The essence of prose lies in expressing meaning and feeling of the prose, describing things and reasoning in real,plain and direct way, which is referred as its natural character. What the prose requires is to strive ...The essence of prose lies in expressing meaning and feeling of the prose, describing things and reasoning in real,plain and direct way, which is referred as its natural character. What the prose requires is to strive to make equivalence in the meaning, forms, taste, style and other aspects with the original text. What the prose express is not only the thematic meaning but also the stylistic meaning, in other words, the meaning that was contained in the content and forms. Hilaire Belloc, a famous prolific writer and historian, have formulated the six principles in translation of prose, in which he believes that the essence of translating is the resurrection of an alien thing in a native body.展开更多
The objective of the present work was to obtain pure ovine reproducers.Starting 2010 work began with the sheep herd of the Faculty of Veterinary Medicine and Animal Science of the Universidad Autónoma de Guerrero...The objective of the present work was to obtain pure ovine reproducers.Starting 2010 work began with the sheep herd of the Faculty of Veterinary Medicine and Animal Science of the Universidad Autónoma de Guerrero,located in the municipality of Pungarabato,Guerrero State,México.The faculty is 250 meters above sea level.The climate of the region is warm subhumid,with average temperature between 24 and 30°C,but in the heat season maximum temperatures up to 46°down in the shade.The rainfall regimen is 800-1,200 mm of rainfall per year.The production of sheep in Mexico is characterized mainly by creole animals and crosses are made with pure breeds imported from several European countries and USA.Therefore,there is a need to form local breeds adapted to the climatic conditions and production systems of Mexico.The sheep herd initially had 100 animal of hair,with 70 sheep with their lambs and a reproducer.These animals had phenotype Pelibuey,Black Belly,Doper and Katahdin.As of May 2010,consanguineous crosses were established.During this period the parameters were registered:date and type of birth,weight and sex of the newborn.Data on BW(Birth Weight)of males and females were analyzed by ANOVA(Analysis of Variance)and multiple comparison test was used for the comparison of means(Duncan,1955),with a significance level of P<0.05.The first reproducer was brown tobacco and had antlers,and the females had different phenotypes.Up to the present time,there are twenty studs with their respective descendants,and year 2019 the herd has 100 animals light brown and tobacco with their lambs(30),and a reproducer.The sheep are of medium size with 45 and 60 kg of average weight in females and male,respectively.Out of a total of 326 females and 335 males born,with an average weight of 2.62 kg at birth and a proliferative index of 1.41,20 MEVEZUG males were selected to be used as reproducers in 20 herds distributed in different sheep production units of the state of Guerrero.From the crosses of these breeders to the females of these herds,F1 animals(MEVEZUG×Criollo)are obtained.The sheep of different color to light brown or tobacco are discarded for the supply;the males are fed for the fodder in native meadows with irrigation with 95.17±19.45 g of daily gain of weight.In 2016,the trademark MEVEZUG was registered.It is concluded that to date the color of the breed has been fixed in females and males,which is light brown and tobacco brown,the registered productive indexes are acceptable and work will be continued to improve size and productive indexes,through selection of the best sheep.展开更多
The aim of the present paper is to study 2-complex symmetric bounded weighted composition operators on the Fock space of C^(N) with the conjugations J and J_(t,A,b) defined by ■ respectively,where k(z_(1),...,z_N)=(...The aim of the present paper is to study 2-complex symmetric bounded weighted composition operators on the Fock space of C^(N) with the conjugations J and J_(t,A,b) defined by ■ respectively,where k(z_(1),...,z_N)=(■,...,■),t∈C,b∈C^(N) and A is a linear operator on C^(N).An example of 2-complex symmetric bounded weighted composition operator with the conjugation J_(t,A,b) is given.展开更多
Reproducibility is a key aspect of the scientific method as it provides evidence for research claims. It is essential to promote openness, accessibility, and collaboration within the scientific community. This article...Reproducibility is a key aspect of the scientific method as it provides evidence for research claims. It is essential to promote openness, accessibility, and collaboration within the scientific community. This article aims to provide an introduction to best practices in reproducibility that are relevant to the transportation research community, to discuss issues and barriers to reproducibility, and to describe methods for addressing these issues. This article starts by discussing openness and transparency, then discusses several key best practices for reproducibility in transportation engineering, highlighting common methods and techniques, as well as the associated benefits. The paper concludes with a discussion of the key barriers to implementing reproducibility practices in transportation research and potential solutions. The barriers include existing culture and attitudes, data sensitivity, insufficient methodological detail, lack of code sharing, limited validation, additional time and research burden, and skill and knowledge gaps. Discussing each of these items provides an opportunity for the transportation research community to evolve to become one that embraces the openness and transparency of reproducibility.展开更多
