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arXivFluctuations of stochastic PDEs with longrange correlations Luca Gerolla, Martin Hairer, XueMei Li... more(3) 20230317 We study the large scale fluctuations of the solution of a nonlinear stochastic heat equation (SHE) in dimensions $d \geq 3$ driven by a multiplicative Gaussian noise, white in time and coloured in space with nonintegrable spatial covariance decaying at the rate of $x^{\kappa}$, with $\kappa \in (2, d)$. Motivated by recent works on SHE and KPZ driven by noise with compactly supported spatial correlation, we show that the fluctuations converge to the solution of a stochastic heat equation with an explicit additive spatially correlated noise that has a Riesz kernel of degree $\kappa$ as its spatial covariance. The convergence of the fluctuations is shown to take place in the optimal H\"older topologies.
Subject 수학 Source arXiv URL https://arxiv.org/abs/2303.09811view Article Title Fluctuations of stochastic PDEs with longrange correlationsAuthors Luca Gerolla; Martin Hairer; XueMei LiAbstract We study the large scale fluctuations of the solution of a nonlinear stochastic heat equation (SHE) in dimensions $d \geq 3$ driven by a multiplicative Gaussian noise, white in time and coloured in space with nonintegrable spatial covariance decaying at the rate of $x^{\kappa}$, with $\kappa \in (2, d)$. Motivated by recent works on SHE and KPZ driven by noise with compactly supported spatial correlation, we show that the fluctuations converge to the solution of a stochastic heat equation with an explicit additive spatially correlated noise that has a Riesz kernel of degree $\kappa$ as its spatial covariance. The convergence of the fluctuations is shown to take place in the optimal H\"older topologies.Is Part Of 20230317 Identifier ISSN: Category math.PR mathph math.MPLicense 
arXivRandom Grid Neural Processes for Parametric Partial Differential Equations Arnaud Vadeboncoeur, Ieva Kazlauskaite, Yanni Papandreou, ... more(6) 20230126 We introduce a new class of spatially stochastic physics and data informed deep latent models for parametric partial differential equations (PDEs) which operate through scalable variational neural processes. We achieve this by assigning probability measures to the spatial domain, which allows us to treat collocation grids probabilistically as random variables to be marginalised out. Adapting this spatial statistics view, we solve forward and inverse problems for parametric PDEs in a way that leads to the construction of Gaussian process models of solution fields. The implementation of these random grids poses a unique set of challenges for inverse physics informed deep learning frameworks and we propose a new architecture called Grid Invariant Convolutional Networks (GICNets) to overcome these challenges. We further show how to incorporate noisy data in a principled manner into our physics informed model to improve predictions for problems where data may be available but whose measurement location does not coincide with any fixed mesh or grid. The proposed method is tested on a nonlinear Poisson problem, Burgers equation, and NavierStokes equations, and we provide extensive numerical comparisons. We demonstrate significant computational advantages over current physics informed neural learning methods for parametric PDEs while improving the predictive capabilities and flexibility of these models.
Subject 수학 Source arXiv URL https://arxiv.org/abs/2301.11040view Article Title Random Grid Neural Processes for Parametric Partial Differential EquationsAuthors Arnaud Vadeboncoeur; Ieva Kazlauskaite; Yanni Papandreou; Fehmi Cirak; Mark Girolami; Ömer Deniz AkyildizAbstract We introduce a new class of spatially stochastic physics and data informed deep latent models for parametric partial differential equations (PDEs) which operate through scalable variational neural processes. We achieve this by assigning probability measures to the spatial domain, which allows us to treat collocation grids probabilistically as random variables to be marginalised out. Adapting this spatial statistics view, we solve forward and inverse problems for parametric PDEs in a way that leads to the construction of Gaussian process models of solution fields. The implementation of these random grids poses a unique set of challenges for inverse physics informed deep learning frameworks and we propose a new architecture called Grid Invariant Convolutional Networks (GICNets) to overcome these challenges. We further show how to incorporate noisy data in a principled manner into our physics informed model to improve predictions for problems where data may be available but whose measurement location does not coincide with any fixed mesh or grid. The proposed method is tested on a nonlinear Poisson problem, Burgers equation, and NavierStokes equations, and we provide extensive numerical comparisons. We demonstrate significant computational advantages over current physics informed neural learning methods for parametric PDEs while improving the predictive capabilities and flexibility of these models.Is Part Of 20230126 Identifier ISSN: Category cs.LG cs.NA math.NA stat.CO stat.MLLicense 
SCOAP3Lepton mass correction in partial wave analyses of charmed meson semileptonic decays Zhang, Han, Ke, BaiCian, Yu, Yao, ... more(4) IOP 20230601 We derive a parameterization formula for the partial wave analyses of charmed meson semileptonic decays while considering the effects of lepton mass. Because the proposed supertaucharm factory will reach a significantly enhanced luminosity and BESIII is collecting new $ \psi(3770)\to D\bar{D} $ data, our results will help improve the measurement precision of future partial wave analyses of charmed meson semimuonic decays.
