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Bo Jiang

Tensor Principal Component Analysis via Convex Optimization

Published: 2012/12/11
  • Bo Jiang
  • Shiqian Ma
  • Shuzhong Zhang
Categories Convex Optimization

This paper is concerned with the computation of the principal components for a general tensor, known as the tensor principal component analysis (PCA) problem. We show that the general tensor PCA problem is reducible to its special case where the tensor in question is super-symmetric with an even degree. In that case, the tensor can … Read more

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alternating direction method of multipliers augmented lagrangian method benders decomposition bilevel optimization Branch-and-Bound branch-and-cut chance constraints column generation combinatorial optimization complexity constrained optimization convex optimization cutting planes decomposition derivative-free optimization distributionally robust optimization duality dynamic programming first-order methods global convergence global optimization heuristics integer programming interior point methods large-scale optimization linear programming machine learning mixed-integer linear programming mixed-integer nonlinear programming mixed-integer programming multiobjective optimization nonconvex optimization nonlinear optimization nonlinear programming nonsmooth optimization optimal control optimization proximal point algorithm quadratic programming robust optimization semidefinite programming stochastic optimization stochastic programming trust-region methods unconstrained optimization

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