We present and explore a new shock-capturing particle hydrodynamics approach.Our starting point is a commonly used discretization of smoothed particle hydrodynamics.We enhance this discretization with Roe’s approx-im...We present and explore a new shock-capturing particle hydrodynamics approach.Our starting point is a commonly used discretization of smoothed particle hydrodynamics.We enhance this discretization with Roe’s approx-imate Riemann solver,we identify its dissipative terms,and in these terms,we use slope-limited linear reconstruction.All gradients needed for our method are calculated with linearly reproducing kernels that are constructed to enforce the two lowest-order consistency relations.We scrutinize our reproducing kernel implementation carefully on a“glass-like”particle distribution,and we find that constant and linear functions are recovered to machine precision.We probe our method in a series of challenging 3D benchmark problems ranging from shocks over instabilities to Schulz-Rinne-type vorticity-creating shocks.All of our simulations show excellent agreement with analytic/reference solutions.展开更多
Background:Spinal cord injury presents a significant burden globally,with traumatic spinal cord injury being the predominant cause historically.However,nontraumatic spinal cord injury(NTSCI)is emerging as a significan...Background:Spinal cord injury presents a significant burden globally,with traumatic spinal cord injury being the predominant cause historically.However,nontraumatic spinal cord injury(NTSCI)is emerging as a significant contributor,particularly in devel-oped nations,yet it remains poorly understood due to underreporting and misclassifi-cation.NTSCI,spanning various etiologies such as bony growths,vascular conditions,infections,neoplastic conditions,and immune disorders,poses unique challenges in diagnosis and treatment,often resulting in lifelong morbidity.This study addresses the lack of suitable animal models for NTSCI research,especially in neonatal animals.Methods:Utilizing a solid spacer approach,we developed a compression NTSCI model applicable to both neonatal and adult Sprague-Dawley rats.Results:Through anatomical measurements and in vivo experiments,we confirmed the feasibility and safety of the spacer insertion procedure and observed no acute off-target effects.Conclusion:The versatility of this model lies in its adaptability to different ages of rats,offering a cost-effective and reproducible means to induce graded injuries.Moreover,behavioral assessments demonstrated observable hindlimb function,validating the model's utility for studying functional outcomes.Although challenges persist,par-ticularly in accounting for spinal column growth in neonatal animals,this model fills a crucial gap in pediatric NTSCI research.By providing a platform to investigate patho-physiological mechanisms and test potential treatments,it offers promising avenues for advancing our understanding and management of pediatric NTSCI.展开更多
In the realm of large-scale machine learning,it is crucial to explore methods for reducing computational complexity and memory demands while maintaining generalization performance.Additionally,since the collected data...In the realm of large-scale machine learning,it is crucial to explore methods for reducing computational complexity and memory demands while maintaining generalization performance.Additionally,since the collected data may contain some sensitive information,it is also of great significance to study privacy-preserving machine learning algorithms.This paper focuses on the performance of the differentially private stochastic gradient descent(SGD)algorithm based on random features.To begin,the algorithm maps the original data into a lowdimensional space,thereby avoiding the traditional kernel method for large-scale data storage requirement.Subsequently,the algorithm iteratively optimizes parameters using the stochastic gradient descent approach.Lastly,the output perturbation mechanism is employed to introduce random noise,ensuring algorithmic privacy.We prove that the proposed algorithm satisfies the differential privacy while achieving fast convergence rates under some mild conditions.展开更多
Complementary-label learning(CLL)aims at finding a classifier via samples with complementary labels.Such data is considered to contain less information than ordinary-label samples.The transition matrix between the tru...Complementary-label learning(CLL)aims at finding a classifier via samples with complementary labels.Such data is considered to contain less information than ordinary-label samples.The transition matrix between the true label and the complementary label,and some loss functions have been developed to handle this problem.In this paper,we show that CLL can be transformed into ordinary classification under some mild conditions,which indicates that the complementary labels can supply enough information in most cases.As an example,an extensive misclassification error analysis was performed for the Kernel Ridge Regression(KRR)method applied to multiple complementary-label learning(MCLL),which demonstrates its superior performance compared to existing approaches.展开更多
