归一化Alignment距离

为了更好地度量不同序列之间的差异,本文在给定度量空间上的符号距离满足特定条件的前提下,以Alignment距离为基础,提出了一种归一化Alignment距离.接下来利用Alignment相关度证明了该距离满足度量定义的三个条件,并且取值在[0,1]区间上.最后对其进行了进一步讨论,从理论上说明该定义的合理性.该距离可以在序列比对、聚类分析以及模式识别等领域中发挥重要作用.

Alignment Techniques in Total Knee Arthroplasty:Where do We Stand Today?

Achieving optimal alignment in total knee arthroplasty(TKA) is a critical factor in ensuring optimal outcomes and long-term implant survival. Traditionally, mechanical alignment has been favored to achieve neutral postoperative joint alignment. However, contemporary approaches, such as kinematic alignments and hybrid techniques including adjusted mechanical, restricted kinematic, inverse kinematic, and functional alignments, are gaining attention for their ability to restore native joint kinematics and anatomical alignment, potentially leading to enhanced functional outcomes and greater patient satisfaction. The ongoing debate on optimal alignment strategies considers the following factors: long-term implant durability, functional improvement, and resolution of individual anatomical variations. Furthermore, advancements of computer-navigated and robotic-assisted surgery have augmented the precision in implant positioning and objective measurements of soft tissue balance. Despite ongoing debates on balancing implant longevity and functional outcomes, there is an increasing advocacy for personalized alignment strategies that are tailored to individual anatomical variations. This review evaluates the spectrum of various alignment techniques in TKA, including mechanical alignment, patient-specific kinematic approaches, and emerging hybrid methods. Each technique is scrutinized based on its fundamental principles, procedural techniques, inherent advantages, and potential limitations, while identifying significant clinical gaps that underscore the need for further investigation.

由一般拓扑度量空间所产生的Alignment空间

Alignment空间是一个在广义误差下定义的度量空间。在以往的信息处理问题中,一般只讨论离散状态下的序列比对Alignment问题,并由此产生一种新的非线性度量空间-Alignment空间。本文将离散状态下的Alignment空间推广到一般情况,得到了由一般拓扑度量空间所产生的Alignment空间仍然是度量空间,并证明了Alignment距离与Levenshtein距离的等价性。

Joint alignment and steering to manage interference

In wireless communication networks,mobile users in overlapping areas may experience severe interference,therefore,designing effective Interference Management(IM)methods is crucial to improving network performance.However,when managing multiple disturbances from the same source,it may not be feasible to use existing IM methods such as Interference Alignment(IA)and Interference Steering(IS)exclusively.It is because with IA,the aligned interference becomes indistinguishable at its desired Receiver(Rx)under the cost constraint of Degrees-of-Freedom(DoF),while with IS,more transmit power will be consumed in the direct and repeated application of IS to each interference.To remedy these deficiencies,Interference Alignment Steering(IAS)is proposed by incorporating IA and IS and exploiting their advantages in IM.With IAS,the interfering Transmitter(Tx)first aligns one interference incurred by the transmission of one data stream to a one-dimensional subspace orthogonal to the desired transmission at the interfered Rx,and then the remaining interferences are treated as a whole and steered to the same subspace as the aligned interference.Moreover,two improved versions of IAS,i.e.,IAS with Full Adjustment at the Interfering Tx(IAS-FAIT)and Interference Steering and Alignment(ISA),are presented.The former considers the influence of IA on the interfering user-pair's performance.The orthogonality between the desired signals at the interfered Rx can be maintained by adjusting the spatial characteristics of all interferences and the aligned interference components,thus ensuring the Spectral Efficiency(SE)of the interfering communication pairs.Under ISA,the power cost for IS at the interfered Tx is minimized,hence improving SE performance of the interfered communication-pairs.Since the proposed methods are realized at the interfering and interfered Txs cooperatively,the expenses of IM are shared by both communication-pairs.Our in-depth simulation results show that joint use of IA and IS can effectively manage multiple disturbances from the same source and improve the system's SE.

Improved spatio-temporal alignment measurement method for hull deformation

In this paper,an improved spatio-temporal alignment measurement method is presented to address the inertial matching measurement of hull deformation under the coexistence of time delay and large misalignment angle.Large misalignment angle and time delay often occur simultaneously and bring great challenges to the accurate measurement of hull deformation in space and time.The proposed method utilizes coarse alignment with large misalignment angle and time delay estimation of inertial measurement unit modeling to establish a brand-new spatiotemporal aligned hull deformation measurement model.In addition,two-step loop control is designed to ensure the accurate description of dynamic deformation angle and static deformation angle by the time-space alignment method of hull deformation.The experiments illustrate that the proposed method can effectively measure the hull deformation angle when time delay and large misalignment angle coexist.

