We present a large deviation theory that characterizes the exponential estimate for rare events in stochastic dynamical systems in the limit of weak noise.We aim to consider a next-to-leading-order approximation for m...We present a large deviation theory that characterizes the exponential estimate for rare events in stochastic dynamical systems in the limit of weak noise.We aim to consider a next-to-leading-order approximation for more accurate calculation of the mean exit time by computing large deviation prefactors with the aid of machine learning.More specifically,we design a neural network framework to compute quasipotential,most probable paths and prefactors based on the orthogonal decomposition of a vector field.We corroborate the higher effectiveness and accuracy of our algorithm with two toy models.Numerical experiments demonstrate its powerful functionality in exploring the internal mechanism of rare events triggered by weak random fluctuations.展开更多
Letλ=(λ_(1),…,λ_(n))beβ-Jacobi ensembles with parameters p_(1),p_(2),n andβ,withβvarying with n.Set■.Suppose that■and 0≤σγ<1.We offer the large deviation for p_(1)+p_(2)/p_(1)■λ_(i)whenγ>0 via the...Letλ=(λ_(1),…,λ_(n))beβ-Jacobi ensembles with parameters p_(1),p_(2),n andβ,withβvarying with n.Set■.Suppose that■and 0≤σγ<1.We offer the large deviation for p_(1)+p_(2)/p_(1)■λ_(i)whenγ>0 via the large deviation of the corresponding empirical measure and via a direct estimate,respectively,whenγ=0.展开更多
A novel lattice hydrodynamic model is proposed by integrating the cooperative deviation of density and optimal flux under vehicle to X(V2X) environment. According to the theoretical analysis, the stability conditions ...A novel lattice hydrodynamic model is proposed by integrating the cooperative deviation of density and optimal flux under vehicle to X(V2X) environment. According to the theoretical analysis, the stability conditions and the mKdV equations affected by the cooperative deviation of traffic information are explored. And the density wave, hysteresis loop and energy consumption of the traffic flow have been investigated via numerical simulation. The results indicate that the cooperative deviation of density and optimal flux can effectively alleviate the traffic congestion. More importantly, our new consideration can reduce fuel consumption and exhaust emission under the V2X environment.展开更多
Background:Colon adenocarcinoma(COAD)is the second leading cause of cancer death worldwide thus,identification of COAD biomarkers is critical.Mitotic Arrest Deficient 2 Like 2(MAD2L2)is a key factor in mammalian DNA d...Background:Colon adenocarcinoma(COAD)is the second leading cause of cancer death worldwide thus,identification of COAD biomarkers is critical.Mitotic Arrest Deficient 2 Like 2(MAD2L2)is a key factor in mammalian DNA damage repair and is highly expressed in many malignant tumors.This is a comprehensive study of MAD2L2 expression,its diagnostic value,prognostic analysis,potential biological function,and impact on the immune system of patients with COAD.Methods:Gene expression,clinical relevance,prognostic analysis,diagnostic value,GO/KEGG cluster analysis,data obtained from TCGA,and bioinformatics statistical analysis were performed using the R package.Immune responses to MAD2L2 expression in COAD were analyzed using TIMER.The expression of MAD2L2 in HCT116 cells induced by the inflammatory factor TNF-αwas detected using Western blot.Results:Our results underscore the clinical diagnostic value and potential biological significance of MAD2L2 in patients with COAD.A high level of MAD2L2 expression has been found in COAD and correlated with tumor status and colon polyps.ROC curve analysis showed that MAD2L2 expression has high diagnostic value in COAD.Analysis of immune infiltration results showed that MAD2L2 expression was positively correlated with neutrophil levels.The western blot results demonstrated that MAD2L2 was dose-dependently present with TNF-α.GO/KEGG revealed that MAD2L2 overexpressed and coexpressed genes were mostly involved in biological functions,including hypoxia response,response to reduced oxygen levels,mitochondrial translation elongation,and other processes.Conclusion:MAD2L2 as a new COAD biomarker contributes to our understanding of how alterations in gene expression and the immunological environment contribute to the development of colon cancer.Following further investigation,MAD2L2 may prove to be a viable target factor for clinical diagnosis and therapy of COAD.展开更多
