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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
natural-language-processing
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
natural-language-processing
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
natural-language-processing
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
natural-language-processing
$1$-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
natural-language-processing
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
natural-language-processing
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
natural-language-processing
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
natural-language-processing
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
natural-language-processing
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
natural-language-processing
"$1k_F$" 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
natural-language-processing
$1/k$-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
natural-language-processing
-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
natural-language-processing
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
natural-language-processing
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
natural-language-processing
$1/L^2$ 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
natural-language-processing
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
natural-language-processing
$1 \leftrightarrow 2$ 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
natural-language-processing
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
natural-language-processing
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
natural-language-processing
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
natural-language-processing
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
natural-language-processing
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
natural-language-processing
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
natural-language-processing
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
natural-language-processing
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
natural-language-processing
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
natural-language-processing
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
natural-language-processing
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
natural-language-processing
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
natural-language-processing
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
natural-language-processing
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
natural-language-processing
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
natural-language-processing
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
natural-language-processing
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
natural-language-processing
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
natural-language-processing
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
natural-language-processing
$1/(M_{R})_{33}$ 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
natural-language-processing
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
natural-language-processing
$1/N_c$ 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
natural-language-processing
$1/N_c$ 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
natural-language-processing
$1/N_c$ 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
natural-language-processing
$1/N$ 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
natural-language-processing
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
natural-language-processing
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
natural-language-processing
$1/N$-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
natural-language-processing
$1/N$ 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
natural-language-processing
$1/N$ 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
natural-language-processing
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
natural-language-processing
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
natural-language-processing
1-OGC: The first open gravitational-wave catalog of binary mergers from analysis of public Advanced LIGO data
We present the first Open Gravitational-wave Catalog (1-OGC), obtained by using the public data from Advanced LIGO's first observing run to search for compact-object binary mergers. Our analysis is based on new methods that improve the separation between signals and noise in matched-filter searches for gravitational wa...
http://arxiv.org/abs/1811.01921v2
1811.01921
2018-11-05
natural-language-processing
1 {\Omega}-10 k{\Omega} high precision transportable setup to calibrate multifunction electrical instruments
A temperature controlled 1 {\Omega}-10 k{\Omega} standard Resistors transportable setup was developed at National Institute of Metrological Research, (INRIM) for the calibration and adjustment of multifunction electrical instruments. The two Standards consist respectively of two 10 {\Omega} and 100 k{\Omega} parallel c...
http://arxiv.org/abs/1505.04398v1
1505.04398
2015-05-17
natural-language-processing
1-out-of-2 Oblivious transfer using flawed Bit-string quantum protocol
Oblivious transfer (OT) is an important tool in cryptography. It serves as a subroutine to other complex procedures of both theoretical and practical significance. Common attribute of OT protocols is that one party (Alice) has to send a message to another party (Bob) and has to stay oblivious on whether Bob did receive...
http://arxiv.org/abs/1611.10087v1
1611.10087
2016-11-30
natural-language-processing
1-out-of-n Oblivious Signatures: Security Revisited and a Generic Construction with an Efficient Communication Cost
1-out-of-n oblivious signature by Chen (ESORIC 1994) is a protocol between the user and the signer. In this scheme, the user makes a list of n messages and chooses the message that the user wants to obtain a signature from the list. The user interacts with the signer by providing this message list and obtains the signa...
https://arxiv.org/abs/2404.00602v1
2404.00602
2024-03-31
natural-language-processing
1-PAGER: One Pass Answer Generation and Evidence Retrieval
We present 1-Pager the first system that answers a question and retrieves evidence using a single Transformer-based model and decoding process. 1-Pager incrementally partitions the retrieval corpus using constrained decoding to select a document and answer string, and we show that this is competitive with comparable re...
https://arxiv.org/abs/2310.16568v1
2310.16568
2023-10-25
natural-language-processing
1 Particle - 1 Qubit: Particle Physics Data Encoding for Quantum Machine Learning
We introduce 1P1Q, a novel quantum data encoding scheme for high-energy physics (HEP), where each particle is assigned to an individual qubit, enabling direct representation of collision events without classical compression. We demonstrate the effectiveness of 1P1Q in quantum machine learning (QML) through two applicat...
