title string | abstract string | url string | arxiv_id string | date string | category string |
|---|---|---|---|---|---|
1-Bit FQT: Pushing the Limit of Fully Quantized Training to 1-bit | Fully quantized training (FQT) accelerates the training of deep neural networks by quantizing the activations, weights, and gradients into lower precision. To explore the ultimate limit of FQT (the lowest achievable precision), we make a first attempt to 1-bit FQT. We provide a theoretical analysis of FQT based on Adam... | https://arxiv.org/abs/2408.14267v1 | 2408.14267 | 2024-08-26 | cybersecurity |
1-bit LAMB: Communication Efficient Large-Scale Large-Batch Training with LAMB's Convergence Speed | To train large models (like BERT and GPT-3) on hundreds of GPUs, communication has become a major bottleneck, especially on commodity systems with limited-bandwidth TCP network. On one side large batch-size optimization such as LAMB algorithm was proposed to reduce the frequency of communication. On the other side, com... | https://arxiv.org/abs/2104.06069v2 | 2104.06069 | 2021-04-13 | cybersecurity |
1-bit Localization Scheme for Radar using Dithered Quantized Compressed Sensing | We present a novel scheme allowing for 2D target localization using highly
quantized 1-bit measurements from a Frequency Modulated Continuous Wave (FMCW)
radar with two receiving antennas. Quantization of radar signals introduces
localization artifacts, we remove this limitation by inserting a dithering on
the unquanti... | http://arxiv.org/abs/1806.05408v2 | 1806.05408 | 2018-06-15 | cybersecurity |
1-Bit Massive MIMO Downlink Based on Constructive Interference | In this paper, we focus on the multiuser massive multiple-input single-output
(MISO) downlink with low-cost 1-bit digital-to-analog converters (DACs) for PSK
modulation, and propose a low-complexity refinement process that is applicable
to any existing 1-bit precoding approaches based on the constructive
interference (... | http://arxiv.org/abs/1810.12039v1 | 1810.12039 | 2018-10-29 | cybersecurity |
1-Bit Massive MIMO Transmission: Embracing Interference with Symbol-Level Precoding | The deployment of large-scale antenna arrays for cellular base stations (BSs), termed as `Massive MIMO', has been a key enabler for meeting the ever-increasing capacity requirement for 5G communication systems and beyond. Despite their promising performance, fully-digital massive MIMO systems require a vast amount of h... | https://arxiv.org/abs/2007.13950v3 | 2007.13950 | 2020-07-28 | cybersecurity |
1-bit Matrix Completion: PAC-Bayesian Analysis of a Variational Approximation | Due to challenging applications such as collaborative filtering, the matrix
completion problem has been widely studied in the past few years. Different
approaches rely on different structure assumptions on the matrix in hand. Here,
we focus on the completion of a (possibly) low-rank matrix with binary entries,
the so-c... | http://arxiv.org/abs/1604.04191v1 | 1604.04191 | 2016-04-14 | cybersecurity |
1-Bit Matrix Completion under Exact Low-Rank Constraint | We consider the problem of noisy 1-bit matrix completion under an exact rank
constraint on the true underlying matrix $M^*$. Instead of observing a subset
of the noisy continuous-valued entries of a matrix $M^*$, we observe a subset
of noisy 1-bit (or binary) measurements generated according to a probabilistic
model. W... | http://arxiv.org/abs/1502.06689v1 | 1502.06689 | 2015-02-24 | cybersecurity |
1bit-Merging: Dynamic Quantized Merging for Large Language Models | Recent advances in large language models have led to specialized models excelling in specific domains, creating a need for efficient model merging techniques. While traditional merging approaches combine parameters into a single static model, they often compromise task-specific performance. However, task-specific routi... | https://arxiv.org/abs/2502.10743v1 | 2502.10743 | 2025-02-15 | cybersecurity |
1-Bit MIMO for Terahertz Channels | This paper tackles the problem of single-user multiple-input multiple-output communication with 1-bit digital-to-analog and analog-to-digital converters. With the information-theoretic capacity as benchmark, the complementary strategies of beamforming and equiprobable signaling are contrasted in the regimes of operatio... | https://arxiv.org/abs/2109.04390v1 | 2109.04390 | 2021-09-09 | cybersecurity |
1-bit Quantized On-chip Hybrid Diffraction Neural Network Enabled by Authentic All-optical Fully-connected Architecture | Optical Diffraction Neural Networks (DNNs), a subset of Optical Neural Networks (ONNs), show promise in mirroring the prowess of electronic networks. This study introduces the Hybrid Diffraction Neural Network (HDNN), a novel architecture that incorporates matrix multiplication into DNNs, synergizing the benefits of co... | https://arxiv.org/abs/2404.07443v1 | 2404.07443 | 2024-04-11 | cybersecurity |
1-bit raw voltage recording system for dedicated observations of transients at low radio frequencies | Recently we had reported commissioning of a prototype for pulsar observations at low radio frequencies (<100 MHz) using log-periodic dipole antennas (LPDAs) in the Gauribidanur Radio Observatory near Bangalore in India. The aforementioned system (GAuribidanur Pulsar System, GAPS) is currently being augmented to directl... | https://arxiv.org/abs/2404.15031v1 | 2404.15031 | 2024-04-23 | cybersecurity |
