While recommendation plays an increasingly critical role in our living, study, work, and entertainment, the recommendations we receive are often for irrelevant, duplicate, or uninteresting products and ser- vices. A c...While recommendation plays an increasingly critical role in our living, study, work, and entertainment, the recommendations we receive are often for irrelevant, duplicate, or uninteresting products and ser- vices. A critical reason for such bad recommendations lies in the intrinsic assumption that recommend- ed users and items are independent and identically distributed (liD) in existing theories and systems. Another phenomenon is that, while tremendous efforts have been made to model specific aspects of users or items, the overall user and item characteristics and their non-IIDness have been overlooked. In this paper, the non-liD nature and characteristics of recommendation are discussed, followed by the non-liD theoretical framework in order to build a deep and comprehensive understanding of the in- trinsic nature of recommendation problems, from the perspective of both couplings and heterogeneity. This non-liD recommendation research triggers the paradigm shift from lid to non-liD recommendation research and can hopefully deliver informed, relevant, personalized, and actionable recommendations. It creates exciting new directions and fundamental solutions to address various complexities including cold-start, sparse data-based, cross-domain, group-based, and shilling attack-related issues.展开更多
Feminist Translation is the translation studies within the framework of feminism, which breaks the shackles ot binary opposition in traditional translation theory and its distinctive feature is the subversion of fidel...Feminist Translation is the translation studies within the framework of feminism, which breaks the shackles ot binary opposition in traditional translation theory and its distinctive feature is the subversion of fidelity in traditional translation theory, it reinterprets the relationship between the translation and the original text, the translator and the original author. Feminist translation is significant in various aspects under the goal of achieving gender equality. Meanwhile, it is necessary to note that feminist translation has some limitations and criticism for its intervention of original text and overstate of feminist identity. So this essay is trying to reflect on translations within the frame of feminism, in which includes the contribution and limitation of feminist translation.展开更多
In this paper, we give a method which aUows us to construct a class of Parseval frames for L2(R) from Fourier frame for L2(X). The result shows that the function which generates a Oabor frame by translations and m...In this paper, we give a method which aUows us to construct a class of Parseval frames for L2(R) from Fourier frame for L2(X). The result shows that the function which generates a Oabor frame by translations and modulations has "good" properties, i.e., it is suifficiently smooth and compactly supported.展开更多
Let A be a d x d real expansive matrix. An A-dilation Parseval frame wavelet is a function φ E n2 (Rd), such that the set {|det A|n/2φ(Ant -l) :n ∈ Z, l∈ Zd} forms a Parseval frame for L2 (Rd). A measurab...Let A be a d x d real expansive matrix. An A-dilation Parseval frame wavelet is a function φ E n2 (Rd), such that the set {|det A|n/2φ(Ant -l) :n ∈ Z, l∈ Zd} forms a Parseval frame for L2 (Rd). A measurable function f is called an A-dilation Parseval frame wavelet multiplier if the inverse Fourier transform of fφ is an A-dilation Parseval frame wavelet whenever φ is an A-dilation Parseval frame wavelet, where φ denotes the Fourier transform of φ. In this paper, the authors completely characterize all A-dilation Parseval frame wavelet multipliers for any integral expansive matrix A with | det(A)|= 2. As an application, the path-connectivity of the set of all A-dilation Parseval frame wavelets with a frame MRA in L2(Rd) is discussed.展开更多
文摘While recommendation plays an increasingly critical role in our living, study, work, and entertainment, the recommendations we receive are often for irrelevant, duplicate, or uninteresting products and ser- vices. A critical reason for such bad recommendations lies in the intrinsic assumption that recommend- ed users and items are independent and identically distributed (liD) in existing theories and systems. Another phenomenon is that, while tremendous efforts have been made to model specific aspects of users or items, the overall user and item characteristics and their non-IIDness have been overlooked. In this paper, the non-liD nature and characteristics of recommendation are discussed, followed by the non-liD theoretical framework in order to build a deep and comprehensive understanding of the in- trinsic nature of recommendation problems, from the perspective of both couplings and heterogeneity. This non-liD recommendation research triggers the paradigm shift from lid to non-liD recommendation research and can hopefully deliver informed, relevant, personalized, and actionable recommendations. It creates exciting new directions and fundamental solutions to address various complexities including cold-start, sparse data-based, cross-domain, group-based, and shilling attack-related issues.
文摘Feminist Translation is the translation studies within the framework of feminism, which breaks the shackles ot binary opposition in traditional translation theory and its distinctive feature is the subversion of fidelity in traditional translation theory, it reinterprets the relationship between the translation and the original text, the translator and the original author. Feminist translation is significant in various aspects under the goal of achieving gender equality. Meanwhile, it is necessary to note that feminist translation has some limitations and criticism for its intervention of original text and overstate of feminist identity. So this essay is trying to reflect on translations within the frame of feminism, in which includes the contribution and limitation of feminist translation.
基金Supported by Henan Province Education Department Natural Science Foundation of China(2008B510001)
文摘In this paper, we give a method which aUows us to construct a class of Parseval frames for L2(R) from Fourier frame for L2(X). The result shows that the function which generates a Oabor frame by translations and modulations has "good" properties, i.e., it is suifficiently smooth and compactly supported.
基金Project Supported by the National Natural Science Foundation of China(Nos.11071065,11101142,11171306,10671062)the China Postdoctoral Science Foundation(No.20100480942)+1 种基金the Doctoral Program Foundation of the Ministry of Education of China(No.20094306110004) the Program for Science and Technology Research Team in Higher Educational Institutions of Hunan Province
文摘Let A be a d x d real expansive matrix. An A-dilation Parseval frame wavelet is a function φ E n2 (Rd), such that the set {|det A|n/2φ(Ant -l) :n ∈ Z, l∈ Zd} forms a Parseval frame for L2 (Rd). A measurable function f is called an A-dilation Parseval frame wavelet multiplier if the inverse Fourier transform of fφ is an A-dilation Parseval frame wavelet whenever φ is an A-dilation Parseval frame wavelet, where φ denotes the Fourier transform of φ. In this paper, the authors completely characterize all A-dilation Parseval frame wavelet multipliers for any integral expansive matrix A with | det(A)|= 2. As an application, the path-connectivity of the set of all A-dilation Parseval frame wavelets with a frame MRA in L2(Rd) is discussed.