This study introduces a pre-orthogonal adaptive Fourier decomposition(POAFD)to obtain approximations and numerical solutions to the fractional Laplacian initial value problem and the extension problem of Caffarelli an...This study introduces a pre-orthogonal adaptive Fourier decomposition(POAFD)to obtain approximations and numerical solutions to the fractional Laplacian initial value problem and the extension problem of Caffarelli and Silvestre(generalized Poisson equation).As a first step,the method expands the initial data function into a sparse series of the fundamental solutions with fast convergence,and,as a second step,makes use of the semigroup or the reproducing kernel property of each of the expanding entries.Experiments show the effectiveness and efficiency of the proposed series solutions.展开更多
This work develops a Hermitian C^(2) differential reproducing kernel interpolation meshless(DRKIM)method within the consistent couple stress theory(CCST)framework to study the three-dimensional(3D)microstructuredepend...This work develops a Hermitian C^(2) differential reproducing kernel interpolation meshless(DRKIM)method within the consistent couple stress theory(CCST)framework to study the three-dimensional(3D)microstructuredependent static flexural behavior of a functionally graded(FG)microplate subjected to mechanical loads and placed under full simple supports.In the formulation,we select the transverse stress and displacement components and their first-and second-order derivatives as primary variables.Then,we set up the differential reproducing conditions(DRCs)to obtain the shape functions of the Hermitian C^(2) differential reproducing kernel(DRK)interpolant’s derivatives without using direct differentiation.The interpolant’s shape function is combined with a primitive function that possesses Kronecker delta properties and an enrichment function that constituents DRCs.As a result,the primary variables and their first-and second-order derivatives satisfy the nodal interpolation properties.Subsequently,incorporating ourHermitianC^(2)DRKinterpolant intothe strong formof the3DCCST,we develop a DRKIM method to analyze the FG microplate’s 3D microstructure-dependent static flexural behavior.The Hermitian C^(2) DRKIM method is confirmed to be accurate and fast in its convergence rate by comparing the solutions it produces with the relevant 3D solutions available in the literature.Finally,the impact of essential factors on the transverse stresses,in-plane stresses,displacements,and couple stresses that are induced in the loaded microplate is examined.These factors include the length-to-thickness ratio,the material length-scale parameter,and the inhomogeneity index,which appear to be significant.展开更多
The conditional kernel correlation is proposed to measure the relationship between two random variables under covariates for multivariate data.Relying on the framework of reproducing kernel Hilbert spaces,we give the ...The conditional kernel correlation is proposed to measure the relationship between two random variables under covariates for multivariate data.Relying on the framework of reproducing kernel Hilbert spaces,we give the definitions of the conditional kernel covariance and conditional kernel correlation.We also provide their respective sample estimators and give the asymptotic properties,which help us construct a conditional independence test.According to the numerical results,the proposed test is more effective compared to the existing one under the considered scenarios.A real data is further analyzed to illustrate the efficacy of the proposed method.展开更多
Background:The assessment of endothelial function is crucial for understanding cardiovascular disease progression.Reliable,convenient non-invasive methods are necessary for evaluating endothelial function.Peripheral a...Background:The assessment of endothelial function is crucial for understanding cardiovascular disease progression.Reliable,convenient non-invasive methods are necessary for evaluating endothelial function.Peripheral arterial vol-ume(PAV),measured at the fingertip,is a novel approach for which limited reproducibility data are available.Hence,this study was aimed at evaluating PAV measurement reproducibility in a clinical setting.Method:A total of 152 consecutive patients(average age 55.8±12.3 years,83 men)with chest pain were included in the study.PAV tests were conducted on the same day.The amplitude ratio before and after application of pressure,along with the reference ratio,were recorded to calculate the PAV.Medical baseline data for these patients were gath-ered from the hospital’s records.Result:On test days,the PAV results from repeated measurements were 1.15±0.33 and 1.15±0.31(P=0.99),indi-cating no significant difference between measurements in all participants.The mean difference was 0.00±0.32,thus indicating no systematic errors,and the intraclass correlation coefficient was 0.66.Furthermore,age,sex,and BMI did not influence PAV reproducibility.Conclusion:PAV measurement is feasible and exhibited excellent reproducibility among all enrolled patients.As a novel fingertip measurement,PAV has promise as a convenient and accurate method for assessing endothelial function in adults.展开更多
We provide a kernel-regularized method to give theory solutions for Neumann boundary value problem on the unit ball. We define the reproducing kernel Hilbert space with the spherical harmonics associated with an inner...We provide a kernel-regularized method to give theory solutions for Neumann boundary value problem on the unit ball. We define the reproducing kernel Hilbert space with the spherical harmonics associated with an inner product defined on both the unit ball and the unit sphere, construct the kernel-regularized learning algorithm from the view of semi-supervised learning and bound the upper bounds for the learning rates. The theory analysis shows that the learning algorithm has better uniform convergence according to the number of samples. The research can be regarded as an application of kernel-regularized semi-supervised learning.展开更多