$1$-Bit SubTHz RIS with Planar Tightly Coupled Dipoles: Beam Shaping and Prototypes | In this paper, a proof-of-concept study of a $1$-bit wideband reconfigurable intelligent surface (RIS) comprising planar tightly coupled dipoles (PTCD) is presented. The developed RIS operates at subTHz frequencies and a $3$-dB gain bandwidth of $27.4\%$ with the center frequency at $102$ GHz is shown to be obtainable ... | https://arxiv.org/abs/2402.08445v1 | 2402.08445 | 2024-02-13 | cybersecurity |
1-bounded entropy and regularity problems in von Neumann algebras | We investigate the singular subspace of an inclusion of tracial von Neumann
algebras. The singular subspace is a canonical N-N subbimodule of L^{2}(M) and
it contains the quasinormalizer introduced by Popa, one-sided quasinormalizer
introduced by Fang-Gao-Smith, and wq-normalizer introduced in Galatan-Popa
(following u... | http://arxiv.org/abs/1505.06682v5 | 1505.06682 | 2017-06-28 | cybersecurity |
1Cademy at Semeval-2022 Task 1: Investigating the Effectiveness of Multilingual, Multitask, and Language-Agnostic Tricks for the Reverse Dictionary Task | This paper describes our system for the SemEval2022 task of matching dictionary glosses to word embeddings. We focus on the Reverse Dictionary Track of the competition, which maps multilingual glosses to reconstructed vector representations. More specifically, models convert the input of sentences to three types of emb... | https://arxiv.org/abs/2206.03702v1 | 2206.03702 | 2022-06-08 | cybersecurity |
1Cademy @ Causal News Corpus 2022: Enhance Causal Span Detection via Beam-Search-based Position Selector | In this paper, we present our approach and empirical observations for Cause-Effect Signal Span Detection -- Subtask 2 of Shared task 3~\cite{tan-etal-2022-event} at CASE 2022. The shared task aims to extract the cause, effect, and signal spans from a given causal sentence. We model the task as a reading comprehension (... | https://arxiv.org/abs/2210.17157v1 | 2210.17157 | 2022-10-31 | cybersecurity |
1Cademy @ Causal News Corpus 2022: Leveraging Self-Training in Causality Classification of Socio-Political Event Data | This paper details our participation in the Challenges and Applications of Automated Extraction of Socio-political Events from Text (CASE) workshop @ EMNLP 2022, where we take part in Subtask 1 of Shared Task 3. We approach the given task of event causality detection by proposing a self-training pipeline that follows a... | https://arxiv.org/abs/2211.02729v1 | 2211.02729 | 2022-11-04 | cybersecurity |
1/c deformations of AdS$_3$ boundary conditions and the Dym hierarchy | This work introduces a novel family of boundary conditions for AdS$_3$ General Relativity, constructed through a polynomial expansion in negative integer powers of the Brown-Henneaux central charge. The associated dynamics is governed by the Dym hierarchy of integrable equations. It is shown that the infinite set of Dy... | https://arxiv.org/abs/2401.12338v2 | 2401.12338 | 2024-01-22 | cybersecurity |
1-cocycles of the Witt algebra with coefficients in tensor product of modules | In this paper, we classify 1-cocycles of the Witt algebra with coefficients in the tensor product of two arbitrary tensor density modules. In a special case, we recover a theorem originally established by Ng and Taft in \cite{NT}. Furthermore, by these 1-cocycles, we determine Lie bialgebra structures over certain infi... | https://arxiv.org/abs/2406.12565v1 | 2406.12565 | 2024-06-18 | cybersecurity |
$1$-cohomology of simplicial amalgams of groups | We develop a cohomological method to classify amalgams of groups. We
generalize this to simplicial amalgams in any concrete category. We compute the
non-commutative 1-cohomology for several examples of amalgams defined over
small simplices. | http://arxiv.org/abs/1509.04679v1 | 1509.04679 | 2015-09-15 | cybersecurity |
1-color-avoiding paths, special tournaments, and incidence geometry | We discuss two approaches to a recent question of Loh: must a 3-colored
transitive tournament on $N$ vertices have a 1-color-\emph{avoiding} path of
vertex-length at least $N^{2/3}$? This question generalizes the
Erd\H{o}s--Szekeres theorem on monotone subsequences.
First, we define three canonical transformations on... | http://arxiv.org/abs/1608.04153v2 | 1608.04153 | 2016-09-22 | cybersecurity |
$(1+)$-complemented, $(1+)$-isomorphic copies of $L_{1}$ in dual Banach spaces | The present paper contributes to the ongoing programme of quantification of isomorphic Banach space theory focusing on Pe{\l}czy\'nski's classical work on dual Banach spaces containing $L_{1}$ ($=L_{1}[0,1]$) and the Hagler--Stegall characterisation of dual spaces containing complemented copies of $L_{1}$. We prove the... | https://arxiv.org/abs/2108.03057v2 | 2108.03057 | 2021-08-06 | cybersecurity |
1-complemented subspaces of Banach spaces of universal disposition | We first unify all notions of partial injectivity appearing in the literature
---(universal) separable injectivity, (universal) $\aleph$-injectivity --- in
the notion of $(\alpha, \beta)$-injectivity ($(\alpha,
\beta)_\lambda$-injectivity if the parameter $\lambda$ has to be specified).
