Results 11 to 20 of about 8,007,653 (280)
Derived categories of NDG categories [PDF]
Journal of Homotopy and Related Structures, 2021 We study $N$-differential graded ($NDG$) categories and their the derived categories. First, we introduce $N$-differential modules over an $NDG$ category $\mathcal{A}$. Then we show that the category $\mathsf{C}_{Ndg}(\mathcal{A})$ of $N$-differential $\mathcal{A}$-modules is a Frobenius category, and that its homotopy category $\mathsf{K}_{Ndg ...
Miyachi, Jun-ichi, Nagase, Hiroshi
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Subfactor Categories of Triangulated Categories [PDF]
Communications in Algebra, 2015 15 ...
Xu, Jinde, Zhou, Panyue, Ouyang, Baiyu
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Integral categories and calculus categories [PDF]
Mathematical Structures in Computer Science, 2018 Differential categories are now an established abstract setting for differentiation. However, not much attention has been given to the process which is inverse to differentiation: integration. This paper presents the parallel development for integration by axiomatizing an integral transformation, sA: !A → !A ⊗ A, in a symmetric monoidal category with a
Cockett, Robin, Lemay, Jean-Simon
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G-category versus orbifold category
Topological Methods in Nonlinear Analysis, 2023 We present a comparative study of certain invariants defined for group actions and their analogues defined for orbifolds. In particular, we prove that Fadell's equivariant category for $G$-spaces coincides with the Lusternik-Schnirelmann category for orbifolds when the group is finite.
Andrés Ángel, Hellen Colman
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Psychological Aspects of Social Photography
Вісник Київського національного університету культури і мистецтв. Серія: Аудіовізуальне мистецтво і виробництво, 2021 The purpose of the research is to analyze the main features of social photography in the psychological aspect of the photographer. The research methodology is based on the application of a system-integrated approach to the review of this problem, within ...
Сергій Борденюк +1 more
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Taking a Closer Look at Domain Shift: Category-Level Adversaries for Semantics Consistent Domain Adaptation [PDF]
Computer Vision and Pattern Recognition, 2018 We consider the problem of unsupervised domain adaptation in semantic segmentation. The key in this campaign consists in reducing the domain shift, i.e., enforcing the data distributions of the two domains to be similar.
Yawei Luo +4 more
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Category of Intuitionistic Fuzzy Modules
Mathematics, 2022 We study the relationship between the category of R-modules (CR-M) and the category of intuitionistic fuzzy modules (CR−IFM). We construct a category CLat(R−IFM) of complete lattices corresponding to every object in CR−M and then show that, corresponding
Poonam Kumar Sharma +2 more
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Learning Category-Specific Mesh Reconstruction from Image Collections [PDF]
European Conference on Computer Vision, 2018 We present a learning framework for recovering the 3D shape, camera, and texture of an object from a single image. The shape is represented as a deformable 3D mesh model of an object category where a shape is parameterized by a learned mean shape and per-
Angjoo Kanazawa +3 more
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Category of $A_{\infty}$-categories [PDF]
Homology, Homotopy and Applications, 2003 An \(A_\infty\)-algebra is an algebra for Stasheff's associahedra (non-symmetric) operad on chain complexes. An \(A_\infty\)-category is a several object version of this, although the name might better be used for the unital case. There is a straightforward concept of \(A_\infty\)-functor; and the author here defines natural \(A_\infty ...
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Categorical Diversity-Aware Inner Product Search
IEEE Access, 2023 The problem of maximum inner product search (MIPS) is one of the most important components in machine learning systems. However, this problem does not care about diversity, although result diversification can improve user satisfaction.
Kohei Hirata +3 more
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