In this section, we discuss the fuzzy credibility relation, fuzzy credibility graph, the degree of vertex, the total degree of the vertex and the direct product of the fuzzy credibility graph.
Definition 1
Let
Category: 7. Maths
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End-to-end deep learning for the diagnosis of pelvic and sacral tumors using non-enhanced MRI: a multi-center study
Patients and data acquisition
A total of 1211 patients with pathologically confirmed benign or malignant PSTs, treated at four hospitals between April 2011 and August 2024, were retrospectively analyzed.
Initially, we examined data from 1021 PST…
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A flying ad-hoc network dataset for early time series classification of grey hole attacks
Henceforth, sequences of node interactions are referred to as multi-feature time series (MTSs), representing interactions between the eval node and the subject node. Each MTS is classified based on the subject node’s behavior, which can be one…
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Learning for embodiment and embodiment for learning
Howard, D. et al. Evolving embodied intelligence from materials to machines. Nat. Mach. Intell. 1, 12–19 (2019).
Intelligence, P. et al. π0.5: a vision-language-action model with open-world…
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Advancing Earth observation with a multi-modal remote sensing foundation model
Using optical, infrared and radar signals that come from diverse satellite platforms, remote sensing provides comprehensive observation of the Earth with different temporal, spatial and spectral resolutions. However, the complexity and…
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Modelling the spread of infectious diseases in public transport systems under varying demand patterns and capacity constraints
Our results focus on the effects of reducing demand and vehicle capacity on passenger interactions. The first part highlights the main changes in passenger behavior and differences in passenger travel patterns. The second part focuses on the…
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Variational optimization for quantum problems using deep generative networks
The VGON model
The architecture of VGON, shown in Fig. 1, consists of two deep feed-forward neural networks, the encoder Eω and the decoder Dϕ are connected via a latent layer \({{{\mathcal{Z}}}}\) containing a normal distribution
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Efficient PINNs via multi-head unimodular regularization of the solutions space
Application to three different system of ODEs
In this section, we apply the proposed methods to three different ODEs of increasing complexity. First, we address the flame equation, a first-order, non-linear ODE that presents a challenge due to its…
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General framework of nonlinear factor interactions using bayesian networks for risk analysis applied to road safety and public health
In this section, the general framework of nonlinear risk using BNs is applied to demonstrate nonlinear interactions among risk factors. The steps described correspond to the framework developed in the previous sections and the Phase IV of the…
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The analysis of fraud detection in financial market under machine learning
Data collection and pretreatment
In this study, in order to ensure the universality and representativeness of the data, more than 1 million financial transaction data were collected through multiple channels. Specifically, we first established…
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