suddenly disintegrating at a time not long before perihelion, as shown by Bortle (1991). Evidence from available observations of such comets suggests that the disintegration event usually...
http://arxiv.org/abs/1901.08704v3
1901.08704
2019-01-30
cybersecurity
1-jettiness with jet axis at $O(α_s)$ in jeep inelastic scattering
We present $O(\alpha_s)$ analytic predictions for event shape 1-jettiness $\tau_1$ distribution aiming measurements in deep inelastic scattering process at future Electron Ion Colliders. The result depends on conventional variables $x$ and $Q$ as well as on $\tau_1$ and is relatively compact and easy to implement for n...
https://arxiv.org/abs/2202.08040v2
2202.08040
2022-02-16
cybersecurity
"$1k_F$" Singularities and Finite Density ABJM Theory at Strong Coupling
We study non-analytic behavior in the static charge susceptibility in finite density states of the ABJM theory using its holographic dual. Emphasis is placed on a particular state characterized by vanishing entropy density at zero temperature, and Fermi surface-like singularities in various fermionic correlation functi...
http://arxiv.org/abs/1612.06823v2
1612.06823
2017-06-23
cybersecurity
$1/k$-homogeneous long solenoids
We study nonmetric analogues of Vietoris solenoids. Let $\Lambda$ be an ordered continuum, and let $\vec{p}=\langle p_1,p_2,\dots\rangle$ be a sequence of positive integers. We define a natural inverse limit space $S(\Lambda,\vec{p})$, where the first factor space is the nonmetric "circle" obtained by identifying the e...
http://arxiv.org/abs/1412.8508v2
1412.8508
2017-10-11
cybersecurity
-1 Krall-Jacobi Polynomials
We study a family of orthogonal polynomials which satisfy (apart from a 3-term recurrence relation) an eigenvalue equation involving a third order differential operator of Dunkl-type. The orthogonality measure of these polynomials consists in the continuous measure of the little -1 Jacobi polynomials to which is added ...
http://arxiv.org/abs/1205.7037v2
1205.7037
2015-02-19
cybersecurity
1 kW, 10 mJ, 120 fs coherently combined fiber CPA laser system
An ultrafast fiber chirped-pulse amplification laser system based on coherent combination of 16 ytterbium-doped rod-type amplifiers is presented. It generates 10 mJ pulse energy at 1 kW average power and 120 fs pulse duration. A partially helium-protected, two-staged chirped-pulse amplification grating compressor is im...
https://arxiv.org/abs/2103.05614v1
2103.05614
2021-03-09
cybersecurity
1kW 1mJ 8-channel ultrafast fiber laser
An ultrafast fiber chirped-pulse amplifier comprising 8 coherently combined amplifier channels is presented. The laser delivers 1 kW average power at 1 mJ pulse energy and 260 fs pulse duration. Excellent beam quality and low noise performance are confirmed. The laser has proven suitable for demanding scientific applic...
https://arxiv.org/abs/2101.08498v1
2101.08498
2021-01-21
cybersecurity
$1/L^2$ corrected soft photon theorem from a CFT$_3$ Ward identity
Classical soft theorems applied to probe scattering processes on AdS$_4$ spacetimes predict the existence of $1/L^2$ corrections to the soft photon and soft graviton factors of asymptotically flat spacetimes. In this paper, we establish that the $1/L^2$ corrected soft photon theorem can be derived from a large $N$ CFT$...
https://arxiv.org/abs/2209.06802v1
2209.06802
2022-09-14
cybersecurity
1-Laplacian type problems with strongly singular nonlinearities and gradient terms
We show optimal existence, nonexistence and regularity results for nonnegative solutions to Dirichlet problems as $$ \begin{cases} \displaystyle -\Delta_1 u = g(u)|D u|+h(u)f & \text{in}\;\Omega,\\ u=0 & \text{on}\;\partial\Omega, \end{cases} $$ where $\Omega$ is an open bounded subset of $\mathbb{R}^N$, $f\geq 0$ belo...