https://arxiv.org/abs/2502.17301v1
2502.17301
2025-02-24
natural-language-processing
1-perfectly orientable graphs and graph products
A graph G is said to be 1-perfectly orientable (1-p.o. for short) if it admits an orientation such that the out-neighborhood of every vertex is a clique in G. The class of 1-p.o. graphs forms a common generalization of the classes of chordal and circular arc graphs. Even though 1-p.o. graphs can be recognized in polyno...
http://arxiv.org/abs/1511.07314v2
1511.07314
2016-08-30
natural-language-processing
$1$-perfectly orientable $K_4$-minor-free and outerplanar graphs
A graph $G$ is said to be $1$-perfectly orientable if it has an orientation such that for every vertex $v\in V(G)$, the out-neighborhood of $v$ in $D$ is a clique in $G$. In $1982$, Skrien posed the problem of characterizing the class of $1$-perfectly orientable graphs. This graph class forms a common generalization of...
http://arxiv.org/abs/1604.04598v2
1604.04598
2016-04-19
natural-language-processing
1-planar graphs are odd 13-colorable
An odd coloring of a graph $G$ is a proper coloring such that any non-isolated vertex in $G$ has a coloring appears odd times on its neighbors. The odd chromatic number, denoted by $\chi_o(G)$, is the minimum number of colors that admits an odd coloring of $G$. Petru\v{s}evski and \v{S}krekovski in 2021 introduced this...
https://arxiv.org/abs/2206.13967v1
2206.13967
2022-06-28
natural-language-processing
1-planar graphs with minimum degree at least 3 have bounded girth
We show that every 1-planar graph with minimum degree at least 4 has girth at most $8$, and every 1-planar graph with minimum degree at least 3 has girth at most $198$.
http://arxiv.org/abs/2001.05402v2
2001.05402
2020-01-16
natural-language-processing
1-planar unit distance graphs
A matchstick graph is a plane graph with edges drawn as unit distance line segments. This class of graphs was introduced by Harborth who conjectured that a matchstick graph on $n$ vertices can have at most $\lfloor 3n - \sqrt{12n - 3}\rfloor$ edges. Recently his conjecture was settled by Lavoll\'ee and Swanepoel. In th...
https://arxiv.org/abs/2310.00940v1
2310.00940
2023-10-02
natural-language-processing
1PN effective binary Lagrangian for the gravity-Kalb-Ramond sector in the conservative regime
Within the framework of string theory, a number of new fields are possible correcting the Einstein-Hilbert action, including a Kalb-Ramond two-form field. In this work we derive explicitly first order relativistic corrections to conservative dynamics with a Kalb-Ramond field, using the effective field theory approach. ...
https://arxiv.org/abs/2312.11322v1
2312.11322
2023-12-18
natural-language-processing
1-Point Functions for $\mathbb{Z}_2$-orbifolds of Lattice VOAs
In this paper, we compute the 1-point correlation functions of all states for the $\mathbb{Z}_2$-orbifolds of lattice vertex operator algebras.
https://arxiv.org/abs/2505.02954v1
2505.02954
2025-05-05
natural-language-processing
1-point functions for symmetrized Heisenberg and symmetrized lattice vertex operator algebras
We obtain explicit formulas for the $1$-point functions of all states in the symmetrized Heisenberg algebra $M^+$ and symmetrized lattice VOAs $V_L^+$. For this we employ a new $\mathbf Z_2$-twisted variant of so-called Zhu recursion.
https://arxiv.org/abs/2204.08318v1
2204.08318
2022-04-18
natural-language-processing
1-Point RANSAC-Based Method for Ground Object Pose Estimation
Solving Perspective-n-Point (PnP) problems is a traditional way of estimating object poses. Given outlier-contaminated data, a pose of an object is calculated with PnP algorithms of n = {3, 4} in the RANSAC-based scheme. However, the computational complexity considerably increases along with n and the high complexity i...
https://arxiv.org/abs/2008.03718v2
2008.03718
2020-08-09
natural-language-processing
1-point RANSAC for Circular Motion Estimation in Computed Tomography (CT)
This paper proposes a RANSAC-based algorithm for determining the axial rotation angle of an object from a pair of its tomographic projections. An equation is derived for calculating the rotation angle using one correct keypoints correspondence of two tomographic projections. The proposed algorithm consists of the follo...
