Stochastic Optimization of PCA with Capped MSG
arXiv:1307.1674
Abstract
We study PCA as a stochastic optimization problem and propose a novel stochastic approximation algorithm which we refer to as "Matrix Stochastic Gradient" (MSG), as well as a practical variant, Capped MSG. We study the method both theoretically and empirically.
References in corpus (1)
Cited by in corpus (21)
- Online Learning: A Comprehensive Survey
- Fundamental Limits of Online and Distributed Algorithms for Statistical Learning and Estimation
- Fast, Robust and Non-convex Subspace Recovery
- Near-Optimal Stochastic Approximation for Online Principal Component Estimation
- Global Convergence of a Grassmannian Gradient Descent Algorithm for Subspace Estimation
- Large-Scale Approximate Kernel Canonical Correlation Analysis
- A Stochastic PCA and SVD Algorithm with an Exponential Convergence Rate
- A Linearly Convergent Algorithm for Distributed Principal Component Analysis
- FAST-PCA: A Fast and Exact Algorithm for Distributed Principal Component Analysis
- Rivalry of Two Families of Algorithms for Memory-Restricted Streaming PCA
- Scale Up Nonlinear Component Analysis with Doubly Stochastic Gradients
- Stochastic Optimization for Deep CCA via Nonlinear Orthogonal Iterations
- Exponentially convergent stochastic k-PCA without variance reduction
- Distributed Stochastic Algorithms for High-rate Streaming Principal Component Analysis
- Convergence of Stochastic Gradient Descent for PCA
- Communication-Efficient Distributed SVD via Local Power Iterations
- ODE-Inspired Analysis for the Biological Version of Oja's Rule in Solving Streaming PCA
- FedPower: Privacy-Preserving Distributed Eigenspace Estimation
- A C++ library for Multimodal Deep Learning
- Efficient Globally Convergent Stochastic Optimization for Canonical Correlation Analysis
- Convergence Rate of Krasulina Estimator