http://arxiv.org/abs/1910.13311v1
1910.13311
2019-10-29
cybersecurity
$1 \leftrightarrow 2$ Processes of a Sterile Neutrino Around Electroweak Scale in the Thermal Plasma
In this paper, we will apply the Goldstone equivalence gauge to calculate the $1 \leftrightarrow 2$ processes of a sterile neutrino in the thermal plasma below the standard model (SM) critical temperature $T_c \approx 160 \text{ GeV}$. The sterile neutrino's mass is around the electroweak scale $50 \text{ GeV} \leq m_N...
http://arxiv.org/abs/2008.00642v2
2008.00642
2020-10-10
cybersecurity
1-Lipschitz Layers Compared: Memory Speed and Certifiable Robustness
The robustness of neural networks against input perturbations with bounded magnitude represents a serious concern in the deployment of deep learning models in safety-critical systems. Recently the scientific community has focused on enhancing certifiable robustness guarantees by crafting \ols neural networks that l...
http://openaccess.thecvf.com//content/CVPR2024/html/Prach_1-Lipschitz_Layers_Compared_Memory_Speed_and_Certifiable_Robustness_CVPR_2024_paper.html
null
2024-01-01
cybersecurity
1-Lipschitz Layers Compared: Memory, Speed, and Certifiable Robustness
The robustness of neural networks against input perturbations with bounded magnitude represents a serious concern in the deployment of deep learning models in safety-critical systems. Recently, the scientific community has focused on enhancing certifiable robustness guarantees by crafting 1-Lipschitz neural networks th...
https://arxiv.org/abs/2311.16833v1
2311.16833
2023-11-28
cybersecurity
1-Lipschitz Neural Distance Fields
Neural implicit surfaces are a promising tool for geometry processing that represent a solid object as the zero level set of a neural network. Usually trained to approximate a signed distance function of the considered object, these methods exhibit great visual fidelity and quality near the surface, yet their propertie...
https://arxiv.org/abs/2407.09505v1
2407.09505
2024-06-14
cybersecurity
1-Lipschitz Neural Networks are more expressive with N-Activations
A crucial property for achieving secure, trustworthy and interpretable deep learning systems is their robustness: small changes to a system's inputs should not result in large changes to its outputs. Mathematically, this means one strives for networks with a small Lipschitz constant. Several recent works have focused o...
https://arxiv.org/abs/2311.06103v2
2311.06103
2023-11-10
cybersecurity
1-loop Amplitudes from the Halohedron
We recently proposed the Halohedron to be the 1-loop Amplituhedron for planar $\phi^3$ theory. Here we prove this claim by showing how it is possible to extract the integrand for the partial amplitude $m^1_n(1,\dots,n|1,\dots,n)$ from the canonical form of an Halohedron which lives in an abstract space. This space is j...
http://arxiv.org/abs/1806.01842v2
1806.01842
2019-10-20
cybersecurity
1-loop Color structures and sunny diagrams
Recently the space of tree level color structures for gluon scattering was determined in arXiv:1403.6837 together with its transformation properties under permutations. Here we generalize the discussion to loops, demonstrating a reduction of an arbitrary color diagram to its vacuum skeleton plus rays. For 1-loop there ...
http://arxiv.org/abs/1406.1504v2
1406.1504
2017-05-25
cybersecurity
1-loop equals torsion for fibered 3-manifolds
In earlier work of two of the authors, two 1-loop polynomial invariants of cusped 3-manifolds were constructed using combinatorial data of ideal triangulations, and conjectured to be equal to the $\mathbb{C}^2$ and the $\mathbb{C}^3$-torsion polynomials. Here, we prove this conjecture for layered triangulations of fibe...