https://arxiv.org/abs/1910.01681v1
1910.01681
2019-10-03
natural-language-processing
$1$-product problems with congruence conditions in nonabelian groups
Let $G$ be a finite group and $D_{2n}$ be the dihedral group of $2n$ elements. For a positive integer $d$, let $\mathsf{s}_{d\mathbb{N}}(G)$ denote the smallest integer $\ell\in \mathbb{N}_0\cup \{+\infty\}$ such that every sequence $S$ over $G$ of length $|S|\geq \ell$ has a nonempty $1$-product subsequence $T$ with $...
http://arxiv.org/abs/2003.14007v1
2003.14007
2020-03-31
natural-language-processing
(1,p)-Sobolev spaces based on strongly local Dirichlet forms
In the framework of quasi-regular strongly local Dirichlet form $(\mathscr{E},D(\mathscr{E}))$ on $L^2(X;\mathfrak{m})$ admitting minimal $\mathscr{E}$-dominant measure $\mu$, we construct a natural $p$-energy functional $(\mathscr{E}^{\,p},D(\mathscr{E}^{\,p}))$ on $L^p(X;\mathfrak{m})$ and $(1,p)$-Sobolev space $(H^{...
https://arxiv.org/abs/2310.11652v2
2310.11652
2023-10-18
natural-language-processing
$1/Q^2$ power corrections to TMD factorization for Drell-Yan hadronic tensor
I calculate ${1\over Q^2}$ power corrections to unpolarized Drell-Yan hadronic tensor for electromagnetic (EM) current at large $N_c$ and demonstrate the EM gauge invariance at this level.
https://arxiv.org/abs/2404.15116v3
2404.15116
2024-04-23
natural-language-processing
1RXH J082623.6-505741: a new long-period cataclysmic variable with an evolved donor and a low mass transfer rate
We report the discovery of 1RXH J082623.6-505741, a 10.4 hr orbital period compact binary. Modeling extensive optical photometry and spectroscopy reveals a $\sim 0.4 M_{\odot}$ K-type secondary transferring mass through a low-state accretion disk to a non-magnetic $\sim 0.8 M_{\odot}$ white dwarf. The secondary is over...
https://arxiv.org/abs/2206.10625v1
2206.10625
2022-06-21
natural-language-processing
1RXS J161935.7+524630: New Polar with the Varying Accretion Modes on two Magnetic Poles
We report the discovery of a new cataclysmic variable DDE 32 identified with the ROSAT X-ray source 1RXS J161935.7+524630 in Draco. The variability was originally found by D. Denisenko on the digitized Palomar plates centered at the position of X-ray source. The photometric observations by F. Martinelli at Lajatico Ast...
http://arxiv.org/abs/1609.08511v1
1609.08511
2016-09-27
natural-language-processing
1RXS J180408.9-342058: an ultra compact X-ray binary candidate with a transient jet
We present a detailed NIR/optical/UV study of the transient low mass X-ray binary 1RXS J180408.9-342058 performed during its 2015 outburst, aimed at determining the nature of its companion star. We obtained three optical spectra at the 2.1 m San Pedro Martir Observatory telescope (Mexico). We performed optical and NIR ...
http://arxiv.org/abs/1601.05091v1
1601.05091
2016-01-19
natural-language-processing
$^1S_0$ pairing for neutrons in dense neutron matter induced by a soft pion
The possibility of neutron pairing in the $^1S_0$ channel is studied for dense neutron matter in a vicinity of the $\pi^0$ condensation point. The $^1S_0$ pairing gap $\Delta$ is shown to occur in a model with a pairing force induced by the exchange of a soft neutral pionic mode. The soft pion induced potential $V_{\pi...
http://arxiv.org/abs/1409.7225v2
1409.7225
2015-01-19
natural-language-processing
$^1$S$_0$ pairing gaps, chemical potential and entrainment matrix in superfluid neutron-star cores for the Brussels-Montreal functionals
Temperature and velocity-dependent $^1$S$_0$ pairing gaps, chemical potentials and entrainment matrix in dense homogeneous neutron-proton superfluid mixtures constituting the outer core of neutron stars, are determined fully self-consistently by solving numerically the time-dependent Hartree-Fock-Bogoliubov equations o...
