Megvii-BaseDetection / Megvii-BaseDetection/BEVDepth

Kronecker product in the Eq.1

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Python
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Description

Hi, thanks for the work. In Eq.1 in the main paper, there is a Kronecker product between F2d_i and Dpred_i. The shape of F2d_i is (C_F, H, W) and the shape of Dpred_i is (C_D, H, W). However, based on the definition of the Kronecker product (e.g., https://pytorch.org/docs/stable/generated/torch.kron.html), the shape of output F3d_i might be (C_F * C_D, H * H, W * W) instead of (C_F, C_D, H, W). Am I missing something? Note that I understand the motivation and the logic of Eq.1 but I'm just confused about whether it is called Kronecker product. Thanks so much.

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Research direction

Start by reading Eq.1 in the main paper and compare its notation with the linked PyTorch torch.kron definition. Confirm whether the operation and resulting shape are described correctly; done means resolving the terminology or identifying the needed paper clarification.

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Assessment

Domain
documentation, machine-learning
Issue type
Documentation
Difficulty
3/5
Estimated time
1-2 days
Activity status
Stale
Clarity
Needs clarification
Newbie friendliness
32/100

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