Minimizing the Moreau envelope of nonsmooth convex functions over the fixed point set of certain quasi-nonexpansive mappings

I Yamada, M Yukawa, M Yamagishi - … for Inverse Problems in Science and …, 2011 - Springer
The first aim of this paper is to present a useful toolbox of quasi-nonexpansive mappings for
convex optimization from the viewpoint of using their fixed point sets as constraints. Many …

An adaptive projected subgradient approach to learning in diffusion networks

RLG Cavalcante, I Yamada… - IEEE Transactions on …, 2009 - ieeexplore.ieee.org
We present an algorithm that minimizes asymptotically a sequence of nonnegative convex
functions over diffusion networks. In the proposed algorithm, at each iteration the nodes in …

A distributed subgradient method for dynamic convex optimization problems under noisy information exchange

RLG Cavalcante, S Stanczak - IEEE Journal of Selected Topics …, 2013 - ieeexplore.ieee.org
We consider a convex optimization problem for non-hierarchical agent networks where each
agent has access to a local or private time-varying function, and the network-wide objective …

Adaptive parallel quadratic-metric projection algorithms

M Yukawa, K Slavakis, I Yamada - IEEE transactions on audio …, 2007 - ieeexplore.ieee.org
This paper indicates that an appropriate design of metric leads to significant improvements
in the adaptive projected subgradient method (APSM), which unifies a wide range of …

Steady-state mean-square performance analysis of a relaxed set-membership NLMS algorithm by the energy conservation argument

N Takahashi, I Yamada - IEEE Transactions on Signal …, 2009 - ieeexplore.ieee.org
This paper presents an analysis of the steady-state mean-square error (MSE) of the set-
membership normalized least-mean square (SM-NLMS) algorithm with relaxation and …

[PDF][PDF] A unified view of adaptive variable-metric projection algorithms

M Yukawa, I Yamada - EURASIP Journal on Advances in Signal …, 2009 - Springer
We present a unified analytic tool named variable-metric adaptive projected subgradient
method (V-APSM) that encompasses the important family of adaptive variable-metric …

Pairwise optimal weight realization—Acceleration technique for set-theoretic adaptive parallel subgradient projection algorithm

M Yukawa, I Yamada - IEEE transactions on signal processing, 2006 - ieeexplore.ieee.org
The adaptive parallel subgradient projection (PSP) algorithm was proposed in 2002 as a set-
theoretic adaptive filtering algorithm providing fast and stable convergence, robustness …

Multiaccess interference suppression in orthogonal space–time block coded MIMO systems by adaptive projected subgradient method

RLG Cavalcante, I Yamada - IEEE Transactions on Signal …, 2008 - ieeexplore.ieee.org
This paper introduces adaptive filters that are effective to suppress multiple access
interference (MAI) in orthogonal space-time block coded/multiple-input multiple-output …

Robust reduced-rank adaptive algorithm based on parallel subgradient projection and Krylov subspace

M Yukawa, RC De Lamare… - IEEE Transactions on …, 2009 - ieeexplore.ieee.org
In this paper, we propose a novel reduced-rank adaptive filtering algorithm exploiting the
Krylov subspace associated with estimates of certain statistics of input and output signals …

Multi-domain adaptive learning based on feasibility splitting and adaptive projected subgradient method

M Yukawa, K Slavakis, I Yamada - IEICE transactions on …, 2010 - search.ieice.org
We propose the multi-domain adaptive learning that enables us to find a point meeting
possibly time-varying specifications simultaneously in multiple domains, eg space, time …