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27-day variation of the GCR intensity based on corrected and uncorrected for geomagnetic disturbances data of neutron monitors
We study 27-day variations of the galactic cosmic ray (GCR) intensity for 2005- 2008 period of the solar cycle #23. We use neutron monitors (NMs) data corrected and uncorrected for geomagnetic disturbances. Besides the limited time intervals when the 27-day variations are clearly established, always exist some feeble 2...
http://arxiv.org/abs/1509.05738v1
1509.05738
2015-09-18
cybersecurity
27-day Variation of the Three Dimensional Solar Anisotropy of Galactic Cosmic Ray: 1965-2014
The temporal evaluation of the 27-day variation of the three dimensional (3D) galactic cosmic ray (GCR) anisotropy has been studied for 1965-2014. 3D anisotropy vector was obtained based on the neutron monitors and Nagoya muon telescopes data. We analyze the 27-day variation of the (1) two dimensional (2D) GCR anisotro...
http://arxiv.org/abs/1509.05770v1
1509.05770
2015-09-18
cybersecurity
2.7-octave supercontinuum generation spanning from ultraviolet to near-infrared in thin-film lithium niobate waveguides
Supercontinuum generation (SCG) with spectral coverage across the full visible and ultraviolet (UV) ranges is crucial for optical clocks, quantum computing and sensing. However, achieving such SCG in nanophotonic platforms is challenging due to the difficulties in spectrum broadening. Here, Such ultrabroad-bandwidth SC...
https://arxiv.org/abs/2505.12438v1
2505.12438
2025-05-18
cybersecurity
27 Open Problems in Kolmogorov Complexity
The paper proposes open problems in classical Kolmogorov complexity. Each problem is presented with background information and thus the article also surveys some recent studies in the area.
https://arxiv.org/abs/2203.15109v1
2203.15109
2022-03-28
cybersecurity
$27 \otimes 27$
We study the decomposition into $SU(N)$ irreducible representations (irreps) of the tensor product $27 \otimes 27$, where $27$ is the highest-dimensional $SU(N)$ irrep present in a two-gluon system, and explicitly construct all Hermitian projectors on these irreps, as well as transition operators between them. This yie...
https://arxiv.org/abs/2504.11362v1
2504.11362
2025-04-15
cybersecurity
$^{27}\text{Al }$ NMR chemical shift of $\text{Al}(\text{OH})_{4}^{-}$ from first principles. Assessment of error cancellation in NMR chemical shift computations in chemically distinct reference and targeted systems
Predicting accurate NMR chemical shieldings relies upon cancellation of different types of error in the ab initio methodology used to calculate the shielding tensor of the analyte of interest and the reference. Often the intrinsic error in computed shieldings due to basis sets, approximations in the Hamiltonian, descri...
http://arxiv.org/abs/2001.00107v1
2001.00107
2019-12-31
cybersecurity
280 Birds with One Stone: Inducing Multilingual Taxonomies from Wikipedia using Character-level Classification
We propose a simple, yet effective, approach towards inducing multilingual taxonomies from Wikipedia. Given an English taxonomy, our approach leverages the interlanguage links of Wikipedia followed by character-level classifiers to induce high-precision, high-coverage taxonomies in other languages. Through experiments,...
http://arxiv.org/abs/1704.07624v2
1704.07624
2017-04-25
cybersecurity
280 GHz Focal Plane Unit Design and Characterization for the SPIDER-2 Suborbital Polarimeter
We describe the construction and characterization of the 280 GHz bolometric focal plane units (FPUs) to be deployed on the second flight of the balloon-borne SPIDER instrument. These FPUs are vital to SPIDER's primary science goal of detecting or placing an upper limit on the amplitude of the primordial gravitational w...
http://arxiv.org/abs/1711.04169v2
1711.04169
2017-11-22
cybersecurity
2, 84, 30, 993, 560, 15456, 11962, 261485, ...: Higher dimension operators in the SM EFT
In a companion paper, we show that operator bases for general effective field theories are controlled by the conformal algebra. Equations of motion and integration by parts identities can be systematically treated by organizing operators into irreducible representations of the conformal group. In the present work, we u...
http://arxiv.org/abs/1512.03433v2
1512.03433
2019-08-23
cybersecurity
$^{28}$Al Half-life Measurement and the negative mirror asymmetry between the $^{28}$Al($β^-$)$^{28m}$Si and $^{28}$P($β^+$)$^{28m}$Si decays
In the past, the mirror asymmetry parameter has been proposed as a probing mechanism for the presence of beyond the Standard Model second-class currents in nuclear beta decay transitions. However, this was hindered by large uncertainties in the required nuclear structure correction terms. Recently, a new calculation of...
https://arxiv.org/abs/2505.01722v1
2505.01722
2025-05-03
cybersecurity
28 GHz Indoor and Outdoor Propagation Analysis at a Regional Airport
In the upcoming 5G communication, the millimeter-wave (mmWave) technology will play an important role due to its large bandwidth and high data rate. However, mmWave frequencies have higher free-space path loss (FSPL) in line-of-sight (LOS) propagation compared to the currently used sub-6 GHz frequencies. What is more, ...
https://arxiv.org/abs/2101.02599v1
2101.02599
2021-01-07
cybersecurity
28 GHz Millimeter-Wave Ultrawideband Small-Scale Fading Models in Wireless Channels
This paper presents small-scale fading measurements for 28 GHz outdoor millimeter-wave ultrawideband channels using directional horn antennas at the transmitter and receiver. Power delay profiles were measured at half-wavelength spatial increments over a local area (33 wavelengths) on a linear track in two orthogonal r...
