Existence and blow‐up behavior of standing waves for the Gross–Pitaevskii functional with a higher order interaction
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DOI: 10.1002/mma.6434
Abstract: We study the constraint minimization problem related to the Gross-Pitaevskii functional with a higher order interaction I a := inf { E a(φ) : φ ∈ H(R2), ‖φ‖L2 = 1 } , where δ >… read more here.
Keywords: order interaction; higher order; functional higher; gross pitaevskii ... See more keywords
Effects of Higher Order Interaction on Vortex Formation in Bose-Einstein Condensates
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DOI: 10.1007/s10773-021-04801-4
Abstract: We consider theoretically the formation of vortex in rotating Bose-Einstein condensates (BECs) with higher order interaction (HOI). Our results are obtained from the twodimensional Gross-Pitaevskii equation. As the first step, for the certain number vortices,… read more here.
Keywords: formation; einstein condensates; bose einstein; higher order ... See more keywords
Attentional Factorized Q-Learning for Many-Agent Learning
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DOI: 10.1109/access.2022.3214481
Abstract: The difficulty of Multi-Agent Reinforcement Learning (MARL) increases with the growing number of agents in system. The value function decomposition is an effective way to alleviate the curse of dimension. However, the existing methods usually… read more here.
Keywords: value function; high order; agent; decomposition ... See more keywords
High-Order Interaction Learning for Image Captioning
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DOI: 10.1109/tcsvt.2021.3121062
Abstract: Image captioning aims at understanding various semantic concepts (e.g., objects and relationships) from an image and integrating them in a sentence-level description. Hence, it is necessary to learn the interaction among these concepts. If we… read more here.
Keywords: interaction; high order; order interaction; order ... See more keywords