• Adam

  • Referenced in 898 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 133 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...
  • KELLEY

  • Referenced in 643 articles [sw04829]
  • methods studied in this first part rely on the availability and accuracy of first order ... order derivatives of the objective function. The first part contains five chapters. The first chapter ... which are used to demonstrate all methods discussed in the first part. Chapter 2 studies...
  • SCS

  • Referenced in 53 articles [sw16632]
  • Self-Dual Embedding. We introduce a first order method for solving very large cone programs ... method uses an operator splitting method, the alternating directions method of multipliers, to solve ... 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...
  • GQTPAR

  • Referenced in 334 articles [sw07451]
  • method has a limit point which satisfies the first and second order necessary conditions ... quite successful in a trust region method. In our tests a call to GQTPAR only...
  • SDPNAL+

  • Referenced in 59 articles [sw13239]
  • without nonnegative constraints show that the proposed method is not only fast but also robust ... margin, two other competitive publicly available first order methods based codes: (1) an alternating direction ... Monteiro et al. [“A first-order block-decomposition method for solving two-easy-block structured...
  • PESTO

  • Referenced in 36 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 42 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...
  • FPC_AS

  • Referenced in 70 articles [sw12218]
  • first stage a first-order iterative “shrinkage” method yields an estimate of the subset...
  • CafeOBJ

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

  • Referenced in 69 articles [sw39429]
  • called ADADELTA. The method dynamically adapts over time using only first order information...
  • SETHEO

  • Referenced in 122 articles [sw00707]
  • prover for first order logic. The system is based on the connection method...
  • 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...
  • 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...
  • ode23

  • Referenced in 335 articles [sw06600]
  • ode23: Solve nonstiff differential equations; low order method. [T,Y] = solver(odefun,tspan,y0) with ... with initial conditions y0. The first input argument, odefun, is a function handle. The function...
  • numDeriv

  • Referenced in 63 articles [sw11621]
  • package provide methods for calculating (usually) accurate numerical first and second order derivatives. Accurate calculations ... step derivative is available. A simple difference method is also provided. Simple difference is (usually...
  • QUIC

  • Referenced in 34 articles [sw11795]
  • state-of-the-art methods that largely use first order gradient information, our algorithm...
  • GFORCE

  • Referenced in 23 articles [sw06607]
  • that of the Godunov first-order upwind method. Then we incorporate GFORCE in the framework...
  • 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...
  • 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 ... performance of a Block-Decomposition (BD) method based on the BD-hybrid proximal extra-gradient ... contribution of the paper is two-fold: firstly, the authors introduce an adaptive choice...