https://arxiv.org/abs/2203.08778v1
2203.08778
2022-03-16
natural-language-processing
$^1S_0$ pairing in neutron matter
We report calculations of the superfluid pairing gap in neutron matter for the $^1S_0$ components of the Reid soft-core $V_6$ and the Argonne $V_{4}'$ two-nucleon interactions. Ground-state calculations have been carried out using the central part of the operator-basis representation of these interactions to determine ...
http://arxiv.org/abs/1707.07268v1
1707.07268
2017-07-23
natural-language-processing
1S-3S cw spectroscopy of hydrogen/deuterium atom
We study the 1S-3S two-photon transition of hydrogen in a thermal atomic beam, using a homemade cw laser source at 205 nm. The experimental method is described, leading in 2017 to the measurement of the 1S-3S transition frequency in hydrogen atom with a relative uncertainty of $9 \times 10^{-13}$. This result contribut...
https://arxiv.org/abs/2302.07537v1
2302.07537
2023-02-15
natural-language-processing
1-Safe Petri nets and special cube complexes: equivalence and applications
Nielsen, Plotkin, and Winskel (1981) proved that every 1-safe Petri net $N$ unfolds into an event structure $\mathcal{E}_N$. By a result of Thiagarajan (1996 and 2002), these unfoldings are exactly the trace regular event structures. Thiagarajan (1996 and 2002) conjectured that regular event structures correspond exact...
http://arxiv.org/abs/1810.03395v2
1810.03395
2019-04-24
natural-language-processing
1-Shell totally symmetric plane partitions (TSPPs) modulo powers of 5
Let $s(n)$ be the number of 1-shell totally symmetric plane partitions (TSPPs) of $n$. In this paper, an infinite family of congruences modulo powers of $5$ for $s(n)$ will be deduced through an elementary approach. Namely, $$s\left(2\cdot 5^{2\alpha-1}n+5^{2\alpha-1}\right)\equiv 0 \pmod{5^{\alpha}}.$$
http://arxiv.org/abs/1802.04344v2
1802.04344
2020-03-26
natural-language-processing
1-shifted Lie bialgebras and their quantizations
In this paper, we define (cohomologically) 1-shifted Manin triples and 1-shifted Lie bialgebras, and study their properties. We derive many results that are parallel to those found in ordinary Lie bialgebras, including the double construction and the existence of a 1-shifted $r$-matrix satisfying the classical Yang-Bax...
https://arxiv.org/abs/2503.08770v1
2503.08770
2025-03-11
natural-language-processing
1-Shot Oblivious Transfer and 2-Party Computation from Noisy Quantum Storage
Few primitives are as intertwined with the foundations of cryptography as Oblivious Transfer (OT). Not surprisingly, with the advent of the use of quantum resources in information processing, OT played a central role in establishing new possibilities (and defining impossibilities) pertaining to the use of these novel a...
https://arxiv.org/abs/2410.08367v1
2410.08367
2024-10-10
natural-language-processing
1-skeletons of the spanning tree problems with additional constraints
We consider the polyhedral properties of two spanning tree problems with additional constraints. In the first problem, it is required to find a tree with a minimum sum of edge weights among all spanning trees with the number of leaves less or equal a given value. In the second problem, an additional constraint is the a...
http://arxiv.org/abs/1710.09672v1
1710.09672
2017-10-26
natural-language-processing
1-smooth pro-p groups and Bloch-Kato pro-p groups
Let $p$ be a prime. A pro-$p$ group $G$ is said to be 1-smooth if it can be endowed with a homomorphism of pro-$p$ groups $G\to1+p\mathbb{Z}_p$ satisfying a formal version of Hilbert 90. By Kummer theory, maximal pro-$p$ Galois groups of fields containing a root of 1 of order $p$, together with the cyclotomic character...