http://arxiv.org/abs/1511.06938v2
1511.06938
2016-02-22
cybersecurity
28 GHz mmWave Channel Measurements and Modeling in a Library Environment
To fully exploit the millimeter-wave bands for the fifth generation cellular systems, an accurate understanding of the channel propagation characteristics is required, and hence extensive measurement campaigns in different environments are needed. In this paper, we use a rotated directional antenna-based channel sounde...
http://arxiv.org/abs/1910.08632v1
1910.08632
2019-10-18
cybersecurity
28 GHz NLOS Channel Measurements Revealing Low Path Loss and High Angular Spread in Container Ports
This paper presents results from a comprehensive measurement campaign conducted at 28 GHz inside a container canyon within a commercial port environment. The measurements are performed at various points inside the container canyon, considering two types of container stacking and two different Transmitter (TX) locations...
https://arxiv.org/abs/2309.02810v1
2309.02810
2023-09-06
cybersecurity
28 GHz Phased Array-Based Self-Interference Measurements for Millimeter Wave Full-Duplex
We present measurements of the 28 GHz self-interference channel for full-duplex sectorized multi-panel millimeter wave (mmWave) systems, such as integrated access and backhaul. We measure the isolation between the input of a transmitting phased array panel and the output of a co-located receiving phased array panel, ea...
https://arxiv.org/abs/2203.02809v1
2203.02809
2022-03-05
cybersecurity
28nm Fully-Depleted SOI Technology: Cryogenic Control Electronics for Quantum Computing
This paper reports the first cryogenic characterization of 28nm Fully-Depleted-SOI CMOS technology. A comprehensive study of digital/analog performances and body-biasing from room to the liquid helium temperature is presented. Despite a cryogenic operation, effectiveness of body-biasing remains unchanged and provides a...
http://arxiv.org/abs/2002.07070v1
2002.07070
2019-12-20
cybersecurity
28 THz soliton frequency comb in a continuous-wave pumped fiber Fabry-Perot resonator
We report the generation of an optical frequency comb featuring 28 THz bandwidth, sustained by a single 80 fs cavity soliton recirculating in a fiber Fabry-Perot resonator. This large spectrum is comparable to frequency combs obtained with microresonators operating in the anomalous dispersion regime. Thanks to the comp...
https://arxiv.org/abs/2401.12858v1
2401.12858
2024-01-23
cybersecurity
2900 square degree search for the optical counterpart of short gamma-ray burst GRB 180523B with the Zwicky Transient Facility
There is significant interest in the models for production of short gamma-ray bursts. Until now, the number of known short gamma-ray bursts with multi-wavelength afterglows has been small. While the {\it Fermi} Gamma-Ray Burst Monitor detects many gamma-ray bursts relative to the Neil Gehrels {\it Swift} Observatory, t...
http://arxiv.org/abs/1901.11385v1
1901.11385
2019-01-31
cybersecurity
29P/Schwassmann-Wachmann 1, A Centaur in the Gateway to the Jupiter-Family Comets
Jupiter-family comets (JFCs) are the evolutionary products of trans-Neptunian objects (TNOs) that evolve through the giant planet region as Centaurs and into the inner solar system. Through numerical orbital evolution calculations following a large number of TNO test particles that enter the Centaur population, we have...
http://arxiv.org/abs/1908.04185v2
1908.04185
2019-09-12
cybersecurity
29P/Schwassmann-Wachmann: A Rosetta Stone for Amorphous Water Ice and CO <-> CO2 Conversion in Centaurs and Comets?
Centaur 29P/Schwassmann-Wachmann 1 (SW1) is a highly active object orbiting in the transitional Gateway region (Sarid et al. 2019) between the Centaur and Jupiter Family Comet regions. SW1 is unique among the Centaurs in that it experiences quasi-regular major outbursts and produces CO emission continuously; however, t...
https://arxiv.org/abs/2209.09136v2
2209.09136
2022-09-19
cybersecurity
2ACT: AI-Accentuated Career Transitions via Skill Bridges
This study introduces the AI-Accentuated Career Transitions framework, advancing beyond binary automation narratives to examine how distinct AI usage patterns reshape occupational mobility. Analyzing 545 occupations through multivariate modeling, we identify six qualitatively distinct human-AI usage patterns that diffe...
https://arxiv.org/abs/2505.07914v1
2505.07914
2025-05-12
cybersecurity
2-adic Galois images of non-CM isogeny-torsion graphs
Let $\mathcal{E}$ be a $\mathbb{Q}$-isogeny class of elliptic curves defined over $\mathbb{Q}$ without CM. The isogeny graph associated to $\mathcal{E}$ is a graph which has a vertex for each elliptic curve in $\mathcal{E}$ and an edge for each $\mathbb{Q}$-isogeny of prime degree that maps one elliptic curve in $\math...
https://arxiv.org/abs/2302.06094v2
2302.06094
2023-02-13
cybersecurity
2-adic images of CM isogeny-torsion graphs
Let $\mathcal{E}$ be a $\mathbb{Q}$-isogeny class of elliptic curves defined over $\mathbb{Q}$. The isogeny graph associated to $\mathcal{E}$ is a graph which has a vertex for each element of $\mathcal{E}$ and an edge for each $\mathbb{Q}$-isogeny of prime degree that maps one elliptic curve in $\mathcal{E}$ to another...
https://arxiv.org/abs/2208.11649v2
2208.11649
2022-08-24
cybersecurity
$2$-adic integral models of some Shimura varieties with parahoric level structure
We construct integral models over $p=2$ for some Shimura varieties of abelian type with parahoric level structure, extending the previous work of Kim-Madapusi, Kisin, Pappas, and Zhou. For Shimura varieties of Hodge type, we show that our integral models are canonical in the sense of Pappas-Rapoport.
