Spurious Valleys in Two-layer Neural Network Optimization Landscapes
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Publication:5214225
zbMath1434.68464arXiv1802.06384MaRDI QIDQ5214225
Joan Bruna, Luca Venturi, Afonso S. Bandeira
Publication date: 7 February 2020
Full work available at URL: https://arxiv.org/abs/1802.06384
Artificial neural networks and deep learning (68T07) Nonconvex programming, global optimization (90C26) Learning and adaptive systems in artificial intelligence (68T05) Neural nets and related approaches to inference from stochastic processes (62M45)
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Cites Work
- Unnamed Item
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- Social welfare and profit maximization from revealed preferences
- Learning a deep convolutional neural network via tensor decomposition
- Theoretical Insights Into the Optimization Landscape of Over-Parameterized Shallow Neural Networks
- Optimization Methods for Large-Scale Machine Learning
- Deterministic Guarantees for Burer‐Monteiro Factorizations of Smooth Semidefinite Programs
- Symmetric Tensors and Symmetric Tensor Rank
- Breaking the Curse of Dimensionality with Convex Neural Networks
- On the Equivalence between Kernel Quadrature Rules and Random Feature Expansions
- Geometrical Insights for Implicit Generative Modeling
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