https://arxiv.org/abs/1904.00667v7
1904.00667
2019-04-01
natural-language-processing
1SPU: 1-step Speech Processing Unit
Recent studies have made some progress in refining end-to-end (E2E) speech recognition encoders by applying Connectionist Temporal Classification (CTC) loss to enhance named entity recognition within transcriptions. However, these methods have been constrained by their exclusive use of the ASCII character set, allowing...
https://arxiv.org/abs/2311.04753v3
2311.04753
2023-11-08
natural-language-processing
$1$-stable fluctuation of the derivative martingale of branching random walk
In this paper, we study the functional convergence in law of the fluctuations of the derivative martingale of branching random walk on the real line. Our main result strengthens the results of Buraczewski et. al. [Ann. Probab., 2021] and is the branching random walk counterpart of the main result of Maillard and Pain [...
https://arxiv.org/abs/2311.16407v1
2311.16407
2023-11-28
natural-language-processing
1-stable fluctuations in branching Brownian motion at critical temperature II: general functionals
Let $\mu_t$ denote the critical derivative Gibbs measure of branching Brownian motion at time $t$. It has been proved by Madaule [Stochastic Process. Appl., 126(2):470--502, 2016] and Maillard and Zeitouni [Ann. Inst. Henri Poincar\'e Probab. Stat., 52(3):1144--1160, 2016] that $\mu_t$ converges weakly to the random me...
https://arxiv.org/abs/2103.10412v1
2103.10412
2021-03-18
natural-language-processing
1-stable fluctuations in branching Brownian motion at critical temperature I: the derivative martingale
Let $(Z_t)_{t\geq 0}$ denote the derivative martingale of branching Brownian motion, i.e.\@ the derivative with respect to the inverse temperature of the normalized partition function at critical temperature. A well-known result by Lalley and Sellke [\textit{Ann. Probab.}, 15(3):1052--1061, 1987] says that this marting...
http://arxiv.org/abs/1806.05152v2
1806.05152
2018-06-19
natural-language-processing
1st AfricaNLP Workshop Proceedings, 2020
Proceedings of the 1st AfricaNLP Workshop held on 26th April alongside ICLR 2020, Virtual Conference, Formerly Addis Ababa Ethiopia.
https://arxiv.org/abs/2011.10361v1
2011.10361
2020-11-20
natural-language-processing
1st eigenvalue pinching for convex hypersurfaces in a Riemannian manifold
Let $M^n$ be a closed convex hypersurface lying in a convex ball $B(p,R)$ of the ambient $(n+1)$-manifold $N^{n+1}$. We prove that, by pinching Heintze-Reilly's inequality via sectional curvature upper bound of $B(p,R)$, 1st eigenvalue and mean curvature of $M$, not only $M$ is Hausdorff close and almost isometric to a...
http://arxiv.org/abs/1905.05572v1
1905.05572
2019-05-14
natural-language-processing
1st ICLR International Workshop on Privacy, Accountability, Interpretability, Robustness, Reasoning on Structured Data (PAIR^2Struct)
Recent years have seen advances on principles and guidance relating to accountable and ethical use of artificial intelligence (AI) spring up around the globe. Specifically, Data Privacy, Accountability, Interpretability, Robustness, and Reasoning have been broadly recognized as fundamental principles of using machine l...
https://arxiv.org/abs/2210.03612v1
2210.03612
2022-10-07
natural-language-processing
1st-Order Dynamics on Nonlinear Agents for Resource Allocation over Uniformly-Connected Networks
A general nonlinear $1$st-order consensus-based solution for distributed constrained convex optimization is proposed with network resource allocation applications. The solution is used to optimize continuously-differentiable strictly convex cost functions over weakly-connected undirected networks, while it is anytime f...
https://arxiv.org/abs/2109.04822v2
2109.04822
2021-09-10
natural-language-processing
1st-Order Magic: Analysis of Sharpness-Aware Minimization
Sharpness-Aware Minimization (SAM) is an optimization technique designed to improve generalization by favoring flatter loss minima. To achieve this, SAM optimizes a modified objective that penalizes sharpness, using computationally efficient approximations. Interestingly, we find that more precise approximations of the...
