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Coordinate descent (CD) algorithms have become the method of choice for solving a number of optimization problems in machine learning. They are particularly popular for training linear models, including linear support vector machine…

Machine Learning · Statistics 2014-01-16 Tobias Glasmachers , Ürün Dogan

Recent advances in cellular communication systems resulted in a huge increase in spectrum demand. To meet the requirements of the ever-growing need for spectrum, efficient utilization of the existing resources is of utmost importance.…

Networking and Internet Architecture · Computer Science 2013-10-01 K Viswanadh , Dr. G Rama Murthy

We present the results of a comprehensive study of optimization algorithms for the calibration of quantum devices. As part of our ongoing efforts to automate bring-up, tune-up, and system identification procedures, we investigate a broad…

Quantum Physics · Physics 2026-04-14 Kevin Pack , Shai Machnes , Frank K. Wilhelm

Orbital angular momentum (OAM) at radio-frequency provides a novel approach of multiplexing a set of orthogonal modes on the same frequency channel to achieve high spectral efficiencies. However, classical phase gradient-based OAM mode…

Signal Processing · Electrical Eng. & Systems 2021-12-01 Jiabei Fan , Rui Chen , Wen-Xuan Long , Marco Moretti , Jiandong Li

Proximal bundle methods (PBM) are a powerful class of algorithms for convex optimization. Compared to gradient descent, PBM constructs more accurate surrogate models that incorporate gradients and function values from multiple past…

Optimization and Control · Mathematics 2026-04-02 Zhuoqing Zheng , Junshan Yin , Shaofu Yang , Xuyang Wu

We propose a modified decomposition algorithm (MDA) to solve the asymptotic communication for omniscience (CO) problem where the communication rates could be real or fractional. By starting with a lower estimation of the minimum sum-rate,…

Information Theory · Computer Science 2016-07-19 Ni Ding , Chung Chan , Qiaoqiao Zhou , Rodney A. Kennedy , Parastoo Sadeghi

In this paper, we propose an interior-point method for linearly constrained optimization problems (possibly nonconvex). The method - which we call the Hessian barrier algorithm (HBA) - combines a forward Euler discretization of Hessian…

Optimization and Control · Mathematics 2023-09-14 Immanuel M. Bomze , Panayotis Mertikopoulos , Werner Schachinger , Mathias Staudigl

The aim of sparse approximation is to estimate a sparse signal according to the measurement matrix and an observation vector. It is widely used in data analytics, image processing, and communication, etc. Up to now, a lot of research has…

Signal Processing · Electrical Eng. & Systems 2018-05-31 Hao Wang , Ruibin Feng , Chi-Sing Leung

Nonsmooth composite optimization with orthogonality constraints has a wide range of applications in statistical learning and data science. However, this problem is challenging due to its nonsmooth objective and computationally expensive…

Optimization and Control · Mathematics 2026-05-15 Ganzhao Yuan

In this paper, we propose a predictor-corrector type Consensus Based Optimization (CBO) algorithm on a convex feasible set. Our proposed algorithm generalizes the CBO algorithm in [11] to tackle a constrained optimization problem for the…

Optimization and Control · Mathematics 2021-10-14 Hyeong-Ohk Bae , Seung-Yeal Ha , Myeongju Kang , Hyuncheul Lim , Chanho Min , Jane Yoo

We present a fast algorithm for approximate Canonical Correlation Analysis (CCA). Given a pair of tall-and-thin matrices, the proposed algorithm first employs a randomized dimensionality reduction transform to reduce the size of the input…

Data Structures and Algorithms · Computer Science 2013-05-03 Haim Avron , Christos Boutsidis , Sivan Toledo , Anastasios Zouzias

Consensus-based optimization (CBO) is a powerful and versatile zero-order multi-particle method designed to provably solve high-dimensional global optimization problems, including those that are genuinely nonconvex or nonsmooth. The method…

Optimization and Control · Mathematics 2026-02-13 Massimo Fornasier , Hui Huang , Jona Klemenc , Greta Malaspina

Accurate extrinsic calibration of multiple LiDARs is crucial for improving the foundational performance of three-dimensional (3D) map reconstruction systems. This paper presents a novel targetless extrinsic calibration framework for…

Robotics · Computer Science 2025-07-15 Han Ye , Yuqiang Jin , Jinyuan Liu , Tao Li , Wen-An Zhang , Minglei Fu

Diffractive lenses have recently been applied to the domain of multispectral imaging in the X-ray and UV regimes where they can achieve very high resolution as compared to reflective and refractive optics. Conventionally, spectral…

Image and Video Processing · Electrical Eng. & Systems 2020-05-26 Evan Widloski , Ulas Kamaci , Farzad Kamalabadi

This paper proposes a new family of algorithms for training neural networks (NNs). These are based on recent developments in the field of non-convex optimization, going under the general name of successive convex approximation (SCA)…

Machine Learning · Statistics 2017-06-16 Simone Scardapane , Paolo Di Lorenzo

Robust classification becomes challenging when each class consists of multiple subclasses. Examples include multi-font optical character recognition and automated protein function prediction. In correlation-based nearest-neighbor…

Computer Vision and Pattern Recognition · Computer Science 2016-11-18 Taehoon Lee , Taesup Moon , Seung Jean Kim , Sungroh Yoon

In this paper, we introduce Symmetric Low-Rank Adapters, an optimized variant of LoRA with even fewer weights. This method utilizes Low-Rank Symmetric Weight Matrices to learn downstream tasks more efficiently. Traditional LoRA accumulates…

Machine Learning · Computer Science 2025-04-17 Tales Panoutsos , Rodrygo L. T. Santos , Flavio Figueiredo

The sliding cubes model is a well-established theoretical framework that supports the analysis of reconfiguration algorithms for modular robots consisting of face-connected cubes. The best algorithm currently known for the reconfiguration…

Computational Geometry · Computer Science 2023-12-27 Irina Kostitsyna , Tim Ophelders , Irene Parada , Tom Peters , Willem Sonke , Bettina Speckmann

LiDAR odometry is one of the essential parts of LiDAR simultaneous localization and mapping (SLAM). However, existing LiDAR odometry tends to match a new scan simply iteratively with previous fixed-pose scans, gradually accumulating errors.…

Computer Vision and Pattern Recognition · Computer Science 2022-09-20 Letian Zhang , Jinping Wang , Lu Jie , Nanjie Chen , Xiaojun Tan , Zhifei Duan

The robust adjustment of nonlinear models to data is considered in this paper. When data comes from real experiments, it is possible that measurement errors cause the appearance of discrepant values, which should be ignored when adjusting…

Optimization and Control · Mathematics 2019-12-02 E. V. Castelani , R. Lopes , W. V. I. Shirabayashi , F. N. C. Sobral