https://arxiv.org/abs/2304.00469v3
2304.00469
2023-04-02
cybersecurity
1-loop equals torsion for two-bridge knots
Motivated by the conjectured asymptotics of the Kashaev invariant, Dimofte and the first author introduced a power series associated to a suitable ideal triangulation of a cusped hyperbolic 3-manifold, proved that its constant (1-loop) term is a topological invariant and conjectured that it equals to the adjoint Reidem...
https://arxiv.org/abs/2411.03801v2
2411.03801
2024-11-06
cybersecurity
1-loop mass generation by a constant external magnetic field for an electron propagating in a thin medium
The 1-loop self-energy of a Dirac electron of mass m propagating in a thin medium simulating graphene in an external magnetic field B is investigated in Quantum Field Theory. Equivalence is shown with the so-called reduced QED_{3+1} on a 2-brane. Schwinger-like methods are used to calculate the self-mass \delta m_{LLL}...
http://arxiv.org/abs/1607.00838v2
1607.00838
2018-03-13
cybersecurity
1-loop matching of a thermal Lorentz force
Studying the diffusion and kinetic equilibration of heavy quarks within a hot QCD medium profits from the knowledge of a coloured Lorentz force that acts on them. Starting from the spatial components of the vector current, and carrying out two matching computations, one for the heavy quark mass scale ($M$) and another ...
https://arxiv.org/abs/2103.14270v2
2103.14270
2021-03-26
cybersecurity
1-matrix functional for long-range interaction energy of two hydrogen atoms
The leading terms in the large-$R$ asymptotics of the functional of the one-electron reduced density matrix for the ground-state energy of the H$_2$ molecule with the internuclear separation $R$ is derived thanks to the solution of the phase dilemma at the $R \to \infty$ limit. At this limit, the respective natural orb...
https://arxiv.org/abs/2303.06400v1
2303.06400
2023-03-11
cybersecurity
1M-Deepfakes Detection Challenge
The detection and localization of deepfake content, particularly when small fake segments are seamlessly mixed with real videos, remains a significant challenge in the field of digital media security. Based on the recently released AV-Deepfake1M dataset, which contains more than 1 million manipulated videos across more...
https://arxiv.org/abs/2409.06991v1
2409.06991
2024-09-11
cybersecurity
1-MHz operation of 1.7-cycle multiple plate compression at 35-W average output power
We generated 1.7-cycle and 35-$\mu$J pulses at a 1-MHz repetition rate by using two-stage multiple plate continuum compression of Yb-laser pulses with 80-W average input power. By adjusting the plate positions with careful consideration of the thermal lensing effect due to the high average power, we compressed the outp...
https://arxiv.org/abs/2210.12976v2
2210.12976
2022-10-24
cybersecurity
1 Million Captioned Dutch Newspaper Images
Images naturally appear alongside text in a wide variety of media, such as books, magazines, newspapers, and in online articles. This type of multi-modal data offers an interesting basis for vision and language research but most existing datasets use crowdsourced text, which removes the images from their original conte...
https://aclanthology.org/L16-1488
null
2016-05-01
cybersecurity
1 minute parity lifetime of a NbTiN Cooper-pair transistor
The parity modulation of the ground state of a superconducting island is a direct consequence of the presence of the Cooper pair condensate preferring an even number of charge carriers. The addition energy of an odd, unpaired quasiparticle equals to the superconducting gap, $\Delta$, suppressing single electron hopping...
http://arxiv.org/abs/1501.03855v1
1501.03855
2015-01-16
cybersecurity
1 Modular Parallel Manipulator for Long-Term Soft Robotic Data Collection
Performing long-term experimentation or large-scale data collection for machine learning in the field of soft robotics is challenging, due to the hardware robustness and experimental flexibility required. In this work, we propose a modular parallel robotic manipulation platform suitable for such large-scale data collec...
