We propose an inertial proximal point method for variational inclusion involving difference of two maximal monotone vector fields in Hadamard manifolds. We prove that if the sequence generated by the method is bounded, then every cluster point is a solution of the non-monotone variational inclusion....
inertial proximal point methodKurdyka-Lojasiewicz propertynonconvex optimizationnonsmoothThe alternating direction method of multipliers (ADMM) is an efficient method for solving separable problems. However, ADMM may not converge when there is a nonconvex function in the objective. The main contributions ...
We propose a relaxed-inertial proximal point algorithm for solving equilibrium problems involving bifunctions which satisfy in the second variable a generalized convexity notion called strong quasiconvexity, introduced by Polyak (Sov Math Dokl 7:72鈥 75, 1966). The method is suitable for solving ...
The proximal point method (PPM) for solving maximal monotone operator inclusion problem is a highly powerful tool for algorithm design, analysis and interpretation. To accelerate convergence of the PPM, inertial PPM (iPPM) was proposed in the literature. In this note, we show that some of the ...
A proximal point method for nonsmooth convex optimization problems in Banach spaces In this paper we show the weak convergence and stability of the proximal point method when applied to the constrained convex optimization problem in unifor... YI Alber,RS Burachik,AN Iusem - 《Abstract & Applied...
A general inertial proximal point method for mixed variational inequality problem In this paper, we first propose a general inertial proximal point method for the mixed variational inequality (VI) problem. Based on our knowledge, without... C Chen,S Ma,J Yang - 《Eprint Arxiv》 被引量: 16...
(1) they allow using two different extrapolation points to evaluate the gradients and to add the inertial force (we will empirically show that it is more efficient than using a single extrapolation point), (2) they allow to randomly picking the block of variables to update, and (3) they ...
Multi–Step Proximal Method for Variational Inequalities with Monotone Operators The application of a proximal point approach to variational inequalities with set-valued maximal monotone operators is studied. A stable solution method is... A Kaplan,R Tichatschke - 《Lecture Notes in Economics & Mathem...
An inertial Bregman generalized alternating direction method of multiplies is investigated for solving the nonconvex optimization. The iterative schemes are formulated in the spirit of the proximal alternating direction method of multipliers and its inertial variant. The proximal term is introduced via ...
The EMG was high-pass filtered (400–500 Hz cutoff, Parks-Mclellan method), and motor unit waveforms and spike times were extracted using an existing method98. Then, clusters were manually cut using peak-to-trough features from all channels on each thread, and unit quality was assessed ...