The present work evaluated the deviations in the quality of steel reinforcing bars in terms of markings, diameter, yield strength and ductility in order to facilitate the drawing up of a yield strength value for the C...The present work evaluated the deviations in the quality of steel reinforcing bars in terms of markings, diameter, yield strength and ductility in order to facilitate the drawing up of a yield strength value for the Cameroon National Annex to Eurocode 2. The methodology of the work started with the collection of steel samples from various active building project sites in four different towns viz: Bamenda, Douala, Maroua and Yaoundé and testing their tensile strength and elongation using a Universal Testing Machine and also carrying out the bending test. Results show that bars without marked manufacturer’s name fell all the tests. Other results show that 52% of all the steel had yield stresses below 400 Mpa and the highest deviation in the yield strengths was 22.50%. The study recommends that properly marked grade 500 steel bars should be adopted in the Cameroon national annex to Eurocode 2.展开更多
In this paper,we establish a large deviation principle for the stochastic generalized Ginzburg-Landau equation driven by jump noise.The main difficulties come from the highly non-linear coefficient and the jump noise....In this paper,we establish a large deviation principle for the stochastic generalized Ginzburg-Landau equation driven by jump noise.The main difficulties come from the highly non-linear coefficient and the jump noise.Here,we adopt a new sufficient condition for the weak convergence criterion of the large deviation principle,which was initially proposed by Matoussi,Sabbagh and Zhang(2021).展开更多
Froude similitude and friction similitude are the two crucial similarity conditions that are often used in physical-scale modeling of rivers.However,models often deviate from Froude similitude when dealing with real-w...Froude similitude and friction similitude are the two crucial similarity conditions that are often used in physical-scale modeling of rivers.However,models often deviate from Froude similitude when dealing with real-world situations.This study developed several fixed-bed river models with various curvatures to determine the effect of Froude similitude deviation on curved channel modeling.Models were constructed according to the characteristics of the Middle Yangtze River.Differences in longitudinal slope,transverse slope,and main stream line location were measured by varying Froude similitude deviation.The deviations of longitudinal slope and velocity were negligible because friction similitude was accounted for.The transverse slope varied significantly with the Froude similitude deviation,and the main stream line varied with the curvature and Froude similitude deviation.Formulae were derived to estimate the slope deviation.These analyses helped to clarify the feasibility of the method of Froude similitude deviation for curved channels.展开更多
基金Project supported by the Natural Science Foundation of Jiangsu Province (Grant No.BK20220917)the National Natural Science Foundation of China (Grant Nos.12001213 and 12302035)。
文摘We present a large deviation theory that characterizes the exponential estimate for rare events in stochastic dynamical systems in the limit of weak noise.We aim to consider a next-to-leading-order approximation for more accurate calculation of the mean exit time by computing large deviation prefactors with the aid of machine learning.More specifically,we design a neural network framework to compute quasipotential,most probable paths and prefactors based on the orthogonal decomposition of a vector field.We corroborate the higher effectiveness and accuracy of our algorithm with two toy models.Numerical experiments demonstrate its powerful functionality in exploring the internal mechanism of rare events triggered by weak random fluctuations.
基金supported by the NSFC (12171038,11871008)985 Projects.
文摘Letλ=(λ_(1),…,λ_(n))beβ-Jacobi ensembles with parameters p_(1),p_(2),n andβ,withβvarying with n.Set■.Suppose that■and 0≤σγ<1.We offer the large deviation for p_(1)+p_(2)/p_(1)■λ_(i)whenγ>0 via the large deviation of the corresponding empirical measure and via a direct estimate,respectively,whenγ=0.
基金Project supported by the National Natural Science Foundation of China (Grant No.61963008)Guangxi Natural Science Foundation (Grant No.2022GXNSFDA035080)+1 种基金Guangxi Innovation-Driven Development Special Fund Project (Grant No.GUIKEAA19254034-3)Doctor Scientific Research Startup Project Foundation of Guangxi Normal University,China (Grant No.2018BQ007)。
文摘A novel lattice hydrodynamic model is proposed by integrating the cooperative deviation of density and optimal flux under vehicle to X(V2X) environment. According to the theoretical analysis, the stability conditions and the mKdV equations affected by the cooperative deviation of traffic information are explored. And the density wave, hysteresis loop and energy consumption of the traffic flow have been investigated via numerical simulation. The results indicate that the cooperative deviation of density and optimal flux can effectively alleviate the traffic congestion. More importantly, our new consideration can reduce fuel consumption and exhaust emission under the V2X environment.
