• PESTO

  • Referenced in 18 articles [sw20864]
  • variants of fast proximal gradient, conditional gradient, subgradient and alternating projection methods. In particular ... worst-case guarantee for the conditional gradient method by more than a factor ... also show how the optimized gradient method proposed by Kim and Fessler ... fast as the standard accelerated proximal gradient method...
  • ParNes

  • Referenced in 12 articles [sw08366]
  • rely on Nesterov’s accelerated proximal gradient method, which takes $O(sqrt {1/varepsilon })$ iterations...
  • AdaGrad

  • Referenced in 85 articles [sw22202]
  • present a new family of subgradient methods that dynamically incorporate knowledge of the geometry ... earlier iterations to perform more informative gradient-based learning. Metaphorically, the adaptation allows ... stochastic optimization and online learning which employ proximal functions to control the gradient steps ... analyze an apparatus for adaptively modifying the proximal function, which significantly simplifies setting a learning...
  • 2EBD-HPE

  • Referenced in 11 articles [sw31879]
  • Block-Decomposition (BD) method based on the BD-hybrid proximal extra-gradient. The main contribution ... gradient step and then they use a scaling factor to balance the blocks. The method...
  • SLEP

  • Referenced in 34 articles [sw13487]
  • evaluate the function value and the gradient; and thus the algorithms can handle large-scale ... order black-box methods. 3) Efficient Projection. The projection problem (proximal operator) can be solved...
  • iPiano

  • Referenced in 42 articles [sw09623]
  • iPiano: inertial proximal algorithm for nonconvex optimization. In this paper we study an algorithm ... nonsmooth split version of the Heavy-ball method from Polyak. A rigorous analysis ... used to prove convergence for several other gradient methods. First, an abstract convergence theorem...
  • SVR-AMA

  • Referenced in 1 article [sw29521]
  • used in the context of proximal stochastic gradient methods (Prox-SVRG) and on the alternating...
  • MDC-ELLIPSOIDs

  • Referenced in 8 articles [sw22577]
  • linear equations with the Newton-Raphson method with analytical Jacobians. The system of non-linear ... vector calculus, is derived as the gradient of the implicit function. The Householder transformation ... them is collinear to the surface normal. Proximity queries were also implemented to test ... separate condition) contact detection. Note that the proximity queries do not calculate the minimum distance...
  • NPPC

  • Referenced in 4 articles [sw08728]
  • cost. NPPC classifies binary patterns by the proximity ... constraints and solved it by Newton’s method and the solution is updated by solving ... system of linear equations by conjugate gradient method. The performance of the reformulated NPPC...
  • FarRSA

  • Referenced in 1 article [sw25237]
  • norm regularizer. The main features of the method include: (i) an evolving set of indices ... subproblem must be solved, which allow conjugate gradient or coordinate descent techniques to be employed ... updated; and (v) a reduced proximal gradient step that ensures a sufficient decrease ... expanded. We prove global convergence of the method and demonstrate its performance...
  • AMD

  • Referenced in 51 articles [sw00039]
  • Algorithm 837: AMD is a set of routines...
  • ATLAS

  • Referenced in 195 articles [sw00056]
  • This paper describes the Automatically Tuned Linear Algebra...
  • GAP

  • Referenced in 2702 articles [sw00320]
  • GAP is a system for computational discrete algebra...
  • HSL

  • Referenced in 265 articles [sw00418]
  • HSL (formerly the Harwell Subroutine Library) is a...
  • ISOGAT

  • Referenced in 268 articles [sw00457]
  • A tutorial 2D MATLAB code for solving elliptic...
  • KNITRO

  • Referenced in 165 articles [sw00490]
  • KNITRO is a solver for nonlinear optimization. It...
  • LANCELOT

  • Referenced in 293 articles [sw00500]
  • LANCELOT. A Fortran package for large-scale nonlinear...
  • LAPACK

  • Referenced in 1586 articles [sw00503]
  • LAPACK is written in Fortran 90 and provides...
  • LEDA

  • Referenced in 258 articles [sw00509]
  • In the core computer science areas -- data structures...
  • LSQR

  • Referenced in 343 articles [sw00530]
  • Algorithm 583: LSQR: Sparse Linear Equations and Least...