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we prove closed - form equations for the exact high - dimensional asymptotics of a family of first order gradient - based methods, learning an estimator ( e. g. m - estimator, shallow neural network,... ) from observations on gaussian data with empirical risk minimization. this includes widely used algorithms such as s... | arxiv:2210.06591 |
let g be a complex semisimple linear algebraic group, and x a wonderful g - variety. we determine the connected automorphism group of x and we calculate luna ' s invariants of x under its action. | arxiv:0802.4431 |
the quantum coherence of electrons can be probed by studying weak localization corrections to the conductivity. interaction effects lead to dephasing, with electron - electron interactions being the important intrinsic mechanism. a controversy exists whether or not the dephasing rate, as measured in a weak localization... | arxiv:cond-mat/0110495 |
we introduce a computational technique for studying non - supersymmetric deformations of domain wall solutions of interest in ads / cft. we focus on the klebanov - strassler solution, which is dual to a confining gauge theory. from an analysis of asymptotics we find that there are three deformations that leave the ten ... | arxiv:hep-th/0206098 |
electric transport and scanning tunneling spectrum ( sts ) have been investigated on polycrystalline samples of the new superconductor bi4o4s3. a weak insulating behavior in the resistive curve has been induced in the normal state when the superconductivity is suppressed by applying a magnetic field. interestingly, a k... | arxiv:1304.3354 |
agents are represented by nodes on a random graph ( e. g., small world or truncated power law ). each agent is endowed with a zero - mean random value that may be either positive or negative. all agents attempt to find relief, i. e., to reduce the magnitude of that initial value, to zero if possible, through exchanges.... | arxiv:physics/0612085 |
we define a simple obstruction to yu ' s property a that we call $ k $ - prisms. this structure allows for a straightforward proof that the space of persistence diagrams fails to have property a in a wasserstein metric. | arxiv:1902.02288 |
most clusters and groups of galaxies contain a giant elliptical galaxy in their centres which far outshines and outweighs normal ellipticals. the origin of these brightest cluster galaxies is intimately related to the collapse and formation of the cluster. using an n - body simulation of a cluster of galaxies in a hier... | arxiv:astro-ph/9709102 |
recently, it was pointed out that soft masses of the supersymmetric gauge theories with extra dimensions tends to a flavor conserving point, which is a desirable scenario in gravity mediation models. we point out that in 6d we must consider the anomaly free condition in addition to the condition on the asymptotic freed... | arxiv:hep-ph/0212354 |
knowledge of relaxation processes is fundamental in glass science and technology because relaxation is intrinsically related to vitrification, tempering as well as to annealing and sev - eral applications of glasses. however, there are conflicting reports - - summarized here for different glasses - - on whether the str... | arxiv:2010.10554 |
( abridged ). in this paper, we present results from a large set of numerical simulations that demonstrate that h2 formation occurs rapidly in turbulent gas. starting with purely atomic hydrogen, large quantities of molecular hydrogen can be produced on timescales of 1 - - 2 myr, given turbulent velocity dispersions an... | arxiv:astro-ph/0605121 |
we provide a glimpse of recent progress in meson physics made via qcd ' s dyson - schwinger equations with : a perspective on confinement and dynamical chiral symmetry breaking ( dcsb ) ; a pre ' cis on the physics of in - hadron condensates ; results for the masses of the \ pi, \ sigma, \ rho, a _ 1 mesons and their f... | arxiv:1007.4318 |
we study capability of the ilc beam dump experiment to search for new physics, comparing the performance of the electron and positron beam dumps. the dark photon, axion - like particles, and light scalar bosons are considered as new physics scenarios, where all the important production mechanisms are included : electro... | arxiv:2105.13768 |
experimental results describing random, uni - directional, long crested, water waves over non - uniform bathymetry confirm the formation of stable coherent wave packages traveling with almost uniform group velocity. the waves are generated with jonswap spectrum for various steepness, height and constant period. a set o... | arxiv:2005.14193 |
context. deep spectroscopic surveys with the atacama large millimeter / submillimeter array ( alma ) have revealed that some of the brightest infrared sources in the sky correspond to concentrations of dusty star - forming galaxies ( dsfg ) at high redshift. among these, the spt2349 - 56 protocluster system at z = 4. 3... | arxiv:2301.01328 |
