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Some convergently three-term trust region conjugate gradient algorithms under gradient function non-Lipschitz continuity
This paper introduces two three-term trust region conjugate gradient algorithms, TT-TR-WP and TT-TR-CG, which are capable of converging under...
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Harnessing the potential of shared data in a secure, inclusive, and resilient manner via multi-key homomorphic encryption
In this manuscript, we develop a multi-party framework tailored for multiple data contributors seeking machine learning insights from combined data...
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Multi-batch single-cell comparative atlas construction by deep learning disentanglement
Cell state atlases constructed through single-cell RNA-seq and ATAC-seq analysis are powerful tools for analyzing the effects of genetic and drug...
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Entropic measure unveils country competitiveness and product specialization in the World trade web
We show how the Shannon entropy function can be used as a basis to set up complexity measures weighting the economic efficiency of countries and the...
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The Health Gym: synthetic health-related datasets for the development of reinforcement learning algorithms
In recent years, the machine learning research community has benefited tremendously from the availability of openly accessible benchmark datasets....
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Modulating human memory for complex scenes with artificially generated images
Visual memory schemas (VMS) are two-dimensional memorability maps that capture the most memorable regions of a given scene, predicting with a high...
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De novo generation of hit-like molecules from gene expression signatures using artificial intelligence
Finding new molecules with a desired biological activity is an extremely difficult task. In this context, artificial intelligence and generative...
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Supersonic turbulent flow simulation using a scalable parallel modal discontinuous Galerkin numerical method
The scalability and efficiency of numerical methods on parallel computer architectures is of prime importance as we march towards exascale computing....
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Osteoporosis Recognition in Rats under Low-Power Lens Based on Convexity Optimization Feature Fusion
Considering the poor medical conditions in some regions of China, this paper attempts to develop a simple and easy way to extract and process the...
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A novel method for calculating the dynamic capillary force and correcting the pressure error in micro-tube experiment
Micro-tube experiment has been implemented to understand the mechanisms of governing microcosmic fluid percolation and is extensively used in both...
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Metastability for discontinuous dynamical systems under Lévy noise: Case study on Amazonian Vegetation
For the tip** elements in the Earth’s climate system, the most important issue to address is how stable is the desirable state against random...
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Enhanced image fusion using directional contrast rules in fuzzy transform domain
In this paper a novel image fusion algorithm based on directional contrast in fuzzy transform (FTR) domain is proposed. Input images to be fused are...
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An energy conduction model for cell image segmentation
Cell image segmentation is an essential step in cytopathological analysis. Although their execution speed is fast, the results of cell image...
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An overview on distance and pseudo distance functions and their applications
The fast and accurate collision detection and distance calculation between geometric models is fundamental in robotics, manufacturing and...
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Global convergence property ofs-dependent GFR conjugate gradient method
An S -dependent GFR method and a generalized conjugate gradient method are designed. Two estimated values of upper bounds for the ratio of β k to β
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Inelastic Shocks with or without Friction: Existence Results
In this Chapter, we prove convergence for algorithms arising in the study of the dynamics of a mechanical system with a finite number of degrees of...
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Global Methods in Optimal Control Theory
The paper contains a survey of theoretical and practical results connected with sufficient conditions for global optimality of controlled dynamic...
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A Theory of Generalized Solutions to First-Order PDEs with an Emphasis on Differential Games
It is well known that in many applications connected with boundary value problems and Cauchy problems for Hamilton-Jacobi equations and other types...
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Introductory Material
The Integral Equation Method has a long history that goes back to 1903 when Fredholm [Fre03] published his rigorous work on integral equations...
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Optimization of a Stefan problem by nonsmooth methods
A problem of evaluation of Clarke’s generalized gradient within optimization of discretized systems with a nonsmooth state operator is discussed. An...