https://arxiv.org/abs/2409.03614v1
2409.03614
2024-09-05
cybersecurity
1-Motives Associated to the Limiting Mixed Hodge Structures of Degenerations of Curves
In this article, we will give the Deligne 1-motives up to isogeny corresponding to the $\mathbb{Q}$-limiting mixed Hodge structures of semi-stable degenerations of curves, by using logarithmic structures and Steenbrink's cohomological mixed Hodge complexes associated to semi-stable degenerations of curves.
http://arxiv.org/abs/1707.08550v3
1707.08550
2018-10-13
cybersecurity
1MP and MP1 inverses and one-sided star orders in a ring with involution
The classes of 1MP-inverses and MP1-inverses are recently introduced classes of generalized inverses of complex matrix. Actually, they coincide with the classes of $\{1,2,3\}$ and $\{1,2,4\}$ inverses, respectively. We consider these inverses in the context of a ring with involution and prove that their most important ...
https://arxiv.org/abs/2205.15132v1
2205.15132
2022-05-30
cybersecurity
1M parameters are enough? A lightweight CNN-based model for medical image segmentation
Convolutional neural networks (CNNs) and Transformer-based models are being widely applied in medical image segmentation thanks to their ability to extract high-level features and capture important aspects of the image. However, there is often a trade-off between the need for high accuracy and the desire for low comput...
https://arxiv.org/abs/2306.16103v2
2306.16103
2023-06-28
cybersecurity
$1/(M_{R})_{33}$ expansion of the type-I seesaw mechanism and partial $Z_{2}$ symmetry for TM$_{1,2}$ mixing
We consider an expansion of the type-I seesaw mechanism by the inverse of the 3-3 matrix element $1/(M_{R})_{33}$ of the mass matrix of right-handed neutrinos $M_{R}$. Conditions of such a situation are obtained for $M_{R}$ and the Dirac mass matrix $m_{D}$. In this case, a partial $Z_{2}$ symmetry such as $S m_{D} P_{...
https://arxiv.org/abs/2208.10000v2
2208.10000
2022-08-22
cybersecurity
1-Multisoliton and other invariant solutions of combined KdV - nKdV equation by using symmetry approach
Lie symmetry method is applied to investigate symmetries of the combined KdV-nKdV equation, that is a new integrable equation by combining the KdV equation and negative order KdV equation. Symmetries which are obtained in this article, are further helpful for reducing the combined KdV-nKdV equation into ordinary differ...
http://arxiv.org/abs/1805.10983v1
1805.10983
2018-05-28
cybersecurity
$1/N_c$ approximation and universality of vector mesons
In this work, we argue that the observed differences in the value of the vector coupling constant extracted from the decays $\rho\to \pi\pi$ ($g_{\rho} = 6.0$), $\rho\to l^+l^-$ ($g_{\rho} = 5.0 $) and $\omega\to l^+ l^-$ ($g_{\rho} = 5.7$), where $l=e,\mu $, are an indication of the important role played by the $1/N_c...
https://arxiv.org/abs/2105.02160v2
2105.02160
2021-05-05
cybersecurity
$1/N_c$ Nambu -- Jona-Lasinio model: Electrically charged and strange pseudoscalars
The mass formulas and decay constants of electrically charged and strange pseudoscalar mesons are analyzed within the combined framework of Nambu -- Jona-Lasinio model and the $1/N_c$ expansion up to $\mathcal O(1/N_c^2)$. The light quark masses explicitly violating $SU(3)_L\times SU(3)_R$ chiral symmetry of the strong...
https://arxiv.org/abs/2302.14118v2
2302.14118
2023-02-27
cybersecurity
$1/N_c$ Nambu -- Jona-Lasinio model: $π^0$, $η$ and $η'$ mesons
We continue to study the properties of the light pseudoscalar nonet within the combined framework of Nambu -- Jona-Lasinio model and $1/N_c$ expansion, assuming that current quark masses count of order $\mathcal O(1/N_c)$. The masses, mixing angles and decay constants of the $\pi^0$, $\eta$ and $\eta'$ are calculated. ...