Beam based alignment using a neural network

Beams typically do not travel through the magnet centers because of errors in storage rings.The beam deviating from the quadrupole centers is affected by additional dipole fields due to magnetic field feed-down.Beam-based alignment(BBA)is often performed to determine a golden orbit where the beam circulates around the quadrupole center axes.For storage rings with many quadrupoles,the conventional BBA procedure is time-consuming,particularly in the commissioning phase,because of the necessary iterative process.In addition,the conventional BBA method can be affected by strong coupling and the nonlinearity of the storage ring optics.In this study,a novel method based on a neural network was proposed to determine the golden orbit in a much shorter time with reasonable accuracy.This golden orbit can be used directly for operation or adopted as a starting point for conventional BBA.The method was demonstrated in the HLS-II storage ring for the first time through simulations and online experiments.The results of the experiments showed that the golden orbit obtained using this new method was consistent with that obtained using the conventional BBA.The development of this new method and the corresponding experiments are reported in this paper.

A Time Series Short-Term Prediction Method Based on Multi-Granularity Event Matching and Alignment

Accurate forecasting of time series is crucial across various domains.Many prediction tasks rely on effectively segmenting,matching,and time series data alignment.For instance,regardless of time series with the same granularity,segmenting them into different granularity events can effectively mitigate the impact of varying time scales on prediction accuracy.However,these events of varying granularity frequently intersect with each other,which may possess unequal durations.Even minor differences can result in significant errors when matching time series with future trends.Besides,directly using matched events but unaligned events as state vectors in machine learning-based prediction models can lead to insufficient prediction accuracy.Therefore,this paper proposes a short-term forecasting method for time series based on a multi-granularity event,MGE-SP(multi-granularity event-based short-termprediction).First,amethodological framework for MGE-SP established guides the implementation steps.The framework consists of three key steps,including multi-granularity event matching based on the LTF(latest time first)strategy,multi-granularity event alignment using a piecewise aggregate approximation based on the compression ratio,and a short-term prediction model based on XGBoost.The data from a nationwide online car-hailing service in China ensures the method’s reliability.The average RMSE(root mean square error)and MAE(mean absolute error)of the proposed method are 3.204 and 2.360,lower than the respective values of 4.056 and 3.101 obtained using theARIMA(autoregressive integratedmoving average)method,as well as the values of 4.278 and 2.994 obtained using k-means-SVR(support vector regression)method.The other experiment is conducted on stock data froma public data set.The proposed method achieved an average RMSE and MAE of 0.836 and 0.696,lower than the respective values of 1.019 and 0.844 obtained using the ARIMA method,as well as the values of 1.350 and 1.172 obtained using the k-means-SVR method.

Alignment空间的几点注记

Alignment空间是一种由度量空间产生的度量空间,其中的度量函数称为Alignment距离.本文首先利用扩张结构的方法直接证明了Alignment距离是度量空间中的度量函数.接下来讨论了Alignment空间中逆序列和子序列的Alignment距离之间的关系,给出了关于Alignment距离的一系列不等式.

17~45岁肥胖门诊患者的6分钟步行试验距离参考方程研究

背景 目前6分钟步行试验(6MWT)已经被广泛用于评估肥胖人群的运动能力,并为制订干预措施提供了参考依据。国外已有研究提出了其他人群的6MWT距离参考方程,但中国17~45岁且BMI≥30 kg/m^(2)肥胖受试者的6MWT距离参考方程研究较少。目的 为17~45岁门诊肥胖受试者制订6MWT距离参考方程,并评估其影响因素。方法 根据美国胸科学会指南,前瞻性选取2022年6月—2023年9月于江苏省苏北人民医院内分泌科肥胖门诊部就诊的143名年龄17~45岁且BMI≥30 kg/m^(2)的成年人(71名男性和72名女性),进行人体测量和6MWT。采用逐步多元回归模型建立6MWT距离参考方程,将新建立的6MWT距离参考方程与现有的预测方程进行比较。结果 143名受试者的平均6MWT距离为(506.1±49.8)m,其中男性平均6MWT距离为(515.7±50.1)m,大于女性的平均6MWT距离(496.6±47.9)m(P<0.05)。在年龄段17~23岁、24~30岁、31~37岁以及38~45岁中,男性与女性6MWT距离比较,差异均有统计学意义(P<0.05)。男性受试者的体质量、BMI、最大心率(HR_(max))、心率差(ΔHR)、腰围、舒张压差(ΔDBP)、Borg量表评分差(ΔBorg)与6MWT距离相关(P<0.05),女性受试者的体质量、BMI、腰围与6MWT距离相关(P<0.05)。以步进的方法将潜在的影响因素纳入多元线性回归方程中,最终建立6MWT距离参考公式:男性y=494.463+1.414×ΔHR-3.903×BMI+0.874×HR_(max),R^(2)=0.429,女性y=670.448+0.299×ΔHR-4.342×BMI-0.195×HR_(max),R^(2)=0.312。结论 17~45岁门诊肥胖受试者中,男性的平均6MWT距离长于女性,且在不同年龄段均有显著差异。男性的体质量、BMI、HR_(max)、ΔHR、腰围、ΔDBP、ΔBorg与6MWT距离相关,女性的体质量、BMI、腰围、ΔSBP与6MWT距离相关。通过多元线性回归分析,为男性和女性分别建立了预测6MWT距离的参考方程,这些公式可能为评估个体的体能水平提供有价值的参考。