we show via numerical simulation that kerr frequency combs can be generated in a nonlinear resonator characterized with normal group velocity dispersion ( gvd ). we find the spectral shape of the comb and temporal envelope of the corresponding optical pulses formed in the resonator. | arxiv:1111.3907 |
over the last decades the web has evolved from a human - human communication network to a network of complex human - machine interactions. an increasing amount of data is available as linked data which allows machines to " understand " the data, but rdf is not meant to be understood by humans. with jekyll rdf we presen... | arxiv:2201.00618 |
hydrogen segregation to vacancies in the surface and subsurface layers of ( 111 ) and ( 100 ) surfaces of pd is studied in the density functional theory ( dft ) approach. adsorption energies and configurations of various clusters of h atoms at the vacancies are calculated. the adsorption energy varies for different sit... | arxiv:2005.00623 |
strong external difference families ( sedfs ) were introduced by paterson and stinson as a more restrictive version of external difference families. sedfs can be used to produce optimal strong algebraic manipulation detection codes. we characterize the parameters $ ( v, m, k, \ lambda ) $ of a nontrivial sedf that is n... | arxiv:1701.05705 |
specific solutions of the nonlinear schr \ " odinger equation, such as the peregrine breather, are considered to be prototypes of extreme or freak waves in the oceans. an important question is, whether these solutions also exist in the presence of gusty wind. using the method of multiple scales, a nonlinear schr \ " od... | arxiv:1909.11761 |
in this work, we present quicksrnet, an efficient super - resolution architecture for real - time applications on mobile platforms. super - resolution clarifies, sharpens, and upscales an image to higher resolution. applications such as gaming and video playback along with the ever - improving display capabilities of t... | arxiv:2303.04336 |
traffic steering is a crucial technology for wireless networks, and multiple efforts have been put into developing efficient machine learning ( ml ) - enabled traffic steering schemes for open radio access networks ( o - ran ). given the swift emergence of novel ml techniques, conducting a timely survey that comprehens... | arxiv:2409.20391 |
in superstring theory spin structures are present on both the 2 - dimensional worldsheet and 10 - dimensional spacetime. we present a new proposal for the b - field in superstring theory and demonstrate its interaction with worldsheet spin structures. our formulation generalizes to orientifolds, where various twistings... | arxiv:1007.4581 |
we introduce a new language representation model called bert, which stands for bidirectional encoder representations from transformers. unlike recent language representation models, bert is designed to pre - train deep bidirectional representations from unlabeled text by jointly conditioning on both left and right cont... | arxiv:1810.04805 |
we analyze a class of topological static spherically symmetric vacuum solutions in $ f ( q ) $ - gravity. we considered an ansatz ensuring that those solutions trivially satisfy the field equations of the theory when the non - metricity scalar is constant. in the specific, we provide and discuss local solutions in the ... | arxiv:2208.13033 |
simulation of continuous time evolution requires time discretization on both classical and quantum computers. a finer time step improves simulation precision, but it inevitably leads to increased computational efforts. this is particularly costly for today ' s noisy intermediate scale quantum computers, where notable g... | arxiv:2209.12653 |
we summarize the current status of cosmological measurements using sne ia. searches to an average depth of z ~ 0. 5 have found approximately 100 sne ia to date, and measurements of their light curves and peak magnitudes find these objects to be about 0. 25mag fainter than predictions for an empty universe. these measur... | arxiv:astro-ph/9909088 |
a new semi - empirical formula for calculations of $ \ alpha $ ~ decay halflives is presented. it was derived from royer relationship by introducing new parameters which are fixed by fit to a set of experimental data. we are using three sets : set a with 130 e - e ( even - even ), 119 e - o ( even - odd ), 109 o - e, a... | arxiv:1702.05598 |
the \ textit { local learning coefficient } ( llc ) is a principled way of quantifying model complexity, originally derived in the context of bayesian statistics using singular learning theory ( slt ). several methods are known for numerically estimating the local learning coefficient, but so far these methods have not... | arxiv:2402.03698 |