The relationship among Mercer kernel, reproducing kernel and positive definite kernel in support vector machine （SVM） is proved and their roles in SVM are discussed. The quadratic form of the kernel matrix is used t...The relationship among Mercer kernel, reproducing kernel and positive definite kernel in support vector machine （SVM） is proved and their roles in SVM are discussed. The quadratic form of the kernel matrix is used to confirm the positive definiteness and their construction. Based on the Bochner theorem, some translation invariant kernels are checked in their Fourier domain. Some rotation invariant radial kernels are inspected according to the Schoenberg theorem. Finally, the construction of discrete scaling and wavelet kernels, the kernel selection and the kernel parameter learning are discussed.展开更多
(an original scientific journal published monthly in English in two volumes,twelve issues per year.Published since 1982)Published monthly in hard copy by Chinese Physical Society and online by IOP Publishing.Temple Ci...(an original scientific journal published monthly in English in two volumes,twelve issues per year.Published since 1982)Published monthly in hard copy by Chinese Physical Society and online by IOP Publishing.Temple Circus.Temple Way.Bristol BS1 6HG.UK.International Institutional subscription information:2014 volume For international subscription information for 2014 please contact the Journals Subscription Fulfilment Department on cust.servSiop.org展开更多
A collision model, an automobile model and a multi-rigid-body model in PC-crash are analyzed. By simulating a side collision accident between a car and an electric bicycle (EB), a method that reproduces the car-electr...A collision model, an automobile model and a multi-rigid-body model in PC-crash are analyzed. By simulating a side collision accident between a car and an electric bicycle (EB), a method that reproduces the car-electric bicycle side collision accident based on PC-crash is presented according to some important information such as the final position, the contacting location between the cyclist and the car. A result is obtained by comparing with the reproduced result, the deformation of accident vehicle and the surveillance video. The rollover direction and fells-over sliding direction after the collision and the contacting location and wrap motion of cyclist and electric bicycle are fitting in with the real situation better compared with the reconstruction result in PC-crash. Then the responsive-surface method and MONTEKARLO method are used in MATLAB to analyze the uncertainty of the vehicle speed in reproduced scene results. And the range of values of the pre-collision speed is obtained which makes the reproduced result more objective and convincible that could provide the basis of the accident assessment.展开更多
Dear Editor,Transposable phages,which are reproduced by transposition(Harshey,2012;Taylor,1963),have been widely applied in the field of biotechnology to manipulate operon/gene fusions,in vivo cloning,randomion mutage...Dear Editor,Transposable phages,which are reproduced by transposition(Harshey,2012;Taylor,1963),have been widely applied in the field of biotechnology to manipulate operon/gene fusions,in vivo cloning,randomion mutagenesis,and integration of DNA into bacterial genomes(Abalakina et al.,2008;Akhverdyan et al.,2011).One of the best-studied transposable phages is展开更多
Firstly,the relationship between the accuracy of low altitude aerial photogrammetry and the field angle of camera is made by a quantitative analysis from the theory.The conclusion that the low altitude photogrammetry ...Firstly,the relationship between the accuracy of low altitude aerial photogrammetry and the field angle of camera is made by a quantitative analysis from the theory.The conclusion that the low altitude photogrammetry should use wide-angle camera as much as possible is done.Then,the limitation of the single lens camera to expand field angle and the combined wide-angle camera existing on the market not suitable for light load of low altitude UAV(Unmanned Aerial Vehicle)due to excessive weight are pointed out.The characteristics of combined wide-angle low altitude light camera with self-calibration and self-stabilization developed by the author are described,especially the principle of self-calibration for the combination of static error and dynamic error.Based on the practice of large scale mapping,a technical procedure in aerial photography by taking with wide-angle camera and large overlap simultaneously for improving the accuracy of low altitude photogrammetry is proposed.The typical engineering produced data is used to verity the above theoretical analysis.A technical route for increasing accuracy of low altitude photogrammetry with combined wide-angle camera is expounded.展开更多
文摘The essence of prose lies in expressing meaning and feeling of the prose, describing things and reasoning in real,plain and direct way, which is referred as its natural character. What the prose requires is to strive to make equivalence in the meaning, forms, taste, style and other aspects with the original text. What the prose express is not only the thematic meaning but also the stylistic meaning, in other words, the meaning that was contained in the content and forms. Hilaire Belloc, a famous prolific writer and historian, have formulated the six principles in translation of prose, in which he believes that the essence of translating is the resurrection of an alien thing in a native body.
