2021
DOI: 10.48550/arxiv.2110.09578
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Permutation Invariance of Deep Neural Networks with ReLUs

Abstract: Consider a deep neural network (DNN) that is being used to suggest the direction in which an aircraft must turn to avoid a possible collision with an intruder aircraft. Informally, such a network is well-behaved if it asks the ownship to turn right (left) when an intruder approaches from the left (right). Consider another network that takes four inputs -the cards dealt to the players in a game of contract bridge -and decides which team can bid game. Loosely speaking, if you exchange the hands of partners (nort… Show more

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