Subject Source SCOAP3 URL https://repo.scoap3.org/records/77212view Article Title Lepton mass correction in partial wave analyses of charmed meson semileptonic decaysAuthors Zhang, Han; Ke, BaiCian; Yu, Yao; Wang, EnAbstract We derive a parameterization formula for the partial wave analyses of charmed meson semileptonic decays while considering the effects of lepton mass. Because the proposed supertaucharm factory will reach a significantly enhanced luminosity and BESIII is collecting new $ \psi(3770)\to D\bar{D} $ data, our results will help improve the measurement precision of future partial wave analyses of charmed meson semimuonic decays.Is Part Of CPC 2023 , Vol.C47 , 063101 Identifier ISSN: DOI 10.1088/16741137/acc642Publisher IOPCategory Resources PDF: http://repo.scoap3.org/api/files/cb720cc6db304df6a16e89b5f282fbc7/10.1088/16741137/acc642.pdf

SCOAP3Nonextensive effects on QCD chiral phase diagram and baryonnumber fluctuations within PolyakovNambuJonaLasinio model Zhao, YaPeng, Wang, ChaoYong, Zuo, ShuYu, ... more(4) IOP 20230501 In this paper, a version of the PolyakovNambuJonaLasinio (PNJL) model based on nonextensive statistical mechanics is presented. This new statistics summarizes all possible factors that violate the assumptions of the BoltzmannGibbs (BG) statistics to a dimensionless nonextensivity parameter q. Thus, when q tends to 1, it returns to the BG case. Within the nonextensive PNJL model, we found that as q increases, the location of the critical end point (CEP) exhibits nonmonotonic behavior. That is, for $ q<1.15 $ , CEP moves in the direction of lower temperature and larger quark chemical potential. However, for $ q<1.15 $ , CEP turns to move in the direction of lower temperature and lower quark chemical potential. In addition, we studied the moments of the netbaryon number distribution, that is, variance ( $ q<1.15 $ ), skewness (S), and kurtosis (κ). Our results are generally consistent with the latest experimental data reported, especially for $ q<1.15 $ , when q is set to $ q<1.15 $ .
