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This work concerns the zeroth-order global minimization of continuous nonconvex functions with a unique global minimizer and possibly multiple local minimizers. We formulate a theoretical framework for inexact proximal point (IPP) methods…

最优化与控制 · 数学 2025-06-03 Minxin Zhang , Fuqun Han , Yat Tin Chow , Stanley Osher , Hayden Schaeffer

This paper investigates a category of constrained fractional optimization problems that emerge in various practical applications. The objective function for this category is characterized by the ratio of a numerator and denominator, both…

最优化与控制 · 数学 2026-05-28 Yizun Lin , Jian-Feng Cai , Zhao-Rong Lai , Cheng Li

Joint low-rank and sparse unrolling networks have shown superior performance in dynamic MRI reconstruction. However, existing works mainly utilized matrix low-rank priors, neglecting the tensor characteristics of dynamic MRI images, and…

计算机视觉与模式识别 · 计算机科学 2025-02-18 Yinghao Zhang , Haiyan Gui , Ningdi Yang , Yue Hu

This paper focuses on minimizing a smooth function combined with a nonsmooth regularization term on a compact Riemannian submanifold embedded in the Euclidean space under a decentralized setting. Typically, there are two types of approaches…

最优化与控制 · 数学 2025-07-16 Lei Wang , Le Bao , Xin Liu

We propose a novel optimization-based decoding algorithm for LDPC-coded massive MIMO channels. The proposed decoding algorithm is based on a proximal gradient method for solving an approximate maximum a posteriori (MAP) decoding problem.…

信息论 · 计算机科学 2021-02-11 Tadashi Wadayama , Satoshi Takabe

We propose a learned-structured unfolding neural network for the problem of compressive sparse multichannel blind-deconvolution. In this problem, each channel's measurements are given as convolution of a common source signal and sparse…

信号处理 · 电气工程与系统科学 2021-02-15 Bahareh Tolooshams , Satish Mulleti , Demba Ba , Yonina C. Eldar

The integration of artificial intelligence (AI) with the Internet of Things (IoT) enables task-oriented communication for multi-edge cooperative inference system, where edge devices transmit extracted features of local sensory data to an…

信号处理 · 电气工程与系统科学 2025-10-28 Dongwon Kim , Jiwan Seo , Joonhyuk Kang

Millimeter-wave (mmW)/Terahertz (THz) wideband communication employing a large-scale antenna array is a promising technique of the sixth-generation (6G) wireless network for realizing massive machine-type communications (mMTC). To reduce…

信息论 · 计算机科学 2021-09-08 Xiaodan Shao , Xiaoming Chen , Caijun Zhong , Zhaoyang Zhang

Internet of Things (IoT) devices generate heterogeneous data over time; and relying solely on individual data points is inadequate for accurate analysis. Segmentation is a common preprocessing step in many IoT applications, including…

人工智能 · 计算机科学 2024-04-19 Seyed M. R. Modaresi , Aomar Osmani , Mohammadreza Razzazi , Abdelghani Chibani

Within the unmanageably large class of nonconvex optimization, we consider the rich subclass of nonsmooth problems that have composite objectives---this already includes the extensively studied convex, composite objective problems as a…

最优化与控制 · 数学 2012-09-18 Suvrit Sra

Proximal gradient methods are popular in sparse optimization as they are straightforward to implement. Nevertheless, they achieve biased solutions, requiring many iterations to converge. This work addresses these issues through a suitable…

最优化与控制 · 数学 2025-04-18 V. Cerone , S. M. Fosson , A. Re , D. Regruto

In this paper we propose and analyze two dual methods based on inexact gradient information and averaging that generate approximate primal solutions for smooth convex optimization problems. The complicating constraints are moved into the…

最优化与控制 · 数学 2013-02-14 Ion Necoara , Valentin Nedelcu

We analyze two classical algorithms for solving additively composite convex optimization problems where the objective is the sum of a smooth term and a nonsmooth regularizer: proximal stochastic gradient method for a single regularizer; and…

最优化与控制 · 数学 2026-02-06 Kevin Kurian Thomas Vaidyan , Michael P. Friedlander , Ahmet Alacaoglu

Network embedding, which learns low-dimensional vector representation for nodes in the network, has attracted considerable research attention recently. However, the existing methods are incapable of handling billion-scale networks, because…

社会与信息网络 · 计算机科学 2018-09-11 Ziwei Zhang , Peng Cui , Haoyang Li , Xiao Wang , Wenwu Zhu

We consider optimization problems over the Stiefel manifold whose objective function is the summation of a smooth function and a nonsmooth function. Existing methods for solving this kind of problems can be classified into three classes.…

最优化与控制 · 数学 2019-05-14 Shixiang Chen , Shiqian Ma , Anthony Man-Cho So , Tong Zhang

Understanding the structural mechanisms of multi-layer networks is essential for analyzing complex systems characterized by multiple interacting layers. This work studies the problem of estimating connection probabilities in multi-layer…

统计方法学 · 统计学 2026-02-26 Dingzi Guo , Diqing Li , Jingyi Wang , Wen-Xin Zhou

Grant-free random access (RA) has been recognized as a promising solution to support massive connectivity due to the removal of the uplink grant request procedures. While most endeavours assume perfect synchronization among users and the…

信号处理 · 电气工程与系统科学 2024-02-29 Xinyu Bian , Yuyi Mao , Jun Zhang

In the paper, we introduce several accelerate iterative algorithms for solving the multiple-set split common fixed-point problem of quasi-nonexpansive operators in real Hilbert space. Based on primal-dual method, we construct several…

最优化与控制 · 数学 2023-06-08 Chenzheng Guo , Jing Zhao

The Internet of Things and specifically the Tactile Internet give rise to significant challenges for notions of security. In this work, we introduce a novel concept for secure massive access. The core of our approach is a fast and…

信息论 · 计算机科学 2018-02-06 Gerhard Wunder , Ingo Roth , Rick Fritschek , Benedikt Groß , Jens Eisert

In this paper, we consider a broad class of nonsmooth and nonconvex fractional programs, where the numerator can be written as the sum of a continuously differentiable convex function whose gradient is Lipschitz continuous and a proper…

最优化与控制 · 数学 2022-01-19 Radu Ioan Boţ , Minh N. Dao , Guoyin Li