AbstractAccelerated by the ever-growing power of computers, computational materials science has underpinned materials modeling and simulation. Many ingredients in this field, from both electronic structure and atomistic levels, can be (re)formulated into optimization problems. Numerous optimization approaches have been constantly emerging, unleashing their exceptional efficiency, robustness, an...
In statistical learning, various mathematical optimalities are used to characterize performances of different learning methods. They include minimax optimality from a worst-case standpoint and asymptotic efficiency from a rosy view that the regression function to be learned sits there to be discovered. When multiple models, e.g., trees, neural networks and support vector machines, are considere...
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