Then, extend the notion of space... | http://arxiv.org/abs/1708.03823v1 | 1708.03823 | 2017-08-12 | cybersecurity |
1-convex extensions of incomplete cooperative games and the average value | The model of incomplete cooperative games incorporates uncertainty into the classical model of cooperative games by considering a partial characteristic function. Thus the values for some of the coalitions are not known. The main focus of this paper is the class of 1-convex cooperative games under this framework. We ar... | https://arxiv.org/abs/2107.04679v2 | 2107.04679 | 2021-07-09 | cybersecurity |
1-Cycles on Fano varieties | We prove results about 1-cycles on certain Fano varieties using techniques
that rely on rational curves. Firstly, we show that Fano weighted complete
intersections with index bigger than half their dimension have trivial first
Griffiths group. Secondly, we prove that the first Chow group of most $2$-Fano
weighted compl... | http://arxiv.org/abs/1711.09987v1 | 1711.09987 | 2017-11-27 | cybersecurity |
1D/2D hybrid Te/Graphene and Te/MoS2: multifaceted broadband photonics and green energy applications | In this letter, we highlight the enhanced functionalization of the electronic and optical properties in the hybrid heterojunction of 1D Tellurene with 2D monolayer of Graphene and MoS2 in both lateral and vertical geometries, having potential applications in the field of photonics and energy harvesting. The structural ... | https://arxiv.org/abs/2203.09124v2 | 2203.09124 | 2022-03-17 | cybersecurity |
1D and 2D Flow Routing on a Terrain | An important problem in terrain analysis is modeling how water flows across a
terrain creating floods by forming channels and filling depressions. In this
paper we study a number of \emph{flow-query} related problems: Given a terrain
$\Sigma$, represented as a triangulated $xy$-monotone surface with $n$
vertices, a rai... | http://arxiv.org/abs/2009.08014v1 | 2009.08014 | 2020-09-17 | cybersecurity |
1D Anisotropic Surface Wave Tomography with Bayesian Inference | Classically, anisotropic surface wave tomography is treated as an optimisation problem where it proceeds through a linearised two-step approach. It involves the construction of 2D group or phase velocity maps for each considered period, followed by the inversion of local dispersion curves inferred from these maps for 1... | https://arxiv.org/abs/2012.03915v1 | 2012.03915 | 2020-12-07 | cybersecurity |
1D atmospheric study of the temperate sub-Neptune K2-18b | The atmospheric composition of exoplanets with masses between 2 and 10 M$_\oplus$ is poorly understood. In that regard, the sub-Neptune K2-18b, which is subject to Earth-like stellar irradiation, offers a valuable opportunity for the characterisation of such atmospheres. Previous analyses of its transmission spectrum f... | https://arxiv.org/abs/2011.10459v1 | 2011.10459 | 2020-11-20 | cybersecurity |
1D-CapsNet-LSTM: A Deep Learning-Based Model for Multi-Step Stock Index Forecasting | Multi-step stock index forecasting is vital in finance for informed decision-making. Current forecasting methods on this task frequently produce unsatisfactory results due to the inherent data randomness and instability, thereby underscoring the demand for advanced forecasting models. Given the superiority of capsule n... | https://arxiv.org/abs/2310.02090v2 | 2310.02090 | 2023-10-03 | cybersecurity |
1D CNN Architectures for Music Genre Classification | This paper proposes a 1D residual convolutional neural network (CNN) architecture for music genre classification and compares it with other recent 1D CNN architectures. The 1D CNNs learn a representation and a discriminant directly from the raw audio signal. Several convolutional layers capture the time-frequency chara... | https://arxiv.org/abs/2105.07302v1 | 2105.07302 | 2021-05-15 | cybersecurity |
1-D CNN based Acoustic Scene Classification via Reducing Layer-wise Dimensionality | This paper presents an alternate representation framework to commonly used time-frequency representation for acoustic scene classification (ASC). A raw audio signal is represented using a pre-trained convolutional neural network (CNN) using its various intermediate layers. The study assumes that the representations obt... | https://arxiv.org/abs/2204.00555v1 | 2204.00555 | 2022-03-31 | cybersecurity |
1D CNN Based Network Intrusion Detection with Normalization on Imbalanced Data | Intrusion detection system (IDS) plays an essential role in computer networks protecting computing resources and data from outside attacks. Recent IDS faces challenges improving flexibility and efficiency of the IDS for unexpected and unpredictable attacks. Deep neural network (DNN) is considered popularly for complex ... | https://arxiv.org/abs/2003.00476v2 | 2003.00476 | 2020-03-01 | cybersecurity |
1-D CNN-Based Online Signature Verification with Federated Learning | Online signature verification plays a pivotal role in security infrastructures. However, conventional online signature verification models pose significant risks to data privacy, especially during training processes. To mitigate these concerns, we propose a novel federated learning framework that leverages 1-D Convolut... | https://arxiv.org/abs/2406.06597v1 | 2406.06597 | 2024-06-06 | cybersecurity |
1D-CNN-IDS: 1D CNN-based Intrusion Detection System for IIoT | The demand of the Internet of Things (IoT) has witnessed exponential growth. These progresses are made possible by the technological advancements in artificial intelligence, cloud computing, and edge computing. However, these advancements exhibit multiple challenges, including cyber threats, security and privacy concer... | https://arxiv.org/abs/2409.08529v1 | 2409.08529 | 2024-09-13 | cybersecurity |
1DCNNTrans: BISINDO Sign Language Interpreters in Improving the Inclusiveness of Public Services | Indonesia ranks fourth globally in the number of deaf cases. Individuals with hearing impairments often find communication challenging, necessitating the use of sign language. However, there are limited public services that offer such inclusivity. On the other hand, advancements in artificial intelligence (AI) present ... | https://arxiv.org/abs/2409.01975v1 | 2409.01975 | 2024-09-03 | cybersecurity |