the theory of physical dimensions and units in physics is outlined. this includes a discussion of the universal applicability and superiority of quantity equations. the international system of units ( si ) is one example thereof. by analyzing mechanics and electrodynamics, we are naturally led, besides the dimensions o... | arxiv:1810.03569 |
context. rr lyrae stars are useful standard candles allowing one to derive accurate distances for old star clusters. based on the recent catalogues from ogle - iv and gaia early data release 3 ( edr3 ), the distances can be improved for a few bulge globular clusters. aims. the aim of this work is to derive an accurate ... | arxiv:2110.13943 |
community detection approaches resolve complex networks into smaller groups ( communities ) that are expected to be relatively edge - dense and well - connected. the stochastic block model ( sbm ) is one of several approaches used to uncover community structure in graphs. in this study, we demonstrate that sbm software... | arxiv:2408.10464 |
measure theory is used in physics, not just to capture classical probability, but also to quantify the number of states. in previous works, we found that state quantification plays a foundational role in classical mechanics, and therefore, we set ourselves to construct the quantum equivalent of the liouville measure. u... | arxiv:2311.01951 |
we develop the non - perturbative reduced phase space quantization of causal diamonds in ( 2 + 1 ) - dimensional gravity with a nonpositive cosmological constant. in this part i we focus on the classical reduction process, and the description of the reduced phase space, while in part ii we discuss the quantization of t... | arxiv:2308.11741 |
we have identified several lithium - rich low - mass ( 0. 08 < m < 0. 3 msun ) stars within 5. 5 deg of the young open cluster eta chamaeleontis, nearly four times the radius of previous search efforts. of these stars we propose 4 new probable cluster members, and 3 possible members requiring further investigation. the... | arxiv:1005.3308 |
despite recent advances in mooc, the current e - learning systems have advantages of alleviating barriers by time differences, and geographically spatial separation between teachers and students. however, there has been a ' lack of supervision ' problem that e - learner ' s learning unit state ( lus ) can ' t be superv... | arxiv:1806.07372 |
the study of exploration in the domain of decision making has a long history but remains actively debated. from the vast literature that addressed this topic for decades under various points of view ( e. g., developmental psychology, experimental design, artificial intelligence ), intrinsic motivation emerged as a conc... | arxiv:2006.12917 |
the cavity approach is used to address the physical properties of random solids in equilibrium. particular attention is paid to the fraction of localized particles and the distribution of localization lengths characterizing their thermal motion. this approach is of relevance to a wide class of random solids, including ... | arxiv:cond-mat/0506194 |
unimodular gravity is characterized by an extra condition with respect to general relativity : the determinant of the metric is constant. this extra condition leads to a more restricted class of invariance by coordinate transformation. even though, if the conservation of the energy - momentum tensor is imposed in unimo... | arxiv:2112.06663 |
event cameras have recently been shown beneficial for practical vision tasks, such as action recognition, thanks to their high temporal resolution, power efficiency, and reduced privacy concerns. however, current research is hindered by 1 ) the difficulty in processing events because of their prolonged duration and dyn... | arxiv:2403.12534 |
the resonance x ( 1810 ) discovered in $ j / \ psi \ to \ gamma \ omega \ phi $ by besii is considered as a candidate of $ 0 ^ { + + } $ $ q ^ 2 \ bar { q } ^ 2 $ state. this model predicts that $ x \ to \ omega \ phi, k ^ * k ^ * $ are the two dominant decay channels and $ x \ to kk, \ eta \ eta, \ eta \ eta ' $ are s... | arxiv:hep-ph/0602072 |
this paper presents an approach combining lexico - semantic resources and distributed representations of words applied to the evaluation in machine translation ( mt ). this study is made through the enrichment of a well - known mt evaluation metric : meteor. this metric enables an approximate match ( synonymy or morpho... | arxiv:1610.01291 |
we derive the evolution of the energy deposition in the intergalactic medium ( igm ) by dark matter ( dm ) decays / annihilations for both sterile neutrinos and light dark matter ( ldm ) particles. at z > 200 sterile neutrinos transfer a fraction f _ abs ~ 0. 5 of their rest mass energy into the igm ; at lower redshift... | arxiv:astro-ph/0606482 |
