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Tick sizes not only influence the granularity of the price formation process but also affect market agents' behavior. We investigate the disparity in the microstructural properties of the Limit Order Book (LOB) across different relative tick sizes. A
Externí odkaz:
http://arxiv.org/abs/2410.08744
The energy $En(G)$ of a graph $G$ is defined as the sum of the absolute values of its eigenvalues. The Hosoya index $Z(G)$ of a graph $G$ is the number of independent edge subsets of $G$, including the empty set. For any given degree sequence $D$, we
Externí odkaz:
http://arxiv.org/abs/2410.16810
Akademický článek
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Large language models (LLMs) have demonstrated remarkable performance across a wide range of tasks. Advances in prompt engineering and fine-tuning techniques have further enhanced their ability to address complex reasoning challenges. However, these
Externí odkaz:
http://arxiv.org/abs/2412.09906
Autor:
Befekadu, Getachew K.
In this paper, we provide a mathematical framework for improving generalization in a class of learning problems which is related to point estimations for modeling of high-dimensional nonlinear functions. In particular, we consider a variational probl
Externí odkaz:
http://arxiv.org/abs/2412.08772
Autor:
Bar-On, Tamar, Nikolov, Nikolay
We prove that every small profinite group can be decomposed into a direct product of indecomposable profinite groups, and that such a decomposition is unique up to order and isomorphisms of the components. We also investigate the cancellation propert
Externí odkaz:
http://arxiv.org/abs/2412.07699
In our previous paper [Fei Hou, Fei Tao, Huicheng Yin, Global existence and scattering of small data smooth solutions to a class of quasilinear wave systems on $\mathbb{R}^2\times\mathbb{T}$, Preprint (2024), arXiv:2405.03242], for the $Q_0$-type qua
Externí odkaz:
http://arxiv.org/abs/2412.07463
Autor:
Dean, Sarah E., Munro, Josephine, Li, Neuton, Sharp, Robert, Neshev, Dragomir N., Sukhorukov, Andrey A.
Polarisation imaging is used to distinguish objects and surface characteristics that are otherwise not visible with black-and-white or colour imaging. Full-Stokes polarisation imaging allows complex image processing like water glint filtering, which
Externí odkaz:
http://arxiv.org/abs/2412.06132
In many fields, such as language acquisition, neuropsychology of language, the study of aging, and historical linguistics, corpora are used for estimating the diversity of grammatical structures that are produced during a period by an individual, com
Externí odkaz:
http://arxiv.org/abs/2412.06095
In the present paper, we show that the global solution to (partially) damped Klein-Gordon equation on the three dimensional Euclidean space with small data decays exponentially. The key ingredients in the proof are: Morawetz-type estimates for soluti
Externí odkaz:
http://arxiv.org/abs/2412.05987