https://arxiv.org/abs/2301.12981v2
2301.12981
2023-01-25
cybersecurity
2-adic point counting on $K3$ surfaces
This article reports on an approach to point counting on algebraic varieties over finite fields that is based on a detailed investigation of the $2$-adic orthogonal group. Combining the new approach with a $p$-adic method, we count the number of points on some $K3$ surfaces over the field $\bbF_{\!p}$, for all primes $...
https://arxiv.org/abs/2202.10853v2
2202.10853
2022-02-22
cybersecurity
2-Adic quantum mechanics, continuous-time quantum walks, and the space discreteness
Using techniques of p-adic analysis, it is possible to formulate a rigorous version of the quantum mechanics (QM), in the sense of Dirac-von Neumann, consistent with the existence of the Planck length. Such a model cannot be formulated if we use R^{3} as a model for physical space. The experimental testability of physi...
https://arxiv.org/abs/2502.16416v1
2502.16416
2025-02-23
cybersecurity
$2$-adic slopes of Hilbert modular forms over $\mathbb{Q}(\sqrt{5})$
We show that for arithmetic weights with a fixed finite order character, the slopes of $U_p$ (for $p=2$) acting on overconvergent Hilbert modular forms of level $U_0(4)$ are independent of the (algebraic part of the) weight and can be obtained by a simple recipe from the classical slopes in parallel weight $3$.
http://arxiv.org/abs/1811.04799v3
1811.04799
2020-05-10
cybersecurity
2-Adic Stratification of Totients
In this paper we study the multiplicities and the asymptotic behaviour of the numbers of totients in the strata given by 2-adic valuation.
http://arxiv.org/abs/2005.05475v1
2005.05475
2020-05-11
cybersecurity
2-adic Valuations of Quadratic Sequences
Properties of 2-adic valuation sequences for general quadratic polynomials with integer coefficients are determined directly from the coefficients. These properties include boundedness or unboundedness, periodicity, and valuations at terminating nodes. We completely describe the periodic sequences in the bounded case. ...
https://arxiv.org/abs/2012.10332v4
2012.10332
2020-12-18
cybersecurity
2-adjoint equivalences in homotopy type theory
We introduce the notion of (half) 2-adjoint equivalences in Homotopy Type Theory and prove their expected properties. We formalized these results in the Lean Theorem Prover.
https://arxiv.org/abs/2008.12433v4
2008.12433
2020-08-28
cybersecurity
2AFC Prompting of Large Multimodal Models for Image Quality Assessment
While abundant research has been conducted on improving high-level visual understanding and reasoning capabilities of large multimodal models~(LMMs), their visual quality assessment~(IQA) ability has been relatively under-explored. Here we take initial steps towards this goal by employing the two-alternative forced cho...
https://arxiv.org/abs/2402.01162v1
2402.01162
2024-02-02
cybersecurity
$2^{\aleph_0}$ pairwise non-isomorphic maximal-closed subgroups of Sym$(\mathbb{N})$ via the classification of the reducts of the Henson digraphs
Given two structures $\mathcal{M}$ and $\mathcal{N}$ on the same domain, we say that $\mathcal{N}$ is a reduct of $\mathcal{M}$ if all $\emptyset$-definable relations of $\mathcal{N}$ are $\emptyset$-definable in $\mathcal{M}$. In this article the reducts of the Henson digraphs are classified. Henson digraphs are homog...
http://arxiv.org/abs/1509.07674v1
1509.07674
2015-09-25
cybersecurity
2$\alpha$+$t$ cluster structure in $^{11}$B
The 2$\alpha+t$ cluster structure in $^{11}$B is investigated by the microscopic generator coordinate method (GCM) with the Brink cluster wave functions. With a proper choice of the parameters of the effective interaction, the calculated energy spectrum shows reasonable agreement with the observed low-lying spectra of ...
http://arxiv.org/abs/1711.04439v1
1711.04439
2017-11-13
cybersecurity
2- and 3-Covariant Equiangular Tight Frames
Equiangular tight frames (ETFs) are configurations of vectors which are optimally geometrically spread apart and provide resolutions of the identity. Many known constructions of ETFs are group covariant, meaning they result from the action of a group on a vector, like all known constructions of symmetric, informational...
http://arxiv.org/abs/1901.10612v2
1901.10612
2019-05-21
cybersecurity
2 and 9 are the only biunitary superperfect numbers
We shall show that 2 and 9 are the only biunitary superperfect numbers.
http://arxiv.org/abs/1705.00189v1
1705.00189
2017-04-29
cybersecurity
2-Approximation for Prize-Collecting Steiner Forest
Approximation algorithms for the prize-collecting Steiner forest problem (PCSF) have been a subject of research for over three decades, starting with the seminal works of Agrawal, Klein, and Ravi and Goemans and Williamson on Steiner forest and prize-collecting problems. In this paper, we propose and analyze a natural ...
https://arxiv.org/abs/2309.05172v2
2309.05172
2023-09-11
cybersecurity
2-Arc-transitive Cayley graphs on alternating groups
An interesting fact is that most of the known connected $2$-arc-transitive nonnormal Cayley graphs of small valency on finite simple groups are $(\mathrm{A}_{n+1},2)$-arc-transitive Cayley graphs on $\mathrm{A}_n$. This motivates the study of $2$-arc-transitive Cayley graphs on $\mathrm{A}_n$ for arbitrary valency. In ...