文摘The objective of the present work was to obtain pure ovine reproducers.Starting 2010 work began with the sheep herd of the Faculty of Veterinary Medicine and Animal Science of the Universidad Autónoma de Guerrero,located in the municipality of Pungarabato,Guerrero State,México.The faculty is 250 meters above sea level.The climate of the region is warm subhumid,with average temperature between 24 and 30°C,but in the heat season maximum temperatures up to 46°down in the shade.The rainfall regimen is 800-1,200 mm of rainfall per year.The production of sheep in Mexico is characterized mainly by creole animals and crosses are made with pure breeds imported from several European countries and USA.Therefore,there is a need to form local breeds adapted to the climatic conditions and production systems of Mexico.The sheep herd initially had 100 animal of hair,with 70 sheep with their lambs and a reproducer.These animals had phenotype Pelibuey,Black Belly,Doper and Katahdin.As of May 2010,consanguineous crosses were established.During this period the parameters were registered:date and type of birth,weight and sex of the newborn.Data on BW(Birth Weight)of males and females were analyzed by ANOVA(Analysis of Variance)and multiple comparison test was used for the comparison of means(Duncan,1955),with a significance level of P<0.05.The first reproducer was brown tobacco and had antlers,and the females had different phenotypes.Up to the present time,there are twenty studs with their respective descendants,and year 2019 the herd has 100 animals light brown and tobacco with their lambs(30),and a reproducer.The sheep are of medium size with 45 and 60 kg of average weight in females and male,respectively.Out of a total of 326 females and 335 males born,with an average weight of 2.62 kg at birth and a proliferative index of 1.41,20 MEVEZUG males were selected to be used as reproducers in 20 herds distributed in different sheep production units of the state of Guerrero.From the crosses of these breeders to the females of these herds,F1 animals(MEVEZUG×Criollo)are obtained.The sheep of different color to light brown or tobacco are discarded for the supply;the males are fed for the fodder in native meadows with irrigation with 95.17±19.45 g of daily gain of weight.In 2016,the trademark MEVEZUG was registered.It is concluded that to date the color of the breed has been fixed in females and males,which is light brown and tobacco brown,the registered productive indexes are acceptable and work will be continued to improve size and productive indexes,through selection of the best sheep.
基金Supported by Sichuan Science and Technology Program (No.2022ZYD0010)。
文摘The aim of the present paper is to study 2-complex symmetric bounded weighted composition operators on the Fock space of C^(N) with the conjugations J and J_(t,A,b) defined by ■ respectively,where k(z_(1),...,z_N)=(■,...,■),t∈C,b∈C^(N) and A is a linear operator on C^(N).An example of 2-complex symmetric bounded weighted composition operator with the conjugation J_(t,A,b) is given.
文摘Reproducibility is a key aspect of the scientific method as it provides evidence for research claims. It is essential to promote openness, accessibility, and collaboration within the scientific community. This article aims to provide an introduction to best practices in reproducibility that are relevant to the transportation research community, to discuss issues and barriers to reproducibility, and to describe methods for addressing these issues. This article starts by discussing openness and transparency, then discusses several key best practices for reproducibility in transportation engineering, highlighting common methods and techniques, as well as the associated benefits. The paper concludes with a discussion of the key barriers to implementing reproducibility practices in transportation research and potential solutions. The barriers include existing culture and attitudes, data sensitivity, insufficient methodological detail, lack of code sharing, limited validation, additional time and research burden, and skill and knowledge gaps. Discussing each of these items provides an opportunity for the transportation research community to evolve to become one that embraces the openness and transparency of reproducibility.
