Line Search Algorithms for Locally Lipschitz Functions on Riemannian Manifolds
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W. Huang | R. Yousefpour | S. Hosseini | S. Hosseini | R. Yousefpour | W. Huang | W. Huang | W. Huang
[1] Robert Mifflin,et al. An Algorithm for Constrained Optimization with Semismooth Functions , 1977, Math. Oper. Res..
[2] S. Lang. Fundamentals of differential geometry , 1998 .
[3] Rohollah Yousefpour. Combination of steepest descent and BFGS methods for nonconvex nonsmooth optimization , 2015, Numerical Algorithms.
[4] U. Helmke,et al. Nonsmooth Riemannian Optimization with Applications to Sphere Packing and Grasping , 2007 .
[5] Dominikus Noll,et al. Convergence of Non-smooth Descent Methods Using the Kurdyka–Łojasiewicz Inequality , 2014, J. Optim. Theory Appl..
[6] Daniel Azagra Rueda,et al. Applications of proximal calculus to fixed point theory on Riemannian manifolds , 2007 .
[7] Wen Huang,et al. Optimization algorithms on Riemannian manifolds with applications , 2013 .
[8] Pei Yean Lee. Geometric optimization for computer vision , 2005 .
[9] Chong Li,et al. Mathematics 4-1-2009 Weak Sharp Minima on Riemannian Manifolds , 2014 .
[10] I. Holopainen. Riemannian Geometry , 1927, Nature.
[11] P. Grohs,et al. Nonsmooth trust region algorithms for locally Lipschitz functions on Riemannian manifolds , 2016 .
[12] D. Gabay. Minimizing a differentiable function over a differential manifold , 1982 .
[13] D K Smith,et al. Numerical Optimization , 2001, J. Oper. Res. Soc..
[14] Benedikt Wirth,et al. Optimization Methods on Riemannian Manifolds and Their Application to Shape Space , 2012, SIAM J. Optim..
[15] M. R. Pouryayevali,et al. On the metric projection onto prox-regular subsets of Riemannian manifolds , 2012 .
[16] Wen Huang,et al. A Broyden Class of Quasi-Newton Methods for Riemannian Optimization , 2015, SIAM J. Optim..
[17] Felipe Cucker,et al. Newton’s Method , 1998 .
[18] Adrian S. Lewis,et al. Nonsmooth optimization via quasi-Newton methods , 2012, Mathematical Programming.
[19] Wen Huang,et al. A Riemannian BFGS Method for Nonconvex Optimization Problems , 2015, ENUMATH.
[20] Steven Thomas Smith,et al. Optimization Techniques on Riemannian Manifolds , 2014, ArXiv.
[21] M. R. Pouryayevali,et al. Euler Characteristic of Epi-Lipschitz Subsets of Riemannian Manifolds , 2013 .
[22] S. V. N. Vishwanathan,et al. A Quasi-Newton Approach to Nonsmooth Convex Optimization Problems in Machine Learning , 2008, J. Mach. Learn. Res..
[23] Pierre-Antoine Absil,et al. Oriented Bounding Box Computation Using Particle Swarm Optimization , 2010, ESANN.
[24] Robert E. Mahony,et al. Optimization Algorithms on Matrix Manifolds , 2007 .
[25] R. Adler,et al. Newton's method on Riemannian manifolds and a geometric model for the human spine , 2002 .
[27] R. Riddell,et al. Minimax problems on Grassmann manifolds. Sums of eigenvalues , 1984 .
[28] John Wright,et al. Finding a Sparse Vector in a Subspace: Linear Sparsity Using Alternating Directions , 2014, IEEE Transactions on Information Theory.
[29] C. Udriste,et al. Convex Functions and Optimization Methods on Riemannian Manifolds , 1994 .
[30] Daniel Azagra Rueda,et al. Nonsmooth analysis and Hamilton-Jacobi equations on Riemannian manifolds , 2005 .
[31] Philipp Grohs,et al. ε-subgradient algorithms for locally lipschitz functions on Riemannian manifolds , 2015, Advances in Computational Mathematics.
[32] Pierre-Antoine Absil,et al. Riemannian BFGS Algorithm with Applications , 2010 .
[33] Wen Huang,et al. Intrinsic representation of tangent vectors and vector transports on matrix manifolds , 2017, Numerische Mathematik.
[34] Pierre-Antoine Absil,et al. Fast Oriented Bounding Box Computation Using Particle Swarm Optimization (abstract) , 2009, ESANN 2009.
[35] Paulo Roberto Oliveira,et al. Proximal point method for a special class of nonconvex functions on Hadamard manifolds , 2008, 0812.2201.
[36] M. R. Pouryayevali,et al. Generalized gradients and characterization of epi-Lipschitz sets in Riemannian manifolds , 2011 .
[37] Nezam Mahdavi-Amiri,et al. An Effective Nonsmooth Optimization Algorithm for Locally Lipschitz Functions , 2012, J. Optim. Theory Appl..
[38] André Uschmajew,et al. A Riemannian Gradient Sampling Algorithm for Nonsmooth Optimization on Manifolds , 2017, SIAM J. Optim..