基金supported by the Ningxia Hui Autonomous Region Key Research and Development Program(Grant No.2021BEG03084).
文摘Background:Colon adenocarcinoma(COAD)is the second leading cause of cancer death worldwide thus,identification of COAD biomarkers is critical.Mitotic Arrest Deficient 2 Like 2(MAD2L2)is a key factor in mammalian DNA damage repair and is highly expressed in many malignant tumors.This is a comprehensive study of MAD2L2 expression,its diagnostic value,prognostic analysis,potential biological function,and impact on the immune system of patients with COAD.Methods:Gene expression,clinical relevance,prognostic analysis,diagnostic value,GO/KEGG cluster analysis,data obtained from TCGA,and bioinformatics statistical analysis were performed using the R package.Immune responses to MAD2L2 expression in COAD were analyzed using TIMER.The expression of MAD2L2 in HCT116 cells induced by the inflammatory factor TNF-αwas detected using Western blot.Results:Our results underscore the clinical diagnostic value and potential biological significance of MAD2L2 in patients with COAD.A high level of MAD2L2 expression has been found in COAD and correlated with tumor status and colon polyps.ROC curve analysis showed that MAD2L2 expression has high diagnostic value in COAD.Analysis of immune infiltration results showed that MAD2L2 expression was positively correlated with neutrophil levels.The western blot results demonstrated that MAD2L2 was dose-dependently present with TNF-α.GO/KEGG revealed that MAD2L2 overexpressed and coexpressed genes were mostly involved in biological functions,including hypoxia response,response to reduced oxygen levels,mitochondrial translation elongation,and other processes.Conclusion:MAD2L2 as a new COAD biomarker contributes to our understanding of how alterations in gene expression and the immunological environment contribute to the development of colon cancer.Following further investigation,MAD2L2 may prove to be a viable target factor for clinical diagnosis and therapy of COAD.
文摘The present work evaluated the deviations in the quality of steel reinforcing bars in terms of markings, diameter, yield strength and ductility in order to facilitate the drawing up of a yield strength value for the Cameroon National Annex to Eurocode 2. The methodology of the work started with the collection of steel samples from various active building project sites in four different towns viz: Bamenda, Douala, Maroua and Yaoundé and testing their tensile strength and elongation using a Universal Testing Machine and also carrying out the bending test. Results show that bars without marked manufacturer’s name fell all the tests. Other results show that 52% of all the steel had yield stresses below 400 Mpa and the highest deviation in the yield strengths was 22.50%. The study recommends that properly marked grade 500 steel bars should be adopted in the Cameroon national annex to Eurocode 2.
基金partially supported by the National Natural Science Foundation of China(11871382,12071361)partially supported by the National Natural Science Foundation of China(11971361,11731012)。
文摘In this paper,we establish a large deviation principle for the stochastic generalized Ginzburg-Landau equation driven by jump noise.The main difficulties come from the highly non-linear coefficient and the jump noise.Here,we adopt a new sufficient condition for the weak convergence criterion of the large deviation principle,which was initially proposed by Matoussi,Sabbagh and Zhang(2021).
基金supported by the Project of Subsequent Work of the Three Gorges Project(Grant No.SXHXGZ-2020-3).
文摘Froude similitude and friction similitude are the two crucial similarity conditions that are often used in physical-scale modeling of rivers.However,models often deviate from Froude similitude when dealing with real-world situations.This study developed several fixed-bed river models with various curvatures to determine the effect of Froude similitude deviation on curved channel modeling.Models were constructed according to the characteristics of the Middle Yangtze River.Differences in longitudinal slope,transverse slope,and main stream line location were measured by varying Froude similitude deviation.The deviations of longitudinal slope and velocity were negligible because friction similitude was accounted for.The transverse slope varied significantly with the Froude similitude deviation,and the main stream line varied with the curvature and Froude similitude deviation.Formulae were derived to estimate the slope deviation.These analyses helped to clarify the feasibility of the method of Froude similitude deviation for curved channels.