https://arxiv.org/abs/2103.14784v1
2103.14784
2021-03-27
cybersecurity
2-associahedra
For any $r\geq 1$ and $\mathbf{n} \in \mathbb{Z}_{\geq0}^r \setminus \{\mathbf0\}$ we construct a poset $W_{\mathbf{n}}$ called a 2-associahedron. The 2-associahedra arose in symplectic geometry, where they are expected to control maps between Fukaya categories of different symplectic manifolds. We prove that the compl...
http://arxiv.org/abs/1709.00119v2
1709.00119
2018-08-22
cybersecurity
$(2B, 3A, 5A)$-subalgebras of the Griess algebra with alternating Miyamoto group
We use Majorana representations to study the subalgebras of the Griess algebra that have shape $(2B,3A,5A)$ and whose associated Miyamoto groups are isomorphic to $A_n$. We prove that these subalgebras exist only if $n\in \{5,6,8\}$. The case $n=5$ was already treated by Ivanov, Seress, McInroy, and Shpectorov. In case...
https://arxiv.org/abs/2504.17446v1
2504.17446
2025-04-24
cybersecurity
2^B3^C: 2 Box 3 Crop of Facial Image for Gender Classification with Convolutional Networks
In this paper, we tackle the classification of gender in facial images with deep learning. Our convolutional neural networks (CNN) use the VGG-16 architecture [1] and are pretrained on ImageNet for image classification. Our proposed method (2^B3^C) first detects the face in the facial image, increases the margin of a d...
http://arxiv.org/abs/1803.02181v1
1803.02181
2018-03-05
cybersecurity
2-balanced sequences coding rectangle exchange transformation
We define a new class of ternary sequences that are 2-balanced. These sequences are obtained by colouring of Sturmian sequences. We show that the class contains sequences of any given letter frequencies. We provide an upper bound on factor and abelian complexity of these sequences. Using the interpretation by rectangle...
https://arxiv.org/abs/2403.12791v1
2403.12791
2024-03-19
cybersecurity
2-bit Conformer quantization for automatic speech recognition
Large speech models are rapidly gaining traction in research community. As a result, model compression has become an important topic, so that these models can fit in memory and be served with reduced cost. Practical approaches for compressing automatic speech recognition (ASR) model use int8 or int4 weight quantization...
https://arxiv.org/abs/2305.16619v1
2305.16619
2023-05-26
cybersecurity
2-bit Model Compression of Deep Convolutional Neural Network on ASIC Engine for Image Retrieval
Image retrieval utilizes image descriptors to retrieve the most similar images to a given query image. Convolutional neural network (CNN) is becoming the dominant approach to extract image descriptors for image retrieval. For low-power hardware implementation of image retrieval, the drawback of CNN-based feature descri...
https://arxiv.org/abs/1905.03362v1
1905.03362
2019-05-08
cybersecurity
2-Bit Random Projections, NonLinear Estimators, and Approximate Near Neighbor Search
The method of random projections has become a standard tool for machine learning, data mining, and search with massive data at Web scale. The effective use of random projections requires efficient coding schemes for quantizing (real-valued) projected data into integers. In this paper, we focus on a simple 2-bit coding ...
http://arxiv.org/abs/1602.06577v1
1602.06577
2016-02-21
cybersecurity
2-bit topological-encoded acoustic multifunctional device
Valley degree of freedom, an excellent information carrier in valleytronics, has been further introduced into advanced microstructure systems for achieving the acoustic valley-Hall topological insulators (VHTIs), which host valley-projected edge states suppressing the undesired sound backscattering under certain pertur...
https://arxiv.org/abs/2104.10607v3
2104.10607
2021-04-21
cybersecurity
2BiVQA: Double Bi-LSTM based Video Quality Assessment of UGC Videos
Recently, with the growing popularity of mobile devices as well as video sharing platforms (e.g., YouTube, Facebook, TikTok, and Twitch), User-Generated Content (UGC) videos have become increasingly common and now account for a large portion of multimedia traffic on the internet. Unlike professionally generated videos ...
https://arxiv.org/abs/2208.14774v3
2208.14774
2022-08-31
cybersecurity
$2$-blocks in strongly biconnected directed graphs
A directed graph $G=(V,E)$ is called strongly biconnected if $G$ is strongly connected and the underlying graph of $G$ is biconnected. A strongly biconnected component of a strongly connected graph $G=(V,E)$ is a maximal vertex subset $L\subseteq V$ such that the induced subgraph on $L$ is strongly biconnected. Let $G=...
http://arxiv.org/abs/2007.09793v1
2007.09793
2020-07-19
cybersecurity
2-blocks with an abelian defect group and a freely acting cyclic inertial quotient
We study blocks with an abelian defect group and a cyclic inertial quotient acting freely but not transitively. We prove that when p=2, such blocks are inertial, i.e. basic Morita equivalent to their Brauer correspondent. Together with a result of the second author on Singer cycle actions on homocyclic defect groups, t...
http://arxiv.org/abs/2010.08329v2
2010.08329
2020-10-19
cybersecurity
2B or not 2B, a study of bottom-quark-philic semi-visible jets
Semi-visible jets arise in strongly interacting dark sector, resulting in jets overlapping with the missing transverse momentum direction. The implementation of semi-visible jets is done using the Pythia Hidden Valley module to mimic the QCD sector showering in so-called dark shower. In this work, only heavy flavour St...
https://arxiv.org/abs/2207.01885v4
2207.01885
2022-07-05
cybersecurity
2$b$ or not 2$b$: on the rejection of $g\to b\bar b$ jets
Motivated by new physics models which lead to final states containing a high multiplicity of bottom and top quarks, we develop a tagging strategy to suppress reducible and non-reducible multi-jet backgrounds. The idea takes advantage of the properties of light parton showers and of the gluon fragmentation into heavy qu...