Subject Source SCOAP3 URL https://repo.scoap3.org/records/76831view Article Title Nonextensive effects on QCD chiral phase diagram and baryonnumber fluctuations within PolyakovNambuJonaLasinio modelAuthors Zhao, YaPeng; Wang, ChaoYong; Zuo, ShuYu; Li, ChengMingAbstract In this paper, a version of the PolyakovNambuJonaLasinio (PNJL) model based on nonextensive statistical mechanics is presented. This new statistics summarizes all possible factors that violate the assumptions of the BoltzmannGibbs (BG) statistics to a dimensionless nonextensivity parameter q. Thus, when q tends to 1, it returns to the BG case. Within the nonextensive PNJL model, we found that as q increases, the location of the critical end point (CEP) exhibits nonmonotonic behavior. That is, for $ q<1.15 $ , CEP moves in the direction of lower temperature and larger quark chemical potential. However, for $ q<1.15 $ , CEP turns to move in the direction of lower temperature and lower quark chemical potential. In addition, we studied the moments of the netbaryon number distribution, that is, variance ( $ q<1.15 $ ), skewness (S), and kurtosis (κ). Our results are generally consistent with the latest experimental data reported, especially for $ q<1.15 $ , when q is set to $ q<1.15 $ .Is Part Of CPC 2023 , Vol.C47 , 053103 Identifier ISSN: DOI 10.1088/16741137/acbf2aPublisher IOPCategory Resources PDF: http://repo.scoap3.org/api/files/548427e152ab436582804597b8cce58b/10.1088/16741137/acbf2a.pdf

SCOAP3wave Excited Tetraquark States With And Yang, ZiYan, Chen, Wei IOP 20230501 We study the mass spectra of Dwave excited $ cs\bar{c}\bar{s} $ tetraquark states with $ cs\bar{c}\bar{s} $ and $ cs\bar{c}\bar{s} $ in both symmetric $ cs\bar{c}\bar{s} $ and antisymmetric $ cs\bar{c}\bar{s} $ color configurations using the QCD sum rule method. We construct the Dwave diquarkantidiquark type of $ cs\bar{c}\bar{s} $ tetraquark interpolating currents in various excitation structures with $ cs\bar{c}\bar{s} $ . Our results support the interpretation of the recently observed $ cs\bar{c}\bar{s} $ resonance as a Dwave $ cs\bar{c}\bar{s} $ tetraquark state with $ cs\bar{c}\bar{s} $ in the $ cs\bar{c}\bar{s} $ or $ cs\bar{c}\bar{s} $ excitation mode, although some other possible excitation structures cannot be excluded exhaustively within theoretical errors. Moreover, our results provide the mass relations $ cs\bar{c}\bar{s} $ and $ cs\bar{c}\bar{s} $ for the positive and negative $ cs\bar{c}\bar{s} $ parity Dwave $ cs\bar{c}\bar{s} $ tetraquarks, respectively. We suggest searching for these possible Dwave $ cs\bar{c}\bar{s} $ tetraquarks in both the hiddencharm channels $ cs\bar{c}\bar{s} $ and $ cs\bar{c}\bar{s} $ , as well as opencharm channels such as $ cs\bar{c}\bar{s} $ and $ cs\bar{c}\bar{s} $ .
Subject Source SCOAP3 URL https://repo.scoap3.org/records/76878view Article Title wave Excited Tetraquark States With AndAuthors Yang, ZiYan; Chen, WeiAbstract We study the mass spectra of Dwave excited $ cs\bar{c}\bar{s} $ tetraquark states with $ cs\bar{c}\bar{s} $ and $ cs\bar{c}\bar{s} $ in both symmetric $ cs\bar{c}\bar{s} $ and antisymmetric $ cs\bar{c}\bar{s} $ color configurations using the QCD sum rule method. We construct the Dwave diquarkantidiquark type of $ cs\bar{c}\bar{s} $ tetraquark interpolating currents in various excitation structures with $ cs\bar{c}\bar{s} $ . Our results support the interpretation of the recently observed $ cs\bar{c}\bar{s} $ resonance as a Dwave $ cs\bar{c}\bar{s} $ tetraquark state with $ cs\bar{c}\bar{s} $ in the $ cs\bar{c}\bar{s} $ or $ cs\bar{c}\bar{s} $ excitation mode, although some other possible excitation structures cannot be excluded exhaustively within theoretical errors. Moreover, our results provide the mass relations $ cs\bar{c}\bar{s} $ and $ cs\bar{c}\bar{s} $ for the positive and negative $ cs\bar{c}\bar{s} $ parity Dwave $ cs\bar{c}\bar{s} $ tetraquarks, respectively. We suggest searching for these possible Dwave $ cs\bar{c}\bar{s} $ tetraquarks in both the hiddencharm channels $ cs\bar{c}\bar{s} $ and $ cs\bar{c}\bar{s} $ , as well as opencharm channels such as $ cs\bar{c}\bar{s} $ and $ cs\bar{c}\bar{s} $ .Is Part Of CPC 2023 , Vol.C47 , 053105 Identifier ISSN: DOI 10.1088/16741137/acbf2cPublisher IOPCategory Resources PDF: http://repo.scoap3.org/api/files/aabf430c58fa4ffb9faed838387218da/10.1088/16741137/acbf2c.pdf

arXivAffect as a proxy for literary mood Emily Öhman, Riikka Rossi 20230406 We propose to use affect as a proxy for mood in literary texts. In this study, we explore the differences in computationally detecting tone versus detecting mood. Methodologically we utilize affective word embeddings to look at the affective distribution in different text segments. We also present a simple yet efficient and effective method of enhancing emotion lexicons to take both semantic shift and the domain of the text into account producing realworld congruent results closely matching both contemporary and modern qualitative analyses.