https://arxiv.org/abs/2411.01714v1
2411.01714
2024-11-03
natural-language-processing
1st Place in ICCV 2023 Workshop Challenge Track 1 on Resource Efficient Deep Learning for Computer Vision: Budgeted Model Training Challenge
The budgeted model training challenge aims to train an efficient classification model under resource limitations. To tackle this task in ImageNet-100, we describe a simple yet effective resource-aware backbone search framework composed of profile and instantiation phases. In addition, we employ multi-resolution ensembl...
https://arxiv.org/abs/2311.11470v1
2311.11470
2023-08-09
natural-language-processing
1st Place Solution for 5th LSVOS Challenge: Referring Video Object Segmentation
The recent transformer-based models have dominated the Referring Video Object Segmentation (RVOS) task due to the superior performance. Most prior works adopt unified DETR framework to generate segmentation masks in query-to-instance manner. In this work, we integrate strengths of that leading RVOS models to build up a...
https://arxiv.org/abs/2401.00663v1
2401.00663
2024-01-01
natural-language-processing
1st place solution for AVA-Kinetics Crossover in AcitivityNet Challenge 2020
This technical report introduces our winning solution to the spatio-temporal action localization track, AVA-Kinetics Crossover, in ActivityNet Challenge 2020. Our entry is mainly based on Actor-Context-Actor Relation Network. We describe technical details for the new AVA-Kinetics dataset, together with some experimenta...
https://arxiv.org/abs/2006.09116v1
2006.09116
2020-06-16
natural-language-processing
1st Place Solution for CVPR2023 BURST Long Tail and Open World Challenges
Currently, Video Instance Segmentation (VIS) aims at segmenting and categorizing objects in videos from a closed set of training categories that contain only a few dozen of categories, lacking the ability to handle diverse objects in real-world videos. As TAO and BURST datasets release, we have the opportunity to resea...
https://arxiv.org/abs/2308.04598v1
2308.04598
2023-08-08
natural-language-processing
1st Place Solution for ECCV 2022 OOD-CV Challenge Image Classification Track
OOD-CV challenge is an out-of-distribution generalization task. In this challenge, our core solution can be summarized as that Noisy Label Learning Is A Strong Test-Time Domain Adaptation Optimizer. Briefly speaking, our main pipeline can be divided into two stages, a pre-training stage for domain generalization and a ...
https://arxiv.org/abs/2301.04795v1
2301.04795
2023-01-12
natural-language-processing
1st Place Solution for ECCV 2022 OOD-CV Challenge Object Detection Track
OOD-CV challenge is an out-of-distribution generalization task. To solve this problem in object detection track, we propose a simple yet effective Generalize-then-Adapt (G&A) framework, which is composed of a two-stage domain generalization part and a one-stage domain adaptation part. The domain generalization part is ...
https://arxiv.org/abs/2301.04796v1
2301.04796
2023-01-12
natural-language-processing
1st Place Solution for ICCV 2023 OmniObject3D Challenge: Sparse-View Reconstruction
In this report, we present the 1st place solution for ICCV 2023 OmniObject3D Challenge: Sparse-View Reconstruction. The challenge aims to evaluate approaches for novel view synthesis and surface reconstruction using only a few posed images of each object. We utilize Pixel-NeRF as the basic model, and apply depth superv...
https://arxiv.org/abs/2404.10441v1
2404.10441
2024-04-16
natural-language-processing
1st Place Solution for ICDAR 2021 Competition on Mathematical Formula Detection
In this technical report, we present our 1st place solution for the ICDAR 2021 competition on mathematical formula detection (MFD). The MFD task has three key challenges including a large scale span, large variation of the ratio between height and width, and rich character set and mathematical expressions. Considering ...
https://arxiv.org/abs/2107.05534v1
2107.05534
2021-07-12
natural-language-processing
1st Place Solution for MeViS Track in CVPR 2024 PVUW Workshop: Motion Expression guided Video Segmentation
Motion Expression guided Video Segmentation (MeViS), as an emerging task, poses many new challenges to the field of referring video object segmentation (RVOS). In this technical report, we investigated and validated the effectiveness of static-dominant data and frame sampling on this challenging setting. Our solution a...
https://arxiv.org/abs/2406.07043v1
2406.07043
2024-06-11
natural-language-processing