Zobrazeno 1 - 10
of 3 093
pro vyhledávání: '"Erfanian A."'
Let $G$ be a group and $L(G)$ be the set of all subgroups of $G$. We introduce a bipartite graph $\mathcal{B}(G)$ on $G$ whose vertex set is the union of two sets $G \times G$ and $L(G)$, and two vertices $(a, b) \in G \times G$ and $H \in L(G)$ are
Externí odkaz:
http://arxiv.org/abs/2412.05494
Multi-modal data, such as image data sets, often miss the detailed descriptions that properly capture the rich information encoded in them. This makes answering complex natural language queries a major challenge in these domains. In particular, unlik
Externí odkaz:
http://arxiv.org/abs/2412.00639
Despite their tremendous success and versatility, Large Language Models (LLMs) suffer from inference inefficiency while relying on advanced computational infrastructure. To address these challenges and make LLMs more accessible and cost-effective, in
Externí odkaz:
http://arxiv.org/abs/2411.06360
Autor:
Flanagan, Francis, O'Connor, Alison N., Erfanian, Mozhdeh, Music, Omer, Brambley, Edward James, O'Kiely, Doireann
Metal rolling is a widespread and well-studied process, and many finite-element (FE) rolling simulations can be found in the scientific literature. However, these FE simulations are typically limited in their resolution of through-thickness variation
Externí odkaz:
http://arxiv.org/abs/2408.03242
Autor:
Erfanian, Mozhdeh, Brambley, Edward James, Flanagan, Francis, O'Kiely, Doireann, O'Connor, Alison N.
A new semi-analytic model of the metal rolling process is presented and validated against finite element simulations. The model generalises the classical slab method of modelling cold rolling, and for the first time, is able to predict the through-th
Externí odkaz:
http://arxiv.org/abs/2408.01347
Alignment of Large Language Models (LLMs) remains an unsolved problem. Human preferences are highly distributed and can be captured at multiple levels of abstraction, from the individual to diverse populations. Organisational preferences, represented
Externí odkaz:
http://arxiv.org/abs/2408.00307
In this paper, we define the non-commuting graph associated to a Lie algebra L and obtain some basic graph properties such as connectivity, diameter, girth, Hamiltonian and Eulerian. Moreover, planarity, outer planarity and isomorphism between two su
Externí odkaz:
http://arxiv.org/abs/2406.15902
In this paper, the possible values of commutativity degree of Lie algebras are determined. Also, we define the asymptotic commutativity degree of Lie algebras and obtain the asymptotic commutativity degree for some of them. Moreover, we prove the exi
Externí odkaz:
http://arxiv.org/abs/2406.10077
In this paper, we introduce the commutativity degree of a finite-dimensional Lie algebra over a finite field and determine upper and lower bounds for it. Moreover, we study some relations between the notion of commutativity degree and known concepts
Externí odkaz:
http://arxiv.org/abs/2406.10064
Entity matching is one the earliest tasks that occur in the big data pipeline and is alarmingly exposed to unintentional biases that affect the quality of data. Identifying and mitigating the biases that exist in the data or are introduced by the mat
Externí odkaz:
http://arxiv.org/abs/2404.07354