it is proved that solutions of the complex monge - amp \ ` ere equation on compact k \ " ahler manifolds with right hand side in $ l ^ p, p > 1 $ are uniformly h \ " older continuous under the assumption on non - negative orthogonal bisectional curvature. | arxiv:0904.2578 |
in negatively curved field spaces, inflation can be realised even in steep potentials. hyperinflation invokes the ` centrifugal force ' of a field orbiting the hyperbolic plane to sustain inflation. we generalise hyperinflation by showing that it can be realised in models with any number of fields ( $ n _ f \ geq2 $ ),... | arxiv:1901.08603 |
to understand the interplay of d - wave superconductivity and antiferromagnetism, we consider a two - dimensional extended hubbard model with nearest neighbor attractive interaction. the hamiltonian is solved in the mean - field approximation on a finite lattice. in the impurity - free case, the minimum energy solution... | arxiv:cond-mat/0604400 |
we derive mathematical models of the elementary process of dissolution / growth of bubbles in a liquid under pressure control. the modeling starts with a fully compressible version, both for the liquid and the gas phase so that the entropy principle can be easily evaluated. this yields a full pde system for a compressi... | arxiv:1403.0248 |
we present a five - band herschel study ( 100 - 500um ) of three galaxy clusters at z ~ 1. 2 from the spitzer adaptation of the red - sequence cluster survey ( sparcs ). with a sample of 120 spectroscopically - confirmed cluster members, we investigate the role of environment on galaxy properties utilizing the projecte... | arxiv:1511.00584 |
we measured the microwave surface impedance of fese $ _ { 0. 4 } $ te $ _ { 0. 6 } $ single crystals with - and without external magnetic fields. the superfluid density exhibited a quadratic temperature dependence, indicating a strong pair - breaking effect. the flux - flow resistivity behaved as $ \ rho _ f ( b \ ll b... | arxiv:1406.7383 |
when a projection of a symmetric or hermitian matrix to the positive semidefinite cone is computed approximately ( or to working precision on a computer ), a natural question is to quantify its accuracy. a straightforward bound invoking standard eigenvalue perturbation theory ( e. g. davis - kahan and weyl bounds ) sug... | arxiv:1908.01606 |
student opinions for a course are important to educators and administrators, regardless of the type of the course or the institution. reading and manually analyzing open - ended feedback becomes infeasible for massive volumes of comments at institution level or online forums. in this paper, we collected and pre - proce... | arxiv:2304.03394 |
in the present work, we study the decompositions of codimension - one transitions that alter the singular set the of stable maps of $ s ^ 3 $ into $ \ mathbb { r } ^ 3, $ the topological behaviour of the singular set and the singularities in the branch set that involves cuspidal curves and swallowtails that alter the s... | arxiv:1807.06122 |
we classify certain $ \ mathbb { z } _ 2 $ - graded extensions of generalized haagerup categories in terms of numerical invariants satisfying polynomial equations. in particular, we construct a number of new examples of fusion categories, including : $ \ mathbb { z } _ 2 $ - graded extensions of $ \ mathbb { z } _ { 2n... | arxiv:2201.11901 |
data from four fermi - detected gamma - ray bursts ( grbs ) is used to set limits on spectral dispersion of electromagnetic radiation across the universe. the analysis focuses on photons recorded above 1 gev for fermi detected grb 080916c, grb 090510a, grb 090902b, and grb 090926a because these high - energy photons yi... | arxiv:1109.5191 |
in integrable one - dimensional quantum systems an infinite set of local conserved quantities exists which can prevent a current from decaying completely. for cases like the spin current in the xxz model at zero magnetic field or the charge current in the attractive hubbard model at half filling, however, the current o... | arxiv:1011.1354 |
single - cavity dual - comb lasers are a new class of ultrafast lasers which have a wide possible application space including pump - probe sampling, optical ranging, and gas absorption spectroscopy. however, to this date laser cavity multiplexing usually came to the trade - off in laser performance or relative timing n... | arxiv:2203.08536 |
road transportation is one of the largest sectors of greenhouse gas ( ghg ) emissions affecting climate change. tackling climate change as a global community will require new capabilities to measure and inventory road transport emissions. however, the large scale and distributed nature of vehicle emissions make this se... | arxiv:2103.08829 |
