Interpolation - Science topic

Natural phenomena, as observed and recorded in nature, can be determined by a spatial distribution of certain characteristic measurable quantities that describe them and are called Regionalized Variables. The geostatistic approach of such physical problems is based on the spatial structure presented by all these regional variables. The correct mat...

Soils are incorporating many different chemical and physical properties and this numerous information is a useful tool for geoarchaeologists and archaeologists. Indeed, soils can give information on climate, human activities, vegetation, and geological or geomorphological features in the present and past times. The different components of soil can...

In this paper, a combination of a time discrete technique on graded meshes with barycentric rational interpolation is employed to solve a class of one-and two-dimensional time-dependent partial integro-differential equations with weakly singular kernels. Equations of this type are also commonly called fractional evolution equations, whose solutions...

The paper presents a novel Arbitrary Lagrangian-Eulerian formulation for dynamic problems of geometrically exact, sliding shells. In contrast to previous researches where the sliding motions are prescribed at sliding boundaries and the existence of configurational forces is not identified, the configurational momentum equation that governs the evol...

In this paper, we define interpolative enriched contractions of Kannan type, Hardy-Rogers type and Matkowski type, by enriching existing interpolative contractions, in the setting of convex metric space. For these newly introduced contractions, we prove existence of fixed points and approximation results using Krasnoselskij iteration. Examples are...

Including dynamic gust and flutter constraints in aeroelastic design optimization problems often presents prohibitive computational costs due to their need to be evaluated at many points throughout an aircraft's flight envelope. At the same time various studies have shown that gust response and flutter constraints are often limiting for optimized a...

In this paper we study Interpolation theorems for the space Besov-Morrey type with many groups of variables, that is, with help of theory imbedding we study some characterization of function which are belonging to intersection of such type spaces. In addition, with aid of such theorem we can construct new normed space type of Lebesgue-Morrey and so...

In order to solve the problem that some test data cannot be measured or the measurement is difficult, a combined aerodynamic parameters identification method for missing test data is proposed. In this method, the aerodynamic parameter identification problem is modified into an optimization problem. The initial value of the flight state and the aero...

During drug development, evidence can emerge to suggest a treatment is more effective in a specific patient subgroup. Whilst early trials may be conducted in biomarker-mixed populations, later trials are more likely to enrol biomarker-positive patients alone, thus leading to trials of the same treatment investigated in different populations. When c...

Contaminated sites pose a serious threat to the ecological environment and human health. Because of the presence of multiple peaks in the pollution data of some contaminated sites, as well as strong spatial heterogeneity and skewness in their distribution, the accuracy of spatial interpolation prediction is low. This study proposes a method for inv...

In this paper, we study the order of approximation for max-product Kantorovich sampling operators based upon generalized kernels in the setting of Orlicz spaces. We establish a quantitative estimate for the considered family of sampling-type operators using the Orlicz-type modulus of smoothness, which involves the modular functional of the space. F...

Van der Waals materials, such as α-phase molybdenum trioxide (α-MoO3), have promising prospects in modern optics technologies, such as nano-imaging, negative refraction, and infrared detection. Particularly, the natural hyperbolic properties of α-MoO3 make it an excellent candidate for perfect absorber. Here, we propose a design method for achievin...

We analyze a quantum version of the Monge–Kantorovich optimal transport problem. The quantum transport cost related to a Hermitian cost matrix C is minimized over the set of all bipartite coupling states ρAB\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepack...

This work proposes a new finite element for the mixed multiscale hybrid method (MHM) applied to the Poisson equation with highly oscillatory coefficients. Un- like the original MHM method, multiscale bases are the solution to local Neumann prob- lems driven by piecewise continuous polynomial interpolation on the skeleton faces of the macroscale mes...

Pivotuner is a VST3/AU MIDI effect plugin that automatically tunes note data in an adaptive pure intonation, in real time. Where previously pure intonation was out of reach for most musicians due to difficulty and impracticality, Pivotuner enables it to be achieved easily and straightforwardly by using novel yet simple algorithms. This may lead to...