Alignment空间中的一个计数结果

Alignment空间是一种由广义差错产生的度量空间,其中的序列结构分析在应用领域中起到了越来越重要的作用.本文主要对Alignment空间F2*中Alignment距离为2的序列结构进行了研究,提出Alignment距离分布的概念,得到了长度为n并且Alignment距离为2的序列对数目的解析表达式.

On The Cauchy Problem for A 1D Euler-Alignment System in Besov Spaces

In this paper, we investigate a 1D pressureless Euler-alignment system with a non-local alignment term, describing a kind of self-organizing problem for flocking. As a result, by the transport equation theory and Lagrange coordinate transformation, the local well-posedness of the solutions for the 1D pressureless Euler-alignment in Besov spaces with 1≤p∞ is established. Next, the ill-posedness of the solutions for this model in Besov spaces with 1≤p and is also deduced. Finally, the precise blow-up criteria of the solutions for this system is presented in Besov spaces with 1≤p .

大直径长距离曲线顶管施工测量关键技术及应用

顶管施工测量是顶管施工技术中重要的组成部分,其目的是实时测量顶管机的空间位置,指导顶管机沿设计轴线开挖,直至顺利贯通。以上海某污水排管工程为背景,结合项目大直径、长距离曲线顶管的特点,从地面控制测量、顶管施工导墙测量等方面阐述了顶管施工测量关键技术,验证了该技术的可行性,保证了顶管施工质量。

交联透明质酸钠凝胶对近距离放射治疗中危及器官的隔离防护作用

背景:交联透明质酸钠凝胶具备良好的力学性能、生物相容性与降解性,可作为肿瘤放射治疗中的隔离防护材料,用于保护危及器官免受多余辐照剂量的损伤。目的:探究交联透明质酸钠凝胶在近距离放射治疗中减少危及器官受照剂量等方面的安全性及有效性。方法:取周龄相同、体质量相近的无特定病原体级昆明小鼠作为实验对象,共16只,采用随机数字表法分为实验组与对照组,每组8只。在实验组小鼠背部皮下植入125Ⅰ放射性粒子,随后环绕放射性粒子周边注射交联透明质酸钠凝胶,在对照组小鼠背部皮下仅植入125Ⅰ放射性粒子。注射完成后,采用螺旋CT扫描测量放射性粒子与表皮的距离,采用辐射剂量仪检测体表辐射剂量;注射后10周内,观察小鼠生长状态及存活率、皮肤放射损伤情况及凝胶存留量。结果与结论:①螺旋CT扫描显示植入的凝胶相对集中,并且使放射性粒子与表皮之间产生有效的间隔距离。实验组小鼠体表辐射剂量明显低于对照组(P<0.01)。②在实验观察期内,两组小鼠均存活,对照组小鼠在实验观察后期出现明显烦躁等不稳定表现,部分实验组小鼠出现类似行为;两组小鼠日摄食量无明显变化,体质量呈现相同的增长趋势。植入放射性粒子后两组小鼠均出现不同程度的放射性皮肤损伤,自注射后第23天开始至实验结束,实验组小鼠皮肤放射损伤评分均低于对照组(P<0.01)。植入后第10周,实验组6只小鼠皮下无明显凝胶残留,2只小鼠皮下存在极少量散在的凝胶状样品。③结果表明,注射交联透明质酸钠凝胶可通过物理占位作用增加125Ⅰ放射性粒子放射靶区和靶外危及器官的间隔空间,有效降低危及器官的受照剂量,对危及器官起到隔离防护作用。

Initial Alignment Technique for SINS of Vehicles in the Moving State

An initial alignment technique for the strapdown inertial navigation system (SINS) of vehicles in the moving state is researched. By selecting an odometer as the system’s external sensor, the mathematical model for the alignment in the moving state is established and the observability of the system is analyzed. The results show that the SINS can successfully achieve the precision alignment in 10 min when the vehicle is moving toward the prearranged place after its staying for several seconds to perform the coarse alignment. The precision of alignment can also be improved in the moving state compared with that in the static state.