https://arxiv.org/abs/2310.04380v2
2310.04380
2023-10-06
cybersecurity
2BP: 2-Stage Backpropagation
As Deep Neural Networks (DNNs) grow in size and complexity, they often exceed the memory capacity of a single accelerator, necessitating the sharding of model parameters across multiple accelerators. Pipeline parallelism is a commonly used sharding strategy for training large DNNs. However, current implementations of p...
https://arxiv.org/abs/2405.18047v1
2405.18047
2024-05-28
cybersecurity
2-branes with Arnold-Beltrami Fluxes from Minimal D=7 Supergravity
We describe this paper as a Sentimental Journey from Hydrodynamics to Supergravity. Beltrami equation in three dimensions that plays a key role in the hydrodynamics of incompressible fluids has an unsuspected relation with minimal supergravity in seven dimensions. We show that just D=7 supergravity and no other theory ...
http://arxiv.org/abs/1504.06802v1
1504.06802
2015-04-26
cybersecurity
2by2: Weakly-Supervised Learning for Global Action Segmentation
This paper presents a simple yet effective approach for the poorly investigated task of global action segmentation, aiming at grouping frames capturing the same action across videos of different activities. Unlike the case of videos depicting all the same activity, the temporal order of actions is not roughly shared am...
https://arxiv.org/abs/2412.12829v1
2412.12829
2024-12-17
cybersecurity
2-Calabi-Yau categories with a directed cluster-tilting subcategory
As a generalization of acyclic 2-Calabi-Yau categories, we consider 2-Calabi-Yau categories with a directed cluster-tilting subcategory; we study their cluster-tilting subcategories and the cluster combinatorics that they encode. We show that such categories have a cluster structure. Triangulated 2-Calabi-Yau categor...
http://arxiv.org/abs/1611.03836v1
1611.03836
2016-11-11
cybersecurity
2-Cartesian fibrations I: A model for $\infty$-bicategories fibred in $\infty$-bicategories
In this paper, we provide a notion of $\infty$-bicategories fibred in $\infty$-bicategories which we call 2-Cartesian fibrations. Our definition is formulated using the language of marked biscaled simplicial sets: Those are scaled simplicial sets equipped with an additional collection of triangles containing the scaled...
https://arxiv.org/abs/2106.03606v1
2106.03606
2021-06-07
cybersecurity
2-Cartesian fibrations II: A Grothendieck construction for $\infty$-bicategories
In this work, we conclude our study of fibred $\infty$-bicategories by providing a Grothendieck construction in this setting. Given a scaled simplicial set $S$ (which need not be fibrant) we construct a 2-categorical version of Lurie's straightening-unstraightening adjunction, thereby furnishing an equivalence between ...
https://arxiv.org/abs/2201.09589v3
2201.09589
2022-01-24
cybersecurity
2-categorical affine symmetries of quantum enveloping algebras
We produce 2-representations of the positive part of affine quantum enveloping algebras on their finite-dimensional counterparts in type $A_n$. These 2-representations naturally extend the right-multiplication 2-representation of $U_q^+(\mathfrak{sl}_{n+1})$ on itself and are closely related to evaluation morphisms of ...
https://arxiv.org/abs/2502.08039v2
2502.08039
2025-02-12
cybersecurity
2-categorical approach to unifying constructions of precoverings and its applications
Throughout this paper $G$ is a fixed group, and $k$ is a fixed field. All categories are assumed to be $k$-linear. First we give a systematic way to induce $G$-precoverings by adjoint functors using a 2-categorical machinery, which unifies many similar constructions of $G$-precoverings. Now let $\mathcal{C}$ be a skele...
https://arxiv.org/abs/2402.04680v1
2402.04680
2024-02-07
cybersecurity
2-categorical opfibrations, Quillen's Theorem B, and $S^{-1}S$
In this paper we show that the strict and lax pullbacks of a 2-categorical opfibration along an arbitrary 2-functor are homotopy equivalent. We give two applications. First, we show that the strict fibers of an opfibration model the homotopy fibers. This is a version of Quillen's Theorem B amenable to applications. Sec...
https://arxiv.org/abs/2010.11173v2
2010.11173
2020-10-21
cybersecurity
2-categories and cyclic homology
The topic of this thesis is the application of distributive laws between comonads to the theory of cyclic homology. Explicitly, our main aims are: 1) To study how the cyclic homology of associative algebras and of Hopf algebras in the original sense of Connes and Moscovici arises from a distributive law, and to clarify...
http://arxiv.org/abs/1605.08992v1
1605.08992
2016-05-29
cybersecurity
$2$-Categories from a Gray Perspective
In this paper we present $2$-category theory from the perspective of Gray-categories using the graphical calculus of separated surface diagrams. As an extended example we consider cones and limits of $2$-functors. Then we use the canonical adjunction between $2$-computads and $2$-categories to interpret the comparison ...
https://arxiv.org/abs/2203.08783v1
2203.08783
2022-03-16
cybersecurity
2-categories of symmetric bimodules and their 2-representations
In this article we analyze the structure of $2$-categories of symmetric projective bimodules over a finite dimensional algebra with respect to the action of a finite abelian group. We determine under which condition the resulting $2$-category is fiat (in the sense of \cite{MM1}) and classify simple transitive $2$-repre...
http://arxiv.org/abs/1904.05798v1
1904.05798
2019-04-11
cybersecurity
2 Category of FRBSU Monoidal Categories and Crossed Modules
In that paper, we prove that the collection of all FRBSU monoidal categories and the collection of all crossed modules form a 2 category.
