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pro vyhledávání: '"Samant, Salil"'
Autor:
Samant, Salil, Joshi, Shiv Dutt
In this paper we propose and lay the foundations of a functorial framework for representing signals. By incorporating additional category-theoretic relative and generative perspective alongside the classic set-theoretic measure theory the fundamental
Externí odkaz:
http://arxiv.org/abs/1710.10227
Autor:
Samant, Salil, Joshi, Shiv Dutt
In this paper we propose and study few applications of the base structured categories $\mathcal{X} \rtimes_{\mathbf{F}} \mathbf{C}$, $\int_{\mathbf{C}} \bar{\mathbf{F}}$, $\mathcal{X} \rtimes_{\mathbb{F}} \mathbf{C}$ and ${\int_{\mathbf{C}} \bar{\mat
Externí odkaz:
http://arxiv.org/abs/1611.02437
Autor:
Samant, Salil, Joshi, Shiv Dutt
In this paper we study categories $(F,\mathbf{C},\mathbf{D})$ and $(\mathbb{F},\mathbf{C},\mathbf{Set})$ and prove them to be fibred on $\mathbf{C}$. Then we examine Grothendieck construction in the context of an ordinary functor $F: \mathbf{C} \righ
Externí odkaz:
http://arxiv.org/abs/1610.05926