1D-confined crystallization routes for tungsten phosphides | Topological materials confined in one-dimension (1D) can transform computing technologies, such as 1D topological semimetals for nanoscale interconnects and 1D topological superconductors for fault-tolerant quantum computing. As such, understanding crystallization of 1D-confined topological materials is critical. Here,... | https://arxiv.org/abs/2309.11314v1 | 2309.11314 | 2023-09-20 | cybersecurity |
1d Conformal Field Theory and Dispersion Relations | We study conformal field theory in $d=1$ space-time dimensions. We derive a dispersion relation for the 4-point correlation function of identical bosons and fermions, in terms of the double discontinuity. This extends the conformal dispersion relation of arXiv:1910.12123, which holds for CFTs in dimensions $d\geq 2$, t... | https://arxiv.org/abs/2408.09870v2 | 2408.09870 | 2024-08-19 | cybersecurity |
1-D Convlutional Neural Networks for the Analysis of Pupil Size Variations in Scotopic Conditions | It is well known that a systematic analysis of the pupil size variations, recorded by means of an eye-tracker, is a rich source of information about a subject's arousal and cognitive state. Current methods for pupil analysis are limited to descriptive statistics, struggle in handling the wide inter-subjects variability... | https://arxiv.org/abs/2002.02383v2 | 2002.02383 | 2020-02-06 | cybersecurity |
1D-Convolutional Capsule Network for Hyperspectral Image Classification | Recently, convolutional neural networks (CNNs) have achieved excellent
performances in many computer vision tasks. Specifically, for hyperspectral
images (HSIs) classification, CNNs often require very complex structure due to
the high dimension of HSIs. The complex structure of CNNs results in
prohibitive training effo... | http://arxiv.org/abs/1903.09834v1 | 1903.09834 | 2019-03-23 | cybersecurity |
1-D Convolutional Graph Convolutional Networks for Fault Detection in Distributed Energy Systems | This paper presents a 1-D convolutional graph neural network for fault detection in microgrids. The combination of 1-D convolutional neural networks (1D-CNN) and graph convolutional networks (GCN) helps extract both spatial-temporal correlations from the voltage measurements in microgrids. The fault detection scheme in... | https://arxiv.org/abs/2211.02930v1 | 2211.02930 | 2022-11-05 | cybersecurity |
1D Convolutional Neural Network Models for Sleep Arousal Detection | Sleep arousals transition the depth of sleep to a more superficial stage. The
occurrence of such events is often considered as a protective mechanism to
alert the body of harmful stimuli. Thus, accurate sleep arousal detection can
lead to an enhanced understanding of the underlying causes and influencing the
assessment... | http://arxiv.org/abs/1903.01552v1 | 1903.01552 | 2019-03-01 | cybersecurity |
1D Convolutional Neural Networks and Applications: A Survey | During the last decade, Convolutional Neural Networks (CNNs) have become the de facto standard for various Computer Vision and Machine Learning operations. CNNs are feed-forward Artificial Neural Networks (ANNs) with alternating convolutional and subsampling layers. Deep 2D CNNs with many hidden layers and millions of ... | https://arxiv.org/abs/1905.03554v1 | 1905.03554 | 2019-05-09 | cybersecurity |
1D Convolutional neural networks and machine learning algorithms for spectral data classification with a case study for Covid-19 | Machine and deep learning algorithms have increasingly been applied to solve problems in various areas of knowledge. Among these areas, Chemometrics has been benefited from the application of these algorithms in spectral data analysis. Commonly, algorithms such as Support Vector Machines and Partial Least Squares are a... | https://arxiv.org/abs/2301.10746v1 | 2301.10746 | 2023-01-24 | cybersecurity |
1D-Convolutional transformer for Parkinson disease diagnosis from gait | This paper presents an efficient deep neural network model for diagnosing Parkinson's disease from gait. More specifically, we introduce a hybrid ConvNet-Transformer architecture to accurately diagnose the disease by detecting the severity stage. The proposed architecture exploits the strengths of both Convolutional Ne... | https://arxiv.org/abs/2311.03177v1 | 2311.03177 | 2023-11-06 | cybersecurity |
1D Diffeomorphism Invariant Model of a Free Scalar Relativistic Particle: Supervariable and BRST Approaches | We apply the supervariable approach to derive the proper quantum Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetries for the 1D diffeomorphism invariant model of a free scalar relativistic particle by exploiting the infinitesimal classical reparameterization (i.e. 1D diffeomorphism) symmetry of this theory. We de... | https://arxiv.org/abs/1912.12909v2 | 1912.12909 | 2019-12-30 | cybersecurity |
1-degree-of-freedom Robotic Gripper With Infinite Self-Twist Function | This study proposed a novel robotic gripper that can achieve grasping and infinite wrist twisting motions using a single actuator. The gripper is equipped with a differential gear mechanism that allows switching between the grasping and twisting motions according to the magnitude of the tip force applied to the finger.... | https://arxiv.org/abs/2211.05303v1 | 2211.05303 | 2022-11-10 | cybersecurity |
1D Error Correcting Code for Majorana Qubits | Although Majorana platforms are promising avenues to realizing topological
quantum computing, they are still susceptible to errors from thermal noise and
other sources. We show that the error rate of Majorana qubits can be
drastically reduced using a 1D repetition code. The success of the code is due
the imbalance betw... | http://arxiv.org/abs/1906.01658v3 | 1906.01658 | 2020-01-24 | cybersecurity |
1D finite-width graphene nanoribbon systems: alkalization and hydrogenation | Graphene is the first truly two-dimensional (2D) material, possessing a cone-like energy spectrum near the Fermi energy and treated as a gapless semiconductor. Its unique properties trigger researchers to find more applications of it, such as high carrier mobility at room temperature, superior thermoconductivity, high ... | https://arxiv.org/abs/2206.11162v1 | 2206.11162 | 2022-06-22 | cybersecurity |
