• Adam

  • Referenced in 737 articles [sw22205]
  • Method for Stochastic Optimization. We introduce Adam, an algorithm for first-order gradient-based optimization ... adaptive estimates of lower-order moments. The method is straightforward to implement, is computationally efficient...
  • NESTA

  • Referenced in 131 articles [sw06576]
  • NESTA: A fast and accurate first-order method for sparse recovery. Accurate signal recovery ... smoothing technique and an accelerated first-order algorithm, both from {it Yu. Nesterov} [Math. Program ... with recently proposed state-of-the-art methods. We also apply the algorithm to solve...
  • SCS

  • Referenced in 47 articles [sw16632]
  • first order method for solving very large cone programs to modest accuracy. The method uses ... operator splitting method, the alternating directions method of multipliers, to solve the homogeneous self-dual ... favorable properties. Compared to interior-point methods, first-order methods scale to very large problems ... lower accuracy. Compared to other first-order methods for cone programs, our approach finds both...
  • PESTO

  • Referenced in 34 articles [sw20864]
  • them: Exact worst-case performance of first-order methods for composite convex optimization. We provide ... broad class of oracle-based first-order methods for composite convex optimization, including those performing...
  • SLEP

  • Referenced in 41 articles [sw13487]
  • with Efficient Projections. Main Features: 1) First-Order Method. At each iteration, we only need ... smooth convex optimization via the first-order black-box methods. 3) Efficient Projection. The projection...
  • CafeOBJ

  • Referenced in 171 articles [sw06232]
  • supported method for verifying safety properties of dynamic systems based on the first-order description...
  • FPC_AS

  • Referenced in 68 articles [sw12218]
  • first stage a first-order iterative “shrinkage” method yields an estimate of the subset...
  • SDPNAL+

  • Referenced in 53 articles [sw13239]
  • publicly available first order methods based codes: (1) an alternating direction method of multipliers based ... Monteiro et al. [“A first-order block-decomposition method for solving two-easy-block structured...
  • REDLOG

  • Referenced in 166 articles [sw04250]
  • algorithms for the symbolic manipulation of first-order formulas over some temporarily fixed language ... theory. In contrast to theorem provers, the methods applied know about the underlying algebraic theory...
  • na28

  • Referenced in 16 articles [sw11502]
  • total variation image reconstruction via first-order methods. This paper describes new algorithms and related ... based on one of Nesterov’s first-order methods, tailored to the image processing applications...
  • MUSTA

  • Referenced in 12 articles [sw09091]
  • MUSTA: a multi-stage numerical flux. Numerical methods for conservation laws constructed in the framework ... first-order mode we observe that the scheme achieves the accuracy of the Godunov method ... Riemann solver, which is the reference first-order method for hyperbolic systems. At least ... scheme is the best of all first-order monotone schemes, it has the smallest truncation...
  • GFORCE

  • Referenced in 22 articles [sw06607]
  • that of the Godunov first-order upwind method. Then we incorporate GFORCE in the framework...
  • 2EBD-HPE

  • Referenced in 15 articles [sw31879]
  • first-order block-decomposition method for solving two-easy-block structured semidefinite programs. The paper ... deals with a new first-order block-decomposition method which is proposed to minimize...
  • SEISCOPE

  • Referenced in 6 articles [sw19396]
  • FORTRAN 90 routines, which implement first-order methods (steepest-descent and nonlinear conjugate gradient ... this class of problems presents two advantages. First, it helps to separate the routines depending ... from faster convergence rates compared to first-order methods, significant improvements in terms of computational...
  • FOM

  • Referenced in 6 articles [sw27158]
  • MATLAB toolbox of first-order methods for solving convex optimization problems. This paper presents ... solving convex optimization problems using first-order methods. The diverse features of the eight solvers...
  • ODEtools

  • Referenced in 12 articles [sw09257]
  • Computer algebra solving of first order ODEs using symmetry methods. A Maple V R.3/4 computer ... solving of first-order ordinary differential equations (ODEs) using Lie group symmetry methods is presented ... commands includes a first-order ODE solver and routines for, among other things: the explicit...
  • FiOrdOs

  • Referenced in 7 articles [sw06277]
  • automated C-code generation of first-order methods for parametric convex programs with a quadratic...
  • TRICE

  • Referenced in 46 articles [sw05197]
  • methods, including many iterative techniques.par Global convergence of these algorithms to a first-order Karush...
  • ipfilter

  • Referenced in 72 articles [sw04778]
  • globalize the primal-dual interior-point method for nonlinear optimization, avoiding the use of merit ... dual step obtained from the perturbed first-order necessary conditions into a normal...
  • CDCS

  • Referenced in 3 articles [sw17618]
  • sparse SDPs. We propose an efficient first-order method, based on the alternating direction method ... cost of our method is the same as applying a splitting method to the primal ... approach is more efficient than other first-order methods for generic sparse conic programs since ... semidefinite cones. In contrast to previous first-order methods that exploit chordal sparsity, our algorithm...