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Many problems in computational neuroscience, neuroinformatics, pattern/image recognition, signal processing and machine learning generate massive amounts of multidimensional data with multiple aspects and high dimensionality. Tensors (i.e.,…

新兴技术 · 计算机科学 2014-08-26 Andrzej Cichocki

We consider tensor data completion of an incomplete observation of multidimensional harmonic (MH) signals. Unlike existing tensor-based techniques for MH retrieval (MHR), which mostly adopt the canonical polyadic decomposition (CPD) to…

信号处理 · 电气工程与系统科学 2025-01-28 Lei Wang , Xiao-Feng Gong , Xi-Yuan Liu , Wei Feng , Qiu-Hua Lin

Complex networks are frequently employed to model physical or virtual complex systems. When certain entities exist across multiple systems simultaneously, unveiling their corresponding relationships across the networks becomes crucial. This…

物理与社会 · 物理学 2025-04-16 Rui Tang , Ziyun Yong , Shuyu Jiang , Xingshu Chen , Yaofang Liu , Yi-Cheng Zhang , Gui-Quan Sun , Wei Wang

Variational inequalities as an effective tool for solving applied problems, including machine learning tasks, have been attracting more and more attention from researchers in recent years. The use of variational inequalities covers a wide…

最优化与控制 · 数学 2024-12-20 Daniil Medyakov , Gleb Molodtsov , Aleksandr Beznosikov

Higher-order tensors have received increased attention across science and engineering. While most tensor decomposition methods are developed for a single tensor observation, scientific studies often collect side information, in the form of…

统计方法学 · 统计学 2021-10-29 Jiaxin Hu , Chanwoo Lee , Miaoyan Wang

Nowadays, large and complex deep learning (DL) models are increasingly trained in a distributed manner across multiple worker machines, in which extensive communications between workers pose serious scaling problems. In this article, we…

分布式、并行与集群计算 · 计算机科学 2020-11-10 Shaohuai Shi , Zhenheng Tang , Xiaowen Chu , Chengjian Liu , Wei Wang , Bo Li

Data redundancy is ubiquitous in the inputs and intermediate results of Deep Neural Networks (DNN). It offers many significant opportunities for improving DNN performance and efficiency and has been explored in a large body of work. These…

机器学习 · 计算机科学 2022-08-30 Jou-An Chen , Wei Niu , Bin Ren , Yanzhi Wang , Xipeng Shen

Decomposition methods have been proposed to approximate solutions to large sequential decision making problems. In contexts where an agent interacts with multiple entities, utility decomposition can be used to separate the global objective…

机器学习 · 计算机科学 2019-04-24 Maxime Bouton , Kyle Julian , Alireza Nakhaei , Kikuo Fujimura , Mykel J. Kochenderfer

This paper considers the problem of reducing the broadcast decoding delay of wireless networks using instantly decodable network coding (IDNC) based device-to-device (D2D) communications. In a D2D configuration, devices in the network can…

信息论 · 计算机科学 2015-05-22 Ahmed Douik , Sameh Sorour , Tareq Y. Al-Naffouri , Hong-Chuan Yang , Mohamed-Slim Alouini

We consider the problem of gridless blind deconvolution and demixing (GB2D) in scenarios where multiple users communicate messages through multiple unknown channels, and a single base station (BS) collects their contributions. This scenario…

信息论 · 计算机科学 2023-08-08 Saeed Razavikia , Sajad Daei , Mikael Skoglund , Gabor Fodor , Carlo Fischione

Intermodal logistics typically include the successive stages of intermodal shipment and last-mile delivery. We investigate this problem under a novel Logic-Based Benders Decomposition, which exploits the staged nature of the problem to…

最优化与控制 · 数学 2022-10-12 Ioannis Avgerinos , Ioannis Mourtos , Georgios Zois

Emerging applications of machine learning in numerous areas involve continuous gathering of and learning from streams of data. Real-time incorporation of streaming data into the learned models is essential for improved inference in these…

机器学习 · 计算机科学 2020-12-01 Matthew Nokleby , Haroon Raja , Waheed U. Bajwa

Traditionally, networks such as datacenter interconnects are designed to optimize worst-case performance under arbitrary traffic patterns. Such network designs can however be far from optimal when considering the actual workloads and…

分布式、并行与集群计算 · 计算机科学 2017-05-18 Chen Avin , Kaushik Mondal , Stefan Schmid

Balancing convergence speed, generalization capability, and computational efficiency remains a core challenge in deep learning optimization. First-order gradient descent methods, epitomized by stochastic gradient descent (SGD) and Adam,…

We consider the task of minimizing the sum of convex functions stored in a decentralized manner across the nodes of a communication network. This problem is relatively well-studied in the scenario when the objective functions are smooth, or…

最优化与控制 · 数学 2024-05-29 Dmitry Kovalev , Ekaterina Borodich , Alexander Gasnikov , Dmitrii Feoktistov

Many contemporary signal processing, machine learning and wireless communication applications can be formulated as nonconvex nonsmooth optimization problems. Often there is a lack of efficient algorithms for these problems, especially when…

信息论 · 计算机科学 2017-12-14 Qingjiang Shi , Mingyi Hong , Xiao Fu , Tsung-Hui Chang

Benefiting from its capability to generalize existing reconfigurable intelligent surface (RIS) architectures and provide additional design flexibility via interactions between RIS elements, beyond-diagonal RIS (BD-RIS) has attracted…

信号处理 · 电气工程与系统科学 2025-01-20 Xiaohua Zhou , Tianyu Fang , Yijie Mao

Coordinate descent algorithms are widely used in machine learning and large-scale data analysis due to their strong optimality guarantees and impressive empirical performance in solving non-convex problems. In this work, we introduce Block…

最优化与控制 · 数学 2024-12-17 Zhijie Yuan , Ganzhao Yuan , Lei Sun

Reduced-order models have long been used to understand the behavior of nonlinear partial differential equations (PDEs). Naturally, reduced-order modeling techniques come at the price of computational accuracy for a decrease in computation…

数值分析 · 数学 2023-07-26 Jovan Žigić

Optimization networks are a new methodology for holistically solving interrelated problems that have been developed with combinatorial optimization problems in mind. In this contribution we revisit the core principles of optimization…