In the study of nonlinear systems, the development of control descriptions in accordance with the model of the process depends on the tasks of solving the problems of identification of control objects. Control object modeling is limited to using the same methods for both linear and nonlinear types. Non-linear control is complicated due to the scope...

The conventional sampling framework, for which its roots trace back to the Shannon-Nyquist sampling theory, has the fundamental bottleneck of dynamic range limitation due to the finite dynamic range of ADC. To achieve High Dynamic Range (HDR) sensing, Unlimited Sampling Framework (USF) was proposed to conduct modulo encoding to the input signal and...

We introduce Explicit Neural Surfaces (ENS), an efficient surface reconstruction method that learns an explicitly defined continuous surface from multiple views. We use a series of neural deformation fields to progressively transform a continuous input surface to a target shape. By sampling meshes as discrete surface proxies, we train the deformati...

Multi-particle states with additional pions are expected to result in a difficult-to-control excited-state contamination in lattice simulations. We show that heavy meson chiral perturbation theory can be employed to estimate the contamination due to two-particle $B\pi$ states in various $B$-meson observables like the $B$-meson decay constant and th...

The hadronic mass spectrum of inclusive $\bar{B} \to X_s \ell^+ \ell^-$ is investigated at next to leading order in the heavy quark expansion. For mild cuts on the hadronic mass, the expansion, which applies when the cut is released, remains convergent. However, the cuts used at BaBar and Belle to reduce backgrounds from charged current semileptoni...

Neural rendering combines ideas from classical computer graphics and machine learning to synthesize images from real-world observations. NeRF, short for Neural Radiance Fields, is a recent innovation that uses AI algorithms to create 3D objects from 2D images. By leveraging an interpolation approach, NeRF can produce new 3D reconstructed views of c...

A bstract We explore the holographic duality between string theory in backgrounds that interpolate between asymptotically linear dilaton spacetime in the UV and AdS 3 in the IR, and single-trace $$ T\overline{T} $$ T T ¯ deformed CFT. In particular, we explain how the deformation of states in the boundary theory is reflected in the bulk geometry, a...

Stochastic computing (SC) is an emerging paradigm that has come to the fore in computer vision applications in the last decade. Complex arithmetic circuitry is reduced to simple logic gates, fed with uniform random bit-streams. Due to the requirement of long bit-streams, the computer-aided simulation of SC systems is facing run-time and memory-use...

This retrospective study evaluated the electronic medical records of patients with ankylosing spondylitis (AS) (January 2001–December 2018) to determine the relationship between serum alkaline phosphatase (ALP) levels and radiographic changes over time. Longitudinal data, including serum ALP levels, were imputed by linear interpolation at 3-month i...

Inspired by the advancements in (fully) homomorphic encryption in recent decades and its practical applications, we conducted a preliminary study on the underlying mathematical structure of the corresponding schemes. Hence, this paper focuses on investigating the challenge of deducing bivariate polynomials constructed using homomorphic operations,...

We propose an image restoration algorithm that can control the perceptual quality and/or the mean square error (MSE) of any pre-trained model, trading one over the other at test time. Our algorithm is few-shot: Given about a dozen images restored by the model, it can significantly improve the perceptual quality and/or the MSE of the model for newly...

Dense subgraph discovery methods are routinely used in a variety of applications including the identification of a team of skilled individuals for collaboration from a social network. However, when the network's node set is associated with a sensitive attribute such as race, gender, religion, or political opinion, the lack of diversity can lead to...

The aim of this paper is to present a new numerical scheme, namely the fractional multi-delay block boundary value method (FMDBBVM), which is proposed to solve fractional differential equations (FDEs) with multiple delays. The FMDBBVM is proposed via a combination of the block boundary value method (BBVM) and the Lagrange interpolating polynomial....

Neural surface implicit representations offer numerous advantages, including the ability to easily modify topology and surface resolution. However, reconstructing implicit geometry representation with only limited known data is challenging. In this paper, we present an approach that effectively interpolates and extrapolates within training points,...