Subject Source arXiv URL https://arxiv.org/abs/2304.02894view Article Title Affect as a proxy for literary moodAuthors Emily Öhman; Riikka RossiAbstract We propose to use affect as a proxy for mood in literary texts. In this study, we explore the differences in computationally detecting tone versus detecting mood. Methodologically we utilize affective word embeddings to look at the affective distribution in different text segments. We also present a simple yet efficient and effective method of enhancing emotion lexicons to take both semantic shift and the domain of the text into account producing realworld congruent results closely matching both contemporary and modern qualitative analyses.Is Part Of 20230406 Identifier ISSN: DOI 10.46298/jdmdh.11164Category cs.CLLicense 
SCOAP3Boson Associated jet Production in Highenergy Nuclear Collisions Wang, Sa, Dai, Wei, Zhang, BenWei, ... more(4) IOP 20230501 The production of vector boson tagged heavy quark jets potentially provides new tools to probe the jet quenching effect. In this paper, we present the first theoretical study on the angular correlations ( $ \Delta\phi_{bZ} $ ), transverse momentum imbalance ( $ \Delta\phi_{bZ} $ ), and nuclear modification factor ( $ \Delta\phi_{bZ} $ ) of $ \Delta\phi_{bZ} $ boson tagged bjets in heavyion collisions, which was performed using a Monte Carlo transport model. We find that the medium modification of the $ \Delta\phi_{bZ} $ for $ \Delta\phi_{bZ} $ + bjet has a weaker dependence on $ \Delta\phi_{bZ} $ than that for $ \Delta\phi_{bZ} $ + jet, and the modification patterns are sensitive to the initial jet $ \Delta\phi_{bZ} $ distribution. Additionally, with the high purity of the quark jet in $ \Delta\phi_{bZ} $ + (b) jet production, we calculate the momentum imbalance $ \Delta\phi_{bZ} $ and the nuclear modification factor $ \Delta\phi_{bZ} $ of $ \Delta\phi_{bZ} $ + bjet in Pb+Pb collisions. We observe a smaller $ \Delta\phi_{bZ} $ and larger $ \Delta\phi_{bZ} $ of $ \Delta\phi_{bZ} $ + bjet in Pb+Pb collisions relative to those of $ \Delta\phi_{bZ} $ + jet, which may be an indication of the mass effect of jet quenching and can be tested in future measurements.
