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Composite Bayesian Optimization in function spaces using NEON—Neural Epistemic Operator Networks
Published 2024-11-01“…Abstract Operator learning is a rising field of scientific computing where inputs or outputs of a machine learning model are functions defined in infinite-dimensional spaces. …”
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Solving Spatial Optimization Problems via Lagrangian Relaxation and Automatic Gradient Computation
Published 2025-01-01“…As such, the human expert only needs to implement the Lagrangian problem in a scientific computing language (such as Python), and the system can find the (sub)gradients of this code, even if it contains complex loops and conditional statements. …”
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A Study of Coupling Parameter Estimation Implemented by 4D-Var and EnKF with a Simple Coupled System
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Efficient Probabilistic and Geometric Anatomical Mapping Using Particle Mesh Approximation on GPUs
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Monte Carlo Algorithm For Matrices in Solving Systems of Linear Equations, Determinants, Inverse, Eigen Values, and Eigenvectors.
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A Novel Numerical Treatment to One Dimensional Heat and Wave Equations with Second Order Accuracy
Published 2024-09-01“…Numerical solutions to partial differential equations (PDEs) play a vital role in modeling complex physical phenomena across scientific computing and engineering disciplines. Achieving stable, accurate solutions requires careful selection of numerical methods and parameters. …”
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Influenza Immunization in Very-Low-Birth-Weight Infants: Epidemiology and Long-Term Outcomes
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Advanced Fractional Mathematics, Fractional Calculus, Algorithms and Artificial Intelligence with Applications in Complex Chaotic Systems
Published 2023-12-01“…Therefore, mathematical modeling and scientific computing are among the chief tools to solve the challenges and problems related to complex and chaotic systems through innovative ways ascribed to data science with a precisely tailored approach which can examine the data applied. …”
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Artificial Intelligence in Science and Society: The Vision of USERN
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Modeling shrimp biomass and viral infection for production of biological countermeasures
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A comparison of computational efficiencies of stochastic algorithms in terms of two infection models
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The estimation of the effective reproductive number from disease outbreak data
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Dynamic Multidrug Therapies for HIV: Optimal and STI Control Approaches
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