http://arxiv.org/abs/1512.06981v1
1512.06981
2015-12-22
cybersecurity
2-Category of Topological Quantum Computation
Unitary Ribbon Fusion Categories (URFC) formalize anyonic theories. It has been widely assumed that the same category formalizes a topological quantum computing model. However, in previous work, we addressed and resolved this confusion and demonstrated while the former could be any fusion category, the latter is always...
https://arxiv.org/abs/2505.22171v1
2505.22171
2025-05-28
cybersecurity
2-Cats: 2D Copula Approximating Transforms
Copulas are powerful statistical tools for capturing dependencies across data dimensions. Applying Copulas involves estimating independent marginals, a straightforward task, followed by the much more challenging task of determining a single copulating function, $C$, that links these marginals. For bivariate data, a cop...
https://arxiv.org/abs/2309.16391v5
2309.16391
2023-09-28
cybersecurity
$2\cdot 10^{-13}$ fractional laser frequency stability with a 7-cm unequal-arm Mach-Zehnder interferometer
To achieve sub-picometer sensitivities in the millihertz band, laser interferometric inertial sensors rely on some form of reduction of the laser frequency noise, typically by locking the laser to a stable frequency reference, such as the narrow-linewidth resonance of an ultra-stable optical cavity or an atomic or mole...
https://arxiv.org/abs/2308.11325v2
2308.11325
2023-08-22
cybersecurity
2CET-GAN: Pixel-Level GAN Model for Human Facial Expression Transfer
Recent studies have used GAN to transfer expressions between human faces. However, existing models have many flaws: relying on emotion labels, lacking continuous expressions, and failing to capture the expression details. To address these limitations, we propose a novel CycleGAN- and InfoGAN-based network called 2 Cycl...
https://arxiv.org/abs/2211.11570v1
2211.11570
2022-11-18
cybersecurity
2-chains: an interesting family of posets
We introduce a new family of finite posets which we call 2-chains. These first arose in the study of 0-Hecke algebras, but they admit a variety of different characterisations. We give these characterisations, prove that they are equivalent and derive some numerical results concerning 2-chains.
http://arxiv.org/abs/1809.07574v2
1809.07574
2020-01-29
cybersecurity
2-charge circular fuzz-balls and their perturbations
We perform a detailed study of perturbations around 2-charge circular fuzz-balls and compare the results with the ones obtained in the case of 'small' BHs. In addition to the photon-sphere modes that govern the prompt ring-down, we find a new branch of long-lived QNMs localised inside the photon-sphere at the (meta)sta...
https://arxiv.org/abs/2212.07504v1
2212.07504
2022-12-14
cybersecurity
$2$-class groups of cyclotomic towers of imaginary biquadratic fields and applications
Let $d$ be a positive square-free integer. In this paper we shall investigate the structure of the $2$-class group of the cyclotomic $\mathbb{Z}_2$-extension of the imaginary biquadratic number field $\mathbb{Q}(\sqrt{d},\sqrt{-1})$. Furthermore, we deduce the structure of the $2$-class group of cyclotomic $\mathbb{Z}_...
http://arxiv.org/abs/2002.03602v3
2002.03602
2020-06-15
cybersecurity
2-classifiers via dense generators and Hofmann-Streicher universe in stacks
We expand the theory of 2-classifiers, that are a 2-categorical generalization of subobject classifiers introduced by Weber. The idea is to upgrade monomorphisms to discrete opfibrations. We prove that the conditions of 2-classifier can be checked just on a dense generator. The study of what is classified by a 2-classi...
https://arxiv.org/abs/2401.16900v3
2401.16900
2024-01-30
cybersecurity
2-CLUB is NP-hard for distance to 2-club cluster graphs
We show that 2-CLUB is NP-hard for distance to 2-club cluster graphs.
http://arxiv.org/abs/1903.05425v1
1903.05425
2019-03-13
cybersecurity
2-Cluster Fixed-Point Analysis of Mean-Coupled Stuart-Landau Oscillators in the Center Manifold
We reduce the dynamics of an ensemble of mean-coupled Stuart-Landau oscillators close to the synchronized solution. In particular, we map the system onto the center manifold of the Benjamin-Feir instability, the bifurcation destabilizing the synchronized oscillation. Using symmetry arguments, we describe the structure ...
https://arxiv.org/abs/2010.06221v2
2010.06221
2020-10-13
cybersecurity
2CoBel : An Efficient Belief Function Extension for Two-dimensional Continuous Spaces
This paper introduces an innovative approach for handling 2D compound hypotheses within the Belief Function Theory framework. We propose a polygon-based generic rep- resentation which relies on polygon clipping operators. This approach allows us to account in the computational cost for the precision of the representati...
http://arxiv.org/abs/1803.08857v1
1803.08857
2018-03-23
cybersecurity
2-coherent and 2-convex Conditional Lower Previsions
In this paper we explore relaxations of (Williams) coherent and convex conditional previsions that form the families of $n$-coherent and $n$-convex conditional previsions, at the varying of $n$. We investigate which such previsions are the most general one may reasonably consider, suggesting (centered) $2$-convex or, i...
http://arxiv.org/abs/1606.06043v1
1606.06043
2016-06-20
cybersecurity
2-Coherent Internal Models of Homotopical Type Theory
The program of internal type theory seeks to develop the categorical model theory of dependent type theory using the language of dependent type theory itself. In the present work we study internal homotopical type theory by relaxing the notion of a category with families (cwf) to that of a wild, or precoherent higher c...
