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We study the problem of hierarchical clustering on planar graphs. We formulate this in terms of an LP relaxation of ultrametric rounding. To solve this LP efficiently we introduce a dual cutting plane scheme that uses minimum cost perfect…

Data Structures and Algorithms · Computer Science 2015-09-11 Julian Yarkony , Charless C. Fowlkes

This paper is concerned with the investigation of the bistatic MIMO radar for estimating various multitarget parameters of interest in the presence of clutter and noise. The parameters of interest include Direction of Departure (DOD),…

Signal Processing · Electrical Eng. & Systems 2024-11-08 Nadeem Dar , Athanassios Manikas

We consider the design of polyphase waveforms for ground moving target detection with airborne multiple-input-multiple-output (MIMO) radar. Due to the constant-modulus and finite-alphabet constraint on the waveforms, the associated design…

Signal Processing · Electrical Eng. & Systems 2020-10-28 Bo Tang , Jonathan Tuck , Peter Stoica

This study proposes a mathematical model to optimally locate a set of detectors in such a way that the expected number of casualties in a given threat area can be minimized. Detectors may not be perfectly reliable, which is often a function…

Systems and Control · Electrical Eng. & Systems 2021-01-26 Mohammad Marufuzzaman , Amin Aghalari , Randy Buchanan , Christina H. Rinaudo , Kayla M. Houte , Julekha H. Ranta

We give an approximation algorithm for packing and covering linear programs (linear programs with non-negative coefficients). Given a constraint matrix with n non-zeros, r rows, and c columns, the algorithm computes feasible primal and dual…

Data Structures and Algorithms · Computer Science 2015-06-02 Christos Koufogiannakis , Neal E. Young

Radar sensing will be integrated into the 6G communication system to support various applications. In this integrated sensing and communication system, a radar target may also be a communication channel scatterer. In this case, the radar…

Information Theory · Computer Science 2022-02-08 Zhe Huang , Kexuan Wang , An Liu , Yunlong Cai , Rui Du , Tony Xiao Han

Low-rank representation~(LRR) has been a significant method for segmenting data that are generated from a union of subspaces. It is, however, known that solving the LRR program is challenging in terms of time complexity and memory…

Machine Learning · Statistics 2017-10-24 Jie Shen , Ping Li , Huan Xu

Linear-parametric optimization, where multiple objectives are combined into a single objective using linear combinations with parameters as coefficients, has numerous links to other fields in optimization and a wide range of application…

Optimization and Control · Mathematics 2025-01-22 Levin Nemesch , Stefan Ruzika , Clemens Thielen , Alina Wittmann

This work provides a theoretical analysis for optimally solving the pose estimation problem using total least squares for vector observations from landmark features, which is central to applications involving simultaneous localization and…

Robotics · Computer Science 2022-10-24 Saeed Maleki , Adhiti Raman , Yang Cheng , John Crassidis , Matthias Schmid

Multi-task learning, which optimizes performance across multiple tasks, is inherently a multi-objective optimization problem. Various algorithms are developed to provide discrete trade-off solutions on the Pareto front. Recently, continuous…

Machine Learning · Computer Science 2024-07-31 Weiyu Chen , James T. Kwok

Search-based methods that use motion primitives can incorporate the system's dynamics into the planning and thus generate dynamically feasible MAV trajectories that are globally optimal. However, searching high-dimensional state lattices is…

Robotics · Computer Science 2022-08-15 Daniel Schleich , Sven Behnke

In this paper we propose a global optimization-based approach to jointly matching a set of images. The estimated correspondences simultaneously maximize pairwise feature affinities and cycle consistency across multiple images. Unlike…

Computer Vision and Pattern Recognition · Computer Science 2015-12-03 Xiaowei Zhou , Menglong Zhu , Kostas Daniilidis

Joint radar and communication (RadCom) systems have been proposed to achieve the spectrum sharing between radar and communication in recent years. However, the joint RadCom systems cause the clutter modulation and the performance…

Signal Processing · Electrical Eng. & Systems 2023-11-14 Jifa Zhang

This work is motivated by solving a problem faced by big agriculture companies implementing precision agriculture operations for spraying practices using two types of operators, namely a tender tanker and a fleet of sprayers. We model this…

Optimization and Control · Mathematics 2023-12-18 Faisal Alkaabneh

Rapidly-exploring Random Tree (RRT) algorithms have been applied successfully to challenging robot motion planning and under-actuated nonlinear control problems. However a fundamental limitation of the RRT approach is the slow convergence…

Robotics · Computer Science 2024-11-04 Mathew Mithra Noel , Akshay Chawla

With the popularity of drone technologies, aerial photography has become prevalent in many daily scenarios such as environment monitoring, structure inspection, law enforcement etc. A central challenge in this domain is the efficient…

Robotics · Computer Science 2025-12-30 Si Wei Feng

Sparse Bayesian learning (SBL)-aided target localization is conceived for a bistatic mmWave MIMO radar system in the presence of unknown clutter, followed by the development of an angle-Doppler (AD)-domain representation of the…

Signal Processing · Electrical Eng. & Systems 2025-06-16 Priyanka Maity , Suraj Srivastava , Aditya K. Jagannatham , Lajos Hanzo

We propose a method for low-rank semidefinite programming in application to the semidefinite relaxation of unconstrained binary quadratic problems. The method improves an existing solution of the semidefinite programming relaxation to…

Optimization and Control · Mathematics 2021-12-07 Roman Pogodin , Mikhail Krechetov , Yury Maximov

This paper examines the problem of state estimation in power distribution systems under low-observability conditions. The recently proposed constrained matrix completion method which combines the standard matrix completion method and power…

Optimization and Control · Mathematics 2020-06-09 Yajing Liu , April Sagan , Andrey Bernstein , Rui Yang , Xinyang Zhou , Yingchen Zhang

In this paper, we study the complexity of computing locally optimal solutions for weighted versions of standard set problems such as SetCover, SetPacking, and many more. For our investigation, we use the framework of PLS, as defined in…

Computational Complexity · Computer Science 2015-05-18 Dominic Dumrauf , Tim Süß