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I'm replicating a particular network architecture which is very sparse with its details. One part of said architecture is shown in the image, where h is a 1x1024 or 1024x1 output from a transformer and needs to be combined with the output of an MLP to produce a 1x55 or 55x1 vector, with the order of the dimensions not mattering. As such the matrix multiplication step should involve either multiplying (55 x k) and (k x 1), or (1 x k) and (k x 55) matrices. The input to the MLP is a (55 x 32) matrix flattened to a (1760 x 1) vector. For context, this input encodes item information from a game about 55 items. h contains information about the current game state and we want to produce a policy pi for selecting an item.

The constraints of the matrix multiplication mean that I need to perform some kind of dimensionality increase or reduction on either the elements of h or the output of the MLP. However, I'm not really sure what would be best in this case as I don't have much experience with building neural networks in general. Any advice would be appreciated.

enter image description here

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You can try padding, which compensates the dimension with numbers (e.g., zero). This practice is very common in deep learning to have a desire embedding.

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  • $\begingroup$ To improve this answer add some explanatory text about what padding is. Links can break or become invalid so it's best to include enough information to make the answer self-contained and durable $\endgroup$
    – respectful
    Jan 31, 2023 at 22:40

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