https://arxiv.org/abs/2503.05790v1
2503.05790
2025-02-28
cybersecurity
2-Co-lacunary sequences in noncommutative symmetric Banach spaces
We characterize noncommutative symmetric Banach spaces for which every bounded sequence admits either a convergent subsequence, or a $2$-co-lacunary subsequence. This extends the classical characterization, due to R\"abiger.
http://arxiv.org/abs/1909.04258v1
1909.04258
2019-09-10
cybersecurity
2-Colorable Perfect Matching is NP-complete in 2-Connected 3-Regular Planar Graphs
The 2-colorable perfect matching problem asks whether a graph can be colored with two colors so that each node has exactly one neighbor with the same color as itself. We prove that this problem is NP-complete, even when restricted to 2-connected 3-regular planar graphs. In 1978, Schaefer proved that this problem is NP-...
https://arxiv.org/abs/2309.09786v1
2309.09786
2023-09-18
cybersecurity
2-colored Rogers-Ramanujan partition identities
In this paper, we combined two types of partitions and introduced 2-colored Rogers-Ramanujan partitions. By finding some functional equations and using a constructive method, some identities have been found. Some Overpartition identities coincide with our findings. A correspondence between colored partitions and overpa...
https://arxiv.org/abs/2203.15378v1
2203.15378
2022-03-29
cybersecurity
2-complexes with large 2-girth
The 2-girth of a 2-dimensional simplicial complex $X$ is the minimum size of a non-zero 2-cycle in $H_2(X, \mathbb{Z}/2)$. We consider the maximum possible girth of a complex with $n$ vertices and $m$ 2-faces. If $m = n^{2 + \alpha}$ for $\alpha < 1/2$, then we show that the 2-girth is at most $4 n^{2 - 2 \alpha}$ and ...
http://arxiv.org/abs/1509.03871v2
1509.03871
2017-07-10
cybersecurity
$2$-complexes with unique embeddings in 3-space
A well-known theorem of Whitney states that a 3-connected planar graph admits an essentially unique embedding into the 2-sphere. We prove a 3-dimensional analogue: a simply-connected $2$-complex every link graph of which is 3-connected admits an essentially unique locally flat embedding into the 3-sphere, if it admits ...
https://arxiv.org/abs/2109.04085v1
2109.04085
2021-09-09
cybersecurity
2-complex symmetric composition operators on $H^2$
In this paper, we study 2-complex symmetric composition operators with the conjugation $J$ on the Hardy space $H^2$. More precisely, we obtain the necessary and sufficient condition for the composition operator $C_\phi$ to be 2-complex symmetric when the symbols $\phi$ is an automorphism of $\mathbb D$. We also charact...
https://arxiv.org/abs/2110.11184v1
2110.11184
2021-10-21
cybersecurity
2-connected claw-free chordal graphs are cycle extendable
A cycle $C$ of length $k$ in graph $G$ is extendable if there is another cycle $C'$ in $G$ with $V(C) \subset V(C')$ and length $k+1$. A graph is cycle extendable if every non-Hamiltonian cycle is extendable. In 1990 Hendry conjectured that any Hamiltonian chordal graph (a Hamiltonian graph with no induced cycle of len...
http://arxiv.org/abs/1310.2901v4
1310.2901
2016-02-28
cybersecurity
2-Coupon Coloring of Cubic Graphs Containing 3-Cycle or 4-Cycle
Let $G$ be a graph. A total dominating set in a graph $G$ is a set $S$ of vertices of $G$ such that every vertex in $G$ is adjacent to a vertex in $S$. Recently, the following question was proposed: "Is it true that every connected cubic graph containing a $3$-cycle has two vertex disjoint total dominating sets?" In th...
https://arxiv.org/abs/2308.15114v1
2308.15114
2023-08-29
cybersecurity
2-covers of wide Young diagrams
A Young diagram $Y$ is called wide if every sub-diagram $Z$ formed by a subset of the rows of $Y$ dominates $Z'$, the conjugate of $Z$. A Young diagram $Y$ is called Latin if its squares can be assigned numbers so that for each $i$, the $i$th row is filled injectively with the numbers $1, \ldots ,a_i$, where $a_i$ is t...
https://arxiv.org/abs/2311.17670v2
2311.17670
2023-11-29
cybersecurity
2CP: Decentralized Protocols to Transparently Evaluate Contributivity in Blockchain Federated Learning Environments
Federated Learning harnesses data from multiple sources to build a single model. While the initial model might belong solely to the actor bringing it to the network for training, determining the ownership of the trained model resulting from Federated Learning remains an open question. In this paper we explore how Block...
https://arxiv.org/abs/2011.07516v1
2011.07516
2020-11-15
cybersecurity
2-Cycles on Higher Fano Hypersurfaces
Let F(X_d) be a smooth Fano variety of lines of a hypersurface X_d of degree d. In this paper, we prove the Griffiths group Griff_1(F(X_d)) is trivial if the hypersurface X_d is of 2-Fano type. As a result, we give a positive answer to a question of Professor Voisin about the first Griffiths groups of Fano varieties in...
http://arxiv.org/abs/1512.01721v3
1512.01721
2016-10-12
cybersecurity
2d (0,2) Gauge Theories from Branes: Recent Progress in Brane Brick Models
We discuss the realization of $2d$ $(0,2)$ gauge theories in terms of branes focusing on Brane Brick Models, which are T-dual to D1-branes probing toric Calabi-Yau 4-folds. These brane setups fully encode the infinite class of $2d$ $(0,2)$ quiver gauge theories on the worldvolume of the D1-branes and substantially stre...
