Context: The advent of Artificial Intelligence (AI) requires modeling prior to its implementation in algorithms for most human skills. This observation requires us to have a detailed and precise understanding of the i...
We are supported by Guangdong Provincial Key Laboratory(Grant No.2019B121203002);L.K.is also supported by the National Natural Science Foundation of China under Grant No.11971219;Guangdong Basic and Applied Basic Research Foundation under Grant No.2020B1515120100;H.Z.is also supported by the National Natural Science Foundation of China under Grant No.11871078.
In quantum computing, the computation is achieved by linear operators in or between Hilbert spaces. In this work, we explore a new computation scheme, in which the linear operators in quantum computing are replaced by...
Once invertibility for a causal TARMA series is defined and accompanied by conditions on the probability parameters of the model, all focus concentrates on the maximum likelihood estimators. Under the coexistence of e...
Machine learning methods are increasingly used for spatially predicting a categorical target variable when spatially exhaustive predictor variables are available within the study region.Even though these methods exhib...
Among the huge diversity of ideas that show up while studying graph theory,one that has obtained a lot of popularity is the concept of labelings of graphs.Graph labelings give valuable mathematical models for a wide s...
supported by a grant from Institute for Research in Fundamental Sciences(IPM)(Grant No.98130021)。
Using a relative version of Auslander’s formula,we give a functorial approach to show that the bounded derived category of every Artin algebra admits a categorical resolution.This,in particular,implies that the bound...
This paper proposes two new algorithms for classifying objects with categorical attributes. These algorithms are derived from the assumption that the attributes of different object classes have different probability d...
Software complexity crisis brings huge obstacle to further progress in IT industry. To alleviate this problem, researchers are asked to build systems which can benefit from automation. With autonomic behavior, the rea...
supported by National Natural Science Foundation of China(Grant Nos.11271251 and 11431010)
We clarify the relation between the subcategory D_(hf)~b(A) of homological finite objects in D^b(A)and the subcategory K^b(P) of perfect complexes in D^b(A), by giving two classes of abelian categories A with enough p...
Acknowledgements The authors would like to thank the referees for a number of helpful comments that greatly improved the presentation of this paper. The first author also thanks Prof. Ke Wu and Prof. Shikun Wang for stimulating discussion and help in preparation of this paper. This work was supported in part by the National Natural Science Foundation of China (Grant Nos. 11047030, 11171055, 11571145) and the Science and Technology Program of Henan Province (No. 152300410061).
We give a monoidal category approach to Hom-coassociative coalgebra by imposing the Hom-coassociative law up to some isomorphisms on the comultiplication map and requiring that these isomorphisms satisfy the copentago...