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Gradient descent-ascent (GDA) is a widely used algorithm for minimax optimization. However, GDA has been proved to converge to stationary points for nonconvex minimax optimization, which are suboptimal compared with local minimax points. In…

Optimization and Control · Mathematics 2023-02-21 Ziyi Chen , Zhengyang Hu , Qunwei Li , Zhe Wang , Yi Zhou

We present novel convex-optimization-based solutions to the problem of blind beamforming of constant modulus signals, and to the related problem of linearly constrained blind beamforming of constant modulus signals. These solutions ensure…

Information Theory · Computer Science 2017-04-12 Amir Adler , Mati Wax

In this paper, we consider a class of nonconvex (not necessarily differentiable) optimization problems called generalized DC (Difference-of-Convex functions) programming, which is minimizing the sum of two separable DC parts and one…

Optimization and Control · Mathematics 2023-08-07 Hongjin He , Zhiyuan Zhang

This paper studies smooth nonconvex-concave minimax optimization and two acceleration mechanisms for single-loop first-order methods: dual perturbation and smoothing. Although both techniques improve convergence guarantees, their relative…

Optimization and Control · Mathematics 2026-04-30 Jiajin Li , Mahesh Nagarajan , Siyu Pan , Nanxi Zhang

In this paper, a closed-form solution minimizing the Godard or Constant Modulus (CM) cost function under the practical conditions of finite SNR and finite equalizer length is derived. While previous work has been reported by Zeng et al.,…

Computer Science and Game Theory · Computer Science 2007-07-13 Christophe Laot , Nicolas Le Josse

Cellular Automata (CA) theory is a discrete model that represents the state of each of its cells from a finite set of possible values which evolve in time according to a pre-defined set of transition rules. CA have been applied to a number…

Computer Vision and Pattern Recognition · Computer Science 2017-05-22 Karttikeya Mangalam , K S Venkatesh

In this paper we consider discrete robot path planning problems on metric graphs. We propose a clustering method, Gamma-Clustering for the planning graph that significantly reduces the number of feasible solutions, yet retains a solution…

Robotics · Computer Science 2017-03-02 Frank Imeson , Stephen L. Smith

Multi-modality image fusion enhances scene perception by combining complementary information. Unified models aim to share parameters across modalities for multi-modality image fusion, but large modality differences often cause gradient…

Computer Vision and Pattern Recognition · Computer Science 2025-11-18 Xilai Li , Xiaosong Li , Weijun Jiang

Conjugate gradient minimization methods (CGM) and their accelerated variants are widely used. We focus on the use of cubic regularization to improve the CGM direction independent of the step length computation. In this paper, we propose the…

Optimization and Control · Mathematics 2024-08-29 Cassidy K. Buhler , Hande Y. Benson , David F. Shanno

We propose a stochastic conditional gradient method (CGM) for minimizing convex finite-sum objectives formed as a sum of smooth and non-smooth terms. Existing CGM variants for this template either suffer from slow convergence rates, or…

Machine Learning · Computer Science 2022-04-19 Gideon Dresdner , Maria-Luiza Vladarean , Gunnar Rätsch , Francesco Locatello , Volkan Cevher , Alp Yurtsever

Stationary iterative methods with a symmetric splitting matrix are performed as inner-iteration preconditioning for Krylov subspace methods. We give conditions such that the inner-iteration preconditioning matrix is definite, and show that…

Numerical Analysis · Mathematics 2019-05-20 Keiichi Morikuni

Composite function minimization captures a wide spectrum of applications in both computer vision and machine learning. It includes bound constrained optimization and cardinality regularized optimization as special cases. This paper proposes…

Optimization and Control · Mathematics 2016-12-08 Ganzhao Yuan , Wei-Shi Zheng , Bernard Ghanem

The Hamiltonian Monte Carlo (HMC) method allows sampling from continuous densities. Favorable scaling with dimension has led to wide adoption of HMC by the statistics community. Modern auto-differentiating software should allow more…

Computation · Statistics 2022-08-17 Ian Langmore , Michael Dikovsky , Scott Geraedts , Peter Norgaard , Rob von Behren

Fusing an arbitrary number of modalities is vital for achieving robust multi-modal fusion of semantic segmentation yet remains less explored to date. Recent endeavors regard RGB modality as the center and the others as the auxiliary,…

Computer Vision and Pattern Recognition · Computer Science 2024-08-27 Xu Zheng , Yuanhuiyi Lyu , Jiazhou Zhou , Lin Wang

In this letter, we propose an efficient mix source separation algorithm for collision resolution in radio frequency identification (RFID) systems equipped with an antenna array at the reader. We first introduce an approach that exploits the…

Signal Processing · Electrical Eng. & Systems 2025-11-20 Mohamed Siala , Noura Sellami

The global minimum point of an optimization problem is of interest in engineering fields and it is difficult to be found, especially for a nonconvex large-scale optimization problem. In this article, we consider a new memetic algorithm for…

Neural and Evolutionary Computing · Computer Science 2023-12-14 Xin-long Luo , Hang Xiao , Sen Zhang

Deep neural networks are often not robust to semantically-irrelevant changes in the input. In this work we address the issue of robustness of state-of-the-art deep convolutional neural networks (CNNs) against commonly occurring distortions…

Computer Vision and Pattern Recognition · Computer Science 2020-12-03 Nikhil Kapoor , Chun Yuan , Jonas Löhdefink , Roland Zimmermann , Serin Varghese , Fabian Hüger , Nico Schmidt , Peter Schlicht , Tim Fingscheidt

For many problems, some of which are reviewed in the paper, popular algorithms like Douglas--Rachford (DR), ADMM, and FISTA produce approximating sequences that show signs of spiraling toward the solution. We present a meta-algorithm that…

Optimization and Control · Mathematics 2022-09-09 Scott B. Lindstrom

A modulation classification (MC) scheme based on Independent Component Analysis (ICA) in conjunction with either maximum likelihood (ML) or Support Vector Machines (SVM) is proposed for MIMO-OFDM signals over frequency selective, time…

Information Theory · Computer Science 2013-07-18 Yu Liu , Alexander M. Haimovich , Wei Su , Jason Dabin , Emmanuel Kanterakis

Multi-modal medical images provide complementary soft-tissue characteristics that aid in the screening and diagnosis of diseases. However, limited scanning time, image corruption and various imaging protocols often result in incomplete…

Computer Vision and Pattern Recognition · Computer Science 2024-07-10 Yue Zhang , Chengtao Peng , Qiuli Wang , Dan Song , Kaiyan Li , S. Kevin Zhou