Subject Source SCOAP3 URL https://repo.scoap3.org/records/76879view Article Title Boson Associated jet Production in Highenergy Nuclear CollisionsAuthors Wang, Sa; Dai, Wei; Zhang, BenWei; Wang, EnkeAbstract The production of vector boson tagged heavy quark jets potentially provides new tools to probe the jet quenching effect. In this paper, we present the first theoretical study on the angular correlations ( $ \Delta\phi_{bZ} $ ), transverse momentum imbalance ( $ \Delta\phi_{bZ} $ ), and nuclear modification factor ( $ \Delta\phi_{bZ} $ ) of $ \Delta\phi_{bZ} $ boson tagged bjets in heavyion collisions, which was performed using a Monte Carlo transport model. We find that the medium modification of the $ \Delta\phi_{bZ} $ for $ \Delta\phi_{bZ} $ + bjet has a weaker dependence on $ \Delta\phi_{bZ} $ than that for $ \Delta\phi_{bZ} $ + jet, and the modification patterns are sensitive to the initial jet $ \Delta\phi_{bZ} $ distribution. Additionally, with the high purity of the quark jet in $ \Delta\phi_{bZ} $ + (b) jet production, we calculate the momentum imbalance $ \Delta\phi_{bZ} $ and the nuclear modification factor $ \Delta\phi_{bZ} $ of $ \Delta\phi_{bZ} $ + bjet in Pb+Pb collisions. We observe a smaller $ \Delta\phi_{bZ} $ and larger $ \Delta\phi_{bZ} $ of $ \Delta\phi_{bZ} $ + bjet in Pb+Pb collisions relative to those of $ \Delta\phi_{bZ} $ + jet, which may be an indication of the mass effect of jet quenching and can be tested in future measurements.Is Part Of CPC 2023 , Vol.C47 , 054102 Identifier ISSN: DOI 10.1088/16741137/acc1caPublisher IOPCategory Resources PDF: http://repo.scoap3.org/api/files/6cb12a43635045fd8a26971a37304b18/10.1088/16741137/acc1ca.pdf

arXivBridging Synthetic and Real Images: a Transferable and Multiple Consistency aided Fundus Image Enhancement Framework Erjian Guo, Huazhu Fu, Luping Zhou, ... more(4) 20230223 Deep learning based image enhancement models have largely improved the readability of fundus images in order to decrease the uncertainty of clinical observations and the risk of misdiagnosis. However, due to the difficulty of acquiring paired real fundus images at different qualities, most existing methods have to adopt synthetic image pairs as training data. The domain shift between the synthetic and the real images inevitably hinders the generalization of such models on clinical data. In this work, we propose an endtoend optimized teacherstudent framework to simultaneously conduct image enhancement and domain adaptation. The student network uses synthetic pairs for supervised enhancement, and regularizes the enhancement model to reduce domainshift by enforcing teacherstudent prediction consistency on the real fundus images without relying on enhanced groundtruth. Moreover, we also propose a novel multistage multiattention guided enhancement network (MAGENet) as the backbones of our teacher and student network. Our MAGENet utilizes multistage enhancement module and retinal structure preservation module to progressively integrate the multiscale features and simultaneously preserve the retinal structures for better fundus image quality enhancement. Comprehensive experiments on both real and synthetic datasets demonstrate that our framework outperforms the baseline approaches. Moreover, our method also benefits the downstream clinical tasks.
Subject Source arXiv URL https://arxiv.org/abs/2302.11795view Article Title Bridging Synthetic and Real Images: a Transferable and Multiple Consistency aided Fundus Image Enhancement FrameworkAuthors Erjian Guo; Huazhu Fu; Luping Zhou; Dong XuAbstract Deep learning based image enhancement models have largely improved the readability of fundus images in order to decrease the uncertainty of clinical observations and the risk of misdiagnosis. However, due to the difficulty of acquiring paired real fundus images at different qualities, most existing methods have to adopt synthetic image pairs as training data. The domain shift between the synthetic and the real images inevitably hinders the generalization of such models on clinical data. In this work, we propose an endtoend optimized teacherstudent framework to simultaneously conduct image enhancement and domain adaptation. The student network uses synthetic pairs for supervised enhancement, and regularizes the enhancement model to reduce domainshift by enforcing teacherstudent prediction consistency on the real fundus images without relying on enhanced groundtruth. Moreover, we also propose a novel multistage multiattention guided enhancement network (MAGENet) as the backbones of our teacher and student network. Our MAGENet utilizes multistage enhancement module and retinal structure preservation module to progressively integrate the multiscale features and simultaneously preserve the retinal structures for better fundus image quality enhancement. Comprehensive experiments on both real and synthetic datasets demonstrate that our framework outperforms the baseline approaches. Moreover, our method also benefits the downstream clinical tasks.Is Part Of 20230223 Identifier ISSN: Category eess.IV cs.CV cs.LGLicense 
SCOAP3Leptoquark and vectorlike quark extended model for simultaneousexplanation of Boson Mass and Muon –2 Anomalies He, ShiPing IOP 20230401 The CDF collaboration recently announced a new measurement result for the W boson mass, and it is in tension with the standard model prediction. In this paper, we explain this anomaly in the vectorlike quark (VLQ) $ (X,T,B)_{L,R} $ and leptoquark (LQ) $ (X,T,B)_{L,R} $ extended model. In this model, both the VLQ and LQ have positive corrections to the W boson mass. Moreover, it may be a solution to the $ (X,T,B)_{L,R} $ anomaly because of the chiral enhancements from top, T, and B quarks.
