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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Statistical Management Theory for Business Applications with Massive Scale
大规模 商业应用 统计管理
2023/12/11
这是一个大数据与人工智能的时代，催生了各种各样大规模商务新场景。新场景常常呈现出：大规模、大数据、大模型的特点。这些特点对统计学的理论与计算方法都提出了新挑战，也提供了新机遇。对此，我将通过三个具体的真实案例分享，希望从中能够总结典型的统计学科学问题，洞察未来可能的研究机遇。这三个案例分别来自：金融科技、视频直播、和智慧零售三个不同商务场景。其中科技金融案例将展示如何通过二维码聚合支付数据助力面向...
Massive Hopfions
Massive Hopfions
2011/3/2
The Skyrme-Faddeev model is a (3 + 1)-dimensional model which has knotted,string-like, soliton solutions. In this paper we investigate a Skyrme-Faddeev model with an SO(3) symmetry breaking potential....
An Algebraic Jost-Schroer Theorem for Massive Theories
Algebraic Jost-Schroer Theorem Massive Theories
2011/3/2
We consider a purely massive local relativistic quantum theory specified by a family of von Neumann algebras indexed by the space-time regions. We assume that, affiliated with the local algebras, ther...
Noncommutative (generalized) sine-Gordon/massive Thirring correspondence, integrability and solitons
Noncommutative correspondence integrability solitons
2010/11/10
Some properties of the correspondence between the non-commutative versions of the (generalized) sine-Gordon (NCGSG$_{1,2}$) and the massive Thirring (NCGMT$_{1,2}$) models are studied. Our method rel...
On Generalized Monopole Spherical Harmonics and the Wave Equation of a Charged Massive Kerr Black Hole
Generalized Monopole Spherical Harmonics Wave Equation of a Charged Massive Kerr Black Hole
2010/11/30
We find linearly independent solutions of the Goncharov-Firsova equation in the case of a massive complex scalar field on a Kerr black hole. The solutions generalize, in some sense, the classical mono...
Field theory of massive and massless vector particles in the Duffin-Kemmer-Petiau formalism
Field theory of massive massless vector particles Duffin-Kemmer-Petiau formalism
2010/12/16
Field theory of massive and massless vector particles is consid-ered in the first-order formalism. The Hamiltonian form of equations is obtained after the exclusion of non-dynamical components.
Phase transition in the 3-D massive Gross-Neveu model
Phase transition 3-D massive Gross-Neveu model
2010/12/16
We consider the 3-dimensional massive Gross-Neveu model at finite temperature as an
effective theory for strong interactions. Using the Matsubara imaginary time formalism, we derive a closed form for...
We present formulas for the coefficients of 2-, 3-, 4- and 5-point master integrals for oneloop massive amplitudes. The coefficients are derived from unitarity cuts in D dimensions. The input paramete...
Unitarity cuts with massive propagators and algebraic expressions for coefficients
Unitarity cuts massive propagators algebraic expressions coefficients
2018/4/20
In the first part of this paper, we extend the d-dimensional unitarity cut method of Anastasiou et al. to cases with massive propagators. We present formulas for integral reduction with which one can ...
Triality and Dual Equivalence Between Dirac Field and Topologically Massive Gauge Field
triality biquatermion self-dual
2007/8/15
2006Vol.46No.3pp.481-492DOI:
Triality and Dual Equivalence Between Dirac Field and Topologically Massive Gauge Field
LIU Yu-Fen
Institute of Theoretical Physics, Academi...