基金supported by the Swedish Research Council(VR)under grant number 2020-05044by the research environment grant"Gravitational Radiation and Electromagnetic Astrophysical Transients"(GREAT)funded by the Swedish Research Council(VR)under Dnr 2016-06012+2 种基金by the Knut and Alice Wallenberg Foundation under grant Dnr.KAW 2019.0112by the Deutsche Forschungsgemeinschaft(DFG,German Research Foundation)under Germany's Excellence Strategy-EXC 2121"Quantum Universe"-390833306by the European Research Council(ERC)Advanced Grant INSPIRATION under the European Union's Horizon 2020 Research and Innovation Programme(Grant agreement No.101053985).
文摘We present and explore a new shock-capturing particle hydrodynamics approach.Our starting point is a commonly used discretization of smoothed particle hydrodynamics.We enhance this discretization with Roe’s approx-imate Riemann solver,we identify its dissipative terms,and in these terms,we use slope-limited linear reconstruction.All gradients needed for our method are calculated with linearly reproducing kernels that are constructed to enforce the two lowest-order consistency relations.We scrutinize our reproducing kernel implementation carefully on a“glass-like”particle distribution,and we find that constant and linear functions are recovered to machine precision.We probe our method in a series of challenging 3D benchmark problems ranging from shocks over instabilities to Schulz-Rinne-type vorticity-creating shocks.All of our simulations show excellent agreement with analytic/reference solutions.
基金Reggie Ridlen has been supported by an Australian Government Research Training Program (RTP) scholarshipand funded by the University of Technology,Sydney
文摘Background:Spinal cord injury presents a significant burden globally,with traumatic spinal cord injury being the predominant cause historically.However,nontraumatic spinal cord injury(NTSCI)is emerging as a significant contributor,particularly in devel-oped nations,yet it remains poorly understood due to underreporting and misclassifi-cation.NTSCI,spanning various etiologies such as bony growths,vascular conditions,infections,neoplastic conditions,and immune disorders,poses unique challenges in diagnosis and treatment,often resulting in lifelong morbidity.This study addresses the lack of suitable animal models for NTSCI research,especially in neonatal animals.Methods:Utilizing a solid spacer approach,we developed a compression NTSCI model applicable to both neonatal and adult Sprague-Dawley rats.Results:Through anatomical measurements and in vivo experiments,we confirmed the feasibility and safety of the spacer insertion procedure and observed no acute off-target effects.Conclusion:The versatility of this model lies in its adaptability to different ages of rats,offering a cost-effective and reproducible means to induce graded injuries.Moreover,behavioral assessments demonstrated observable hindlimb function,validating the model's utility for studying functional outcomes.Although challenges persist,par-ticularly in accounting for spinal column growth in neonatal animals,this model fills a crucial gap in pediatric NTSCI research.By providing a platform to investigate patho-physiological mechanisms and test potential treatments,it offers promising avenues for advancing our understanding and management of pediatric NTSCI.
基金supported by Zhejiang Provincial Natural Science Foundation of China(LR20A010001)National Natural Science Foundation of China(12271473 and U21A20426)。
文摘In the realm of large-scale machine learning,it is crucial to explore methods for reducing computational complexity and memory demands while maintaining generalization performance.Additionally,since the collected data may contain some sensitive information,it is also of great significance to study privacy-preserving machine learning algorithms.This paper focuses on the performance of the differentially private stochastic gradient descent(SGD)algorithm based on random features.To begin,the algorithm maps the original data into a lowdimensional space,thereby avoiding the traditional kernel method for large-scale data storage requirement.Subsequently,the algorithm iteratively optimizes parameters using the stochastic gradient descent approach.Lastly,the output perturbation mechanism is employed to introduce random noise,ensuring algorithmic privacy.We prove that the proposed algorithm satisfies the differential privacy while achieving fast convergence rates under some mild conditions.