Subject Source SCOAP3 URL https://repo.scoap3.org/records/75981view Article Title Leptoquark and vectorlike quark extended model for simultaneousexplanation of Boson Mass and Muon –2 AnomaliesAuthors He, ShiPingAbstract The CDF collaboration recently announced a new measurement result for the W boson mass, and it is in tension with the standard model prediction. In this paper, we explain this anomaly in the vectorlike quark (VLQ) $ (X,T,B)_{L,R} $ and leptoquark (LQ) $ (X,T,B)_{L,R} $ extended model. In this model, both the VLQ and LQ have positive corrections to the W boson mass. Moreover, it may be a solution to the $ (X,T,B)_{L,R} $ anomaly because of the chiral enhancements from top, T, and B quarks.Is Part Of CPC 2023 , Vol.C47 , 043102 Identifier ISSN: DOI 10.1088/16741137/ac9e4cPublisher IOPCategory Resources PDF: http://repo.scoap3.org/api/files/525708db136d42469d95e59e351855e1/10.1088/16741137/ac9e4c.pdf

SCOAP3Explanation of (4630) as a Hadronic Resonant State Mei, XiaoHui, Yu, Zhuo, Song, Mao, ... more(6) IOP 20230301 Theorists have given various explanations for the discovery of Y(4630). We find that if Y(4630) is interpreted as the Dwave resonant state of the $ \Lambda_c \bar {\Lambda}_c $ system, the particle mass, decay width, and all quantum numbers are consistent with experimental observations. We use the Bonn approximation to obtain the interaction potential of the one boson exchange model. Then, we extend the complex scaling method to calculate the bound and resonant states. The results indicate that the $ \Lambda_c \bar {\Lambda}_c $ system can form not only the bound state of the S wave but also the resonant state of the high angular momentum, and the $ \Lambda_c \bar {\Lambda}_c $ wave resonant state can explain the structure of Y(4630) very well.
Subject Source SCOAP3 URL https://repo.scoap3.org/records/75647view Article Title Explanation of (4630) as a Hadronic Resonant StateAuthors Mei, XiaoHui; Yu, Zhuo; Song, Mao; Guo, JianYou; Li, Gang; Luo, XuanAbstract Theorists have given various explanations for the discovery of Y(4630). We find that if Y(4630) is interpreted as the Dwave resonant state of the $ \Lambda_c \bar {\Lambda}_c $ system, the particle mass, decay width, and all quantum numbers are consistent with experimental observations. We use the Bonn approximation to obtain the interaction potential of the one boson exchange model. Then, we extend the complex scaling method to calculate the bound and resonant states. The results indicate that the $ \Lambda_c \bar {\Lambda}_c $ system can form not only the bound state of the S wave but also the resonant state of the high angular momentum, and the $ \Lambda_c \bar {\Lambda}_c $ wave resonant state can explain the structure of Y(4630) very well.Is Part Of CPC 2023 , Vol.C47 , 033104 Identifier ISSN: DOI 10.1088/16741137/aca959Publisher IOPCategory Resources PDF: http://repo.scoap3.org/api/files/1453c03a7d9c4175b0f605bf6e3685fe/10.1088/16741137/aca959.pdf