this paper deals with some nonlinear problems which exponential and biexponential decays are involved in. a proof of the quasiconvexity of the error function in some of these problems of optimization is presented. this proof is restricted to fitting observations by means of exponentials having the form $ f ( t ) = { \ ... | arxiv:1711.07891 |
an analysis is presented of the behaviour of muons in the low - temperature state in spin ice. it is shown in detail how the behavior observed in some previous muon experiments on spin ice in a weak transverse field may result from the macroscopic stray field of magnetized spin ice. a model is presented which allows th... | arxiv:1111.3657 |
cosmological correlators encode rich information about physics at the hubble scale and may exhibit characteristic oscillatory signals due to the exchange of massive particles. although many 1 - loop processes, especially those that break de sitter ( ds ) boosts, can generate significant leading signals for various part... | arxiv:2411.13636 |
we investigate the role of quantum fluctuations in the system composed of two branes bounding a region of ads. it is shown that the modulus effective potential generated by quantum fluctuations of both brane and bulk fields is incapable of stabilizing the space naturally at the separation needed to generate the hierarc... | arxiv:hep-th/0007065 |
onset of antiferromagnetism order in the $ \ sqrt { 5 } $ a $ \ times \ sqrt { 5 } $ a $ \ times $ c supercell decreases from 450k in the selenide ( x = 0 ) to 330k in the sulfide ( x = 1 ). we finally demonstrate a direct linear relationship between $ t _ { n \ acute { e } el } $ and the fe - ( se, s ) bond length ( o... | arxiv:1203.6181 |
the vacuum expectation values of the energy - - momentum tensor and the fermionic condensate are analyzed for a massive spinor field obeying the mit bag boundary condition on a cylindrical shell in the cosmic string spacetime. both regions inside and outside the shell are considered. by applying to the corresponding mo... | arxiv:0809.0844 |
in designing most software applications, much effort is placed upon the functional goals, which make a software system useful. however, the failure to consider emotional goals, which make a software system pleasurable to use, can result in disappointment and system rejection even if utilitarian goals are well implement... | arxiv:1810.12547 |
we present a data - driven and physics - informed algorithm for drilling accident forecasting. the core machine - learning algorithm uses the data from the drilling telemetry representing the time - series. we have developed a bag - of - features representation of the time series that enables the algorithm to predict t... | arxiv:2203.05378 |
in this paper we extend existing bayesian methods for variable selection in gaussian process regression, to select both the regression terms and the active covariates in the spatial correlation structure. we then use the estimated posterior probabilities to choose between relatively few modes through cross - validation... | arxiv:1501.00083 |
semantic segmentation is a key technology for autonomous vehicles to understand the surrounding scenes. the appealing performances of contemporary models usually come at the expense of heavy computations and lengthy inference time, which is intolerable for self - driving. using light - weight architectures ( encoder - ... | arxiv:2101.06085 |
using the coherent state techniques developed for the analysis of the eprl model we give the asymptotic formula for the ponzano - regge model amplitude for non - tardis triangulations of handlebodies in the limit of large boundary spins. the formula produces a sum over all possible immersions of the boundary triangulat... | arxiv:0909.2027 |
we study nonparametric estimation for the partially conditional average treatment effect, defined as the treatment effect function over an interested subset of confounders. we propose a hybrid kernel weighting estimator where the weights aim to control the balancing error of any function of the confounders from a repro... | arxiv:2103.03437 |
as the use of deep learning techniques has grown across various fields over the past decade, complaints about the opaqueness of the black - box models have increased, resulting in an increased focus on transparency in deep learning models. this work investigates various methods to improve the interpretability of deep n... | arxiv:2103.11072 |
the dominant dimension of algebras in the class a of 1 - quasi - hereditary algebras is at least two. by the morita - tachikawa theorem this implies that a is related to a certain class b of algebras via bimodules satisfying the double centralizer condition. in this paper we specify the class b and the modules over alg... | arxiv:1206.1786 |