Prediction of response values is a primary goal in many applications. The standard approach to this problem is kriging which is essentially a linear prediction using optimal least squares interpolation of the random field. However, the optimal predictor is not necessarily a linear one unless the geostatistical data support the Gaussian model. As da...

We identify a one-parameter family of inequalities for the Fourier transform whose limiting case is the restriction conjecture for the sphere. Using Stein's method of complex interpolation we prove the conjectured inequalities when the target space is $L^2$, and show that this recovers in the limit the celebrated Tomas-Stein theorem.

摘要：针对多样性目标在非结构化环境中的抓取位姿难以估计的问题，提出一种基于上下文聚合策略的轻量级编／解码抓取位姿检测网络。首先，以编／解码网络架构为基础，利用深度可分离卷积层与混洗单元构建目标特征深度分离－融合提取块，减少编码网络参数量，增强网络对抓取区域特征的提取能力；其次，利用双线性插值法和深度可分离卷积层建立深度分离－重构块，在恢复高层特征丢失信息的同时，有效减少解码网络的参数量；最后，针对可抓取区域像素点与目标物体全貌之间的非一致性问题，基于交叉熵辅助损失和自注意力机制，提出一种抓取区域上下文聚合策略，引导网络增强可抓取目标区域特征的表征能力，抑制非抓取像素点的冗余特征。实验结果表明，所提网络在Cornell 数据集的图像拆分与对象拆分子集上抓取检测准确率分别可达97.8% 与93....

The behavior of certain weighted Hardy‐type operators on rearrangement‐invariant function spaces is thoroughly studied. Emphasis is put on the optimality of the obtained results. First, the optimal rearrangement‐invariant function spaces guaranteeing the boundedness of the operators from/to a given rearrangement‐invariant function space are describ...

This paper proposes a metal artifact reduction method of using MV-CBCT images to correct metal artifacts in kV-CT images, especially for the complex metal artifacts caused by multi-metal interaction of patients with head and neck tumors. The different tissue regions are segmented in the MV-CBCT images to obtain template images and the metal region...

Geographers use different methods to study and analyze geographical data for natural and human phenomena. One of these methods is spatial completion, which is a prediction of missing values located between a limited number of sample points for graphic information and can be used to predict unknown values for any geographical data. The hypothesis th...

In this work, we propose a novel selective discontinuity sensor approach for numerical simulations of the compressible Navier–Stokes equations. Since transformation to characteristic space is already a common approach to reduce high-frequency oscillations during interpolation to cell interfaces, we exploit the characteristic wave structure of the E...

This paper studies a method for high-precision acquisition of position signals for permanent magnet direct drive servo motors at low speed. First of all, the problem of poor position feedback accuracy and sensor feedback delay in the low-speed operation of the permanent magnet direct drive servo motor is analyzed. Secondly, through analysis and sim...

Taking the air pollution monitoring data of 34 air monitoring stations in Beijing from February 8 to February 9, 2020, as an example. A spatiotemporal dynamic interpolation model of PM2.5 based on a multi-source pollution model was established. Based on the hourly spatiotemporal data of the day, the dispersion and attenuation of non-point source po...

This paper examines a series of connected and isolated lakes in the UK as a model system with historic episodes of heavy metal contamination. A 9-year hydrometeorological dataset for the sites was identified to analyse the legacy of heavy metal concentrations within the selected lakes based on physico-chemical and hydrometeorological parameters, an...

We use the elliptic interpolation kernel due to the second author to prove an A_n extension of the elliptic Selberg integral. More generally, we obtain elliptic analogues of the A_n Kadell, Hua-Kadell and Alba-Fateev-Litvinov-Tarnopolsky (or AFLT) integrals.

The intention of this work is to study a mathematical model for fractal-fractional tuberculosis and COVID-19 co-infection under the Atangana-Baleanu fractal-fractional operator. Firstly, we formulate the tuberculosis and COVID-19 co-infection model by considering the tuberculosis recovery individuals, the COVID-19 recovery individuals, and both dis...

