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pro vyhledávání: '"SIlva, Diogo"'
Let ${{\bf R}_{\mathbb S^{d-1}}}(p\to q)$ denote the best constant for the $L^p(\mathbb{R}^d)\to L^q(\mathbb S^{d-1})$ Fourier restriction inequality to the unit sphere $\mathbb S^{d-1}$, and let ${\bf R}_{\mathbb S^{d-1}} (p\to q;\textrm{rad})$ deno
Externí odkaz:
http://arxiv.org/abs/2412.03942
We present a brief introduction to a class of interactive fuzzy numbers, called f correlated fuzzy numbers, which consist of pairs of fuzzy numbers where one is dependent on the other by a continuous montone injector function. We present some results
Externí odkaz:
http://arxiv.org/abs/2412.00046
This paper presents some concepts of the theory of interactive fuzzy numbers, and mainly, a class of interactive fuzzy numbers, called $f$-correlated fuzzy numbers. We start from the foundations of general fuzzy mathematics and go through operations
Externí odkaz:
http://arxiv.org/abs/2412.00045
We prove a new family of sharp $L^2(\mathbb S^{d-1})\to L^4(\mathbb R^d)$ Fourier extension inequalities from the unit sphere $\mathbb S^{d-1}\subset \mathbb R^d$, valid in arbitrary dimensions $d\geq 3$.
Comment: 12 pages
Comment: 12 pages
Externí odkaz:
http://arxiv.org/abs/2410.23106
Infections diseases are marked by recovering time distributions which can be far from the exponential one associated with Markovian/Poisson processes, broadly applied in epidemic compartmental models. In the present work, we tackled this problem by i
Externí odkaz:
http://arxiv.org/abs/2410.01155
Guiding users through complex procedural plans is an inherently multimodal task in which having visually illustrated plan steps is crucial to deliver an effective plan guidance. However, existing works on plan-following language models (LMs) often ar
Externí odkaz:
http://arxiv.org/abs/2409.19074
Sharp restriction theory and the finite field extension problem have both received a great deal of attention in the last two decades, but so far they have not intersected. In this paper, we initiate the study of sharp restriction theory on finite fie
Externí odkaz:
http://arxiv.org/abs/2405.16647
Autor:
Bordalo, João, Ramos, Vasco, Valério, Rodrigo, Glória-Silva, Diogo, Bitton, Yonatan, Yarom, Michal, Szpektor, Idan, Magalhaes, Joao
Multistep instructions, such as recipes and how-to guides, greatly benefit from visual aids, such as a series of images that accompany the instruction steps. While Large Language Models (LLMs) have become adept at generating coherent textual steps, L
Externí odkaz:
http://arxiv.org/abs/2405.10122
Discrete- and continuous-time approaches are frequently used to model the role of heterogeneity on dynamical interacting agents on the top of complex networks. While, on the one hand, one does not expect drastic differences between these approaches,
Externí odkaz:
http://arxiv.org/abs/2402.10166
Training Large Language Models (LLMs) to follow user instructions has been shown to supply the LLM with ample capacity to converse fluently while being aligned with humans. Yet, it is not completely clear how an LLM can lead a plan-grounded conversat
Externí odkaz:
http://arxiv.org/abs/2402.01053