Ground Alignment of Inertial Navigation System with the Aid of GPS Signals

Due to the poor observability of INS ground self alignment, only horizontal alignment is satisfied. This paper proposes using GPS double difference carrier phase as external reference to improve the observability of INS self alignment. Through observability analysis and computer simulation, it is demonstrated that the azimuth alignment is as quick as horizontal alignment, the accuracy of horizontal alignment is improved, and the gyros errors can be estimated quickly and precisely.

Ultra-precision alignment technique based on modified Moiré signals

A novel method for automatic ultra-precision alignment is presented.This method relies on the modified Moiré technique,and alignment marks are used in the form of gratings.The modified Moiré technique can effectively improve detecting sensitivity of signals and simplify the control system by using only one pair of laser-Moiré sensors.We present the mathematical model and simulation results of diffracting two gratings.The effect of various parameters on Moiré signals is studied theoretically and experimentally,and the results are found to be consistent.A computer controlled alignment device using one pair of Moiré sensors is designed.The device can achieve a fully automatic precision alignment by the modified Moiré signal.The experimental result shows that the alignment device can obtain the resolution of 5 nm and the positioning accuracy of ±0 5 μm.

Robust UKF algorithm in SINS initial alignment

In the traditional unscented Kalman filter（UKF）,accuracy and robustness decline when uncertain disturbances exist in the practical system.To deal with the problem,a robust UKF algorithm based on an H-infinity norm is proposed.In Krein space,a robust element is added in the simplified UKF so as to improve the algorithm.The filtering gain is adjusted by the robust element and in this way the performance of the robustness of the filtering algorithm is promoted.In the initial alignment process of the large heading misalignment angle of the strapdown inertial navigation system（SINS）,comparative studies are conducted on the robust UKF and the simplified UKF.The simulation results illustrate that compared with the simplified UKF,the robust UKF is more accurate,and the estimation error of heading misalignment decreases from 16.9＇ to 4.3＇.In short,the robust UKF can reduce the sensitivity to the system disturbances resulting in better performance.

Vector Correlations and Product Rotational Alignments of Reactions Ca+RBr→CaBr+R(R=CH_(3),C_(2) H_(5) and n-C_(3) H_(7))

The quasiclassical trajectory method is used to study the vector correlations of the reactions Ca＋RBr （R=CH3, C2H5 and n-C3H7Br） and the rotational alignment of product CaBr. The product rotational alignment parameters at different collision energies and the vector correlations between the reagent and product are numerically calculated. The vector correlations are described by using the angle distribution functions P（θr）, P（φr）, P（θr, φr） and the polarization-dependent differential cross sections （PDDCSs）. The peak values of P（θr） of the product CaBr from Ca＋CH3Br are larger than those from Ca＋C2H5Br and Ca＋n-C3H7Br. The peak of P（θr） at φr= 3π/2 is apparently stronger than that at φr= x/2 for the three reactions Ca＋RBr. The calculation results show that the rotational angular momentum of the product CaBr is not only aligned, but also oriented along the direction which is perpendicular to the scattering plane.The product CaBr molecules are strongly scattered forward. The orientation and alignment of the product angular momentum will affect the scattering direction of the product molecules to varying degrees.

Reference information time delay estimation and compensation in transfer alignment

To reduce the error in transfer alignment caused by reference information delay,a time delay estimation method is developed based on least-squares curve fitting of the angular rate integration.First,the gyro sensor measurements of the main strapdown inertial navigation system（M-SINS） and the slave strapdown inertial navigation system（S-SINS） are recorded for a few seconds and the integration of the data is calculated.Then,the possible maximum range of the delay value is defined and the points of the curve at different intervals are moved.The square of the differences between the corresponding points are calculated.Finally,the delay estimation can be acquired by the least-squares curve fitting of the M-SINS and the S-SINS.A delay compensation method by local data shifting is also presented.The simulation results demonstrate the effectiveness of delay estimation and indicate that the estimation accuracy is independent of the delay value.And the local data shifting compensation method can effectively reduce the errors of the transfer alignment caused by the reference information delay.

利用Alignment空间理论分析蛋白质的结构

蛋白质的结构分析对研究蛋白质的功能以及进化关系十分重要,而Alignment空间理论作为数学中一个崭新的方向,可以在蛋白质结构分析中发挥显著的作用。简要介绍了Alignment空间理论,采用基于蛋白质主链的二面角序列代表蛋白质的结构,利用Alignment空间理论,通过相应的动态规划算法得到了一种可以度量蛋白质结构相似程度的指标ρ。最后经由蛋白质序列的实例计算证明该指标的有效性。