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cs.LG2021
Geometry of Linear Convolutional Networks
Kathlén Kohn, Thomas Merkh, Guido Montúfar +1
We study the family of functions that are represented by a linear convolutional neural network (LCN). These functions form a semi-algebraic subset of the set of linear maps from in…
math.OC2021★ 4 cited
Symmetry Breaking in Symmetric Tensor Decomposition
Yossi Arjevani, Joan Bruna, Michael Field +3
In this note, we consider the highly nonconvex optimization problem associated with computing the rank decomposition of symmetric tensors. We formulate the invariance properties of…