Results 51 to 60 of about 1,099,998 (291)
Derivative-Free Optimization of Noisy Functions via Quasi-Newton Methods [PDF]
SIAM Journal on Optimization, 2018 This paper presents a finite difference quasi-Newton method for the minimization of noisy functions. The method takes advantage of the scalability and power of BFGS updating, and employs an adaptive procedure for choosing the differencing interval $h ...
A. Berahas, R. Byrd, J. Nocedal
semanticscholar +1 more source
Learning to Optimize Quasi-Newton Methods
CoRR, 2022 Fast gradient-based optimization algorithms have become increasingly essential for the computationally efficient training of machine learning models. One technique is to multiply the gradient by a preconditioner matrix to produce a step, but it is unclear what the best preconditioner matrix is.
Isaac Liao +3 more
openaire +3 more sources
Stochastic Quasi-Newton Methods for Nonconvex Stochastic Optimization [PDF]
SIAM Journal on Optimization, 2016 In this paper we study stochastic quasi-Newton methods for nonconvex stochastic optimization, where we assume that only stochastic information of the gradients of the objective function is available via a stochastic first-order oracle (SFO).
Xiao Wang +3 more
semanticscholar +1 more source
Quasi-Newton Methods for Real-Time Simulation of Hyperelastic Materials
TOGS, 2017 We present a new method for real-time physics-based simulation supporting many different types of hyperelastic materials. Previous methods such as Position-Based or Projective Dynamics are fast but support only a limited selection of materials; even ...
Tiantian Liu, Sofien Bouaziz, L. Kavan
semanticscholar +1 more source
On Quasi-Newton Forward-Backward Splitting: Proximal Calculus and Convergence [PDF]
SIAM Journal on Optimization, 2018 We introduce a framework for quasi-Newton forward--backward splitting algorithms (proximal quasi-Newton methods) with a metric induced by diagonal $\pm$ rank-$r$ symmetric positive definite matrices.
Stephen Becker, M. Fadili, Peter Ochs
semanticscholar +1 more source
Advanced Robotics Research, EarlyView.A codesign multiobjective optimization framework was developed to enhance the morphology and controller of a snake‐like robot driven by artificial muscles. It improved planar locomotion, agility, and power efficiency. The approach optimized link geometry and controller gains, revealing that shorter muscles near joints and longer linkages maximize ...
Ayla Valles, Mahdi Haghshenas‐Jaryani
wiley +1 more source
Numerical Modeling of Photothermal Self‐Excited Composite Oscillators
Advanced Robotics Research, EarlyView.We present a numerical framework for simulating photothermal self‐excited oscillations. The driving mechanism is elucidated by highlighting the roles of inertia and overshoot, as well as the phase lag between the thermal moment and the oscillation angle, which together construct the feedback loop between the system state and the environmental stimulus.
Zixiao Liu +6 more
wiley +1 more source
Journal of Applied Mathematics, 2013 We present a new diagonal quasi-Newton update with an improved diagonal Jacobian approximation for solving large-scale systems of nonlinear equations. In this approach, the Jacobian approximation is derived based on the quasi-Cauchy condition.
Mohammed Yusuf Waziri +1 more
doaj +1 more source
Revista Árvore, 2009 Objetivou-se, neste trabalho, avaliar o ajuste do modelo volumétrico de Schumacher e Hall por diferentes algoritmos, bem como a aplicação de redes neurais artificiais para estimação do volume de madeira de eucalipto em função do diâmetro a 1,30 m do solo
Mayra Luiza Marques da Silva +3 more
doaj +1 more source
Forward–backward quasi-Newton methods for nonsmooth optimization problems [PDF]
Computational optimization and applications, 2016 The forward–backward splitting method (FBS) for minimizing a nonsmooth composite function can be interpreted as a (variable-metric) gradient method over a continuously differentiable function which we call forward–backward envelope (FBE).
Lorenzo Stella +2 more
semanticscholar +1 more source