https://arxiv.org/abs/2303.01865v2
2303.01865
2023-03-03
cybersecurity
$1/N$ Corrections in $\text{QCD}_2$: Small Mass Limit and Threshold States
In this paper we investigate $1/N$ corrections to mesonic spectrum in $1+1$-dimensional Quantum Chromodynamics ($\text{QCD}_2$) with fundamental quarks using effective Hamiltonian method. We express the corrections in terms of 't Hooft equation solutions. First, we consider 2-flavor model with a heavy and a light quark...
https://arxiv.org/abs/2405.04031v3
2405.04031
2024-05-07
cybersecurity
1/N corrections to $F_1$ and $F_2$ structure functions of vector mesons from holography
The structure functions $F_1$ and $F_2$ of the hadronic tensor of vector mesons are obtained at order $1/N$ and strong coupling using the gauge/gravity duality. We find that the large $N$ limit and the high energy one do not commute. Thus, by considering the high energy limit first, our results of the first moments of ...
http://arxiv.org/abs/1809.10515v1
1809.10515
2018-09-27
cybersecurity
1/N Expansion for Horava-Lifshitz like four-fermion models
We study a class of four-fermion Gross-Neveu like models in four dimensions with critical exponents $z=2$ and $z=3$. The models with $z=2$ are known to be perturbatively nonrenormalizable but are shown to be renormalizable in the context of the $1/N$ expansion. We calculate explicitly the effective potential for these ...
http://arxiv.org/abs/2001.06467v1
2001.06467
2020-01-17
cybersecurity
$1/N$-expansion for the critical temperature of the Bose gas
We revised the large-$N$ expansion for a three-dimensional Bose system with short-range repulsion in normal phase. Particularly, for the model potential that is characterised only by the $s$-wave scattering length $a$ the full numerical calculations of the critical temperature in the $1/N$-approximation as a function o...
http://arxiv.org/abs/1704.08968v1
1704.08968
2017-04-28
cybersecurity
$1/N$ expansion of circular Wilson loop in $\mathcal N=2$ superconformal $SU(N)\times SU(N)$ quiver
Localization approach to $\mathcal N=2$ superconformal $SU(N) \times SU(N)$ quiver theory leads to a non-Gaussian two-matrix model representation for the expectation value of BPS circular $SU(N)$ Wilson loop $\langle\mathcal W\rangle$. We study the subleading $1/N^2$ term in the large $N$ expansion of $\langle\mathcal ...
https://arxiv.org/abs/2102.07696v3
2102.07696
2021-02-15
cybersecurity
$1/N$ expansion of the D3-D5 defect CFT
We consider four dimensional $U(N)$ $\mathcal N=4$ SYM theory interacting with a 3d $\mathcal N=4$ theory living on a codimension-one interface and holographically dual to the D3-D5 system without flux. Localization captures several observables in this dCFT, including its free energy, related to the defect expectation ...
https://arxiv.org/abs/2212.12415v2
2212.12415
2022-12-23
cybersecurity
1-norm minimization and minimum-rank structured sparsity for symmetric and ah-symmetric generalized inverses: rank one and two
Generalized inverses are important in statistics and other areas of applied matrix algebra. A \emph{generalized inverse} of a real matrix $A$ is a matrix $H$ that satisfies the Moore-Penrose (M-P) property $AHA=A$. If $H$ also satisfies the M-P property $HAH=H$, then it is called \emph{reflexive}. Reflexivity of a gene...
http://arxiv.org/abs/2010.11406v1
2010.11406
2020-10-20
cybersecurity
1/N Perturbations in Superstring Bit Models
We develop the 1/N expansion for stable string bit models, focusing on a model with bit creation operators carrying only transverse spinor indices a=1,...,s. At leading order (1/N=0), this model produces a (discretized) lightcone string with a "transverse space' of $s$ Grassmann worldsheet fields. Higher orders in the ...
http://arxiv.org/abs/1512.08439v1
1512.08439
2015-12-28
cybersecurity