1D flat bands in phosphorene nanoribbons with pentagonal nature | Materials with flat bands can serve as a promising platform to investigate strongly interacting phenomena. However, experimental realization of ideal flat bands is mostly limited to artificial lattices or moir\'e systems. Here we report a general way to construct one-dimensional (1D) flat bands in phosphorene nanoribbo... | https://arxiv.org/abs/2407.08353v2 | 2407.08353 | 2024-07-11 | cybersecurity |
1D fluids with repulsive nearest-neighbour interactions: Low-temperature anomalies | A limited number of 2D and 3D materials under a constant pressure contract in volume upon heating isobarically; this anomalous phenomenon is known as the negative thermal expansion (NTE). In this paper, the NTE anomaly is observed in 1D fluids of classical particles interacting pairwisely with two competing length scal... | https://arxiv.org/abs/2503.11310v1 | 2503.11310 | 2025-03-14 | cybersecurity |
1DFormer: a Transformer Architecture Learning 1D Landmark Representations for Facial Landmark Tracking | Recently, heatmap regression methods based on 1D landmark representations have shown prominent performance on locating facial landmarks. However, previous methods ignored to make deep explorations on the good potentials of 1D landmark representations for sequential and structural modeling of multiple landmarks to track... | https://arxiv.org/abs/2311.00241v2 | 2311.00241 | 2023-11-01 | cybersecurity |
1D GRPIC Simulations of Stellar-Mass Black Hole Magnetospheres: Semi-Analytic Model of Gamma-Rays from Gaps | In the absence of a sufficient amount of plasma injection into the black hole (BH) magnetosphere, the force-free state of the magnetosphere cannot be maintained, leading to the emergence of strong, time-dependent, longitudinal electric field (spark gap). Recent studies of supermassive BH magnetospheres by using analyti... | https://arxiv.org/abs/2310.12532v2 | 2310.12532 | 2023-10-19 | cybersecurity |
1D Hyperbolic Systems with Nonlinear Boundary Conditions II: Criteria for Finite Time Stability | We investigate the finite time stability property of one-dimensional nonautonomous initial boundary value problems for linear decoupled hyperbolic systems with nonlinear boundary conditions. We establish sufficient and necessary conditions under which continuous or $L^2$-generalized solutions stabilize to zero in a fin... | https://arxiv.org/abs/2208.00858v1 | 2208.00858 | 2022-08-01 | cybersecurity |
1-Diffractor: Efficient and Utility-Preserving Text Obfuscation Leveraging Word-Level Metric Differential Privacy | The study of privacy-preserving Natural Language Processing (NLP) has gained rising attention in recent years. One promising avenue studies the integration of Differential Privacy in NLP, which has brought about innovative methods in a variety of application settings. Of particular note are $\textit{word-level Metric L... | https://arxiv.org/abs/2405.01678v1 | 2405.01678 | 2024-05-02 | cybersecurity |
$1$-Dimensional Harnack Estimates | Let $u$ be a non-negative super-solution to a $1$-dimensional singular
parabolic equation of $p$-Laplacian type ($1<p<2$). If $u$ is bounded below on
a time-segment $\{y\}\times(0,T]$ by a positive number $M$, then it has a
power-like decay of order $\frac p{2-p}$ with respect to the space variable $x$
in $\mathbb R\ti... | http://arxiv.org/abs/1503.07448v1 | 1503.07448 | 2015-03-25 | cybersecurity |
1-Dimensional Intrinsic Persistence of Geodesic Spaces | Given a compact geodesic space $X$ we apply the fundamental group and alternatively the first homology group functor to the corresponding Rips or \v{C}ech filtration of $X$ to obtain what we call a persistence. This paper contains the theory describing such persistence: properties of the set of critical points, their p... | https://arxiv.org/abs/1709.05164v4 | 1709.05164 | 2017-09-15 | cybersecurity |
1-Dimensional Normal Competitive Market Equilibrium | We introduce a new microeconomics foundation of a specific type of competitive market equilibrium that can be used to study several markets with information asymmetry such as commodity market, credit market, and insurance market. | https://arxiv.org/abs/2505.08425v1 | 2505.08425 | 2025-05-13 | cybersecurity |
1-Dimensional polynomial neural networks for audio signal related problems | In addition to being extremely non-linear, modern problems require millions if not billions of parameters to solve or at least to get a good approximation of the solution, and neural networks are known to assimilate that complexity by deepening and widening their topology in order to increase the level of non-linearity... | https://arxiv.org/abs/2009.04077v2 | 2009.04077 | 2020-09-09 | cybersecurity |
1-D Isentropic Euler flows: Self-similar Vacuum Solutions | We consider one-dimensional self-similar solutions to the isentropic Euler system when the initial data are at vacuum to the left of the origin. For $x>0$ the initial velocity and sound speed are of form $u_0(x)=u_+x^{1-\lambda}$ and $c_0(x)=c_+x^{1-\lambda}$, for constants $u_+\in\RR$, $c_+>0$, $\lambda\in\RR$. We ana... | https://arxiv.org/abs/2312.07689v1 | 2312.07689 | 2023-12-12 | cybersecurity |
1-d Ising model using Kronecker sum and Kronecker product | Calculations in Ising model can be cumbersome and non-intuitive. Here we provide a formulation that addresses these issues for 1-D scenario. We represent the microstates of spin interactions as a diagonal matrix. This is done using two operations: Kronecker sum and Kronecker product. The calculations thus become simple... | https://arxiv.org/abs/2011.00760v2 | 2011.00760 | 2020-11-02 | cybersecurity |
1d Ising model with $1/r^{1.99}$ interaction | We study the 1d Ising model with long-range interactions decaying as $1/r^{1+s}$. The critical model corresponds to a family of 1d conformal field theories (CFTs) whose data depends nontrivially on $s$ in the range $1/2\leq s\leq 1$. The model is known to be described by a generalized free field with quartic interactio... | https://arxiv.org/abs/2412.12243v2 | 2412.12243 | 2024-12-16 | cybersecurity |
1D Kinematics from stars and ionized gas at $z\sim0.8$ from the LEGA-C spectroscopic survey of massive galaxies | We present a comparison of the observed, spatially integrated stellar and