基金Supported by the Indigenous Innovation’s Capability Development Program of Huizhou University(HZU202003,HZU202020)Natural Science Foundation of Guangdong Province(2022A1515011463)+2 种基金the Project of Educational Commission of Guangdong Province(2023ZDZX1025)National Natural Science Foundation of China(12271473)Guangdong Province’s 2023 Education Science Planning Project(Higher Education Special Project)(2023GXJK505)。
文摘Complementary-label learning(CLL)aims at finding a classifier via samples with complementary labels.Such data is considered to contain less information than ordinary-label samples.The transition matrix between the true label and the complementary label,and some loss functions have been developed to handle this problem.In this paper,we show that CLL can be transformed into ordinary classification under some mild conditions,which indicates that the complementary labels can supply enough information in most cases.As an example,an extensive misclassification error analysis was performed for the Kernel Ridge Regression(KRR)method applied to multiple complementary-label learning(MCLL),which demonstrates its superior performance compared to existing approaches.
基金supported by the Science and Technology Development Fund of Macao SAR(FDCT0128/2022/A,0020/2023/RIB1,0111/2023/AFJ,005/2022/ALC)the Shandong Natural Science Foundation of China(ZR2020MA004)+2 种基金the National Natural Science Foundation of China(12071272)the MYRG 2018-00168-FSTZhejiang Provincial Natural Science Foundation of China(LQ23A010014).
文摘This study introduces a pre-orthogonal adaptive Fourier decomposition(POAFD)to obtain approximations and numerical solutions to the fractional Laplacian initial value problem and the extension problem of Caffarelli and Silvestre(generalized Poisson equation).As a first step,the method expands the initial data function into a sparse series of the fundamental solutions with fast convergence,and,as a second step,makes use of the semigroup or the reproducing kernel property of each of the expanding entries.Experiments show the effectiveness and efficiency of the proposed series solutions.
基金supported by a grant from the National Science and Technology Council of the Republic of China(Grant Number:MOST 112-2221-E-006-048-MY2).
文摘This work develops a Hermitian C^(2) differential reproducing kernel interpolation meshless(DRKIM)method within the consistent couple stress theory(CCST)framework to study the three-dimensional(3D)microstructuredependent static flexural behavior of a functionally graded(FG)microplate subjected to mechanical loads and placed under full simple supports.In the formulation,we select the transverse stress and displacement components and their first-and second-order derivatives as primary variables.Then,we set up the differential reproducing conditions(DRCs)to obtain the shape functions of the Hermitian C^(2) differential reproducing kernel(DRK)interpolant’s derivatives without using direct differentiation.The interpolant’s shape function is combined with a primitive function that possesses Kronecker delta properties and an enrichment function that constituents DRCs.As a result,the primary variables and their first-and second-order derivatives satisfy the nodal interpolation properties.Subsequently,incorporating ourHermitianC^(2)DRKinterpolant intothe strong formof the3DCCST,we develop a DRKIM method to analyze the FG microplate’s 3D microstructure-dependent static flexural behavior.The Hermitian C^(2) DRKIM method is confirmed to be accurate and fast in its convergence rate by comparing the solutions it produces with the relevant 3D solutions available in the literature.Finally,the impact of essential factors on the transverse stresses,in-plane stresses,displacements,and couple stresses that are induced in the loaded microplate is examined.These factors include the length-to-thickness ratio,the material length-scale parameter,and the inhomogeneity index,which appear to be significant.
基金partially supported by Knowledge Innovation Program of Hubei Province(No.2019CFB810)partially supported by NSFC(No.12325110)the CAS Project for Young Scientists in Basic Research(No.YSBR-034)。
文摘The conditional kernel correlation is proposed to measure the relationship between two random variables under covariates for multivariate data.Relying on the framework of reproducing kernel Hilbert spaces,we give the definitions of the conditional kernel covariance and conditional kernel correlation.We also provide their respective sample estimators and give the asymptotic properties,which help us construct a conditional independence test.According to the numerical results,the proposed test is more effective compared to the existing one under the considered scenarios.A real data is further analyzed to illustrate the efficacy of the proposed method.
基金funding from the Excellent Youth Foundation of Science and Technology of Jilin Province(No.20180520054JH)the“13th Five-Year”Science Project of Jilin Province Education Department(No.JJKH20190062KJ).
