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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Sparse Tensor Optimization Approaches for Traffic Flow Prediction, Anomaly Detection and Video Surveillance
交通流预测 异常检测 视频监控 稀疏张量 优化方法
2023/4/13
Tensor-based modeling and computation emerge prominently with urgent demands from practical applications in the big data era. With the intrinsic sparsity in real data sets and the dimensionality reduc...
ANOMALY CANCELLATION AND MODULARITY II: THE E8 × E8 CASE
ANOMALY CANCELLATION MODULARITY II THE E8 × E8 CASE
2018/4/19
In this paper we show that both of the Green-Schwarz anomaly factorization formulafor the gauge group E8 × E8 and the Hoˇrava-Witten anomaly factorization formula for the gaugegroup E8 can be derived ...
It has been shown that the Alvarez-Gaum′e-Witten miraculous anomaly cancellation formula in type IIB superstring theory and its various generalizations can be derived from modularity of certain charac...
A note on modular forms and generalized anomaly cancellation formulas
Modular invariance Anomaly cancellation formulas
2018/4/19
By studying modular invariance properties of some characteristic forms, we prove some new anomaly cancellation formulas which generalize the Han-Zhang and Han-Liu-Zhang anomaly cancellation formulasKe...
A note on modular forms and generalized anomaly cancellation formulas
Modular invariance Anomaly cancellation formulas
2018/4/19
By studying modular invariance properties of some characteristic forms, we prove some new anomaly cancellation formulas which generalize the Han-Zhang and Han-Liu-Zhang anomaly cancellation formulas
Modular forms and generalized anomaly cancellation formulas
Modular forms generalized anomaly cancellation formulas
2018/4/19
In this paper, we generalize the anomaly cancellation formulas in [1, 12, 7] to the cases that an auxiliary bundle W as well as a complex line bundle are involved with no conditions on the first Pon...
GRAVITATIONAL ANOMALY CANCELLATION AND MODULAR INVARIANCE
GRAVITATIONAL ANOMALY CANCELLATION AND MODULAR INVARIANCE
2018/4/19
In this paper, by combining modular forms and characteristicforms, we obtain general anomaly cancellation formulas of any dimension. For4k + 2 dimensional manifolds, our results include the gravitatio...