ionized gas velocity dispersions of $\sim1000$ massive ($\log
M_{\star}/M_{\odot}\gtrsim\,10.3$) galaxies in the Large Early Galaxy
Astrophysics Census (LEGA-C) survey at $0.6\lesssim\,z\lesssim1.0$. The high
$S/N\sim20{\rm\AA^{-1}}$ afforded by ... | http://arxiv.org/abs/1811.07900v1 | 1811.07900 | 2018-11-19 | cybersecurity |
1D Kinetic Energy Density Functionals learned with Symbolic Regression | Orbital-free density functional theory promises to deliver linear-scaling electronic structure calculations. This requires the knowledge of the non-interacting kinetic-energy density functional (KEDF), which should be accurate and must admit accurate functional derivatives, so that a minimization procedure can be desig... | https://arxiv.org/abs/2412.08143v1 | 2412.08143 | 2024-12-11 | cybersecurity |
1 D Landau Ginzburg superpotential of Big Quantum Cohomology of CP2 | Using the inverse period map of the Gauss-Manin connection associated with $QH^{*}(\mathbb{CP}^2)$ and the Dubrovin construction of Landau-Ginzburg superpotential for Dubrovin Frobenius manifolds, we construct a one-dimensional Landau-Ginzburg superpotential for the quantum cohomology of $\mathbb{CP}^2$. In the case of... | https://arxiv.org/abs/2402.09574v1 | 2402.09574 | 2024-02-14 | cybersecurity |
1d lattice models for the boundary of 2d "Majorana" fermion SPTs: Kramers-Wannier duality as an exact $Z_2$ symmetry | It is well known that symmetry protected topological (SPT) phases host
non-trivial boundaries that cannot be mimicked in a lower-dimensional system
with a conventional realization of symmetry. However, for SPT phases of bosons
(fermions) within the cohomology (supercohomology) classification the boundary
can be recreat... | http://arxiv.org/abs/1902.05957v1 | 1902.05957 | 2019-02-15 | cybersecurity |
1D Magneto-Optical Trap of Polyatomic Molecules | We demonstrate a 1D magneto-optical trap of the polar free radical calcium
monohydroxide (CaOH). A quasi-closed cycling transition is established to
scatter $\sim 10^3$ photons per molecule, predominantly limited by interaction
time. This enables radiative laser cooling of CaOH while compressing the
molecular beam, lea... | http://arxiv.org/abs/2001.10525v2 | 2001.10525 | 2020-01-29 | cybersecurity |
1D Majorana Goldstinos and partial supersymmetry breaking in quantum wires | Realizing Majorana modes in topological superconductors, i.e., the condensed-matter counterpart of Majorana fermions in particle physics, may lead to a major advance in the field of topologically-protected quantum computation. Here, we introduce one-dimensional, counterpropagating, and dispersive Majorana modes as bulk... | https://arxiv.org/abs/2106.09039v4 | 2106.09039 | 2021-06-16 | cybersecurity |
1D Many-body localized Floquet systems II: Symmetry-Broken phases | Recent work suggests that a sharp definition of `phase of matter' can be
given for periodically driven `Floquet' quantum systems exhibiting many-body
localization. In this work we propose a classification of the phases of
interacting Floquet localized systems with (completely) spontaneously broken
symmetries -- we focu... | http://arxiv.org/abs/1602.06949v2 | 1602.06949 | 2016-11-24 | cybersecurity |
1D metallic states at 2D transition metal dichalcogenide semiconductor heterojunctions | Two-dimensional (2D) lateral heterojunctions of transition metal
dichalcogenides (TMDCs) have become a reality in recent years. Semiconducting
TMDC layers in their common H -structure have a nonzero in-plane electric
polarization, which is a topological invariant. We show by means of
first-principles calculations that ... | http://arxiv.org/abs/2008.06758v1 | 2008.06758 | 2020-08-15 | cybersecurity |
1D Model for the 3D Magnetohydrodynamics | We propose a one-dimensional (1D) model for the three-dimensional(3D) incompressible ideal magnetohydrodynamics. We establish a regularity criterion of the Beale-Kato-Majda type for this 1D model. Without the stretching effect, the model with only transport effect equipped with a proper sign is shown to have global in ... | https://arxiv.org/abs/2107.02920v2 | 2107.02920 | 2021-07-06 | cybersecurity |
1D Modeling of Sensor Selection Problem for Weak Barrier Coverage and Gap Mending in Wireless Sensor Networks | In this paper, we first remodel the line coverage as a 1D discrete problem
with co-linear targets. Then, an order-based greedy algorithm, called OGA, is
proposed to solve the problem optimally. It will be shown that the existing
order in the 1D modeling, and especially the resulted Markov property of the
selected senso... | http://arxiv.org/abs/1704.05576v1 | 1704.05576 | 2017-04-19 | cybersecurity |
1-D modelling and CFD study of the transient behaviour of a single phase Coupled Natural Circulation Loop | A Coupled Natural Circulation Loop (CNCL) consists of two Natural Circulation
Loops (NCL) coupled thermally via a common heat exchanger. The transient
modelling of such systems that have practical relevance has not been reported
in the literature to the best of the author's knowledge. The present work aims
to bridge th... | http://arxiv.org/abs/1804.10051v1 | 1804.10051 | 2018-04-26 | cybersecurity |
1D Mott variable-range hopping with external field | Mott variable-range hopping is a fundamental mechanism for electron transport
in disordered solids in the regime of strong Anderson localization. We give a
brief description of this mechanism, recall some results concerning the
behavior of the conductivity at low temperature and describe in more detail
recent results (... | http://arxiv.org/abs/1803.05166v2 | 1803.05166 | 2018-06-17 | cybersecurity |
1D non-LTE corrections for chemical abundance analyses of very metal-poor stars | Detailed chemical abundances of very metal-poor (VMP, [Fe/H] < -2) stars are important for better understanding the First Stars, early star formation and chemical enrichment of galaxies. Big on-going and coming high-resolution spectroscopic surveys provide a wealth of material that needs to be carefully analysed. For V... | https://arxiv.org/abs/2307.04523v1 | 2307.04523 | 2023-07-10 | cybersecurity |
1-domination of knots | We say that a knot $k_1$ in the $3$-sphere {\it $1$-dominates} another $k_2$
