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math.OC2019★ 7 cited
Approximating Orthogonal Matrices with Effective Givens Factorization
Thomas Frerix, Joan Bruna
We analyze effective approximation of unitary matrices. In our formulation, a unitary matrix is represented as a product of rotations in two-dimensional subspaces, so-called Givens…
math.OC2018
Spurious Valleys in Two-layer Neural Network Optimization Landscapes
Luca Venturi, Afonso S. Bandeira, Joan Bruna
Neural networks provide a rich class of high-dimensional, non-convex optimization problems. Despite their non-convexity, gradient-descent methods often successfully optimize these…