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Multi-camera systems offer rich observation capabilities for visual navigation and 3D scene reconstruction; however, the resulting feature redundancy often compromises computational efficiency. This challenge is particularly pronounced…

Computer Vision and Pattern Recognition · Computer Science 2026-04-28 Shunkun Liang , Banglei Guan , Bin Li , Qifeng Yu , Yang Shang

This paper presents a novel stochastic optimisation methodology to perform empirical Bayesian inference in semi-blind image deconvolution problems. Given a blurred image and a parametric class of possible operators, the proposed…

Applications · Statistics 2024-03-12 Charlesquin Kemajou Mbakam , Marcelo Pereyra , Jean-François Giovannelli

Network design problems involve constructing edges in a transportation or supply chain network to minimize construction and daily operational costs. We study a stochastic version where operational costs are uncertain due to fluctuating…

Optimization and Control · Mathematics 2025-01-08 Dimitris Bertsimas , Ryan Cory-Wright , Jean Pauphilet , Periklis Petridis

Large-scale multi-layer networks with large numbers of nodes, edges, and layers arise across various domains, which poses a great computational challenge for the downstream analysis. In this paper, we develop an efficient randomized…

Computation · Statistics 2025-01-10 Wenqing Su , Xiao Guo , Xiangyu Chang , Ying Yang

The high-order relations between the content in social media sharing platforms are frequently modeled by a hypergraph. Either hypergraph Laplacian matrix or the adjacency matrix is a big matrix. Randomized algorithms are used for low-rank…

Social and Information Networks · Computer Science 2019-08-23 Georgios Karantaidis , Ioannis Sarridis , Constantine Kotropoulos

This paper proposes an algorithm to efficiently solve multistage stochastic programs with block separable recourse where each recourse problem is a multistage stochastic program with stage-wise independent uncertainty. The algorithm first…

Optimization and Control · Mathematics 2025-07-30 Nicolò Mazzi , Ken Mckinnon , Hongyu Zhang

Global bundle adjustment is made easy by depth prediction and convex optimization. We (i) propose a scaled bundle adjustment (SBA) formulation that lifts 2D keypoint measurements to 3D with learned depth, (ii) design an empirically tight…

Robotics · Computer Science 2025-07-02 Haoyu Han , Heng Yang

We consider spectral clustering algorithms for community detection under a general bipartite stochastic block model (SBM). A modern spectral clustering algorithm consists of three steps: (1) regularization of an appropriate adjacency or…

Statistics Theory · Mathematics 2018-12-27 Zhixin Zhou , Arash A. Amini

Reconstructing an accurate and consistent large-scale LiDAR point cloud map is crucial for robotics applications. The existing solution, pose graph optimization, though it is time-efficient, does not directly optimize the mapping…

Robotics · Computer Science 2022-09-27 Xiyuan Liu , Zheng Liu , Fanze Kong , Fu Zhang

Observations of the redshifted 21-cm line from the epoch of reionization have recently motivated the construction of low frequency radio arrays with highly redundant configurations. These configurations provide an alternative calibration…

Instrumentation and Methods for Astrophysics · Physics 2018-02-28 T. L. Grobler , G. Bernardi , J. S. Kenyon , A. R. Parsons , O. M. Smirnov

Stochastic optimization algorithms update models with cheap per-iteration costs sequentially, which makes them amenable for large-scale data analysis. Such algorithms have been widely studied for structured sparse models where the sparsity…

Machine Learning · Computer Science 2019-05-10 Baojian Zhou , Feng Chen , Yiming Ying

This paper proposes distributed algorithms to solve robust convex optimization (RCO) when the constraints are affected by nonlinear uncertainty. We adopt a scenario approach by randomly sampling the uncertainty set. To facilitate the…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-01-16 Keyou You , Roberto Tempo , Pei Xie

Computed tomography is a widely used imaging modality with applications ranging from medical imaging to material analysis. One major challenge arises from the lack of scanning information at certain angles, resulting in distortion or…

We consider large-scale nonlinear least squares problems with sparse residuals, each of them depending on a small number of variables. A decoupling procedure which results in a splitting of the original problems into a sequence of…

Optimization and Control · Mathematics 2023-01-12 Natasa Krejic , Greta Malaspina , Lense Swaenen

The distributed operating room (OR) scheduling problem aims to find an assignment of surgeries to ORs across collaborating hospitals that share their waiting lists and ORs. We propose a stochastic extension of this problem where surgery…

Optimization and Control · Mathematics 2020-10-06 Cheng Guo , Merve Bodur , Dionne M. Aleman , David R. Urbach

Spectral Clustering (SC) is one of the most widely used methods for data clustering. It first finds a low-dimensonal embedding $U$ of data by computing the eigenvectors of the normalized Laplacian matrix, and then performs k-means on…

Computer Vision and Pattern Recognition · Computer Science 2018-05-29 Canyi Lu , Shuicheng Yan , Zhouchen Lin

We study the accuracy of triangulation in multi-camera systems with respect to the number of cameras. We show that, under certain conditions, the optimal achievable reconstruction error decays quadratically as more cameras are added to the…

Computer Vision and Pattern Recognition · Computer Science 2018-04-30 Adam Scholefield , Alireza Ghasemi , Martin Vetterli

In this paper we develop random block coordinate gradient descent methods for minimizing large scale linearly constrained separable convex problems over networks. Since we have coupled constraints in the problem, we devise an algorithm that…

Optimization and Control · Mathematics 2015-12-14 I. Necoara , Yu. Nesterov , F. Glineur

We introduce a new algorithm to solve a regularized spatial-spectral image estimation problem. Our approach is based on the linearized alternating directions method of multipliers (LADMM), which is a variation of the popular ADMM algorithm.…

Signal Processing · Electrical Eng. & Systems 2025-02-25 Yunsong Liu , Debdut Mandal , Congyu Liao , Kawin Setsompop , Justin P. Haldar

Structure from motion using uncalibrated multi-camera systems is a challenging task. This paper proposes a bundle adjustment solution that implements a baseline constraint respecting that these cameras are static to each other. We assume…

Computer Vision and Pattern Recognition · Computer Science 2023-10-10 Debao Huang , Mostafa Elhashash , Rongjun Qin
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