if there is a proper degree 1 map $E(k_1) \to E(k_2)$ between their exteriors,
and write $k_1 \ge k_2$. When $k_1 \ge k_2$ but $k_1 \ne k_2$ we write $k_1 >
k_2$. One expects in the latter eventuality that $k_1$ is more {\it
complicated}. In t... | http://arxiv.org/abs/1511.07073v1 | 1511.07073 | 2015-11-22 | cybersecurity |
1D photochemical model of the ionosphere and the stratosphere of Neptune | Neptune remains a mysterious world that deserves further exploration and is a
high-priority objective for a future planetary mission in order to better
understand the formation and evolution of ice giant planets. We have developed
a coupled ion-neutral 1D photochemical model of Neptune's atmosphere to study
the origin ... | http://arxiv.org/abs/2011.07984v1 | 2011.07984 | 2020-11-16 | cybersecurity |
1D Photonic Band Gap Atlas, Formula Extension and Design Applications | The design and development of new photonic devices for technological applications requires a deep understanding of the effect of structural properties on the resulting band gap size and its position. Here, we perform a theoretical study of behavior of the photonic band gap sizes, positions and percentages under variati... | https://arxiv.org/abs/2405.13633v1 | 2405.13633 | 2024-05-22 | cybersecurity |
1D photonic crystal direct bandgap GeSn-on-insulator laser | GeSn alloys have been regarded as a potential lasing material for a complementary metal-oxide-semiconductor (CMOS)-compatible light source. Despite their remarkable progress, all GeSn lasers reported to date have large device footprints and active areas, which prevent the realization of densely integrated on-chip laser... | https://arxiv.org/abs/2108.06142v2 | 2108.06142 | 2021-08-13 | cybersecurity |
1D planar, cylindrical and spherical subsonic solitary waves in space electron-ion-positive dust plasma systems | The space electron-ion-positive dust plasma system containing isothermal
inertialess electron species, cold inertial ion species, and stationary
positive (positivively charged) dust species is considered. The basic features
of one dimensional (1D) planar and nonplanar subsonic solitary waves are
investigated by the pse... | http://arxiv.org/abs/2009.09131v1 | 2009.09131 | 2020-09-19 | cybersecurity |
1D Poiseuille Plane Channel Flow by Second Order Response Matrix | With increasing miniaturization of diagnostic devices for more effective detection of blood-borne pathogens for example, Poiseuille molecular flow in micro channels has become increasingly relevant. Since continuum mechanics no longer applies for Poiseuille flow when the Knudson number is near or larger than unity, kin... | https://arxiv.org/abs/2406.16954v1 | 2406.16954 | 2024-06-20 | cybersecurity |
1D pressureless gas dynamics systems in a strip | We construct explicit measure-valued solutions to the one-dimensional pressureless gas dynamics system in a strip-like domain by introducing a new boundary potential. The constructed solutions satisfy an entropy condition, and depending on the boundary data and the behavior of the potentials, mass accumulation can occu... | https://arxiv.org/abs/2502.15927v2 | 2502.15927 | 2025-02-21 | cybersecurity |
1D Probabilistic Undersampling Pattern Optimization for MR Image Reconstruction | Magnetic resonance imaging (MRI) is mainly limited by long scanning time and vulnerable to human tissue motion artifacts, in 3D clinical scenarios. Thus, k-space undersampling is used to accelerate the acquisition of MRI while leading to visually poor MR images. Recently, some studies 1) use effective undersampling pat... | https://arxiv.org/abs/2003.03797v3 | 2003.03797 | 2020-03-08 | cybersecurity |
1d Quantum Harmonic Oscillator Perturbed by a Potential with Logarithmic Decay | In this paper we prove an infinite dimensional KAM theorem, in which the
assumptions on the derivatives of perturbation in \cite{GT} are weakened from
polynomial decay to logarithmic decay. As a consequence, we apply it to 1d
quantum harmonic oscillators and prove the reducibility of a linear harmonic
oscillator, $T=- ... | http://arxiv.org/abs/1605.05480v1 | 1605.05480 | 2016-05-18 | cybersecurity |
1-d Quantum Harmonic Oscillator with Time Quasi-periodic Quadratic Perturbation: Reducibility and Growth of Sobolev Norms | For a family of 1-d quantum harmonic oscillator with a perturbation which is $C^2$ parametrized by $E\in{\mathcal I}\subset{\Bbb R}$ and quadratic on $x$ and $-{\rm i}\partial_x$ with coefficients quasi-periodically depending on time $t$, we show the reducibility (i.e., conjugation to time-independent) for a.e. $E$. As... | https://arxiv.org/abs/2003.13034v2 | 2003.13034 | 2020-03-29 | cybersecurity |
1D quasicrystals and topological markers | Local topological markers are effective tools for determining the topological properties of both homogeneous and inhomogeneous systems. The Chern marker is an established topological marker that has previously been shown to effectively reveal the topological properties of 2D systems. In an earlier work, the present aut... | https://arxiv.org/abs/2201.09741v2 | 2201.09741 | 2022-01-24 | cybersecurity |
1-DREAM: 1D Recovery, Extraction and Analysis of Manifolds in noisy environments | Filaments are ubiquitous in astronomical data sets. Be it in particle simulations or observations, filaments are always tracers of a perturbation in the equilibrium of the studied system and hold essential information on its history and future evolution. However, the recovery of such structures is often complicated by ... | https://arxiv.org/abs/2503.21584v1 | 2503.21584 | 2025-03-27 | cybersecurity |
1-D Residual Convolutional Neural Network coupled with Data Augmentation and Regularization for the ICPHM 2023 Data Challenge | In this article, we present our contribution to the ICPHM 2023 Data Challenge on Industrial Systems' Health Monitoring using Vibration Analysis. For the task of classifying sun gear faults in a gearbox, we propose a residual Convolutional Neural Network that operates on raw three-channel time-domain vibration signals. ... | https://arxiv.org/abs/2304.07305v2 | 2304.07305 | 2023-04-14 | cybersecurity |