In this paper, we introduce a novel form of interpolative convex contraction and develop some new theorems by utilizing the progressive method of interpolative convex contractions. We also obtain some fixed point results for a Suzuki convex contraction in orbitally S-complete F-metric spaces. The second purpose of this research is to evaluate the e...

In order to mitigate the interference of impulsive noises in the identification of nonlinear systems using spline prioritization optimization adaptive filtering (SPOAF) algorithm, an enhanced SPOAF based on generalized hyperbolic secant (GHS) function, named SPOAF–GHS, is proposed in this paper. The convergence property of the proposed algorithm ha...

Aiming at the tracing problem of ambient air quality exceeding the standard caused by the unorganized emission of multiple pollution sources in the chemical industry park, an air pollution tracing method based on OK-IGSO integrated algorithm is proposed. First of all, the ordinary Kriging algorithm (OK) of geostatistics is applied to the prediction...

In this note we discuss Reed-Solomon codes with domain of definition within the unit circle of the complex extension C(F) of a Mersenne prime field F. Within this unit circle the interpolants of "real", i.e. F-valued, functions are again almost real, meaning that their values can be rectified to a real representation at almost no extra cost. Second...

This paper proposes a near-central camera model and its solution approach. ’Near-central’ refers to cases in which the rays do not converge to a point and do not have severely arbitrary directions (non-central cases). Conventional calibration methods are difficult to apply in such cases. Although the generalized camera model can be applied, dense o...

In order to minimize the maximum weighted response time for any node in the network to reach the central control node, a central control node election algorithm based on dynamic programming is proposed. Firstly, the response times of nodes and links in the wireless network are modeled as the node weights and edge weights in the network topology, an...

Fast and accurate estimation of sinusoidal signals plays an important role in many fields like communications, radar, sonar, etc. In underwater signal processing applications, sinusoidal signals usually take the form of CW pulses in most practical applications, therefore, zero-padding and duty-cycle show their great importance to the estimation of...

While diffusion models can successfully generate data and make predictions, they are predominantly designed for static images. We propose an approach for training diffusion models for dynamics forecasting that leverages the temporal dynamics encoded in the data, directly coupling it with the diffusion steps in the network. We train a stochastic, ti...

We present a generalizable novel view synthesis method where it is possible to modify the visual appearance of rendered views to match a target weather or lighting condition. Our method is based on a generalizable transformer architecture, trained on synthetically generated scenes under different appearance conditions. This allows for rendering nov...

Introducing precise atmosphere information into precise point positioning enables rapid ambiguity resolution and introduces a significant accuracy improvement. However, it can only be implemented in regions with dense networks and stable communication links. For larger areas, e.g., an intercontinental level, there is a conflict between the accuracy...

The deviation of the tool center point (TCP) of a machine tool from its desired location needs to be assessed correctly to ensure an accurate and safe operation of the machine. A major source of TCP deviation are thermal loads, which are constantly changing during operation. Numerical simulation models help predicting these loads, but are typically...

Hawkes process is a class of self-exciting point processes with clustering effect whose jump rate relies on their entire past history. This process is usually defined as a continuous-time setting and has been widely applied in several fields, including insurance, finance, queueing theory, and statistics. The Hawkes model is generally non-Markovian...

The correlation functions of meson interpolators in Nf=2+1+1 lattice QCD with optimal domain-wall quarks at the physical point are studied for six temperatures in the range T∼190–770 MeV. The meson interpolators include a complete set of Dirac bilinears, and each for six combinations of quark flavors. In this paper, we focus on the meson correlator...

Background: Stroke is a significant public health problem and a leading cause of death and long-term disability worldwide. Several treatments for ischemic stroke have been developed, but these treatments have limited effectiveness. One potential treatment for this condition is Actovegin®/AODEJIN, a calf blood deproteinized hemodialysate/ultrafiltra...

