Playing with duality: An overview of recent primal? dual approaches for solving large-scale optimization problems

N Komodakis, JC Pesquet - IEEE Signal Processing Magazine, 2015 - ieeexplore.ieee.org
Optimization methods are at the core of many problems in signal/image processing,
computer vision, and machine learning. For a long time, it has been recognized that looking …

A survey of stochastic simulation and optimization methods in signal processing

M Pereyra, P Schniter, E Chouzenoux… - IEEE Journal of …, 2015 - ieeexplore.ieee.org
Modern signal processing (SP) methods rely very heavily on probability and statistics to
solve challenging SP problems. SP methods are now expected to deal with ever more …

Cartoon-texture image decomposition using blockwise low-rank texture characterization

S Ono, T Miyata, I Yamada - IEEE Transactions on Image …, 2014 - ieeexplore.ieee.org
Using a novel characterization of texture, we propose an image decomposition technique
that can effectively decomposes an image into its cartoon and texture components. The …

Determined BSS based on time-frequency masking and its application to harmonic vector analysis

K Yatabe, D Kitamura - IEEE/ACM Transactions on Audio …, 2021 - ieeexplore.ieee.org
This paper proposes harmonic vector analysis (HVA) based on a general algorithmic
framework of audio blind source separation (BSS) that is also presented in this paper. BSS …

A stochastic majorize-minimize subspace algorithm for online penalized least squares estimation

E Chouzenoux, JC Pesquet - IEEE Transactions on Signal …, 2017 - ieeexplore.ieee.org
Stochastic approximation techniques play an important role in solving many problems
encountered in machine learning or adaptive signal processing. In these contexts, the …

Hierarchical convex optimization with primal-dual splitting

S Ono, I Yamada - IEEE Transactions on Signal Processing, 2014 - ieeexplore.ieee.org
This paper addresses the selection of a desirable solution among all the solutions of a
convex optimization problem (referred to as the first-stage problem) mainly for inverse …

Stochastic forward-backward and primal-dual approximation algorithms with application to online image restoration

PL Combettes, JC Pesquet - 2016 24th European Signal …, 2016 - ieeexplore.ieee.org
Stochastic approximation techniques have been used in various contexts in data science.
We propose a stochastic version of the forward-backward algorithm for minimizing the sum …

Online model selection and learning by multikernel adaptive filtering

M Yukawa, R Ishii - 21st European Signal Processing …, 2013 - ieeexplore.ieee.org
We propose an efficient multikernel adaptive filtering algorithm with double regularizers,
providing a novel pathway towards online model selection and learning. The task is the …

Denoising using projections onto the epigraph set of convex cost functions

M Tofighi, K Kose, AE Cetin - 2014 IEEE International …, 2014 - ieeexplore.ieee.org
A new denoising algorithm based on orthogonal projections onto the epigraph set of a
convex cost function is presented. In this algorithm, the dimension of the minimization …

Exploiting sparsity in feed-forward active noise control with adaptive Douglas-Rachford splitting

M Yamagishi, I Yamada - 2013 Asia-Pacific Signal and …, 2013 - ieeexplore.ieee.org
Observing that a typical primary path in Active Noise Control (ANC) system is sparse, ie,
having a few significant coefficients, we propose an adaptive learning which promotes the …