Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: RIM-Net: Recursive Implicit Fields for Unsupervised Learning of
  Hierarchical Shape Structures   We introduce RIM-Net, a neural network which learns recursive implicit fields
for unsupervised inference of hierarchical shape structures. Our network
recursively decomposes an input 3D shape into two parts, resulting in a binary
tree hierarchy. Each level of the tree corresponds to an assembly of shape
parts, represented as implicit functions, to reconstruct the input shape. At
each node of the tree, simultaneous feature decoding and shape decomposition
are carried out by their respective feature and part decoders, with weight
sharing across the same hierarchy level. As an implicit field decoder, the part
decoder is designed to decompose a sub-shape, via a two-way branched
reconstruction, where each branch predicts a set of parameters defining a
Gaussian to serve as a local point distribution for shape reconstruction. With
reconstruction losses accounted for at each hierarchy level and a decomposition
loss at each node, our network training does not require any ground-truth
segmentations, let alone hierarchies. Through extensive experiments and
comparisons to state-of-the-art alternatives, we demonstrate the quality,
consistency, and interpretability of hierarchical structural inference by
RIM-Net.

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The categories of this paper are: plasm-ph
2
The categories of this paper are: math
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
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The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int