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An Element-wise RSAV Algorithm for Unconstrained Optimization Problems
We present a novel optimization algorithm, element-wise relaxed scalar auxiliary variable (E-RSAV), that satisfies an unconditional energy dissipation law and exhibits improved alignment between the modified and the original energy.
Energy-Dissipative Evolutionary Deep Operator Neural Networks
For an objective operator G, the Branch net encodes different input functions u at the same number of sensors, and the Trunk net evaluates the output function at any location.
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