a new type of nonlinear dust pulse structures has been observed in afterglow complex plasma under microgravity condition on board the international space station ( iss ). the dust pulses are triggered spontaneously as the plasma is switched off and the particles start to flow through each other ( uni - directional or c... | arxiv:2103.09607 |
energy theft, characterized by manipulating energy consumption readings to reduce payments, poses a dual threat - causing financial losses for grid operators and undermining the performance of smart grids. effective energy theft detection ( etd ) methods become crucial in mitigating these risks by identifying such frau... | arxiv:2307.16149 |
the optimal source - finding strategy for linear polarization data is an unsolved problem, with many inhibitive factors imposed by the technically - challenging nature of polarization observations. such an algorithm is essential for square kilometre array ( ska ) pathfinder surveys, such as the multifrequency snapshot ... | arxiv:1711.04516 |
we derive some entanglement properties of the ground states of two classes of quantum spin chains described by the fredkin model, for half - integer spins, and the motzkin model, for integer ones. since the ground states of the two models are known analytically, we can calculate the entanglement entropy, the negativity... | arxiv:1904.05205 |
state - of - the - art schemes for performance analysis and optimization of multiple - input multiple - output systems generally experience degradation or even become invalid in dynamic complex scenarios with unknown interference and channel state information ( csi ) uncertainty. to adapt to the challenging settings an... | arxiv:2206.15072 |
we consider a spherically symmetric and asymptotically flat vacuum solution of the horava - lifshitz ( hl ) gravity that is the analog of the general relativistic schwarzschild black hole. in the weak - field and slow - motion approximation, we work out the correction to the third kepler law of a test particle induced ... | arxiv:0909.5355 |
this paper presents a dual - stream text - to - speech ( tts ) model, syncspeech, capable of receiving streaming text input from upstream models while simultaneously generating streaming speech, facilitating seamless interaction with large language models. syncspeech has the following advantages : low latency, as it be... | arxiv:2502.11094 |
we present recent studies using the near - infrared instrument amber of the vlt interferometer ( vlti ) to investigate the structure and shaping processes within the extended atmosphere of agb stars. spectrally resolved near - infrared amber observations of the mira variable s ori have revealed wavelength - dependent a... | arxiv:1105.3392 |
we develop an algorithm based on an interaction network to identify high - transverse - momentum higgs bosons decaying to bottom quark - antiquark pairs and distinguish them from ordinary jets that reflect the configurations of quarks and gluons at short distances. the algorithm ' s inputs are features of the reconstru... | arxiv:1909.12285 |
we consider the entropic regularization of discretized optimal transport and propose to solve its optimality conditions via a logarithmic newton iteration. we show a quadratic convergence rate and validate numerically that the method compares favorably with the more commonly used sinkhorn - - knopp algorithm for small ... | arxiv:1710.06635 |
it is now well understood that machine learning models, trained on data without due care, often exhibit unfair and discriminatory behavior against certain populations. traditional algorithmic fairness research has mainly focused on supervised learning tasks, particularly classification. while fairness in unsupervised l... | arxiv:2209.07044 |
network science is a powerful tool for analyzing complex systems in fields ranging from sociology to engineering to biology. this paper is focused on generative models of large - scale bipartite graphs, also known as two - way graphs or two - mode networks. we propose two generative models that can be easily tuned to r... | arxiv:1607.08673 |
understanding and modeling pedestrian dynamics in dense crowds is a complex yet essential aspect of crowd management and urban planning. in this work, we investigate the dynamics of a dense crowd crossed by a cylindrical intruder using a mean - field game ( mfg ) model. by incorporating a discount factor to account for... | arxiv:2403.01168 |
the network approach plays a distinguished role in contemporary science of complex systems / phenomena. such an approach has been introduced into seismology in a recent work [ s. abe and n. suzuki, europhys. lett. 65, 581 ( 2004 ) ]. here, we discuss the dynamical property of the earthquake network constructed in calif... | arxiv:physics/0612058 |
