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Lagrange multiplier

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Improved Bounds for Discretization of Langevin Diffusions: Near-Optimal Rates without Convexity

Nicolas Henri Bernard Flammarion

We consider minimizing a nonconvex, smooth function

f

on a Riemannian manifold

\mathcal{M}

. We show that a perturbed version of Riemannian gradient descent algorithm converges to a second-order stationary point (and hence is able to escape saddle point ...

2019

Lagrange multiplier

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Coupling non-conforming discretizations of PDEs by spectral approximation of the Lagrange multiplier space

Learning Generalized Nash Equilibria in a Class of Convex Games

Safe Convex Learning under Uncertain Constraints

Improved Bounds for Discretization of Langevin Diffusions: Near-Optimal Rates without Convexity

A saddle point approach to an optimal boundary control problem for steady Navier-Stokes equations

Escaping from saddle points on Riemannian manifolds

Accuracy Assessment of Nonlinear Seismic Displacement Demand Predicted by Simplified Methods for the Plateau Range of Design Response Spectra

Biomembrane modeling with isogeometric analysis

Optimal Lagrange Multipliers for Dependent Rate Allocation in Video Coding

A Lagrangian relaxation technique for the demand-based benefit maximization problem

Escaping from saddle points on Riemannian manifolds

Accuracy Assessment of Nonlinear Seismic Displacement Demand Predicted by Simplified Methods for the Plateau Range of Design Response Spectra

Biomembrane modeling with isogeometric analysis

Coupling non-conforming discretizations of PDEs by spectral approximation of the Lagrange multiplier space

Learning Generalized Nash Equilibria in a Class of Convex Games

Safe Convex Learning under Uncertain Constraints

Improved Bounds for Discretization of Langevin Diffusions: Near-Optimal Rates without Convexity

A saddle point approach to an optimal boundary control problem for steady Navier-Stokes equations

Optimal Lagrange Multipliers for Dependent Rate Allocation in Video Coding

A Lagrangian relaxation technique for the demand-based benefit maximization problem