Results 91 to 100 of about 1,963,970 (223)

Random gradient-free minimization of convex functions [PDF]

In this paper, we prove the complexity bounds for methods of Convex Optimization based only on computation of the function value. The search directions of our schemes are normally distributed random Gaussian vectors.
NESTEROV, Yurii
core  

A Quaternion-Valued Neural Network Approach to Nonsmooth Nonconvex Constrained Optimization in Quaternion Domain

, 2023
Based on the framework of differential inclusion, we design a quaternion-valued neural network (QVNN) to solve a class of nonsmooth nonconvex optimization problems with equality, bounded and inequality constraints in quaternion domain.
Liu, J, Liao, X, Dong, JS
core   +1 more source

Nonsmooth KKT-type optimality and duality for multiobjective fractional bilevel optimization via tangential subdifferentials

Results in Applied Mathematics
This paper studies a class of nondifferentiable multiobjective fractional bilevel optimization problems. Under suitable nonsmooth constraint qualifications, necessary optimality conditions of the Karush– Kuhn–Tucker (KKT) type are established using ...
Rishabh Pandey, Savin Treanţă, Yogendra Pandey, Vinay Singh   +3 more
doaj   +1 more source

A New Nonsmooth Bundle-Type Approach for a Class of Functional Equations in Hilbert Spaces

Journal of Function Spaces, 2017
A new bundle-type approach for solving a class of functional equations is presented by combining bundle idea for nonsmooth optimization with common iterative process for functional equations.
Jie Shen, Miao Tian, Fang-Fang Guo, Jun-Nan Zhang   +3 more
doaj   +1 more source

A nonsmooth optimization approach to H ∞ synthesis

, 2005
A nonsmooth optimization approach to H ...
Musa Mammadov (13085340), R Orsi (13562863)   +1 more
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Variational Methods for Control and Design of Bipedal Robot Models [PDF]

, 2010
This thesis investigates nonsmooth mechanics using variational methods for the modeling, control, and design of bipedal robots. The theory of Lagrangian mechanics is extended to capture a variety of nonsmooth collision behaviors in rigid body systems.
Pekarek, David N.
core   +1 more source

A New Proximal Iteratively Reweighted Nuclear Norm Method for Nonconvex Nonsmooth Optimization Problems

Mathematics
This paper proposes a new proximal iteratively reweighted nuclear norm method for a class of nonconvex and nonsmooth optimization problems. The primary contribution of this work is the incorporation of line search technique based on dimensionality ...
Zhili Ge, Siyu Zhang, Xin Zhang, Yan Cui
doaj   +1 more source

Resonant nonlinear periodic problems with the scalar p-Laplacian and a nonsmooth potential [PDF]

, 2006
We study periodic problems driven by the scalar p-Laplacian with a nonsmooth potential. Using the nonsmooth critical point theory for locally Lipsctiz functions,we prove two existence theorems under conditions of resonance at infinity with respect to ...
Staicu, Vasile, Aizicovici, Sergiu, Aizicovici, S, Papageorgiou, NS, Papageorgiou, Nikolaos S., Papageorgiou, Nikolaos, Staicu, V   +6 more
core  

Data classification through nonsmooth optimization [PDF]

, 2003
"The purpose of this thesis is to develop and test new methods for data classification based on mathematical programming and nonsmooth optimization."Doctor of ...
Soukhoroukova, Nadejda
core  

Incremental and Parallel Machine Learning Algorithms With Automated Learning Rate Adjustments

Frontiers in Robotics and AI, 2019
The existing machine learning algorithms for minimizing the convex function over a closed convex set suffer from slow convergence because their learning rates must be determined before running them.
Kazuhiro Hishinuma, Hideaki Iiduka
doaj   +1 more source