the casimir force between two parallel plates separated by anisotropic media is investigated. we theoretically calculate the casimir force between two parallel plates when the interspace between the plates is filled with anisotropic media. our result shows that the anisotropy of the material between the plates can sign... | arxiv:1502.06335 |
we prove a base point free theorem for nef and log big divisors on log canonical surfaces. | arxiv:alg-geom/9705005 |
we present a quantitative investigation of the effect of stellar oscillations on doppler velocity planet searches. using data from four asteroseismological observation campaigns, we find a power law relationship between the noise impact of these oscillations on doppler velocities and both the luminosity - to - mass of ... | arxiv:0706.3548 |
we consider a gaussian beam ( gb ) resonant system for high frequency gravitational waves ( hfgws ) detection. at present, we find the optimal signal strength in theory through setting the magnetic component of gb in a standard gaussian form. under the synchro - resonance condition, we study the signal strength ( i. e.... | arxiv:1411.1811 |
let $ \ omega \ subset \ mathbb { r } ^ { n + 1 } $, $ n \ geq 1 $, be an open set with $ s $ - ahlfors regular boundary $ \ partial \ omega $, for some $ s \ in ( 0, n ] $, such that either $ s = n $ and $ \ omega $ is a corkscrew domain with the pointwise john condition, or $ s < n $ and $ \ omega = \ mathbb { r } ^ ... | arxiv:2303.10717 |
many social networks exhibit assortative mixing so that the predictions of uncorrelated models might be inadequate. to analyze the role of assortativity we introduce an algorithm which changes correlations in a network and produces assortative mixing to a desired degree. this degree is governed by one parameter p. chan... | arxiv:cond-mat/0405095 |
we address various topologies ( de bruijn, chordal ring, generalized petersen, meshes ) in various ways ( isometric embedding, embedding up to scale, embedding up to a distance ) in a hypercube or a half - hypercube. example of obtained embeddings : infinite series of hypercube embeddable bubble sort and double chordal... | arxiv:1507.02147 |
we show that constituency parsing benefits from unsupervised pre - training across a variety of languages and a range of pre - training conditions. we first compare the benefits of no pre - training, fasttext, elmo, and bert for english and find that bert outperforms elmo, in large part due to increased model capacity,... | arxiv:1812.11760 |
starting with the ground - breaking work of cook ii, harbourne, migliore and nagel, there has been a lot of interest in unexpected hypersurfaces. in the last couple of months a considerable number of new examples and new phenomena has been observed and reported on. all examples studied so far had just one fat point. in... | arxiv:1812.04032 |
in this paper we prove that if $ x $ is a banach space, then for every lower semi - continuous bounded below function $ f, $ there exists a $ \ left ( \ varphi _ 1, \ varphi _ 2 \ right ) - $ convex function $ g, $ with arbitrarily small norm, such that $ f + g $ attains its strong minimum on $ x. $ this result extends... | arxiv:1610.05915 |
a unitary description for wobbling motion in even - even and even - odd nuclei is presented. in both cases compact formulas for wobbling frequencies are derived. the accuracy of the harmonic approximation is studied for the yrast as well as for the excited bands in the even - even case. important results for the struct... | arxiv:1711.01425 |
the microtubule network, an important part of the cytoskeleton, is constantly remodeled by alternating phases of growth and shrinkage of individual filaments. plus - end tracking proteins ( + tips ) interact with the microtubule and in many cases alter its dynamics. while it is established that the prototypal clip - 17... | arxiv:0912.4611 |
collect disturbed samples. piston samplers, employing a thin - walled tube, are most commonly used to collect less disturbed samples. more advanced methods, such as the sherbrooke block sampler, are superior but expensive. coring frozen ground provides high - quality undisturbed samples from ground conditions, such as ... | https://en.wikipedia.org/wiki/Geotechnical_engineering |
we obtain the basic results concerning the problem of constructing operator realizations of the formal differential expression $ \ nabla \ cdot a \ cdot \ nabla - b \ cdot \ nabla $ with measurable matrix $ a $ and vector field $ b $ having critical - order singularities as the generators of markov semigroups in $ l ^ ... | arxiv:1709.08598 |
recent years have seen a growing interest in methods for predicting an unknown variable of interest, such as a subject ' s diagnosis, from medical images depicting its anatomical - functional effects. methods based on discriminative modeling excel at making accurate predictions, but are challenged in their ability to e... | arxiv:2306.11107 |
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