The Experts below are selected from a list of 216 Experts worldwide ranked by ideXlab platform
Kazuhiro Sakai - One of the best experts on this subject based on the ideXlab platform.
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Asymptotic Form of gopakumar vafa invariants from instanton counting
Nuclear Physics, 2004Co-Authors: Yukiko Konishi, Kazuhiro SakaiAbstract:We study the Asymptotic Form of the Gopakumar–Vafa invariants at all genera for Calabi–Yau toric threefolds which have the structure of fibration of the An singularity over P 1 . We claim that the Asymptotic Form is the inverse Laplace transForm of the corresponding instanton amplitude in the prepotential of N = 2 SU(n + 1) gauge theory coupled to external graviphoton fields, which is given by the logarithm of the Nekrasov’s partition function. 2004 Elsevier B.V. All rights reserved.
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Asymptotic Form of Gopakumar–Vafa invariants from instanton counting
Nuclear Physics, 2004Co-Authors: Yukiko Konishi, Kazuhiro SakaiAbstract:We study the Asymptotic Form of the Gopakumar–Vafa invariants at all genera for Calabi–Yau toric threefolds which have the structure of fibration of the An singularity over P 1 . We claim that the Asymptotic Form is the inverse Laplace transForm of the corresponding instanton amplitude in the prepotential of N = 2 SU(n + 1) gauge theory coupled to external graviphoton fields, which is given by the logarithm of the Nekrasov’s partition function. 2004 Elsevier B.V. All rights reserved.
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Asymptotic Form of Gopakumar–Vafa invariants from instanton counting
Nuclear Physics B, 2004Co-Authors: Yukiko Konishi, Kazuhiro SakaiAbstract:We study the Asymptotic Form of the Gopakumar-Vafa invariants at all genera for Calabi-Yau toric threefolds which have the structure of fibration of the A_n singularity over P^1. We claim that the Asymptotic Form is the inverse Laplace transForm of the corresponding instanton amplitude in the prepotential of N=2 SU(n+1) gauge theory coupled to external graviphoton fields, which is given by the logarithm of the Nekrasov's partition function.Comment: 22 pages, 2 figures; (v2) typos correcte
Shing-tung Yau - One of the best experts on this subject based on the ideXlab platform.
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Asymptotic Form of zero energy wave functions in supersymmetric matrix models
Nuclear Physics B, 2000Co-Authors: Jürg Fröhlich, Gian Michele Graf, D. Hasler, Jens Hoppe, Shing-tung YauAbstract:Abstract We derive the power law decay, and Asymptotic Form, of SU(2)×Spin(d) invariant wavefunctions satisfying Qβψ=0 for all sd=2(d−1) supercharges of reduced (d+1)-dimensional supersymmetric SU(2) Yang–Mills theory, of, respectively, the SU(2) matrix model related to supermembranes in d+2 dimensions.
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Asymptotic Form of zero energy wave functions in supersymmetric matrix models
arXiv: High Energy Physics - Theory, 1999Co-Authors: J Froehlich, Gian Michele Graf, D. Hasler, Jens Hoppe, Shing-tung YauAbstract:We derive the power law decay, and Asymptotic Form, of SU(2) x Spin(d) invariant wave-functions which are zero-modes of all s_d=2(d-1) supercharges of reduced (d+1)-dimensional supersymmetric SU(2) Yang Mills theory, resp. of the SU(2)-matrix model related to supermembranes in d+2 dimensions.
Yukiko Konishi - One of the best experts on this subject based on the ideXlab platform.
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Asymptotic Form of gopakumar vafa invariants from instanton counting
Nuclear Physics, 2004Co-Authors: Yukiko Konishi, Kazuhiro SakaiAbstract:We study the Asymptotic Form of the Gopakumar–Vafa invariants at all genera for Calabi–Yau toric threefolds which have the structure of fibration of the An singularity over P 1 . We claim that the Asymptotic Form is the inverse Laplace transForm of the corresponding instanton amplitude in the prepotential of N = 2 SU(n + 1) gauge theory coupled to external graviphoton fields, which is given by the logarithm of the Nekrasov’s partition function. 2004 Elsevier B.V. All rights reserved.