文摘Background:The assessment of endothelial function is crucial for understanding cardiovascular disease progression.Reliable,convenient non-invasive methods are necessary for evaluating endothelial function.Peripheral arterial vol-ume(PAV),measured at the fingertip,is a novel approach for which limited reproducibility data are available.Hence,this study was aimed at evaluating PAV measurement reproducibility in a clinical setting.Method:A total of 152 consecutive patients(average age 55.8±12.3 years,83 men)with chest pain were included in the study.PAV tests were conducted on the same day.The amplitude ratio before and after application of pressure,along with the reference ratio,were recorded to calculate the PAV.Medical baseline data for these patients were gath-ered from the hospital’s records.Result:On test days,the PAV results from repeated measurements were 1.15±0.33 and 1.15±0.31(P=0.99),indi-cating no significant difference between measurements in all participants.The mean difference was 0.00±0.32,thus indicating no systematic errors,and the intraclass correlation coefficient was 0.66.Furthermore,age,sex,and BMI did not influence PAV reproducibility.Conclusion:PAV measurement is feasible and exhibited excellent reproducibility among all enrolled patients.As a novel fingertip measurement,PAV has promise as a convenient and accurate method for assessing endothelial function in adults.
文摘We provide a kernel-regularized method to give theory solutions for Neumann boundary value problem on the unit ball. We define the reproducing kernel Hilbert space with the spherical harmonics associated with an inner product defined on both the unit ball and the unit sphere, construct the kernel-regularized learning algorithm from the view of semi-supervised learning and bound the upper bounds for the learning rates. The theory analysis shows that the learning algorithm has better uniform convergence according to the number of samples. The research can be regarded as an application of kernel-regularized semi-supervised learning.
基金Supported by the National Natural Science Foundation of China(60473035)~~
文摘The relationship among Mercer kernel, reproducing kernel and positive definite kernel in support vector machine （SVM） is proved and their roles in SVM are discussed. The quadratic form of the kernel matrix is used to confirm the positive definiteness and their construction. Based on the Bochner theorem, some translation invariant kernels are checked in their Fourier domain. Some rotation invariant radial kernels are inspected according to the Schoenberg theorem. Finally, the construction of discrete scaling and wavelet kernels, the kernel selection and the kernel parameter learning are discussed.
文摘(an original scientific journal published monthly in English in two volumes,twelve issues per year.Published since 1982)Published monthly in hard copy by Chinese Physical Society and online by IOP Publishing.Temple Circus.Temple Way.Bristol BS1 6HG.UK.International Institutional subscription information:2014 volume For international subscription information for 2014 please contact the Journals Subscription Fulfilment Department on cust.servSiop.org
文摘A collision model, an automobile model and a multi-rigid-body model in PC-crash are analyzed. By simulating a side collision accident between a car and an electric bicycle (EB), a method that reproduces the car-electric bicycle side collision accident based on PC-crash is presented according to some important information such as the final position, the contacting location between the cyclist and the car. A result is obtained by comparing with the reproduced result, the deformation of accident vehicle and the surveillance video. The rollover direction and fells-over sliding direction after the collision and the contacting location and wrap motion of cyclist and electric bicycle are fitting in with the real situation better compared with the reconstruction result in PC-crash. Then the responsive-surface method and MONTEKARLO method are used in MATLAB to analyze the uncertainty of the vehicle speed in reproduced scene results. And the range of values of the pre-collision speed is obtained which makes the reproduced result more objective and convincible that could provide the basis of the accident assessment.
基金supported by the National Basic Research Program(973 Program)of China(2014CB745100)the National Key Technologies R&D Program of China(2012AA022101)
文摘Dear Editor,Transposable phages,which are reproduced by transposition(Harshey,2012;Taylor,1963),have been widely applied in the field of biotechnology to manipulate operon/gene fusions,in vivo cloning,randomion mutagenesis,and integration of DNA into bacterial genomes(Abalakina et al.,2008;Akhverdyan et al.,2011).One of the best-studied transposable phages is
文摘Firstly,the relationship between the accuracy of low altitude aerial photogrammetry and the field angle of camera is made by a quantitative analysis from the theory.The conclusion that the low altitude photogrammetry should use wide-angle camera as much as possible is done.Then,the limitation of the single lens camera to expand field angle and the combined wide-angle camera existing on the market not suitable for light load of low altitude UAV(Unmanned Aerial Vehicle)due to excessive weight are pointed out.The characteristics of combined wide-angle low altitude light camera with self-calibration and self-stabilization developed by the author are described,especially the principle of self-calibration for the combination of static error and dynamic error.Based on the practice of large scale mapping,a technical procedure in aerial photography by taking with wide-angle camera and large overlap simultaneously for improving the accuracy of low altitude photogrammetry is proposed.The typical engineering produced data is used to verity the above theoretical analysis.A technical route for increasing accuracy of low altitude photogrammetry with combined wide-angle camera is expounded.
