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We study the Frank-Wolfe algorithm for constrained optimization problems with relatively smooth objectives. Building upon our previous work, we propose a fully adaptive variant of the Frank-Wolfe method that dynamically adjusts the step…

Optimization and Control · Mathematics 2025-08-27 A. A. Vyguzov , F. S. Stonyakin

This paper addresses a distributed optimization problem in a communication network where nodes are active sporadically. Each active node applies some learning method to control its action to maximize the global utility function, which is…

Optimization and Control · Mathematics 2021-04-20 Wenjie Li , Mohamad Assaad , Shiqi Zheng

When using constellation synergy to image large areas for reconnaissance, it is required to achieve the coverage capability requirements with minimal consumption of observation resources to obtain the most optimal constellation observation…

Computer Vision and Pattern Recognition · Computer Science 2022-12-07 Jiahao Zhou , Boheng Li , Qingxiang Meng

This study introduces a novel computational framework for Robust Topology Optimization (RTO) considering imprecise random field parameters. Unlike the worst-case approach, the present method provides upper and lower bounds for the mean and…

Computational Engineering, Finance, and Science · Computer Science 2022-01-28 Kang Gao , Duy Minh Doc , Sheng Chu , Gang Wu , H. Alicia Kim , Carol A. Featherston

We consider optimization problems in which the goal is find a $k$-dimensional subspace of $\mathbb{R}^n$, $k<<n$, which minimizes a convex and smooth loss. Such problems generalize the fundamental task of principal component analysis (PCA)…

Optimization and Control · Mathematics 2022-10-27 Dan Garber , Ron Fisher

Projection-free optimization via different variants of the Frank-Wolfe (FW), a.k.a. Conditional Gradient method has become one of the cornerstones in optimization for machine learning since in many cases the linear minimization oracle is…

Optimization and Control · Mathematics 2020-06-30 Pavel Dvurechensky , Petr Ostroukhov , Kamil Safin , Shimrit Shtern , Mathias Staudigl

To account for the randomness of propagation channels and interference levels in hierarchical spectrum sharing, a novel approach to multihop routing is introduced for cognitive random access networks, whereby packets are randomly routed…

Optimization and Control · Mathematics 2012-07-05 Emiliano Dall'Anese , Georgios B. Giannakis

We revisit the Frank-Wolfe (FW) optimization under strongly convex constraint sets. We provide a faster convergence rate for FW without line search, showing that a previously overlooked variant of FW is indeed faster than the standard…

Machine Learning · Computer Science 2019-02-01 Jarrid Rector-Brooks , Jun-Kun Wang , Barzan Mozafari

This paper focuses on waveform design for joint radar and communication systems and presents a new subset selection process to improve the communication error rate performance and global accuracy of radar sensing of the random stepped…

Information Theory · Computer Science 2024-01-17 Shalanika Dayarathna , Rajitha Senanayake , Peter Smith , Jamie Evans

Projection-free optimization via different variants of the Frank-Wolfe (FW) method has become one of the cornerstones in large scale optimization for machine learning and computational statistics. Numerous applications within these fields…

Optimization and Control · Mathematics 2021-08-03 Pavel Dvurechensky , Kamil Safin , Shimrit Shtern , Mathias Staudigl

We examine fundamental tradeoffs in iterative distributed zeroth and first order stochastic optimization in multi-agent networks in terms of \emph{communication cost} (number of per-node transmissions) and \emph{computational cost},…

Optimization and Control · Mathematics 2018-09-11 Anit Kumar Sahu , Dusan Jakovetic , Dragana Bajovic , Soummya Kar

We examine dense coding with an arbitrary pure entangled state sharing between the sender and the receiver. Upper bounds on the average success probability in approximate dense coding and on the probability of conclusive results in…

Quantum Physics · Physics 2009-11-13 Yuan Feng , Runyao Duan , Zhengfeng Ji

We have evaluated the optimal secrecy rate for Amplify-and-Forward (AF) relay networks with multiple eavesdroppers. Assuming i.i.d. Gaussian noise at the destination and the eavesdroppers, we have devised technique to calculate optimal…

Information Theory · Computer Science 2014-06-02 Siddhartha Sarma , Samar Agnihotri , Joy Kuri

Nodes in contemporary radio networks often have multiple interfaces available for communication: WiFi, cellular, LoRa, Zigbee, etc. This motivates understanding both link and network configuration when multiple communication modalities with…

Signal Processing · Electrical Eng. & Systems 2025-01-10 Amna Gillani , Beatriz Lorenzo , Majid Ghaderi , Fikadu Dagefu , Dennis Goeckel

Motivated principally by the low-rank matrix completion problem, we present an extension of the Frank-Wolfe method that is designed to induce near-optimal solutions on low-dimensional faces of the feasible region. This is accomplished by a…

Optimization and Control · Mathematics 2015-11-09 Robert M. Freund , Paul Grigas , Rahul Mazumder

This paper studies the communication complexity of convex risk-averse optimization over a network. The problem generalizes the well-studied risk-neutral finite-sum distributed optimization problem and its importance stems from the need to…

Optimization and Control · Mathematics 2023-03-08 Guanghui Lan , Zhe Zhang

In this paper, we investigate power allocation that maximizes the secrecy rate of orthogonal frequency division multiplexing (OFDM) systems under arbitrarily distributed inputs. Considering commonly assumed Gaussian inputs are unrealistic,…

Information Theory · Computer Science 2015-03-19 Haohao Qin , Yin Sun , Xiang Chen , Ming Zhao , Jing Wang

In this paper, we consider an intensity modulated direct detection MIMO optical wireless communication (OWC) system. For such a system, a novel super-rectangular cover theory is developed to characterize both the unique identifiability and…

Information Theory · Computer Science 2016-07-15 Yan-Yu Zhang , Hong-Yi Yu , Jian-Kang Zhang , Jin-Long Wang

The denoise-and-forward (DNF) method of physical-layer network coding (PNC) is a promising approach for wireless relaying networks. In this paper, we consider DNF-based PNC with M-ary quadrature amplitude modulation (M-QAM) and propose a…

Information Theory · Computer Science 2013-05-14 Shiqiang Wang , Qingyang Song , Lei Guo , Abbas Jamalipour

This paper addresses distributed stochastic optimization problems under non-i.i.d. data, focusing on the inherent trade-offs between communication and computational efficiency. To this end, we propose FlexGT, a flexible snapshot gradient…

Optimization and Control · Mathematics 2026-02-17 Yan Huang , Jinming Xu , Li Chai , Jiming Chen , Karl H. Johansson
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