1D roughness driven depinning of breath figures on PDMS | The influence of surface constraints on the self-assembly of liquid droplets
is investigated. A semi-quantitative explanation for large scale pattern
formation consisting of small scale closely arranged droplets inside the large
scale distorted ring of droplets is presented in this paper. The scale at which
the influen... | http://arxiv.org/abs/1605.02942v2 | 1605.02942 | 2019-06-27 | cybersecurity |
1-D Schrödinger operator on a star graph with nondefinite weight function | On a star graph $G$ with $n = n_+ + n_-$ edges of unit length, we study the operator $-\frac{\mathrm{d}^2}{\mathrm{d} x^2}$ on $n_+$ and $\frac{\mathrm{d}^2}{\mathrm{d} x^2}$ on $n_-$ edges equipped with Dirichlet boundary conditions at the outer vertices and a Kirchhoff condition at the central vertex. We study the sp... | https://arxiv.org/abs/2505.22901v1 | 2505.22901 | 2025-05-28 | cybersecurity |
1D Schr\"odinger operators with complex potentials | We consider a Schr\"odinger operator with complex-valued potentials on the
line. The operator has essential spectrum on the half-line plus eigenvalues
(counted with algebraic multiplicity) in the complex plane without the positive
half-line. We determine series of trace formulas. Here we have the new term: a
singular m... | http://arxiv.org/abs/1909.08454v1 | 1909.08454 | 2019-09-18 | cybersecurity |
1D self-healing beams in integrated silicon photonics | Since the first experimental observation of optical Airy beams, various applications ranging from particle and cell micromanipulation to laser micromachining have exploited their non-diffracting and accelerating properties. The later discovery that Airy beams can self-heal after being blocked by an obstacle further pro... | https://arxiv.org/abs/2103.12254v1 | 2103.12254 | 2021-03-23 | cybersecurity |
1D self-similar fractals with centro-symmetric Jacobians: asymptotics and modular data | We establish asymptotics of growing one dimensional self-similar fractal graphs, they are networks that allow multiple weighted edges between nodes, in terms of quantum central limit theorems for algebraic probability spaces in pure state. An additional structure is endowed with the repeating units of centro-symmetric ... | https://arxiv.org/abs/2401.15515v1 | 2401.15515 | 2024-01-27 | cybersecurity |
1-D semi-analytical modeling and parametric study of a single phase rectangular Coupled Natural Circulation Loop | The study of heat exchangers with both the hot and cold fluid sides driven by
buoyancy forces is an area of considerable interest due to their inherent
passivity and non-existence of moving parts. The current study aims to study
such heat exchange devices employing the basic Coupled Natural Circulation Loop
(CNCL) syst... | http://arxiv.org/abs/1811.08074v1 | 1811.08074 | 2018-11-20 | cybersecurity |
1D solutions for compressible two-phase flows in a heated and cooled duct: mechanical equilibrium | Analytical/quasi-analytical solutions are proposed for a steady, compressible, two-phase flow in mechanical equilibrium in a rectilinear duct subjected to heating followed by cooling. The flow is driven by the pressure ratio between a variable outlet pressure and an upstream tank. A critical pressure ratio distinguishe... | https://arxiv.org/abs/2404.10345v1 | 2404.10345 | 2024-04-16 | cybersecurity |
1D Spin-Crossover Molecular Chain with Degenerate States | A study of the one-dimensional molecular chain (MC) with two single-particle degenerate states is presented. We establish connection of the MC with the Ising model with phononic interactions and investigate properties of the model using a transfer matrix method. The transfer matrix method offers a promising pathway for... | https://arxiv.org/abs/2102.13627v2 | 2102.13627 | 2021-02-26 | cybersecurity |
1D Spontaneous Symmetry Breaking in thermal equilibrium via Non-Hermitian Construction | Spontaneous symmetry breaking generally circumvents one-dimensional systems with local interactions in thermal equilibrium. Here, we analyze a category of one-dimensional Hermitian models via local non-Hermitian constructions. Notably, spontaneous symmetry breaking and long-range order may emerge at finite temperatures... | https://arxiv.org/abs/2410.19052v1 | 2410.19052 | 2024-10-24 | cybersecurity |
1D Stochastic Inversion of Airborne Time-domain Electromag-netic Data with Realistic Prior and Accounting for the Forward Modeling Error | Airborne electromagnetic surveys may consist of hundreds of thousands of soundings. In most cases, this makes 3D inversions unfeasible even when the subsurface is characterized by a high level of heterogeneity. Instead, approaches based on 1D forwards are routinely used because of their computational efficiency. Howeve... | https://arxiv.org/abs/2109.13780v1 | 2109.13780 | 2021-09-28 | cybersecurity |
1D stochastic pressure equation with log-correlated Gaussian coefficients | We study unique solvability for one dimensional stochastic pressure equation with diffusion coefficient given by the Wick exponential of log-correlated Gaussian fields. We prove well-posedness for Dirichlet, Neumann and periodic boundary data, and the initial value problem, covering the cases of both the Wick renormali... | https://arxiv.org/abs/2402.09127v1 | 2402.09127 | 2024-02-14 | cybersecurity |
1D Supergravity FLRW Model of Starobinsky | We study two homogeneous supersymmetric extensions for the $f(R)$ modified gravity model of Starobinsky with the FLRW metric. The actions are defined in terms of a superfield $\mathcal{R}$ that contains the FLRW scalar curvature. One model has N=1 local supersymmetry, and its bosonic sector is the Starobinsky action; t... | https://arxiv.org/abs/2110.00556v2 | 2110.00556 | 2021-10-01 | cybersecurity |
1D Thermoembolization Model Using CT Imaging Data for Porcine Liver | Objective: Innovative therapies such as thermoembolization are expected to play an important role in improvising care for patients with diseases such as hepatocellular carcinoma. Thermoembolization is a minimally invasive strategy that combines thermal ablation and embolization in a single procedure. This approach expl... | https://arxiv.org/abs/2409.06811v1 | 2409.06811 | 2024-09-10 | cybersecurity |
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