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Asymptotic Form of Gopakumar–Vafa invariants from instanton counting
Nuclear Physics, 2004Co-Authors: Yukiko Konishi, Kazuhiro SakaiAbstract:We study the Asymptotic Form of the Gopakumar–Vafa invariants at all genera for Calabi–Yau toric threefolds which have the structure of fibration of the An singularity over P 1 . We claim that the Asymptotic Form is the inverse Laplace transForm of the corresponding instanton amplitude in the prepotential of N = 2 SU(n + 1) gauge theory coupled to external graviphoton fields, which is given by the logarithm of the Nekrasov’s partition function. 2004 Elsevier B.V. All rights reserved.
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Asymptotic Form of Gopakumar–Vafa invariants from instanton counting
Nuclear Physics B, 2004Co-Authors: Yukiko Konishi, Kazuhiro SakaiAbstract:We study the Asymptotic Form of the Gopakumar-Vafa invariants at all genera for Calabi-Yau toric threefolds which have the structure of fibration of the A_n singularity over P^1. We claim that the Asymptotic Form is the inverse Laplace transForm of the corresponding instanton amplitude in the prepotential of N=2 SU(n+1) gauge theory coupled to external graviphoton fields, which is given by the logarithm of the Nekrasov's partition function.Comment: 22 pages, 2 figures; (v2) typos correcte
Masayasu Kamimura - One of the best experts on this subject based on the ideXlab platform.
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Asymptotic Form of three-body (dtµ)+ and (ddµ)+ wave functions
Hyperfine Interactions, 1996Co-Authors: Yasushi Kino, M. R. Harston, I. Shimamura, E. A. G. Armour, Masayasu KamimuraAbstract:In order to investigate a discrepancy between existing literature values for the normalization constant in the Asymptotic Form of three-body wave functions for (dtµ)+, we report the results of a new calculation of the normalization constants for this system as well as the related system (ddµ)+. These were obtained by fitting to accurate variational wave functions with special care being taken to describe the long-range behavior.
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normalization of the Asymptotic Form of three body dtμ and ddμ wave functions
Physical Review A, 1995Co-Authors: Yasushi Kino, M. R. Harston, I. Shimamura, E. A. G. Armour, Masayasu KamimuraAbstract:In order to investigate a discrepancy between existing literature values for the normalization constant in the Asymptotic Form of three-body wave functions for (dt\ensuremath{\mu}${)}^{+}$, we report the results of a calculation of the normalization constants for this system as well as the related system (dd\ensuremath{\mu}${)}^{+}$. These were obtained by fitting to accurate variational wave functions with special care being taken to describe the long-range (t\ensuremath{\mu})+d or (d\ensuremath{\mu})+d behavior. The implications of this reevaluation of the normalization constants are discussed in relation to the theoretical Formation rates of molecules such as (dt\ensuremath{\mu})dee and (dd\ensuremath{\mu})dee, which are key intermediates in the muon-catalyzed fusion cycle.
Naoki Hayashi - One of the best experts on this subject based on the ideXlab platform.
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the exact Asymptotic Form of bayesian generalization error in latent dirichlet allocation
Neural Networks, 2021Co-Authors: Naoki HayashiAbstract:Abstract Latent Dirichlet allocation (LDA) obtains essential inFormation from data by using Bayesian inference. It is applied to knowledge discovery via dimension reducing and clustering in many fields. However, its generalization error had not been yet clarified since it is a singular statistical model where there is no one-to-one mapping from parameters to probability distributions. In this paper, we give the exact Asymptotic Form of its generalization error and marginal likelihood, by theoretical analysis of its learning coefficient using algebraic geometry. The theoretical result shows that the Bayesian generalization error in LDA is expressed in terms of that in matrix factorization and a penalty from the simplex restriction of LDA’s parameter region. A numerical experiment is consistent with the theoretical result.
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the exact Asymptotic Form of bayesian generalization error in latent dirichlet allocation
arXiv: Machine Learning, 2020Co-Authors: Naoki HayashiAbstract:Latent Dirichlet allocation (LDA) obtains essential inFormation from data by using Bayesian inference. It is applied to knowledge discovery via dimension reducing and clustering in many fields. However, its generalization error had not been yet clarified since it is a singular statistical model where there is no one to one map from parameters to probability distributions. In this paper, we give the exact Asymptotic Form of its generalization error and marginal likelihood, by theoretical analysis of its learning coefficient using algebraic geometry. The theoretical result shows that the Bayesian generalization error in LDA is expressed in terms of that in matrix factorization and a penalty from the simplex restriction of LDA's parameter region.