Graph-based models have become increasingly important in various domains, but the limited size and diversity of existing graph datasets often limit their performance. To address this issue, we propose EPIC (Edit Path Interpolation via learnable Cost), a novel interpolation-based method for augmenting graph datasets. Our approach leverages graph edi...

The estimation of rainfall depth–duration–frequency (DDF) curves is necessary for the design of several water systems and protection works. These curves are typically estimated from observed locations, but due to different sources of uncertainties, the risk may be underestimated. Therefore, it becomes crucial to quantify the uncertainty ranges of s...

We prove the orbital stability of solitons of the Maxwell--Lorentz equations with extended charged rotating particle. The solitons are stationary solutions which correspond to a uniform motion and rotation of the particle. The charge density of the particle is spherically symmetric, and in this case the solitons exist for any velocity $v\in\R^3$ wi...

Highlights • A comparative approach in evaluating the energy output of wind turbine using a discrete model and a continuous model. • The stationary component of wind speed has been modeled by stochastic differential equations based on sums of diffusion method. • A new polynomial interpolation formula was used to approximate wind power data. • Non-s...

The Aeolus satellite, the first spaceborne wind lidar launched by the European Space Agency (ESA) on 22 August 2018, provides global measurements of horizontal line-of-sight (HLOS) winds. The assimilation of Aeolus HLOS winds has been proven to improve numerical weather predictions (NWPs). Still, its influences on forecasts of tropical cyclones (TC...

Purpose This paper aims to propose a method to quickly set the heating zone temperatures and conveyor speed of the reflow oven. This novel approach intensely eases the trial and error in reflow profiling and is especially helpful when reflowing thick printed circuit boards (PCBs) with bulky components. Machine learning (ML) models can reduce the ti...

The direct parametrisation method for invariant manifolds is a nonlinear reduction technique which derives nonlinear mappings and reduced-order dynamics that describe the evolution of dynamical systems along a low-dimensional invariant-based span of the phase space. It can be directly applied to finite element problems. When the development is perf...

The planar integrability of $\mathcal{N}=4$ super-Yang-Mills (SYM) is the cornerstone for numerous exact observables. We show that the large charge sector of the ${\rm SU}(2)$ $\mathcal{N}=4$ SYM provides another interesting solvable corner which exhibits striking similarities despite being far from the planar limit. We study non-BPS operators obta...

Motivation Glycosylation elaborates the structures and functions of glycoproteins; glycoproteins are common post-translationally modified proteins and are heterogeneous and non-deterministically synthesized as an evolutionarily driven mechanism that elaborates the functions of glycosylated gene products. While glycoproteins account for approximatel...

Dilated Convolution with Learnable Spacings (DCLS) is a recently proposed variation of the dilated convolution in which the spacings between the non-zero elements in the kernel, or equivalently their positions, are learnable. Non-integer positions are handled via interpolation. Thanks to this trick, positions have well-defined gradients. The origin...

The accurate robust and efficient transfer of the deformation gradient tensor between meshes of different resolution is crucial in cardiac electromechanics simulations. We present a novel method that combines rescaled localized Radial Basis Function (RBF) interpolation with Singular Value Decomposition (SVD) to preserve the positivity of the determ...

How can we design engaging and effective medical education both online and on site? Extended reality (XR) is a term referring to all real-and-virtual combined environments and human-machine interactions generated by computer technology and wearables. It includes representative forms such as AR, VR, and MR, and the areas interpolated among them. MR...

To address the issues of low efficiency and lengthy running time associated with trajectory planning for 6-degree-of-freedom manipulators, this paper introduces a novel solution that generates a time-optimal path for a manipulator while adhering to its kinematic limitations. The proposed method comprises several stages. Firstly, the kinematics of t...

Massive multi-input multioutput (MIMO) coupled with orthogonal frequency division multiplexing (OFDM) has been utilized extensively in wireless communication systems to investigate spatial diversity. However, the increasing need for channel estimate pilots greatly increases spectrum consumption and signal overhead in massive MIMO-OFDM systems. This...