https://arxiv.org/abs/2402.06993v1
2402.06993
2024-02-10
cybersecurity
2d (0,2) Quiver Gauge Theories and D-Branes
We initiate a systematic study of 2d (0,2) quiver gauge theories on the worldvolume of D1-branes probing singular toric Calabi-Yau 4-folds. We present an algorithm for efficiently calculating the classical mesonic moduli spaces of these theories, which correspond to the probed geometries. We also introduce a systematic...
http://arxiv.org/abs/1506.03818v2
1506.03818
2015-06-30
cybersecurity
2D, 2.5D, or 3D? An Exploratory Study on Multilayer Network Visualisations in Virtual Reality
Relational information between different types of entities is often modelled by a multilayer network (MLN) -- a network with subnetworks represented by layers. The layers of an MLN can be arranged in different ways in a visual representation, however, the impact of the arrangement on the readability of the network is a...
https://arxiv.org/abs/2307.10674v2
2307.10674
2023-07-20
cybersecurity
2D2C, 2D3C, 2C2Dcw1C3D, 3D3C, rotating turbulence, thin-layer flows, quasi-static magnetohydrodynamics (QSMHD), and beyond
More serious works on 2D2C, 2D3C, 2C2Dcw1C3D, 3D3C, rotating turbulence, thin-layer flows, quasi-static magnetohydrodynamics (QSMHD), and all that are wanted, but we report timely here some studies on locally and globally 2C2Dcw1C3D flows, with the hope to promote smarter and deeper works.
http://arxiv.org/abs/1408.1503v5
1408.1503
2018-03-30
cybersecurity
2D-2FA: A New Dimension in Two-Factor Authentication
We propose a two-factor authentication (2FA) mechanism called 2D-2FA to address security and usability issues in existing methods. 2D-2FA has three distinguishing features: First, after a user enters a username and password on a login terminal, a unique $\textit{identifier}$ is displayed to her. She $\textit{inputs}$ t...
https://arxiv.org/abs/2110.15872v1
2110.15872
2021-10-29
cybersecurity
2D-3D Attention and Entropy for Pose Robust 2D Facial Recognition
Despite recent advances in facial recognition, there remains a fundamental issue concerning degradations in performance due to substantial perspective (pose) differences between enrollment and query (probe) imagery. Therefore, we propose a novel domain adaptive framework to facilitate improved performances across large...
https://arxiv.org/abs/2505.09073v1
2505.09073
2025-05-14
cybersecurity
2D-3D crossover in a dense electron liquid in silicon
Doping of silicon via phosphene exposures alternating with molecular beam epitaxy overgrowth is a path to Si:P substrates for conventional microelectronics and quantum information technologies. The technique also provides a new and well-controlled material for systematic studies of two-dimensional lattices with a half-...
http://arxiv.org/abs/1802.05208v2
1802.05208
2018-02-15
cybersecurity
2D/3D Deep Image Registration by Learning 3D Displacement Fields for Abdominal Organs
Deformable registration of two-dimensional/three-dimensional (2D/3D) images of abdominal organs is a complicated task because the abdominal organs deform significantly and their contours are not detected in two-dimensional X-ray images. We propose a supervised deep learning framework that achieves 2D/3D deformable imag...
https://arxiv.org/abs/2212.05445v1
2212.05445
2022-12-11
cybersecurity
2D-3D Deformable Image Registration of Histology Slide and Micro-CT with ML-based Initialization
Recent developments in the registration of histology and micro-computed tomography ({\mu}CT) have broadened the perspective of pathological applications such as virtual histology based on {\mu}CT. This topic remains challenging because of the low image quality of soft tissue CT. Additionally, soft tissue samples usuall...
https://arxiv.org/abs/2410.14343v1
2410.14343
2024-10-18
cybersecurity
2D+3D Facial Expression Recognition via Discriminative Dynamic Range Enhancement and Multi-Scale Learning
In 2D+3D facial expression recognition (FER), existing methods generate multi-view geometry maps to enhance the depth feature representation. However, this may introduce false estimations due to local plane fitting from incomplete point clouds. In this paper, we propose a novel Map Generation technique from the viewpoi...
https://arxiv.org/abs/2011.08333v1
2011.08333
2020-11-16
cybersecurity
2D+3D facial expression recognition via embedded tensor manifold regularization
In this paper, a novel approach via embedded tensor manifold regularization for 2D+3D facial expression recognition (FERETMR) is proposed. Firstly, 3D tensors are constructed from 2D face images and 3D face shape models to keep the structural information and correlations. To maintain the local structure (geometric info...
https://arxiv.org/abs/2201.12506v1
2201.12506
2022-01-29
cybersecurity
2D-3D Fully Convolutional Neural Networks for Cardiac MR Segmentation
In this paper, we develop a 2D and 3D segmentation pipelines for fully automated cardiac MR image segmentation using Deep Convolutional Neural Networks (CNN). Our models are trained end-to-end from scratch using the ACD Challenge 2017 dataset comprising of 100 studies, each containing Cardiac MR images in End Diastole ...
http://arxiv.org/abs/1707.09813v1
1707.09813
2017-07-31
cybersecurity
2D-3D Geometric Fusion Network using Multi-Neighbourhood Graph Convolution for RGB-D Indoor Scene Classification
Multi-modal fusion has been proved to help enhance the performance of scene classification tasks. This paper presents a 2D-3D Fusion stage that combines 3D Geometric Features with 2D Texture Features obtained by 2D Convolutional Neural Networks. To get a robust 3D Geometric embedding, a network that uses two novel laye...
https://arxiv.org/abs/2009.11154v3
2009.11154
2020-09-23
cybersecurity