Tensor completion and low-n-rank tensor recovery via convex optimization

S Gandy, B Recht, I Yamada - Inverse problems, 2011 - iopscience.iop.org
In this paper we consider sparsity on a tensor level, as given by the n-rank of a tensor. In an
important sparse-vector approximation problem (compressed sensing) and the low-rank …

A fully single loop algorithm for bilevel optimization without hessian inverse

J Li, B Gu, H Huang - Proceedings of the AAAI Conference on Artificial …, 2022 - ojs.aaai.org
In this paper, we propose a novel Hessian inverse free Fully Single Loop Algorithm (FSLA)
for bilevel optimization problems. Classic algorithms for bilevel optimization admit a double …

Regularization by denoising via fixed-point projection (RED-PRO)

R Cohen, M Elad, P Milanfar - SIAM Journal on Imaging Sciences, 2021 - SIAM
Inverse problems in image processing are typically cast as optimization tasks, consisting of
data fidelity and stabilizing regularization terms. A recent regularization strategy of great …

A first order method for solving convex bilevel optimization problems

S Sabach, S Shtern - SIAM Journal on Optimization, 2017 - SIAM
In this paper we study convex bilevel optimization problems for which the inner level
consists of minimization of the sum of smooth and nonsmooth functions. The outer level aims …

Toward energy-efficient 5G wireless communications technologies: Tools for decoupling the scaling of networks from the growth of operating power

RLG Cavalcante, S Stanczak… - IEEE Signal …, 2014 - ieeexplore.ieee.org
The densification and expansion of wireless networks pose new challenges on energy
efficiency. With a drastic increase of infrastructure nodes (eg ultradense deployment of small …

Convex Bi-level Optimization Problems with Nonsmooth Outer Objective Function

R Merchav, S Sabach - SIAM Journal on Optimization, 2023 - SIAM
In this paper, we propose the Bi-Sub-Gradient (Bi-SG) method, which is a generalization of
the classical sub-gradient method to the setting of convex bi-level optimization problems …

Communication-efficient federated bilevel optimization with global and local lower level problems

J Li, F Huang, H Huang - Advances in Neural Information …, 2024 - proceedings.neurips.cc
Bilevel Optimization has witnessed notable progress recently with new emerging efficient
algorithms. However, its application in the Federated Learning setting remains relatively …

Local stochastic bilevel optimization with momentum-based variance reduction

J Li, F Huang, H Huang - arXiv preprint arXiv:2205.01608, 2022 - arxiv.org
Bilevel Optimization has witnessed notable progress recently with new emerging efficient
algorithms and has been applied to many machine learning tasks such as data cleaning …

Improved bilevel model: Fast and optimal algorithm with theoretical guarantee

J Li, B Gu, H Huang - arXiv preprint arXiv:2009.00690, 2020 - arxiv.org
Due to the hierarchical structure of many machine learning problems, bilevel programming
is becoming more and more important recently, however, the complicated correlation …

Kernel-based adaptive online reconstruction of coverage maps with side information

M Kasparick, RLG Cavalcante… - IEEE Transactions …, 2015 - ieeexplore.ieee.org
In this paper, we address the problem of reconstructing coverage maps from path-loss
measurements in cellular networks. We propose and evaluate two kernel-based adaptive …